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2 years ago

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A play director set up four rows of eight chairs in front of the stage as shown. A seat is randomly chosen. Which expression giv

es the probability that it is a front row seat or an aisle seat?

1 answer:

faust18 [17]2 years ago

3 0

The answer is a,,,,,,,

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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a

laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is $n = 271$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be

$\^ p = 0.5$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )$

=> $n = 271$

5 0

2 years ago

What is the sign of the product (8)(−23)( −21)(−29)?

kodGreya [7K]

The answer would be D

3 0

3 years ago

Read 2 more answers

5x-2y=11 and 3x+4y=4<br>Find the value of x and y in equation.

nadya68 [22]

5x-3y=11---(1)
3x+4y=4---(2)

(1)×3 and (2)×5

15x-9y=33-(3)
15x+20y=20-(4)

Subtract both

$\\ \sf\longmapsto -29y=13$

$\\ \sf\longmapsto y=\dfrac{-13}{29}$

Put in eq(1)

$\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11$

$\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}$

$\\ \sf\longmapsto x=\dfrac{278}{145}$

7 0

2 years ago

Read 2 more answers

You are choosing between two health clubs. Club A offers membership for a fee of $ 28$28 plus a monthly fee of $ 20.$20. Club B

eimsori [14]

Answer:

That is to say that at 3 months, the values of the club are equal.

Club A = 268 dollars in total

Club B = 295 dollars in total

Step-by-step explanation:

The first thing is to propose an equation for each club. Let m be the number of months.

Club A = 28 + 20 * m

Club B = 19 + 23 * m

Now, to know when it is the same, we must equal the value of Club A with Club B, it would look like this

28 + 20 * m = 19 + 23 * m

By rearranging the equation we have:

23 * m - 20 * m = 28-19

3 * m = 9

m = 3

That is to say that at 3 months, the values of the club are equal.

Now to know the total value, we will do it with an annual membership, which would be a total of 12 months, therefore it is to replace in the equation of each one:

Club A = 28 + 20 * 12 = 268 dollars in total

Club B = 19 + 23 * 12 = 295 dollars in total

3 0

3 years ago

The name of the angle

Verizon [17]

Answer:

acute

Step-by-step explanation:

8 0

2 years ago