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3 years ago

Which reason justifies statement 2?

Mathematics

1 answer:

weqwewe [10]3 years ago

8 0

Answer:

C. Alternate interior angles are congruent

Step-by-step explanation:

<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.

Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".

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What is a sample space

Gnoma [55]

The range of values of a random variable

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3 years ago

Write an equation that could represent the function table

ExtremeBDS [4]

Answer:

y = $x^{2}$

Step-by-step explanation:

Squaring a number means multiplying the number by itself. 0*0=0. 1*1=1. 2*2=4, and 3*3=9. This is the pattern shown in the table.

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2 years ago

Read 2 more answers

The median of a group of individuals’ BMIs whose BMIs are 20.47, 21.92, 23.32, 23.41, 25.7, and 30.1 is approximately ___.

fomenos

The median is the middle number in a set of ordered numbers. Ordered from least to greatest, the middle numbers are 23.32 and 23.41. Because there are two, we add 23.32 and 23.41 and divide it by two. 23. 32 + 23.41 = 46.73 / 2 = 23.365. So approximately 23.37. Hope this helps!

8 0

3 years ago

A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs

kumpel [21]

Answer:

0.6844 = 68.44% probability that a drum meets the guarantee.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 101.8 pounds and a standard deviation of 3.76 pounds.

This means that $\mu = 101.8, \sigma = 3.76$

What is the probability that a drum meets the guarantee?

Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So

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

$Z = \frac{100 - 101.8}{3.76}$

$Z = -0.48$

$Z = -0.48$ has a p-value of 0.3156.

1 - 0.3156 = 0.6844

0.6844 = 68.44% probability that a drum meets the guarantee.

7 0

3 years ago

Plz help ill give you brainlist

GaryK [48]

In terms of diameter (d), the area (A) of a circle is given by
A = (π/4)d²
For your larger circle ...
A = (π/4)*(24 km)²
A = 144π km² . . . . . . . . area of larger circle

For your smaller circle ...
A = (π/4)*(8 km)²
A = 16π km² . . . . . . . . . area of smaller circle

The ratio of the two areas is
(larger area)/(smaller area) = ((π/4)*(24 km)²) / ((π/4)*(8 km)²)
= (24/8)² . . . . . . . . . . . . π/4, km cancel, so it simplifies to this
= 3²
= 9 . . . . . . this many small circles have the same area as the larger circle

Changing km to ft does not change the ratio of areas.

3 0

3 years ago