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bogdanovich [222]
2 years ago
6

What is 100/20and 54/7

Mathematics
1 answer:
Deffense [45]2 years ago
5 0

Answer:

they are improper fractions

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The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h
Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

V=L*W*H

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

V=x^{3\ }+11x^2+20x-32

W=x-1

H=x+8

L=?

<u>Find the length of the box</u>

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

x=-8\\x=-4\\ x=1

so

x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)

therefore

<u>the answer is</u>

the length of the box is equal to (x+4)

8 0
3 years ago
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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
How do you solve y=2x-2
Fantom [35]

y=2x-2

y=-4

I think ..................

5 0
3 years ago
Is 1/3 bigger than 1/2
daser333 [38]
No, 1/2 is bigger than 1/3 because:-

1/2 = 3/6
1/3 = 2/6

Compare

3/6 is larger, which means 1/2 is larger since they both equal each other. 

Answer: 1/2 is greater than 1/3
4 0
3 years ago
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An emperor penguin made 460 dives in 12 hours. At this rate, how many dives did the penguin make in 3 hours?
Elenna [48]
Proportionality, assuming constant rate. 460 dives/12 hours = x dives/3 hours. Solve for x.
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3 years ago
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