Pls help i dont know this one

Calculate the angles of a parallelogram if the sum of the three angles is 310°

Gennadij [26K]

9514 1404 393

Answer:

adjacent angles are 50° and 130°

Step-by-step explanation:

The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...

360° -310° = 50°

Adjacent angles are supplementary, so the other two angles must be ...

180° -50° = 130°

The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.

8 0

3 years ago

The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag

VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

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

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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 p-value of $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

$M = 1.96\frac{2050}{\sqrt{49}} = 574$

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0

3 years ago

Which weighs more, a pound of feathers or a pound of bricks?

myrzilka [38]

Answer:

They both weigh the same amount.

Step-by-step explanation:

A pound of feathers would land and wouldn't hurt, but a pound of bricks would hurt.

Since they both are exactly one pound, if that is the only question and it's a one-part question then there's your answer.

7 0

3 years ago

The function g(x) = \frac{1}{2}\left| {x} \right|g(x)= 21 ∣x∣ is a transformation of the absolute value parent function. Which

Alchen [17]

Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

6 0

2 years ago

HALP!!! I DON'T UNDERSTAND!!!!!

irina [24]

To find the percent of error divide how off the wrong answer was by the right number, then multiply by 100.
Bryan's guess of 730 was 120 less than the actual number so you would divide 120 by 850. 120/850 = 0.141
Then we would multiply that by 100. 0.141 * 100 = 14.1
His percent of error was 14.1%. The percent of error is negative since his guess was less than the right answer.

3 0

3 years ago