Answer:
The letter [tex]r[/tex] in the given formula represents the rate of interest.
Explanation:
Where I is the amount of interest, P is the principal (amount of money borrowed), r is the interest rate (per year), and t is the time (expressed in years).
Hope this helps!
6. a survey shows that 360 out of 500 females and 600 out of 800 males enjoy a game show. based on this evidence, would you argue that the ratio of female and male viewers who enjoy the game show differs? use a 5% level of significance
It is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
Explain the meaning of the term ratio of the number?When two or maybe more numbers are compared, the ratio shows how big one is in relation to the other. The dividend or quantity being divided is referred to as the antecedent, and also the divisor or quantity that also is dividing is referred to as the consequent. A ratio analyzes numbers by division.According to the survey-
360 out of 500 females enjoy the game.
Thus,
Ratio female = number of females who enjoy/ total number of females.
Ratio female = 360/500
Ratio female = 0.72
Now, 600 out of 800 males enjoy a game show.
Ratio male = number of males who enjoy/ total number of males.
Ratio male = 600/800
Ratio male = 0.75
Thus, Ratio female ≠ Ratio male
Therefore, it is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
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If you pay $25 per month for your cell phone and an additional $5 for each picture
you send, an equation to represent the cost of your phone would be
y = 5x + 25
y = 25x + 5
y = 3x + 1
y = x + 30
If you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that you pay $25 per month for your cell phone
An additional $5 for each picture you send
We have to find the equation which represent the cost of your phone
Let x be the number of months.
The equation should be in the form of y=mx+b
in the given equation m is the slope and b is the y intercept or the additional fee.
y=25x+5 is the required equation
Hence, if you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
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PLS HELPP Which algebraic expression is equivalent to 3(2x – 7)
Answer:
6x-21
Step-by-step explanation:
6x*3 - 7*3
a bowling team has 6 members. how many ways can the captain of the team arrange the bowlers for a game
The number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
Explain the term arrangement?Generally speaking, an arrangement among objects is just a collection of them. A combination (ordering is disregarded) or permutation is used to determine the number possible "arrangements" of the components (order is significant). An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets were arranged in a linear or sequential order.For the stated question-
Total members in bowling team = 6.
Number of ways to arrange them = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720
Thus, the number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
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Apply the distributive property to factor out the greatest common factor. 30+42=30+42=30, plus, 42, equals.
The greatest common factor of 30+42 according to the distributive property is 6×12.
What is distributive property?The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.
For instance, addition is said to be more evenly distributed than multiplication in elementary mathematics.
So, here we wish to calculate the largest common factor between the numbers 30 and 42, which equals the total of 30 and 42.
Going one for one, the biggest divisor of 30 is 15, and since 42 cannot be divided by 15, this means that there isn't a frequent divisor of 30 and 42.
Since 10 is not a divisor of 42 and is the second largest divisor of 30 (10*3 = 30), it is not a common divisor of both 30 and 42.
6, which is also a divisor of 42 (6*7 = 42), is the third-largest divisor of 30 (6*5 = 30).
Then both 30 and 42 have 6 in common the most.
We may factor the total now by:
30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12
Therefore, the greatest common factor of 30+42 according to the distributive property is 6×12.
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Correct question:
Apply the distributive property to factor out the greatest common factor. 30+42
a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. what is the standard error of the mean?
Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
Given that,
One day, a teacher of statistics randomly selected 10 pupils' names from a hat and instructed them to complete as many pushups as they could before class began. The 10 students who were chosen at random performed an average of 15 pushups, with a standard deviation of 9. Assume that the population's distribution of the maximum number of pushups is roughly normal.
We have to find what is the standard error of the mean.
We know that,
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15 is x=15 .
The sample standard deviation is of 9 is s=9.
The sample size is of 10 is n=10.
First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622
The margin of error is of:
M=ts/n
Then:
M=2.2622(9/√10)
M=6
The confidence interval is:
x±M
x-M=15-6=9
x+M=15+6=21
Therefore, Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
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The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.
we know that the Sum of the measure of all the angles in the triangle is 180 degrees.
