According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find the error bound. (Round your answer to three decimal places.)

Answers

Answer 1

Answer:

Answer:

The error bound is 3.125%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{(\pi(1-\pi))/(n)}$

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

For this problem, we have that:

A sample of 506 California adults.. This means that $n = 506$ .

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that $\pi = 0.76$

We wish to construct a 90% confidence interval

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - (0.10)/(2) = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{(\pi(1-\pi))/(n)} = 0.76 - 1.645\sqrt{(0.76*0.24)/(506)} = 0.7288$

The upper limit of this interval is:

$\pi + z\sqrt{(\pi(1-\pi))/(n)} = 0.76 + 1.645\sqrt{(0.76*0.24)/(506)} = 0.7913$

The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:

$EBM = (0.7913 - 0.7288)/(2) = 0.03125$

The error bound is 3.125%.

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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 28 bricks is selected. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all the bricks in the sample exceed 2.75 pounds? (b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Answers

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\n\n=P(z>(2.75-3)/(0.25)\n\n=P(z>(-0.25)/(0.25))\n\n=P(z>-1)\n\n=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\n\n=P(z>(3.75-3)/(0.25))\n\n=P(z>(0.75)/(0.25))\n\n=P(z>3)\n\n=0.9987$

Hence, a) 0.8413, b) 0.9987.

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. How do their two mixtures compare in taste?

Answers

Answer:

Noah's mixture will taste more like orange, than Andre's mixture.

Step-by-step explanation:

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be or 0.62

As,

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.

Dacă aș avea 4 ouă Un hoț îmi dă 3 ouă Cocoșul meu de fermă depune 5 ouăCâte ouă am?

Answers

Answer:

Step-by-step explanation:

3 oua

Daca as avea 4 oua - e presupunere. Nu am.

Un hot imi da 3

Cocosul nu face oua

0+3+0=3

What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.

Answers

Answer: 9990

========================================================

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

9999/3 = 3333
9999/6 = 1666.5
9999/9 = 1111

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

9990/3 = 3330
9990/6 = 1665
9990/9 = 1110

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

How do you find the answer to this?

Answers

Answer:

D) {-1}

Step-by-step explanation:

A rational expression is "not defined" when its denominator is zero. Hence to find values of x that make the expression "not defined," you solve the equation ...

denominator = 0

2x +2 = 0 . . . . . . put the actual denominator into the equation

x + 1 = 0 . . . . . divide by 2

x = -1 . . . . . . . . subtract 1

The expression is "not defined" for x in the set {-1}.

The neighborhood bakery sold 513 loaves of bread last month. If it takes 3 cups of flour to make each loaf of bread, about how many cups of flour were used?

Answers

1,539 cups of flour. They sold 513 loaves and there are 3 cups of flour in each (523x3=1,539)

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