The initial deposit was $8000 and after 18 years the simple interest earned is $12960. So, the total amount for Melissa in college account is $20,960.
What is Simple Interest?
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
The amount that was put in college fund for Melissa, P = $8000
The rate at which interest was earned is, R = 9%
The time period after which the account was checked, T = 18 years
The formula for Simple Interest is -
S.I. = (P R T)/100
Substitute the values into the equation -
S.I. = (P R T)/100
S.I. = (8000 × 9 × 18)/100
S.I. = 1296000/100
S.I. = 12960
The amount of interest earned in 18 years is $12960.
The total amount after 18 years will be -
Total Amount = Initial deposit + Interest earned
Total Amount = $8000 + $12960
Total Amount = $20960
Therefore, the total amount after 18 years is $ 20,960.
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When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. After 18 years, she had $20,960 in the account. How did this happen?
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did harris eat? write your answer as an expression
Harris ate (n - 4)/4 number of slices of pizza.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
4 friends evenly divided up an n-slice pizza.
That means,
n / 4.
One of the friends, Harris, ate 1 fewer slice than he received.
That means,
n/4 - 1
= (n - 4)/4
Therefore, Harris ate (n - 4)/4.
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Noah had 151 stamps. He had 42 more stamps than Jonas.
a) How many stamps did Jonas have?
b) How many stamps must Noah give to Jonas so that they each have the same number of stamps?
A linear combination of the values of a1 = (1,-2,0), a2 = (0,1,2), and a3 = (5,-6,8) with the corresponding weights is b = (2,-1,6).
How to find the calculation?We may construct a system of equations using the coefficients of the linear combination and the elements a1, a2, and a3 to determine whether b is a linear combination of a1, a2, and a3.
It is possible to write the equation for a linear combination of the type b = k1a1 + k2a2 + k3a3 in the following way:
b = k1 × (1,-2,0) + k2 × (0,1,2) + k3 × (5,-6,8) (5,-6,8)
So,
x = k1 + 5k3
y = -2k1 + k2 - 6k3
z = 2k2 + 8k3
From b =, we know the values of x, y, and z. (2,-1,6)
Thus, we can construct the equations in the following system:
x = k1 + 5k3 = 2
y = -2k1 + k2 - 6k3 = -1
z = 2k2 + 8k3 = 6
To determine the values of k1, k2, and k3, we can solve the system of equations using techniques like substitution or elimination.
k1 = 1, k2 = 3, k3 = 1
As a result, we can write b as a linear combination of the variables a1, a2, and a3 with the respective weights of (1, 3, and 1) for k1, k2, and k3.
b = 1a1 + 3a2 + 1 × a3
This indicates that b is a linear combination of the three variables a1, a2, and a3 with the weights (1, 1, and 3, respectively).
The Complete Question linear combination.
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write the standard form of nine-ninths
Answer:
Step-by-step explanation:40
41
+
9
i
41
there is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds. when a metal cube is submerged tied to a string end into the container, which of the following statements accurately describes the result?
The scale will register a weight greater than 80 pounds due to Newton’s Third Law
Given that there is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds.will register a weight greater than 80 pounds
When a body is submerged in a water an upward force acts on the body known as buoyant force which is equal to weight of the water displaced by the body. Since water exerts Buoyant force on the body and according to Newton's third law there must be equal and opposite force exerted by the body on the water. This additional force equal and opposite to the Buoyant force will cause the reading of the scale to increase. Therefore the scale will register a weight greater than 80 pounds due to Newton’s Third Law.
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The complete question is :
There is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds. When a metal cube is submerged tied to a string end into the container, which of the following statements accurately describes the result?
The cube’s density must be provided to predict what will happen
The scale will remain at 80 pounds until the cube is floating on top of the water fully submerged.
The scale will register a weight greater than 80 pounds due to Newton’s Third Law
The scale will register a weight greater than 80 pounds due to Newton’s Third Law
Are the expressions k+0.10k and1.1k equivalent? If not which expression is equivalent to the first one?
Taking k as a common factor on the first expression, we can rewrite that into the second one, thus, the expressions are equivalent.
Are the two expressions equivalent?
Two expressions are equivalent only of we can, using algebra, rewrite one of the expressions into the other one.
