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3 years ago

Geometry help will give brainliest solve empty ones

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

H = 72°

k = 18°

m = 54

The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.

So, the equation used to find angle m is 2x = 108.

n = 62°

I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.

Then, angles r and p form a linear pair so they are equal to 180°.

Knowing that r = 108°, p must be 72°.

Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.

In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.

18 + 72 + x = 180

90 + x = 180

x = 90

So, the measure of angle L is 90°.

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3 years ago

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A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarn was made, usin

AlexFokin [52]

Answer:

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

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

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

Subtraction of normal variables:

When we subtract two normal variables, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N.

This means that $\mu_1 = 6.1, s_1 = \frac{0.7}{\sqrt{125}} = 0.0626$

In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N.

This means that $\mu_2 = 5.8, s_2 = \frac{1}{\sqrt{75}} = 0.1155$

Distribution of the difference:

$\mu = \mu_1 - \mu_2 = 6.1 - 5.8 = 0.3$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0626^2+0.1155^2} = 0.1314$

Confidence interval:

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 Ztable as such z has a pvalue 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

$M = zs$

$M = 1.645*0.1314 = 0.22$

The lower end of the interval is the sample mean subtracted by M. So it is 0.3 - 0.22 = 0.08N

The upper end of the interval is the sample mean added to M. So it is 0.3 + 0.22 = 0.52N

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

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3 years ago

Suppose the radius of a sphere is tripled.

Nimfa-mama [501]

$A=4r^2\pi
\\r_1=4r
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The surface area is increased 16 times.

$V= \frac{4}{3} r^3\pi
\\
\\r_1=4r
\\
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The volume is increased 64 times.

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3 years ago

on the stock exchange, 100 shares of pizzazz corp. stock are selling $425. how many shares can be purchased for $1000?

Natali5045456 [20]

Answer:

235.29 shares can be purchased for $1000.

Step-by-step explanation:

On the stock exchange, 100 shares of pizzazz corp. stock are selling $425

We have to determine how many shares can be purchased for $1000?

The price of 100 shares = $425

The price of 1 share = 425/100 = $4.25

Now, It is very easy to calculate the number of shares can be purchased for $1000.

All you have to do is to divide by 1000 by 4.25.

i.e. 1000/4.25 = 235.29 shares

Therefore, 235.29 shares can be purchased for $1000.

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Step-by-step explanation:

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