Let, ∠ A = smallest angle
∠ B = A+6
∠ C = 4 (∠A)
So, we can write that,
∠ A + ∠ B + ∠ C = 180°
∠A + (∠A+6) + 4∠A = 180°
6 + ∠A + ∠ A + 4∠A = 180°
6 + 6 ∠A = 180°
6∠A = 180° - 6
6 ∠A = 174
∠A = 174/6
∠A = 29°
Hence, the smallest angle A is 29°
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Complete the car class by creating an attribute purchase_price (type int) and the method print_info() that outputs the car's information. Ex: if the input is: 2011 18000 2018 where 2011 is the car's model year, 18000 is the purchase price, and 2018 is the current year, then print_info() outputs:.
When an object is to be generated, classes are utilized as templates, whereas methods are functions that are called or invoked.
What is class?A class is a template specification of the method(s) and variable(s) of a certain sort of object in object-oriented programming. As a result, an object is a particular instance of a class; instead of variables, it holds real values. One of the fundamental concepts of object-oriented programming is the class.
How do you define a class?A class outlines the information included in the objects that are a part of it, including the actions and a collection of data fields known as instance variables (called methods). An object is an element (or instance) of a class, and objects exhibit the behaviors of the classes in which they belong.
We use the self keyword to declare the attribute purchase price (type int), initializing the value to 0.
Therefore, the purchase price attribute declaration is as follows:
self.purchase price equals zero
We just need to invoke the model year and purchase price variables to define the print info() function.
The print info() function is therefore defined as follows:
def print_info(self):
print("Car's information:")
print(" Model year:", self.model_year)
print("Purchase price:", self.purchase_price)
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Divide.
8 ÷ 1/9
Enter your answer in the box.
Answer:
0.8888888..... repeating
Step-by-step explanation:
Answer:
72/1
Step-by-step explanation:
multiply 8 and 9/1
point is 9 units from the center of a circle of radius 15. how many different chords of the circle contain and have integer lengths?
Total number of different chords of the circle passing through point P with integer lengths is equal to 7.
As given in the question,
Radius of the circle = 15units
Longest chord of the circle 'diameter' = 2 × 15
= 30units
Point 'P' is 9 units away from the circle.
Consider shortest distance( perpendicular) of point P for shortest chord.
Half length of the chord , shortest distance and radius form right triangle.
(1/2) length of the chord = √15² - 9²
= √225 - 81
= 12units
Length of the chord = 2(12)
= 24 units
Different Chords with integer length = 24, 25, 26, 27, 28 , 29 , 30
Total number of different chords = 7
total number of chords = 6 original + 6 mirror image + 1 longest chord
= 13
Therefore, total chords with different integer length passing through the point P of the circle is 7.
The complete question is :
A point P is at the 9 unit distance from the center of a circle of radius 15 unit. How many total number of different chord of the circle passing through the point P and have the integer lengths?
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10 points . Which graph shows Y=⌊x⌋+3? ... Picture provided
The graph that shows the function Y=⌊x⌋+3 is given by the image shown at the end of the answer.
How to obtain the graph of the function?The function in this problem is defined as follows:
Y=⌊x⌋+3.
The term ⌊x⌋ is the floor function of x, giving the greatest integer that assumes a value less than x.
The intervals to the function are given as follows:
Open on the left interval.Closed on the right interval.Then the translation is given as follows:
Y = y + 3.
Meaning that the function was shifted three units up.
Thus the correct graph is the bottom right graph, given by the image shown at the end of the answer, because:
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. A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice.
Answer:
The total profit for the grain merchant selling 600 quintals of rice is Rs 12800. To calculate this, we first need to calculate the profit on one quintal. The profit percentage is 7%, so if a quintal costs Rs 250 the profit is 7% of 250 which is Rs 17.5. Now we multiply this with the number of quintals sold, which is 600, to get Rs 10500 as the profit. We then add in the overhead charges of Rs 1000 to get a total profit of Rs 12800. The selling price of 600 quintals of rice is therefore Rs 12800 plus Rs 250 times 600, which equals Rs 180000.