The two given expressions are:
k + 0.10k
and
1.1k
Now let's take the first expression:
k + 0.10k
We can take k as a common factor, then we will get:
k + 0.10k = (1 + 0.10)k = 1.1k
So yea, the two expressions are equivalent.
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A bag contains 2 gold marbles, 10 silver marbles, and 30 black marbles. You randomly select one marble from the bag. What is the probability that you select a gold marble? Give your answer as a reduced fraction.
The probability that you select a gold marble is, 1/21.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
A bag contains 2 gold marbles, 10 silver marbles, and 30 black marbles.
Here, Number of gold marbles = 2
And, Number of total marbles = 2 + 10 + 30
= 42
Hence, The probability that you select a gold marble is,
⇒ Number of gold marbles / Total number of marbles
⇒ 2 / 42
⇒ 1 / 21
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In the 30-60-90 triangle below, side s has a length of________ and side q has a length of_______
A. 16√3, 5
B. 8-5, 16
C. 4, 8√3
D. 4√2, 4√2
E. 4, 4.5
F. 16√3, 16√3
In the 30-60-90 triangle below, side s has a length of 4 and side q has a length of [tex]4\sqrt{3}[/tex] (Option E).
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem. The Pythagorean Theorem says (hypotenuse)²= (leg1)²+(leg2)². And the main trigonometric ratios are: sin (x) , cos (x) and tan (x) .
The question asks the value of sides s and q of the given right triangle. If you have the value of the hypotenuse and all angles of the triangle, you can solve this exercise by applying the trigonometric ratios. See below.
[tex]sin 30\° = \frac{opposite \; leg}{hypotenuse}\\ \\ \frac{1}{2}=\frac{s}{8} \\ \\ 2s=8\\ \\ s=4[/tex]
[tex]cos 30\° = \frac{adjacent\; leg}{hypotenuse}\\ \\ \frac{\sqrt{3} }{2}=\frac{q}{8} \\ \\ 2q=8\sqrt{3} \\ \\ q=4\sqrt{3}[/tex]
Therefore, the solution to this question is the letter E.
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fill in the blank. my buddy and i have just finished a dive to 15 metres/50 feet for 60 minutes. we want to return to the same site and depth and stay another 60 minutes. we can___to see about how long we have to remain at the surface to have enough no stop time. (choose all that apply)
The answer for the blank is we can use a dive table or computer.
When planning a subsequent dive, it is important to take into account the dive time, depth, and surface interval from the previous dive in order to safely plan for the next dive. To determine the required surface interval, one can use a dive table or a dive computer.
A dive table is a printed or electronic table that provides information about the safe amount of time that can be spent at certain depths, based on the previous dive. The table will take into account the dive time, depth, and surface interval from the previous dive, and provide a recommended surface interval to ensure safe diving.
A dive computer, on the other hand, is an electronic device that is worn by the diver and calculates the safe amount of time that can be spent at a certain depth, based on the diver's previous dive. The dive computer takes into account the dive time, depth, and surface interval from the previous dive, and provides a recommended surface interval to ensure safe diving.
In summary, to determine the required surface interval before returning to the same site and depth for another 60 minutes dive, one can use a dive table or a dive computer. These tools will give you the recommended time for your surface interval, based on your previous dive profile, so you can ensure you have enough no-stop time for your next dive.
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A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $23,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. C(x) = (b) Find the total profit function P. P(x) = (c) What is the profit for the company if 1,900 units are produced and sold each week? $
The total cost function C is T(x) = 0.000001x³ - 0.03x² + 200x + 15,000, the total profit function P is P(x) = 0.000001x³ - 0.01x² + 50x + 15,000 and the profit for the company if 1,900 units are produced and sold each week is $80,759
The term function in math is written as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.
Here we have given that the division of Chapman Corporation manufactures a pager.
Here we also know that the weekly fixed cost for the division is $15,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x).
Then the function is written as,
=> V(x)= 0.000001x³ - 0.01x² + 50x.
Here we have given that company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x).
