We know that the mode of the integers is 9, which means that 9 occurs more frequently than any other number in the set of integers.
How to explain the mediWe also know that the median of the integers is 8, which means that when the integers are arranged in order from smallest to largest, the middle number is 8.
Finally, we know that the range of the integers is 4, which means that the difference between the largest and smallest integers in the set is 4.
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URGENT!! ILL GIVE BRAINLIEST! ALONG WITH 100 POINTS!!!!!!!!
Match the given information with the equation for the line
-5x + 3y = -12
y = 3/2 x - 8
2y-x = -4
Y= -3/4x-2
Answer:
1. y = 3/2 x - 8
2. 2y-x = -4
3. y = -3/4x-2
4. -5x + 3y = -12
En una correctera tiene una longitud 65 millas
¿cuántos metros mide
esa carretera?
If the length of the road in miles is 65, then in meters is approximately 104607.1 meters.
To convert miles to meters, we need to use a conversion factor. There are 1609.34 meters in one mile. So, to convert 65 miles to meters, we can multiply 65 by 1609.34.
65 miles * 1609.34 meters/mile = 104607.1 meters
The units when making conversions. Miles and meters are units of length, but they are not the same. To convert from one unit to another, we need to use a conversion factor that relates the two units. In this case, we used the conversion factor of 1609.34 meters per mile to convert from miles to meters.
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The 6-inch segment of tape stores 4608 bits of data and it is a portion of a tape reel that is 1200 feet long. How much data can be stored on the entire reel?
The data can be stored on the entire reel is 66,355,200 bits.
What is Unit Conversion?Conversion could appear difficult, but this tip will make it simple for you to convert any unit. The fundamental rule is to multiply when converting from a larger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit.
We have,
The 6-inch segment of tape stores 4608 bits of data.
Now, length of of reel = 1200 feet
= 1200 x 12
= 14,400 inch
So, the data that can be stored in reel
= 14,400 x 4608
= 66,355,200 bits
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I need help with this please
The graph to the right is the uniform probability density function for a friend who is x minutes late:
(a) Find the probability that the friend is between 10 and 30 minutes late.
(b) It is 10 A.M. and there is a 20% probability the friend will arrive within how many minutes?
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that more than 8 and less than 12 customers pay in cash?
The probability that more than 8 and less than 12 customers pay in cash is 0.376 or 37.6%.
What is the probability?The probability that more than 8 and less than 12 customers pay in cash is calculated using the binomial probability formula:
P(x) = (n choose x) * p^x * (1-p)^(n-x)where:
n is the number of trials = 15
x = customers who pay in cash
p = paying in cash, which is 0.4 according to the problem
The probability that more than 8 and less than 12 customers pay in cash. is the sum of the probabilities of 9, 10, and 11 customers paying in cash.
Using the binomial probability formula:
P(x) = (15Cx) * 0.4 * (1 - 0.4)¹⁵⁻ˣP(9) = 15C₉ * 0.4⁹ * 0.6⁶
P(9) = 0.212
P(10) = 15C₁₀ * 0.4¹⁰ * 0.6⁵
P(10) = 0.121
P(11) = 15C₁₁* 0.4¹¹ * 0.6⁴
P(11)= 0.043
Hence;
P(9 or 10 or 11) = 0.212 + 0.121 + 0.043
P(9 or 10 or 11) = 0.376
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[tex]4√3[/tex]what is equivalent to 4 sqrt 3
The equivalent expression to 4√3 is √48 or 6.928.
What is the equivalent expression?
An equivalent expression is an expression that has equal value to the original given expression.
From the given expression, we can determine its equivalent expression as follows;
The given expression = 4√3
We can square 4 and multiply it by 3 and enclose all with the square root.
4√3 = √(4² x 3 )
= √ ( 16 x 3 )
= √ ( 48 )
= 6.928
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If A is the set of numbers that are multiples of 8, B is the set of multiples of 4, and C is the set of multiples of 2, which of the following is the set of integers that will be in A but not B and C?
