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2 years ago

Find the sum. 7x + 15x =

Mathematics

2 answers:

kotegsom [21]2 years ago

7 0

Answer:

22x

Step-by-step explanation:

7x + 15x

(7 + 15)x

22x

DiKsa [7]2 years ago

3 0

22x is the answer to the question

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she

Nataly_w [17]

Answer:

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 1.96\frac{\sigma}{\sqrt{n}}$

$4\sqrt{n} = 1.96\sqrt{\sigma}$

$\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2$

$n = (\frac{1.96\sqrt{\sigma}}{4})^2$

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

4 0

3 years ago

In the right triangle shown

pav-90 [236]

Answer:

Step-by-step explanation:

Using the 30-60-90 triangle formula side AB would be double of side CB.

3 0

3 years ago

Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to

nasty-shy [4]

Answer:

$1100

Step-by-step explanation:

Let the rent be x

Discounted rent

x - $50

Increase applied

Final rent:

(x - 50) + 10% = (x - 50)*1.1

We know this is equal to x + 5% = 1.05x, comparing now

1.1(x - 50) = 1.05x
1.1x - 1.05x = 55
0.05x = 55
x = 55/0.05
x = $1100

6 0

2 years ago

Solve by square rooting : 3(X+2)^2:8

dolphi86 [110]

The value of x is √8/3 - 2

Step by step explanation:

The given equation is

3(x+2)^2=8

To find x,

(x+2)²= 8/3

By taking square root on both sides

x+2= √8/3

x=√8/3 -2

x= -0.37

Thus the square root for the given value is -0.37

3 0

3 years ago

Select all expressions that are equivalent to 8(t+4)

monitta

8t+32 is one expression equivalent to that.

5 0

3 years ago