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Phoenix [80]
2 years ago
9

PLS HELP WILL GIVE BRAINLIEST

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

Answer:

Step-by-step explanation:

For number 1.

If x = -2.

                    y = 4x + 3 = 4(-2) + 3 = -8 + 3 = -5

If x = 3

                    y = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

If x = -4

                   y = 4x + 3 = 4(-4) + 3 = -16 + 3 = -13

If x = -5

                  y = 4x + 3 = 4(-5) + 3 = -20 + 3 = -17

If x = 5

                  y = 4(x) + 3 = 4(5) + 3 = 20 + 3 = 23

For number 2.

If x = -2

                 y = x^{2} + 4 + 2x = (-2)^{2} + 4 + 2(-2) = 4 + 4 - 4 = 4

If x = 3

                y = x^{2} + 4 + 2x = (3)^{2} + 4 + 2(3) = 9 + 4 + 6 = 19

If x = -3

                y = x^{2} + 4 + 2x = (-3)^{2} + 4 + 2(-3) = 9 + 4 - 6 = 7

If x = 4

               y = x^{2} + 4 + 2x = (4)^{2} + 4 + 2(4) = 16 + 4 + 8 = 28

If x = -4

               y = x^{2} + 4 + 2x = (-4)^{2} + 4 + 2(-4) = 16 + 4 -8 = 12

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Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
maks197457 [2]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Give the margin of error for the 90% confidence interval.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

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The margin of error for the 90% confidence interval is of 0.038.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

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Thus equation (i) becomes

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step  3  :

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