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solmaris [256]
3 years ago
15

I dont understand plz help plz i am timed i have 8 mins left plz help me

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer: the answer is a

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Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a norm
Artemon [7]

Answer:

a) 0.5.

b) 0.8413

c) 0.8413

d) 0.6826

e) 0.9332

f) 1

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 = 6, \sigma = 0.2

(a) P(x > 6) =

This is 1 subtracted by the pvalue of Z when X = 6. So

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

Z = \frac{6-6}{0.2}

Z = 0

Z = 0 has a pvalue of 0.5.

1 - 0.5 = 0.5.

(b) P(x < 6.2)=

This is the pvalue of Z when X = 6.2. So

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

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

(c) P(x ≤ 6.2) =

In the normal distribution, the probability of an exact value, for example, P(X = 6.2), is always zero, which means that P(x ≤ 6.2) = P(x < 6.2) = 0.8413.

(d) P(5.8 < x < 6.2) =

This is the pvalue of Z when X = 6.2 subtracted by the pvalue of Z when X  5.8.

X = 6.2

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

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 5.8

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

Z = \frac{5.8-6}{0.2}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

(e) P(x > 5.7) =

This is 1 subtracted by the pvalue of Z when X = 5.7.

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

Z = \frac{5.8-6}{0.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

(f) P(x > 5) =

This is 1 subtracted by the pvalue of Z when X = 5.

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

Z = \frac{5-6}{0.2}

Z = -5

Z = -5 has a pvalue of 0.

1 - 0 = 1

5 0
3 years ago
3 examples of proportion in real life ?
mars1129 [50]

Answer:

Proportion of games an NFL team wins.

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

Step-by-step explanation:

Proportion is a relationship between measures.

Examples in real life are:

Proportion of games an NFL team wins.

For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.

Other possible examples are:

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

...

7 0
3 years ago
Which diagram shows the correct electron configuration for fluorine (F)?
daser333 [38]

Answer:

it is the first one i think

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
(+30) + (+43)<br><img src="https://tex.z-dn.net/?f=%20-%2084%20%2B%20%20%2B%2021" id="TexFormula1" title=" - 84 + + 21" alt=" -
zimovet [89]

Answer:

1. 73

2.-63

Step-by-step explanation:

1. 30+43=73

2. -84+21= 21-84=-63

6 0
3 years ago
9) Which point is a solution to the equation 3x + 2y = 9?<br> A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
7nadin3 [17]

Answer:

c. (1, 3)

Step-by-step explanation:

The coordinates that best suite the equation, given it the answer.

4 0
3 years ago
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