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3 years ago

A relation is a function if _____.

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

... exactly one output for each input

This is an important concept; be certain that you understand it.

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Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the

ratelena [41]

Answer:

90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

Step-by-step explanation:

We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"

Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.

Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion who answered death penalty "fair" = 58%

n = sample of adults = 510

p = population percentage

Here for constructing 90% confidence interval we have used One-sample z test for proportions.

So, 90% confidence interval for the population percentage, p is ;

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\hat p-p$ < $1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

P( $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

90% confidence interval for p = [ $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.58-1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ , $0.58+1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ ]

= [0.544 , 0.616]

Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

6 0

3 years ago

sarà needs three forth cup of dish soap to make homemade bubble solution. her measuring cup is divided into eighths.what fractio

Lesechka [4]

She will need 6/8 because 3/4 the cup is divided into 8 so we need the denominator to be 8. we multiply 4 x 2 and what every we do to the top happens to the bottom so we also multiply 3 x 2. then we see that sara needs 6/8 cups of dish soap to make her bubbles

6 0

2 years ago

Read 2 more answers

If -7 +3x=-25, what is the value of x^2-6x+9

Musya8 [376]

Add seven to both sides of the equal sign. Now you have 3x= -18 Then divide by three on each side. Now you have x= -6 Then plug it in. -6^2-6(-6)+9 The answer to that is 9

4 0

2 years ago

Read 2 more answers

Explain Well please.

Art [367]

The answer is C，
as she uses SSS to prove its congruent, she uses sides instead of angles so option a and d is not correct. as it needs to prove triangle pqr is congruent to triangle sqr, its not necessary to prove PQ is equal to QR. so the answer is c

7 0

3 years ago

The recycling center collected 48,000 ounces of

Leona [35]

Answer: 1.5 tons

Step-by-step explanation:

Given

The recycling center collected 48,000 ounces of aluminum can

An ounce is the unit of weight and it can be expressed in tons as

$1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}$