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VARVARA [1.3K]
3 years ago
6

Please answer this.

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

36 years

Step-by-step explanation:

Tom's age : Nephew's age = 3 : 1

Tom's age = 3x

His nephew's age = x

Difference of age = 24 years

3x - x = 24

2x = 24

Divide both sides by 2

x = 24/2

x = 12

Tom's age = 3*12 = 36

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Construct a confidence interval for p1-p2 at the given level of confidence.
Georgia [21]

Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).

<h3>What is the mean and the standard error for the distribution of differences?</h3>

For each sample, the mean and the standard error are given as follows:

  • p_1 = \frac{30}{235} = 0.1277, s_1 = \sqrt{\frac{0.1277(0.8723)}{235}} = 0.0218.
  • p_2 = \frac{39}{294} = 0.1327, s_1 = \sqrt{\frac{0.1327(0.8673)}{294}} = 0.0198.

For the distribution of differences, they are given by:

  • \overline{p} = p_1 - p_2 = 0.1277 - 0.1327 = -0.005.
  • s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0218^2 + 0.0198^2} = 0.0294

<h3>What is the confidence interval?</h3>

The interval is given by:

\overline{p} \pm zs

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

Hence the bounds of the interval are:

\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534

\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Which of the following situations describe the expression 3 / (4/5)?
creativ13 [48]

Answer:

Choice D

Step-by-step explanation:

3 ÷ 4/5

We need to have 3 of something and divide it into 4/5

This eliminates choices B and C because those have 4/5 of something

Choice A is giving away which is subtracting

Choice D is 3 lbs divide into 4/5 lb groups

4 0
2 years ago
-2x + 15 = 7 <br> Show your work steps and the solution
77julia77 [94]

Answer:

x=6

Step-by-step explanation:

-2x+15=7

-2x=7-15

-2x=-8

x=-8/-2

x=6

3 0
2 years ago
Read 2 more answers
The smallest of three consecutive integers is 24 less than the sum of the two larger integers. Find the three integers.
harkovskaia [24]

Answer:

21, 22, 23

Step-by-step explanation:

Construct equations representing each piece of information.

Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.

Let's let

Integer 1 = X

Integer 2 = Y

Integer 3 = Z

X = (Y + Z) - 24

We also know that

Y = X + 1

and Z = X + 2

We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.

X = (X+1) + (X+2) - 24

now solve for x,

X = 2X + 3 - 24

X = 2X - 21

-X = - 21

X = 21

So, the integers are 21, 22, 23

3 0
3 years ago
May you please help me??​
mart [117]

Answer:

.....the answer is 1400

3 0
3 years ago
Read 2 more answers
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