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3 years ago

Choose an equivalent ratio. 4:9 A) 27:40 B) 27:18 C) 12:27 D) 16:27

Mathematics

1 answer:

jek_recluse [69]3 years ago

5 0

Answer:

The answer is C.

Step-by-step explanation:

The answer is C because both numbers in 4:9 can be multiplied by the same factor (3) to get 12:27, the answer. No other choice works because they require two different number factors, not just one, which means they aren't equivalent ratios to 4:9.

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ILL GIVE U BRAINLYIST

s2008m [1.1K]

Answer:

Step-by-step explanation:

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3 years ago

What are the steps to long division

Ulleksa [173]

Just for an example, lets say you'd have to solve 35 ÷ 7.
First, the first number always goes inside the┌ (I'll call it "the house") The first number, of course, is 35 in this case.
Second, the second number goes on the outside of "the house" on the left. Of course, the 7 is the second number in this case.
Third, now that you've set up the problem, now you can solve it!
Compare the number on the outside of the house to the first digit on the inside of the house. In this case, that's 7 and 3. Since 7 doesn't go into 3, you move on to the next number that's inside the house, 5. In other words, now you're comparing 7 to 35.
7 goes into 35 5 times, so now you'd put a 5 on top of the house above the 5 in 35!
35 ÷ 7 = 5!
• I hope this was helpful! Sorry it was long, but I was just trying to thoroughly explain it! •

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4 years ago

The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from

Ber [7]

The angle of depression is the angle that is created from a horizontal line drawn from the upper angle of the right triangle that is created in this situation. The angle of depression is an angle exterior to the triangle. It is complementary to the interior angle. So if the angle of depression is 30 and lie outside the triangle, the interior angle has to measure 60. The pole creates a 90 angle with the ground, so what we have here is a 30-60-90 triangle. The one base angle is the right angle (the one the pole makes with the ground) and the other base angle measures 30. We are given the length of the base leg as 75 and we are looking for the height of the pole (the other leg). You would use the tangent ratio to solve for the height of the pole.
Tan(30)=x/75, and 75 tan(30)=x. Doing that on your calculator in degree mode gives you a pole height of 43.3 feet, or 43 feet (which is the height to the nearest foot)

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3 years ago

Anyone know this question

Vedmedyk [2.9K]

Answer is 70degree because if angle 1 is 70 then angle 2 also will be the same then it means even angle 3 will be 70.
HOPE IT HELPS :)

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4 years ago

Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exce

VikaD [51]

Answer:

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

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

To US and Canada:

37 overweight out of 256. So

$p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022$

Europe:

41 overweight out of 246. So

$p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238$

Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):

At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.

$H_0: p_1 - p_2 = 0$

At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.

$H_1: p_1 - p_2 \neq 0$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

From the two samples:

$X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324$

Value of the test statistic:

$z = \frac{X - \mu}{s}$

$z = \frac{-0.0222 - 0}{0.0324}$

$z = -0.68$

P-value of the test:

The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.

Looking at the z-table, z = -0.68 has a p-value of 0.2483

0.2483*2 = 0.4966

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

3 0

3 years ago