The set of integers that will be in A but not B and C will be 24, 32, 40,
How to explain the integerThe multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.
It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}
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To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
The person would have to invest approximately $461,044.94 now in an annuity with an annual interest rate of 3.1% to receive monthly payments of $1500 for 20 years.
To calculate the present value of an annuity, we can use the following formula:
[tex]PV = PMT \times \dfrac{(1 - (\dfrac{1}{(1 + r)^n})) }{ r}[/tex]
Where:
PV = present value of the annuity
PMT = monthly payment
r = annual interest rate
n = total number of payments
In this case, the PMT is $1500, the annual interest rate is 3.1%, and the number of payments is 20 years x 12 months per year = 240 payments.
First, we need to convert the annual interest rate to a monthly interest rate by dividing it by 12:
r = 3.1% / 12 = 0.2583%
Next, we can plug in the values and solve for PV:
PV = $1500 x [(1 - (1 / (1 + 0.2583%)²⁴⁰)) / 0.2583%]
PV = $1500 x [(1 - (1 / 1.002152²⁴⁰)) / 0.002583]
PV = $1500 x [(1 - (1 / 4.818681)) / 0.002583]
PV = $1500 x (0.7915 / 0.002583)
PV = $461,044.94
Therefore, the person would have to invest approximately $461,044.94 now in an annuity with an annual interest rate of 3.1% to receive monthly payments of $1500 for 20 years.
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i need answer for this +explanation i don't get it
Answer: 95 ft²
Step-by-step explanation:
To solve for the surface area, we will find the area of all the sides and then add them together. We see that we have a square as the base and 4 congruent triangles.
For the square:
A = LW
A = (5 ft)(5 ft)
A = 25 ft²
For one triangle:
A = [tex]\frac{BH}{2}[/tex]
A = [tex]\frac{(5\;ft)(7\;ft)}{2}[/tex]
A = 17.5 ft²
For all four triangles:
A = 17.5 ft² * 4 = 70 ft²
Total surface area by adding the triangles and square together:
70 ft² + 25 ft² = 95 ft²
M<2
Answers please the ask is in the picture
A spinner was spun 900 times using Spin Spinner on the TI-84
calculator, with 1 representing blue, 2 representing purple, 3
representing green, and 4 representing red as shown
what was the experimental
probability of landing on green?
a 23.80%
b 26.80%
C 22.80%
d 24.80%
The experimental probability of the spinner landing on green is calculated as follows:
p = Number of times that the number 3 was generated/900 x 100%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
A green result is obtained when the number on the calculator is of 3, hence the experimental probability of the spinner landing on green is calculated as follows:
p = Number of times that the number 3 was generated/900 x 100%.
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consider the following two claims about whether the government should do more to help the poor and middle class
. A adjusted for inflation, income has risen significantly over recent decades with average households income in the us rising nearly 30% over the time period.
claim 2. a adjusted for inflation, income has been relatively stagnant for more than three decades, with average household income in the us rising less that 10%over that time period
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
Both claims are true, depending on the time period being considered. If we look at the time period over the last few decades, then Claim 1 is accurate, as average household income has risen nearly 30% over the time period, adjusted for inflation.
However, if we look at the past three decades, then Claim 2 is more accurate, as average household income has only risen less than 10%, adjusted for inflation.
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
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The base of a rectangular prism is 20 cm 2 . If the height of the prism is 5 cm, what is its volume
The volume of a rectangular prism would be 100 cubic cm.
Since we know that rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
We are given that base of a rectangular prism is 20 cm sq. . If the height of the prism is 5 cm, then;
Base area = 20 cm sq.
