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3 years ago

Can someone help me with these questions

Mathematics

2 answers:

STALIN [3.7K]3 years ago

6 0

The answer to 9 is C. 10 is A. 11 is B. and 12 is D.

Luda [366]3 years ago

4 0

The worksheet pic is not clear

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Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.

TiliK225 [7]

Answer:

d. 200 and 2

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

Mean = 200

Standard deviation = 18

Sample size: 81

Standard error: $s = \frac{18}{\sqrt{81}} = 2$

So the correct answer is:

d. 200 and 2

7 0

3 years ago

Read 2 more answers

Yasmine bought 4 bracelet. Each bracelet cost $ 3

Morgarella [4.7K]

She spent a total of $12

5 0

3 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

Read 2 more answers

A rectangular prism has a length of 1/1/4 yards, a width of 2/1/2 yards, and a height of 4 yards. Enter the volume of the prism

dmitriy555 [2]

Prism volume = lbh

= 10*8*12

= 960cm^3

Note: I'm assuming the hole was cut right through it...

Hole volume = lbh

= 2*3*12

= 72cm^3

Final volume = 960 - 72 = 888cm^3

7 0

3 years ago

Enter an inequality that represents the graph in the box.

Yuliya22 [10]

Find 2 points on the line:

We will use (2,2) and (0,-6)

Find the slope of the line which is the change in Y over the change in X:

(-6-2) / (0-2) = -8/-2 = 4

The slope = 4

Find the Y intercept:

y = 4x+b

use y1 for y and x1 for x

2 = 4(2) +b

2 = 8 +b

Subtract 8 from both side:

b = -6

Now you have the slope (4) and Y intercept (-6)

The equation of the line becomes y = 4X-6

The line is solid and the shaded portion of the graph is to the left of the line and it is a positive slope so the inequality would become

y ≥ 4x -6

7 0

3 years ago