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2 years ago

I’m not sure what this means

Mathematics

1 answer:

Orlov [11]2 years ago

5 0

These are independent so probability of one does not affect the other.
1. P = 1/8 * 1/6 = 1/48
2. P=1/8 * 3/6 = 3/48 or 1/16
3. P= 4/8 * 1/6 = 4/48 or 1/12
4. P= 4/8 * 3/6 = 12/48 or 1/4
5. P= 5/8 * 2/6 = 10/48 or 5/24
6. P= 4/8 * 2/6 = 8/48 or 1/6

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Please help ASAP! 7th grade

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3 years ago

The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?

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Step-by-step explanation:

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3 years ago

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne

Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w = $\sqrt{\frac{Area}{4}}$

Substitution

w = $\sqrt{\frac{144}{4}}$

Simplification

w = $\sqrt{36}$

Result

w = 6 ft

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3 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

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 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

$2.96 = \frac{X - 61}{8}$