Then the function is written as,
=> R(x)= -0.02x² + 150x Where the value of x lies between (0<x<7500)
Then the total cost is calculated as,
=> T(x) = Total Cost + fixed cost + variable cost
Then apply the values on it, then we get,
=> T(x) = 15,000 + 0.000001x³ - 0.01x² + 50x - 0.02x² + 150x
=> T(x) = 0.000001x³ - 0.03x² + 200x + 15,000
And the total profit function is written as,
=> P(x) = 0.000001x³ - 0.03x² + 200x + 15,000 - (-0.02x² + 150x)
=> P(x) = 0.000001x³ - 0.01x² + 50x + 15,000
If the is the profit for the company if 1,900 units are produced and sold each week, then the profit is calculated as,
=> P(1900) = 0.000001(1900)³ - 0.01(1900)² + 50(1900) + 15,000
=> P(1900) = 80759
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An aquarium tank can hold 6300 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 84 minutes. The second pipe can fill the tank in 42 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
It will take them 28 minutes to fill the tank.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The first pipe alone can fill the tank in 84 minutes.
So, the rate at which the first pipe fills the tank = 1/84
and, The second pipe can fill the tank in 42 minutes by itself.
So, the rate at which the second pipe fills the tank =1/42
If they work together, they would work simultaneously and their individual rates are additive.
= 1/84 + 1/42
let it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,
1/84 + 1/42 = 1/t
3/84 = 1/t
t = 84/3
t = 28 minutes
Hence, 28 minutes will take to fill.
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the records for all trains scheduled to depart from the concert hall train station last year showed that the average delay for these trains was minutes, of the trains had been delayed, and trains had been cancelled. keiko is a traffic engineer helping the concert hall station improve its performance. she audited a random group of records of trains scheduled to depart from the concert hall station last year. in her group the trains were late an average of minutes, of the trains had been delayed, and trains had been cancelled.
All of the trains scheduled to leave from the Concert Hall station are listed in Keiko's record for the population, and a random selection of 70 train records are listed in Keiko's record for the sample. As a result, statement II is true for the population, whereas statement I is true for the sample. The total population or all trains is regarded as a parameter, while the random group is regarded as a statistic.
In statistics, when we talk about population, we are talking about the entire population from which we want to draw a conclusion about. And when we talk about sample, we are talking about a particular or specific group from which we want to collect data from. So the size of sample will be less compared to the total size of the population.
a) In the given scenario, when we discuss population, we are referring to all of the trains that were scheduled to depart the Concert Hall station in the previous year. So statement II is correct.
And, when we discuss samples, we are referring to the random sample of 70 train records that Keiko audited. So statement I is correct.
b) When we talk about parameters, we are talking about the data of an entire population or all trains. And, when we are talking about statistics, we are talking about the sample data or random group.
The complete question is -
The records for all trains scheduled to depart from the Concert Hall train station last year showed that the average delay for these trains was 13.1 minutes, 18.6% of the trains had been delayed, and 12 trains had been canceled. Keiko is a traffic engineer helping the Concert Hall station improve its performance. She audited a random group of 70 records of trains scheduled to depart from the Concert Hall station last year. In her group the trains were late an average of 22.5 minutes, 30% of the trains had been delayed, and 4 trains had been canceled.
a. For Keiko's audit of train records, identify the population and the sample
Population:
I. The random group of 70 records of trains audited by Keiko.
II. The records of all the trains scheduled to depart from the Concert Hall station last year.
Sample:
I. The random group of 70 records of trains audited by Keiko.
II. The records of all the trains scheduled to depart from the Concert Hall station last year
b. Choose whether each number described below is a parameter or a statistic for Keiko's audit.
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Containers of gochujang, a Korean chili sauce, are sold at a market. The scatter plot shows the relationship between the cost of different containers and the amount of sauce in each container. A line of best fit is drawn through the data. Based on the line of best fit, what is the approximate cost per ounce of a container of gochujang at the market?
The cost per ounce of a container of gochujang at the market can be calculated using the equation of the line of best fit.
The line of best fit is given by the equation y = 0.14x + 1.3, where y is the cost of the container and x is the amount of sauce in the container (in ounces). To calculate the approximate cost per ounce of a container of gochujang, we can use this equation. We set y = 1, since we want the cost of one ounce of sauce. The equation of this line is y = 0.25x + 3.2, where x is the amount of sauce in the container and y is the cost of the container. To find the cost per ounce, we need to divide the y-intercept, 3.2, by the slope, 0.25. This gives us 12.8. Therefore, the approximate cost per ounce of a container of gochujang at the market is $12.8.
