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Nesterboy [21]
3 years ago
5

Solve for d. -4d + 7 = 3d

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Step-by-step explanation:

The Answer Is

-4d + 7 = 3d

So, 7 = 3d + 4d

Then, 7 = 7d

•d = 7/7

= 1

So D = 1.

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The reproduction function for a sardine is f(p) = −0.0005p2 + 4p, where p and f(p) are in hundred metric tons. Find the populati
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Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000

The size of the maximum sustainable yield is:

f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000

Population = 4,000 hundred metric tons

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3 0
3 years ago
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
Zigmanuir [339]

Answer:

a) 8.2962

b) 6.3956

c) 3.845

Step-by-step explanation:

Z-score:

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 question, we have that:

\mu = 5.6, \sigma = 2.6

(a) What response represents the 85th ​percentile? ​

This is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

1.037 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*1.037

X = 8.2962

(b) What response represents the 62nd ​percentile?

This is X when Z has a pvalue of 0.62. So X when Z = 0.306.

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

0.306 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*0.306

X = 6.3956

​(c) What response represents the first ​quartile?

The first quartile is the 100/4 = 25th percentile. So this is X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

-0.675 = \frac{X - 5.6}{2.6}

X - 5.6 = 2.6*(-0.675)

X = 3.845

3 0
3 years ago
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Monica [59]

Answer:

-20x.....

Step-by-step explanation:

–4(5x)

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Step-by-step explanation:

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Step-by-step explanation:


Step 1:     96 + 96 = 192


Step 2:    360 - 192 = 168

Step 3:     168 / 2 = 84

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3 years ago
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