Height = 5 cm
Volume of a rectangular prism=Length X Width X Height
Volume of a rectangular prism= Base area X Height
Volume of a rectangular prism= 20 x 5
= 100
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Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression 1.5×6+8.3
The numerical value of the algebraic expression 1.5 × 6 + 8.3 is 17.3; The factors are 1.5 and 6 & the terms: 1.5 * 6 and 8.3
Identifying and solving the parts of the expressionFrom the question, we have the following parameters that can be used in our computation:
1.5 × 6 + 8.3
The above expression is an algebraic expression and as such the parts of the expressions are
Factors: 1.5 and 6Terms: 1.5 * 6 and 8.3When the expression is evaluated, we have
1.5 × 6 + 8.3 = 17.3
This means that the result of evaluating the expression 1.5 × 6 + 8.3 is 17.3
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HELP PLEASEE
Find the value of x to the nearest tenth of a unit.
Check the picture below.
[tex]\tan(18^o )=\cfrac{\stackrel{opposite}{x}}{\underset{adjacent}{18}} \implies 18\tan(18^o)=x \implies 5.8\approx x[/tex]
Make sure your calculator is in Degree mode.
Based on lofftings research the probability a tp ranked baseball player is left handed is 1 in 3How many lefties would you expect in a group of 15 top ranked baseball players.
The expected number of lefties top ranked baseball players in a sample of 15 top ranked baseball players, obtained from the 1 to 3 ratio of lefties to righties top ranked baseball players is 5 top ranked baseball players
What is a ratio?A ratio is a quantitative comparison between two values that indicates the number of times one quantity is contained in or can contain the other value or quantity.
The ratio or proportion of left handed top ranked baseball players = 1 in 3
Therefore, the ratio of lefties to righties top ranked baseball players = 1 : 3
The number of top ranked baseball players in the sample = 15
The number of the top ranked baseball players in the sample that are left handed is therefore;
Number of left handed baseball players in the sample = (1/3) × 15 = 5
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what is the radius of this shape?
Answer 7/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
The radius is the length from the center dot to the circle.
They gave you the radius
r=6 1/4 in
Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.
To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:
1. Reflect A over the y-axis to get A': (-2, 2)
2. Reflect A' over the x-axis to get A'': (-2, -2)
Therefore, the new point A'' is (-2, -2).
A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?
Answer:
Length = 120 yards, width = 30 yards.
Step-by-step explanation:
Lets use [tex]l[/tex] for length and [tex]w[/tex] for width.
The perimeter of a rectangular field is [tex]2l + 2w[/tex]. We can construct the following equations:
[tex]4w = l[/tex].
[tex]2l + 2w = 300.[/tex]
If we plug [tex]4w[/tex] in for [tex]l[/tex] into the second equation, we get:
[tex]2w + 2(4w) = 300.[/tex]
[tex]2w+8w = 300.[/tex]
[tex]10w = 300.[/tex]
[tex]w= 30.[/tex]
Plug 30 in for [tex]w[/tex] into the first equation.
[tex]l = 4*30 = 120.[/tex]
Length = 120 yards, width = 30 yards.
folue the √(x-3) ³ - 64 equation √(ac-3)solve the equation
Solving the equation √(x - 3)³ - 64 = 0 for the variable x gives x = 19
Solving the equation for xFrom the question, we have the following parameters that can be used in our computation:
√(x - 3)³ - 64
Express as an equation
So, we have
√(x - 3)³ - 64 = 0
Add 64 to both sides of the equation
√(x - 3)³ = 64
Take the cube roots of both sides
So, we have
√(x - 3) = 4
Square both sides of the equation
This gives
x - 3 = 16
Add 3 to the equation
x = 19
Hence, the solution is x = 19
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Fill in the missing values to make the equations true.
The missing terms in the logarithmic equation are solved
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
log₄ 11 + log₄ 5 = log₄ ( a )
Now , the value of a is
From the logarithmic properties , we get
log A + log B = log AB
So , a = 11 + 5 = 16
b)
log₅ 3 - log₅ ( a ) = log₅( 3/5 )
From the logarithmic properties , we get
log A − log B = log A/B
So , a = 5
c)
log₇ 8 = 3 log₇ ( a )
From the logarithmic properties , we get
log Aⁿ = n log A
8 = 2³
So , a = 3
Hence , the logarithmic equation is solved
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In each of the following figure, O is the center of the circle.
