8. Write the multiplicative inverse of each number.<br>a. 7 b. -2c. 1 d. 0°

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

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".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

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

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

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

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.261$

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.369$

And the 90% confidence interval would be given (0.261;0.369).

We are confident at 90% that the true proportion of people that they were planning to pursue a graduate degree is between (0.261;0.369).

lower limit =0.261

upper limit =0.369

5 0

4 years ago

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a

dmitriy555 [2]

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes already. How many more boxes must they sell to raise 180 dollars?

Answer: We are given:

The amount of money Tony's club get for every box they sell $=1 \frac{1}{8} =1.125$ dollar

They amount of money Tony's club has raised by selling 75 boxes is:

$75 \times 1.125=84.375$ dollars

The amount of money Tony's club is required to raise = 180 dollars

The remaining need to be raised is :

$180-84.375=95.625$ dollars

Therefore, the number of more boxes to be sold are:

$\frac{95.625}{1.125}=85$

Hence, 85 more boxes they must sell to raise 180 dollars

8 0

3 years ago

What ever link you send me i will open and mark brainlest

nordsb [41]

Answer:

ok

Princess_Anyla/nka8iza0q6lm8dm1

Step-by-step explanation:

7 0

3 years ago

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She

Savatey [412]

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft

learn more on right triangles here: brainly.com/question/25799394

4 0

2 years ago

THIS IS KINDA SCIENCE BUT MY PRE-AL TEACHER IS MAKING ME DO THIS

Sergeu [11.5K]

9.3*10 miles, which is 93,000,000 miles

4 0

3 years ago

8. Write the multiplicative inverse of each number.a. 7 b. -2c. 1 d. 0°​

8. Write the multiplicative inverse of each number.a. 7 b. -2c. 1 d. 0°