What is an estimate of the coordinates of the solution of the system to the nearest tenth?
Answer:
Look at the solution to your other similar question and see if you can figure this one out now.
Step-by-step explanation:
three women are selected from the audience of a style show to receive a purse, a pair of gloves, and a scarf. if 23 women are present, in how many different ways may the gifts be given?
The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.
Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :
First gift : 23 possibilities
Second gift: 22 possibilities
Third gift: 21 possibilities
So, the gifts may be given in
23 * 22* 21
= 10626
We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.
Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.
The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.
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A salesperson's commission rate is 6%. What is the commission from the sale of 44000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
Commission rate = 6%
Sales = $43,000
Commission = 6% of 43,000
= 0.06 × 43,000
= $2,580
Suppose sales would double. What would be true about the commission?
If sales doubles, that is,
Sales = $86,000
Then, commission also doubles
Commission = $5,160
Check:
Sales = $86,000
Commission rate = 6%
Commission = 6% of $86,000
= 0.06 × 86,000
= $5,160
ashley wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool. how many balls of wool should she buy?
By using the concept of subtraction and multiplication, it can be calculated that
Ashley should buy 5 balls
What is subtraction and division?
To find how big or small one number is from the other, then the operation used is called subtraction
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem on subtraction and division
Total length of Wool Ashley required = 900 [tex]\times[/tex] 3 = 2700 ft
Length of wool Ashley has = 200 ft
Length of wool Ashley still needed = 2700 - 200 = 2500 ft
Length of wool in each ball = 500
So Number of balls required = 2500 [tex]\div[/tex] 5 = 5
Ashley should buy 5 balls
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Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?
Answer: $36
Step-by-step explanation: 6 times 2 is 12
12 times 3 is 36
a) ¿Cuántas veces contiene la unidad base a la correspondiente del prefijo deci?
Answer:
Deci (símbolo d) es un prefijo del Sistema Internacional que indica un factor de 10−1 (1/10) o una décima parte.
The number of times that the base unit contains the corresponding prefix deci is 10.
What are Base Units?Base units are the units which are used in measurements as the basic ones from which the other units of measurements has been derived.
Some of the common base units are second, meter, kilogram, etc.
We have to find the number of times the base unit contains the corresponding unit with prefix deci.
This means that how many times 1 meter contains decimeter.
This goes for each base units.
We know that,
1 meter = 10 decimeters
Any of the base units is 10 times the corresponding unit with prefix deci.
Hence the number of times that a base unit contains the corresponding unit with prefix deci is 10.
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The question in English is,
How many times does the base unit contain the corresponding prefix deci?
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2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars?
Answer:
I think 6.2 years
Step-by-step explanation:
I THINK OK
3|2z+9|+12=10. Please help quickly
We will see that the given equation is false for all values of z, thus, the equation has no solutions.
How to solve the equation?Here we have the absolute value equation:
3*|2z + 9| + 12 = 10
To solve this we first need to isolate the absolute value part, so let's do that:
3*|2z + 9| + 12 = 10
3*|2z + 9| = 10 - 12 = -2
|2z + 9| = -2/3
Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.
Then our equation has no solutions.
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2 + 4(2x-1) = 6.25x-26
with solution please
Answer:
x = -96/7 or -13.714285
Step-by-step explanation:
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find the quotient of 2 divided by 6,138
Answer= The number 6138 is called the numerator or dividend, and the number 2 is called the denominator or divisor.
The quotient of 6138 and 2, the ratio of 6138 and 2, as well as the fraction of 6138 and 2 all mean (almost) the same:
6138 divided by 2, often written as 6138/2.
Read on to find the result of 6138 divided by 2 in decimal notation, along with its properties.
