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vesna_86 [32]
3 years ago
12

-7 < 3x + 2 < 5. Solve for x

Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

-3 < x < 1, This is the domain

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It's suppose to add 450mph+250mph=700 then divide 3 hours=233.3
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Help!<br><br>What is the slope of the line represented by -3y=4x+18?
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Its y = -4/3x -6
so-4/3 is slope
4 0
2 years ago
A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a
Amanda [17]

Answer:

FV= 200*(1.07^n)

Step-by-step explanation:

Current population= 200 deer

Growth rate= 7% per year

<u>To calculate the future value of deer in any given years, we need to use the following formula:</u>

<u></u>

FV= PV*(1+g)^n

FV= future value

PV= present value

g= growth rate

n= number of years

FV= 200*(1.07^n)

<u>For example, the population in 5 years:</u>

FV= 200*(1.07^5)

FV= 281

7 0
3 years ago
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

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

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

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

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
3 years ago
bess has knitted 5/8 of the scarf she is making. has she knitted more than 1/2 of the scarf. hint: find an equivalent fraction i
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Yes half of 8 is 4 equaling 4/8. Since she knitted 5/8, then she knitted more than 1/2. Hope this helps:)
4 0
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