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maria wants to rent a kayak she has two options to choose from surf bargains charges 31.54 for 2 hours kayak central charges 43.96 for 3.5 hours which shop offers the lower hourly rate
Answer: Kayak Central
Step-by-step explanation:
Surf Bargains is 31.54 for 2 hours, if you want to find the hourly cost your going to do 31.54/2= 15.76 So Surf Bargains is 15.76 per hour.
Kayak Central you will do the same thing, 43.96/3.5= 12.56 per hour.
This means kayak central offers the lowest rate of $12.56 per hour.
To meet the requirements for graduation, Joe must perform 40 hours of community service. He has already completed 18 hours of this requirement. What percentage of his community service does Joe still need to complete?
Is it 18% or 40% or 45% or 55%
The percentage of community service Joe still need to complete is 45%,
the correct option is C
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25.
Given;
Total number of hours joe has to perform= 40
Number of hours joe has already performed= 18
Now;
Percentage;
=18*100/40
=18*5/2
=45
Therefore, the percentage will be 45%
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dominic is making meatballs. he uses 3/4 cup of breadcrumbs
In a case whereby Dominic is making and uses 3/4 cup of breadcrumbs for every 11/4 pounds of ground beef the number of cups of breadcrumbs he need when he uses 1 pound of ground beef is 3/5.
How can the cups of breadcrumbs he used be calculated?The concept that will be used here is fraction. fraction: A number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Since Dominic is using 3/4 cup of breadcrumbs for every 11/4 pounds of ground beef
The amount that will be needed for 1 pound of ground beef will now be:
11/4 pounds = 3/4 cup
we can convert to improper fraction as
5/4 * 3/4
12/ 20= 3/5
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complete question:
Dominic is making meatballs. He uses 3/4 cup of breadcrumbs for
every 11/4 pounds of ground beef. How many cups of breadcrumbs
does he need when he uses 1 pound of ground beef? *
Jackson gets paid $4,850 per month. He pays $1,552 a month for rent. What percent of his monthly pay goes to rent?
Answer:
32%
Step-by-step explanation:
1552 / 4850 = 0.32
A bank B is 8.6 km north and 12.5 km west of a school S. Calculate correct to 3 significant figures:
a the bearing of S from B [2] b the bearing of B from S.
The bearing of B from S = 63.8 + 180 = 243.8°
How to calculate the distance?To calculate the distance that the boys walked, you would need to know their speed and the duration of their walk.
Speed is typically measured in units such as miles per hour (mph) or kilometers per hour (kph). If you know the speed of the boys and the duration of their walk in hours, you can calculate the distance they walked using the formula: distance = speed x time.
To calculate the bearing of S from B, you can use the following steps:
Calculate the distance between S and B using the Pythagorean theorem. The distance is the hypotenuse of a right triangle, where one side is 8.6 km (the north-south distance) and the other side is 12.5 km (the east-west distance).
Calculate the angle formed by the distance between S and B and the north-south line. To do this, you can use the arctangent function (atan), which returns the angle in radians.
To convert radians to degrees, multiply by 180/π
The bearing of S from B = atan(12.5/8.6) x 180/π = 63.8°
To calculate the bearing of B from S, you just need to add 180 degrees to the bearing of S from B
The bearing of B from S = 63.8 + 180 = 243.8°
b. 243.8
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Complete question:
A bank B is 8.6 km north and 12.5 km west of a school S.
Calculate correct to 3 significant figures:
a the bearing of S from B
b the bearing of B from S.
Use the Spider Tool located on page 1 of this activity to recreate the eight-pointed logo. Start by asking the spider to move 50 units, rotate 135 degrees, and repeat the sequence until she returns to her starting point. Remember that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area. In the space below,
sketch the eight-pointed logo you created with the Spider Tool. (4 points)
PLEASE HELP
the star of the mentioned, figure is attached below.
What is a star?
A polygon, which is a form with many sides, is a type of star. In fact, five-pointed stars are categorised as decagons or polygons with ten sides, although the number of sides changes depending on the number of points on the star, such as six, ten, etc. An equilateral and equiangular polygon that self-intersects is referred to as a regular star shape or regular star polygon. It was made by connecting the vertices of a straightforward, regular, n-sided polygon to one another in a nonadjacent direction until the original vertices were once again reached.
