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2 years ago

What the answer now fast

Mathematics

1 answer:

Mademuasel [1]2 years ago

8 0

Answer:

45°

Step-by-step explanation:

This is right triangle with equal legs of √31

Since two sides are equal and the angle between them is 90°, other angles are equal and their value is:

(180°- 90°)/2= 45°

Answer is m∠V= 45°

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Kimo paid $24 for the shirt which was 75% of the regular price. What was the regular price

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2 years ago

a new rectangular park is planned.it will be 3/4 kilometer long and have an area of 3/8 square kilometers. how many kilometers w

kakasveta [241]

The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park

Answer:

$Width = 2\ km$

Step-by-step explanation:

Given

$Length = \frac{3}{8}km$

$Area = \frac{3}{4}km^2$

Required

Determine the Width

For a rectangle:

$Area = Length * Width$

Substitute for Area and Length

$\frac{3}{4} = \frac{3}{8} * Width$

Multiply both sides by $\frac{8}{3}$

$\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width$

$\frac{8}{3} * \frac{3}{4} = Width$

$\frac{24}{12} = Width$

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3 years ago

The side of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeters units

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3 years ago

andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 2000, \sigma = 18$

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So $n = 100, s = \frac{18}{\sqrt{100}} = 1.8$

This probability is the pvalue of Z when X = 1995. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

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

$Z = \frac{1995 - 2000}{1.8}$

$Z = -2.78$

$Z = -2.78$ has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when $Z = 1.28$

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

$1.28 = \frac{X - 2000}{1.8}$

$X - 2000 = 1.8*1.28$

$X = 2002.3$

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

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2 years ago

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Darina [25.2K]

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-> your x coordinate is the adjacent side, and y the opposite

tan θ=opposite/adjacent=y/x=15/5=3

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3 years ago