Find the length of the midsegment of the trapezoid.

Answer: hi how are you i

Answer:

30 inches wide by 40 inches long

Step-by-step explanation:

27 inches rounds up to 30 inches and 42 inches rounds down to 40 inches

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

Answer:

8.66

Step-by-step explanation:

If it helps, volume is LENGTH x WIDTH x HEIGHT, and for a triangular prism, each side is the same. :)

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam

Answer:

3/29

Step-by-step explanation:

area of total rectangle is 12x8 or 96 sq cm

area of shaded square is 9

96 - 9 = 87 sq cm, which is area of unshaded region

9 out of 87 is the probability of selecting a point in the shaded region, which simplifies to 3/29

Answer:

lol i see r o b l o x

Step-by-step explanation:

Rectangle = bxh

thats is 96

the we know that the square in the middle is 3x3x3x3 or 81

then subtract the two which is 15

Answer:

[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

Answer:

-r + 15

Step-by-step explanation:

3r + 15 - 4r =

-r + 15

Hope that helps!

Answer:

10

Step-by-step explanation:

3^3-5^2+8 = 10

Answer:

6

Step-by-step explanation:

Question: What is g³ - h² + 8, when g= 3, h = 5

Substitute the given values

3³ - 5² + 8

Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5

27 - 25 + 8

Simplify

-2 + 8 =

6

I hope this helps! Feel free to ask any questions! :)

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:

nCr = n! / r!(n - r)!

where n is the total number of customers (52) and r is the number of customers chosen (3).

Substituting the values, we get:

52C3 = 52! / 3!(52 - 3)!

52C3 = 52! / 3!49!

52C3 = (52 × 51 × 50) / (3 × 2 × 1)

52C3 = 22,100

Therefore,

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

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Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Step-by-step explanation:

hi

Answer:

9,18,27,36,45,54,63,72,81,90

Step-by-step explanation:

Answer:

TRUE!!!!!!!!!

Step-by-step explanation:

Answer:

The answer is 22

Step-by-step explanation:

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F is 22 days.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We know that the high temperature was greater than 88°F on 75% of the days, which means it was less than or equal to 88°F on the remaining 25% of the days.

So we can set up an equation to solve for the number of days the high temperature was less than or equal to 88°F:

So,

25% x total number of days = number of days with high temperature less than or equal to 88°F

Or in other words:

0.25 x total number of days = number of days with high temperature less than or equal to 88°F

We are given that the number of days with high temperatures greater than 88°F is 66.

Let's use x to represent the total number of days:

0.25x = number of days with high temperature less than or equal to 88°F

0.25x = x - 66

(since the number of days with high temperatures less than or equal to 88°F is the remainder)

0.25x - x = -66

-0.75x = -66

x = 88

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F.

= 0.25 x 88

= 22 days.

Thus,

The total number of days recorded by Horatio was 88,

The number of days with high temperatures less than or equal to 88°F is 22 days.

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Answer:

Josh won all the prizes for the contest

Step-by-step explanation:

Answer: 10%

Step-by-step explanation:

1/10 is equal to .10 or 10%

Answer:

10%

Step-by-step explanation:

Divide 1 by 10 and you get 0.10 :)

Answer:

Lyndsay charges a better deal

Step-by-step explanation:

With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.

Answer:

Margaret

Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.

60 divided by 2: 20

100 divided b 4: 25.

              {~} Izzy ∩﹏∩ {~}

Answer:

30

Step-by-step explanation:

25+35= 60

60/2=30

Answer: 30

Step-by-step explanation:

The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.

The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]

Answer:

v>15

Step-by-step explanation:

add 9 to 66

5v>75

v>15

Answer: v>15

Step-by-step explanation:

The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.

NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)

Answer:3y=−2x+12

y=(−2x+12)/3

y=-2x/3+4

m=-2/3

perpendicular -1/m=3/2

y=mx+c

y=3/2x+12

2y=3x+12

Step-by-step explanation:

Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²]  = 3

The required radius of the circle is

center is (2,3)
point on the circle is (5,3).

Radius of the circle is the distance between the center to the circumference.

Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]

Radius = [tex]\sqrt{4}[/tex]
Radius = 2

Thus, the required radius is 2 .

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Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

Answer:

The second one

Step-by-step explanation:

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]