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3 years ago

8

Find the unknown length in the pair of similar figures.

1 answer:

kramer3 years ago

4 0

Answer:

when figure is similar then ratio of sides are equal .so,

15/5 = y/9

5y = 135

y= 27

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Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

Vedmedyk [2.9K]

Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$

And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

$P(-2.726 \leq Z \leq 0.584)$

And we can find this probability like this:

$P(-2.726 \leq Z \leq 0.584)=P(Z$

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3 years ago

For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two

Hitman42 [59]

Let the acute angle be 2x.

Its complement is 90 - 2x.

It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

90 < 3x

or, x > 30.

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Therefore, the statement is true for all angles that are greater than 60 degrees.

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3 years ago

Benjamin has enough icing to cover a 1/2-square-foot cake.

Serhud [2]

Answer:

A

Step-by-step explanation:

because the answer is A

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Lily has 15 shells in her shell collection. Krystal has twice as many shells in her collection as lily does. Mara has 11 fewer s

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Mara has 19 shells. I hoped this helped! Mark as branliest if possible!

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2 years ago

Read 2 more answers

Explain how you know that the equations 1/4=2x and 1/4/x=2have the same solution

il63 [147K]

the equations 1/4=2x and 1/4/x=2have the same solution

because 1 / 4/ x = 2 can be simplified to

1 / 4 = 2x which is the same with the first equation

Solve for x = 1/8

Then substitute it to the both equation

¼ = 2 ( ¼)

¼ = ¼

2nd equation

1/ 4 /( 1/8) = 2

2 =2

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4 0

3 years ago