How are stars with five points made?
All stars are formed by lines at particular angles. The basic pattern is as follows in the case of five-pointed stars, which are the most prevalent:
Use lines of the same length and rotate 135° each time.
Hence the star of the mentioned figure is attached below.
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4) 7(5v − 2)(7v + 3) = 0
There are 24 students in a class. The teacher divided the students into 4 teams. Then, she will divided the teams in half. How many students will be on each team.
10) The table below shows the year and the number of households in a building
that had high-speed broadband internet access.
Number of 11 16 23 33 42 47
Households
Year
2002 2003 2004 2005 2006 2007
For which interval of time was the average rate of change the smallest?
(1)2002-2004
(3) 2004-2006
(2) 2003-2005
(4) 2005-2007
The interval of time that has the average rate of change being the smallest is 1. 2002 - 2004.
How to calculate the average rate?From the information given, the table shows the year and the number of households in a building that had high-speed broadband internet access.
In this case, the average rate of change from 2002-2004 will be:
= 23 - 11
= 12
The average rate of change from 2004-2006 will be:
= 47 - 23
= 24
The average rate of change from 2003-2005 will be:
= 33 - 16
= 17
The smallest is from 2002 to 2004.
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Abby is cycling to her school from home .on her way , she meets her friend Betty, who says that the roads were blocked and the school closed .Abby turned to go back home ..Abby's distance from home is given by function : s= -100t2 +400t
How many minutes after leaving home did Abby meet Betty ?
t is time in minutes . and s i s distance .
The amount of time that it took for Abby to meet Betty is given as follows:
2 minutes.
How to obtain the amount of time that it took for Abby to meet Betty?The quadratic function giving Abby's distance from home is defined as follows:
s(t) = -100t² + 400t.
The coefficients of the function are given as follows:
a = -100, b = 400.
The vertex of the quadratic function is the turning point of the graph, that is, the moment that Abby meet Betty.
The t-coordinate of the vertex is given as follows:
t = -b/2a
t = -400/-200
t = 2 minutes.
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1. You are the manager of a small store that specializes in hats, sunglasses, and other accessories. You are considering a sales promotion of a new line of hats and sunglasses. You will offer the sunglasses only to those who purchase two or more hats, so you will sell at least twice as many hats as pairs of sunglasses. Moreover, your supplier tells you that, due to seasonal demand, your order of sunglasses cannot exceed 100 pairs. To ensure that the sale items fill out the large display you have set aside, you estimate that you should order at least 210 items in all. Assume that you will lose $3 on every hat and $2 on every pair of sunglasses sold. Given the constraints above, how many hats and pairs of sunglasses should you order to lose the least amount of money in the sales promotion? [Using Graphic method]
You should order 197.5 hats and 12.5 pairs of sunglasses to lose the least amount of money in the sales promotion.
How to solve the equation?This is a linear programming problem, which can be solved using a system of equations.
Let x be the number of hats sold and y be the number of pairs of sunglasses sold.
From the problem, we know the following constraints:
x >= 2y (since for every pair of sunglasses sold, two hats must be sold)
x + y >= 210 (to ensure that the items fill out the display)
y <= 100 (the maximum number of pairs of sunglasses that can be ordered)
We also know that the profit per hat sold is -$3 and the profit per pair of sunglasses sold is -$2.
So, the objective function is:
-3x - 2y (to minimize the loss)
Now we can use the equations and inequalities to find the optimal solution.
x >= 2y
x >= 4y
y <= 100
x + y >= 210
x >= 8y
y <= 100
x + y >= 210
Now we can use the equation to find the optimal solution
x = 8y
y <= 100
x + y >= 210
8y <=100
y <= 12.5
x + y >= 210
x >= 210 - y
Now we can find the value of x, y
y = 12.5
x = 210 - y
x = 210 - 12.5
x = 197.5
So the optimal solution is to order 197.5 hats and 12.5 pairs of sunglasses.
You should order 197.5 hats and 12.5 pairs of sunglasses to lose the least amount of money in the sales promotion.