Calculate the value of x.
0
136⁰
In the given diagram, using one of the circle theorems, the value of x is 68°
Circle Geometry: Calculating the value of xFrom the question, we are to calculate the value of x in the given diagram.
The diagram shows a circle with O. The angle subtended at the center is 136°. We are to determine the value of the unknown angle x.
From one of circle theorems, we have that
The angle subtended by arc at the center of a circle is twice the angle at the circumference.
Therefore,
We can write that
136° = 2x
Solve for x in the above equation
136° = 2x
Divide both sides of the equation by 2
136° / 2 = 2x / 2
68° = x
Hence,
x = 68°
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Need help looking for the area.
The area under the curve (since the function of the parabolic expression is y = x - x²) is 1/6 square units.
What is a parabolic expression?A parabolic function has an expression represented as f(x) = ax² + bx + c, which allows solving for x using either the factorization method or applying the quadratic formula. By zeroing out this expression, it becomes possible to determine its roots as with any quadratic equation.
In the case of the above function:
To find the area under the curve, above the x-axis, we need to integrate the parabolic expression from 0-1
that is:
∫[0,1](x-x²)dx
This is evaluated using the power rule
∫[0,1](x-x²)dx = [1/2x² - 1/3x³) fro x= 0 to x = 1
inserting the limits of the integration, we have:
[1/2 (1) ² - 1/3 ( 1) ³] - [1/2 (0)² - 1/3 (0) ³]
Simplified, and we have :
Area = 1/2 - 1/3
Thus, Area under the curve = 1/6
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K
In 2019, 2 out of every 5 members of an army reserve were female. There were 188,667 army reserve personnel that year. Estimate the number of
female members of the army reserve in 2019.
The approximate number of female members of the army reserve in 2019 was.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
ew an example Get more help.
Clear all
Skill builder
Check answer
The approximate number of female members of the army reserve in 2019 was 75,467.
What is the number of female members in 2019?If 2 out of every 5 members of the army reserve were female, then the proportion of female army reserve personnel can be represented as:
= 2/5
= 0.4.
Now, we can multiply the proportion to total number of army reserve to get the number of female members which is:
= 0.4 x 188,667
= 75,466.80
= 75,467
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I am faster than the speed of
sound. I weigh nothing, but I
can fill a room. What am I?
Correct answer gets brainliest!! So please help!!
Answer:
b
Step-by-step explanation:just do it heh
Answer:
The Correct answer is D
the lower whiskers from 10 to 28
3. A 35 kg child on a 4.2 kg sled is sliding at 5.0 m/s, with negligible friction, along an icy, horizontal surface. As the sled passes underneath a tree, a 6.2 kg mass of snow falls vertically and lands on the moving sled. Calculate the final velocity of the sled. Calculate the final velocity of the sled. Show your work.
Answer:
The final velocity of the sled is 4.317 m/s.
Before the snow,
Total mass of sled = 35 + 4.2 = 39.2 kg
Initial velocity of the sled = 5 m/s
Momentum = Mass × Velocity
= 39.2 × 5
= 196 kg m/s
After the snow,
Total mass = 35 + 4.2 + 6.2 = 45.4 kg
Let v be the final velocity.
By the law of conservation of momentum,
Momentum before snow = momentum after snow
196 = 45.4 v
v = 4.317 m/s
Hence the final velocity is 4.317 m/s.
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Calculator What is the surface area of this rectangular prism? O 110 in² O 180 in² O200 in² O220 in² 10 in. 5 in.
The surface area of the rectangular prism is 220 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
5 in by 10 in by 4 in
The surface area of the rectangular prism is calculated as
Area = 2 * (5 * 10 + 5 * 4 + 10 * 4)
Evaluate
Area = 220
Hence, teh area is 220 square inches
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