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4 years ago

If events A and B are independent, find P(A|B)

Mathematics

2 answers:

almond37 [142]4 years ago

5 0

Read the introductory paragraph and answer the question in complete sentences.

The community comes alive at night! Schools that once were dark in the evening are now alive with lights and people. The people are adults and the lights are on and the school buildings are open because adults are enrolled in community education classes.

What do you believe the subject will be?

saveliy_v [14]4 years ago

5 0

Answer:

the answers a on e2020

Step-by-step explanation:

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The amounts (in ounces) of randomly selected eight 16-ounce beverage cans are given below. See Attached Excel for Data. Assume t

motikmotik

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The amounts (in ounces) of randomly selected eight 16-ounce beverage cans are given below.

16.5, 15.2, 15.4, 15.1, 15.3, 15.4, 16, 15.1

Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans and fill in the blanks appropriately.

A 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is ( , ) ounces. (round to 3 decimal places)

Answer:

$99\% \: \text {confidence interval} = (14.886, \: 16.113)\\\\$

Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.

Step-by-step explanation:

Let us find out the mean amount of the 16-ounce beverage cans from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

$\bar{x} = 15.5$

Let us find out the standard deviation of the 16-ounce beverage cans from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

$s = 0.4957$

The confidence interval is given by

$\text {confidence interval} = \bar{x} \pm MoE\\\\$

Where $\bar{x}$ is the sample mean and Margin of error is given by

$$ MoE = t_{\alpha/2} \cdot (\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sample size, s is the sample standard deviation and is the t-score corresponding to a 99% confidence level.

The t-score corresponding to a 99% confidence level is

Significance level = α = 1 - 0.99 = 0.01/2 = 0.005

Degree of freedom = n - 1 = 8 - 1 = 7

From the t-table at α = 0.005 and DoF = 7

t-score = 3.4994

$MoE = t_{\alpha/2}\cdot (\frac{s}{\sqrt{n} } ) \\\\MoE = 3.4994 \cdot \frac{0.4957}{\sqrt{8} } \\\\MoE = 3.4994\cdot 0.1753\\\\MoE = 0.6134\\\\$

So the required 99% confidence interval is

$\text {confidence interval} = \bar{x} \pm MoE\\\\\text {confidence interval} = 15.5 \pm 0.6134\\\\\text {confidence interval} = 15.5 - 0.6134, \: 15.5 + 0.6134\\\\\text {confidence interval} = (14.886, \: 16.113)\\\\$

Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.

8 0

4 years ago

Solve the inequality. -5-x/3<4

lora16 [44]

Hey there! :)

(-5 - x)/(3) < 4

Start out by multiplying both sides by 3. This is to get rid of any fractions we have!

3 • (-5 - x)/(3) < 4 • 3

Simplify!

-5 -x < 12

Add 5 to both sides so that we can isolate our variable.

-5 - x + 5 < 12 + 5

Simplify!

-x < 17

Divide both sides by -1.

Keep in mind that when dividing by a negative number, you must change the sign of the “crocodile mouth.” So, < turns into >.

-1 / -x > 17 / -1

Simplify.

x > -17

Hope this helped! :)

6 0

3 years ago

Read 2 more answers

Simplify ) () 3 07 6 21 21 6

Kruka [31]

Answer:

what am I simplifying exactly

7 0

4 years ago

+264=1,707 whats the addend

umka2103 [35]

If you switch it around, it'll be: 1,707 - 264

Subtract:

1,707 - 264 = 1443

Answer = 1,443

~Hope this helped~