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you could at least answer the question not say why should anyone care about a school bus
Answer:
Step-by-step explanation:
I think anyone needs to care about the school bus, it's just a bus, and maybe the people inside are like you, so relax, keep calm on a school bus
a car of mass m passes over a bump in a roadway that follows the arc of a circle of radius r as shown
The force the road exerts on the car as the car passes the highest point of the bump n=mg−mv²/R
Newton's second law of motion defines the behavior of objects for which all existing forces are not balanced.
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.
The free-body diagram given below shows the forces on the car in the vertical direction. Newton’s second law then gives
∑F y=may = mv²/R
mg−n=mv²/R
n=mg−mv²/R
When n=0, mg=mv²/R
Then, v= √gR
A more gently curved bump, with a larger radius, allows the car to have a higher speed without leaving the road. This speed is proportional to the square root of the radius.
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K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
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Please answer this question for me
The given two triangles are similar to each other by the postulate called SAS.
What is triangle ?
Triangle can be defined as in which it consists of three sides, three angles and sum of the three angles are 180 degrees always.
Given,
The triangles are RST and UVT
So
From the given figure we can say that,
RT = TU
RS = VU
As two sides are already equal and vertically opposite angles are always equal .
so we can say that By postulates SAS we can say that they are similar to each other.
Hence, The given two triangles are similar to each other by the postulate called SAS.
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What is the solution set for the compound inequality? 3x - 2 > - 11 and - 2x + 1 < - 3
Answer:
D. {x | x > 2}
Step-by-step explanation:
Separately solve inequalities:
[tex]\displaystyle{3x-2 > -11 \ \: \text{and} \ \: -2x+1 < -3}[/tex]
For left inequality, add 2 both sides. For right inequality, subtract 1 both sides:
[tex]\displaystyle{3x-2 +2 > -11+2 \ \: \text{and} \ \: -2x+1-1 < -3-1}\\\\\displaystyle{3x > -9 \ \: \text{and} \ \: -2x < -4}[/tex]
For left inequality, divide both sides by 3. For right inequality, divide both sides by -2 and also switch from < to > since the coefficient of x is negative:
[tex]\displaystyle{\dfrac{3x}{3} > \dfrac{-9}{3} \ \: \text{and} \ \: \dfrac{-2x}{-2} > \dfrac{-4}{-2}}\\\\\displaystyle{x > -3 \ \: \text{and} \ \: x > 2}[/tex]
Since both are in form of x > a and x > b, consider for highest value (since putting value below than 2 would make the other inequality false but if we put value higher than 2 then it'd make both inequalities true) which is x > 2.
anyone know this ? please
The artist needs 78,835.2 cm² of metal to make the sculpture.
How much metal does the artist need to make the sculpture?The artist needs to calculate the total volume of the sculpture in order to determine how much metal is required to make the sculpture.The volume of a rectangular prism can be calculated by multiplying the length, width, and height. In this case, the length is 21.8 cm, the width is 24.4 cm, and the height is 39.6 cm. Multiplying these three measurements gives a total volume of 25,942.56 cm3 (cubic centimeters).Now that the artist knows the total volume of the sculpture, they can calculate how much metal they need to make it.To do this, they need to know the density of the metal they want to use. Let’s assume they are using steel, which has a density of 7,860 kg/m3 (kilograms per cubic meter).To find out how much metal the artist needs, they need to convert the volume of the sculpture from cm3 to m3, by dividing it by 1,000,000.This gives a volume of 0.02594256 m3. Multiplying this by the density of steel gives a total mass of 206.48 kg of steel required to make the sculpture.Therefore, the artist needs 206.48 kg of steel to make their rectangular prism sculpture.To learn more about the total volume of the sculpture refer to:
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The Laffer curve shows the exclusively direct relationship that exists between tax rates and tax revenues. true or false.
True, The Laffer curve shows the exclusively direct relationship that exists between tax rates and tax revenues
The Laffer Curve was developed by Arthur Laffer. Arthur, a supply side economist used this curve to show the relationship that existed between tax rates and also the amount of tax revenue which the government takes or collects. This curve provides an illustration to his argument that sometimes when tax rates are cut there could be increase in total tax revenue.
True, The Laffer curve shows the exclusively direct relationship that exists between tax rates and tax revenues
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