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3 years ago

Plz help me ASAP thxs.

Mathematics

2 answers:

dangina [55]3 years ago

8 0

Answer -
A and B

Explanation -
5 quarts = 160 fluid ounces
2 gallons = 256 fluid ounces

mars1129 [50]3 years ago

4 0

Answer:

A, B

Step-by-step explanation:

5 quarts = 160 fluid ounces

2 gallons = 256 fluid ounces

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Angles that share a vertex, but not a side are called?

WARRIOR [948]

Adjacent angles are the angles that share a common vertex but no common interior points.

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4 years ago

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67 inches and a s

liq [111]

Answer:

a) 20.33% probability that the participant is less than 64.5 inches.

b) 33.72% probability that the participant is more than 68.25 inches

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 67, \sigma = 3$

a.) Find the probability that the participant is less than 64.5 inches?

This is the pvalue of Z when X = 64.5.

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

$Z = \frac{64.5 - 67}{3}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033

20.33% probability that the participant is less than 64.5 inches.

b.) Find the probability that the participant is more than 68.25 inches?

This is 1 subtracted by the pvalue of Z when X = 68.25.

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

$Z = \frac{68.25 - 67}{3}$

$Z = 0.42$

$Z = 0.42$ has a pvalue of 0.6628

1 - 0.6628 = 0.3372

33.72% probability that the participant is more than 68.25 inches

3 0

3 years ago

If m <1 = 115° and the m < 8 = 105°, what is the measure of angle 5?

vovikov84 [41]

Answer:

measure of angle 5 = 75 degrees

Step-by-step explanation:

given measure of angle 8 = 105 degrees,

angle 8 and angle 5 are in a linear pair so,

(the sum of angles in a linear pair is 180 degrees)

therefore, angle 8 + angle 5 = 180 degrees

therefore,. 105 + angle 5 = 180 degrees

angle 5 = 180 - 105

angle 5 = 75 degrees

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3 years ago

Evaluate: -4(-1/8 + 0.3) A. - 1.7 B. - 0.7 C. 0.8 D. 2

kobusy [5.1K]

$-4(- \dfrac{1}{8} + 0.3)$

Rewrite decimal to fraction:
$= -4(- \dfrac{1}{8} + \dfrac{3}{10})$

Change the denominators to be the same:
$= -4(- \dfrac{1 \times 5}{8 \times 5} + \dfrac{3 \times 4}{10 \times 4})$

Simplify each fraction:
$= -4(- \dfrac{5}{40} + \dfrac{12}{40})$

Add the fraction in the bracket:
$= -4( \dfrac{7}{40})$

Multiply:
$= -\dfrac{7}{10}$

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3 years ago

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The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v?

alexandr402 [8]

Answer:

Step-by-step explanation:

$E=\frac{1}{2}mv^2$

All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

$2E=mv^2$

Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get

$\frac{2E}{m}=v^2$

The undoing of a square is to take the square root, so we will do that to both sides giving us, finally

$\sqrt{\frac{2E}{m} }=v$

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4 years ago

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