Tell whether 20/8 and 28/9 form a proportion.
The two given fractions [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex] do not form a proportion.
How to find fractions that are in the same proportion?
Proportion shows that two fractions are equivalent or equal.
The given fractions are [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex]
Proportions are expressed in the form a:b::c:d
Where a and b represent antecedent and consequent respectively
This implies that a:b::c:d ⇒ [tex]\frac{20}{8}[/tex] : [tex]\frac{28}{9}[/tex]
The values [tex]\frac{20}{8}[/tex] = [tex]\frac{28}{9}[/tex]
Since (20x9) is not equal to (8x28)
Multiplying the two sides to get
180=224. This is a wrong representation.
Therefore the two fractions do not show a proportion
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Which image shows a rotation?
Answer:
I believe the answer is A because one is a reflection and another is a translation.
when solving the equation, which is the best first step to begin to simplify the equation? negative 2 (x 3)
Answer:
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half
a hand of 13 cards is dealt at random from a bridge deck of 52 cards. find the probability that the hand contains 4 queens. (round your answer to four decimal places.)
The probability of the hand containing 4 queens when picked at random is 0.0026.
We can solve the given question easily using probability, permutations, and combinations.
We can pick any card other than the queen in the following number of ways = ⁴⁸C₉ (i)
The queen card can be picked in the following number of ways
= ⁴C₄= 1 (ii)
The total number of ways to choose 13 cards is = ⁵²C₁₃ (iii)
Using the values of (i), (ii), and (iii), we get -
Probability = (⁴⁸C₉ * 1) / ⁵²C₁₃
= [tex]\frac{48!/9!(48-9)! *1 }{52!/13!(52-13)! }[/tex]
= 1677106640 * 1 / 635013559600
= 0.00264
If this is rounded to four decimal places, we get = 0.0026.
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5(2t -3) - 7.5t = 0.5 (12-t) Show your work
Answer:7
Step-by-step explanation:
Can write it as
10t -15 - 7.5t = 6 - 0.5t
2.5t -15 = 6 - 0.5
3t - 15= 6
3t = 21
t= 7
a femur 18 inches long is placed in traction with an elevation of 6.2 inches. what is the angle of elevation of the femur?
The angle of elevation of the femur is 71°.
The angle of elevation:
The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.
Here we have to find the angle of elevation of the femur.
Data given:
length of femur = 18 inches
elevated = 6.2 inches
Formula to calculate the angle of elevation:
Tangent of the angle of elevation = height of the object/distance from the object
tan Ф = 18/ 6.2
tan Ф = 2.903
Ф = [tex]tan^{-1}[/tex]( 2.903)
= 71°
Therefore the angle of elevation is 71°.
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consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player? a) 0.0121 b) 0.0124 c) 0.0120 d) 0.0123 e) 0.0126 f) none of the above.
The probability that exactly 17 households own a DVD player is b) 0.0124
How to calculate the probability?P = probability of own DVD player = 53% = 0.53
n = sample of households = 22
x = number of households own a DVD player = 17
Since it is binomial experiment, we use binomial probability formula to calculate the probability.
P(X) = [tex]^{n}C_{x}\times P^{x}\times (1-P)^{n-x}[/tex]
With combination formula as below,
[tex]^nC_x[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
P(X) = [tex]^{22}C_{17}\times 0.53^{17}\times (1-0.53)^{22-17}[/tex]
= [tex]\frac{22!}{17!(22-17)!}\times 0.53^{17}\times 0.47^{5}[/tex]
= 26334 × 0.0000205 × 0.0229345
= 0.0123811
= 0.0124
Thus, the probability is 0.0124 for 17 households own DVD player.
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What is the result when the number 48 is decreased by 75%?
Answer: 12
Step-by-step explanation: First turn 75% into its decimal form 0.75
Then multiply this by 48.
0.75 x 48 = 36
36 is 75% of 48
Then subtract 36 from 48. This will get you 12.