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3 years ago

Find the value of the variables in the parallelogram

Mathematics

1 answer:

zavuch27 [327]3 years ago

7 0

Answer:

Step-by-step explanation:

y = 180 - 100 - 38 (angle sum of triangle is 180 degrees)

= 42 degrees

x = 38 degrees (alternate angles on || lines)

z = 100 degrees (opposite angles on parallelogram are equal)

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Which function matches the<br> graph?

Effectus [21]

I think it’s a reciprocal function

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3 years ago

If 8 ounces of a sports drink contain 110 milligrams of sodium what is the total number of milligrams of sodium in 20 ounces of

Sati [7]

The milligrams of sodium in a 20 ounce sports drink is 275 milligrams.
Work:
I divided 110 by 8 which gave me 13.75
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I then divided it by 20 and got 275 the number of milligrams in a 20 ounce drink.

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3 years ago

P(take the bus) seniors =

lidiya [134]

Answer: 0.14

Step-by-step explanation:

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3 years ago

Write an equation of the line that passes through the given points.<br> (-2,8) and (1, -1)

KIM [24]

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

<h2><u>Therefore equation: y = -7x/3 + 10/3</u> </h2>

6 0

2 years ago

A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

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:

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

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find 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.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

3 years ago