Solve for the given variable:<br><br> A = P (1 + rt) for t

Find the slope of the line through each pair of points.<br> (17, -13) and (17, 8)

NARA [144]

The slope is undefined

7 0

2 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

2 years ago

Read 2 more answers

Plzzzz help! i will give brainliest 100 points! Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. A. 4 time

Blizzard [7]

Answer:

C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1

Step-by-step explanation:

f(x) = 8x^3 + 16x^2 − 15

g(x) = 2x + 1.

f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)

Using long division

4 0

2 years ago

What is the measure of angle X? Enter your answer as a decimal in the box. Round only your answer to the nearest hundredth. ° tr

klemol [59]

I have attached a diagram of the triangle described.

We can use any of the trigonometric functions to find angle x. Remember, SOH CAH TOA. And since we're finding the angle, we'll need to use an inverse trigonometric function. For this problem, I'll be using the sine function.

sin(x) = 84 / 85

x = sin^-1(84/85)

x = 81.2026 degrees (feel free to round to however many places you need)

Hope this helps!! :)

8 0

2 years ago

Three items weighing 5.28 kg 3.68 kg and 5.49 kg are to be posted but are found to be overweight. By how much does the total wei

NikAS [45]

Answer:

1.69 kg

Step-by-step explanation:

add than subtract

yep thats it

3 0

1 year ago

Solve for the given variable: A = P (1 + rt) for t