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3 years ago

Please solve in the image

Mathematics

1 answer:

eimsori [14]3 years ago

4 0

Answer:

$4$

Step-by-step explanation:

The line passes through points $(2,0)\,,\,(0,2)$

Let $(x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)$

Equation of a line passing through points $(x_1,y_1)\,,\,(x_2,y_2)$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2$

So,

$f(x)=y=-x+2$

Put $x=-2$

$f(-2)=-(-2)+2=2+2=4$

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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of

tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, the parameters are given as follows:

$\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743$

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{16 - 15}{0.4743}$

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

$Z = \frac{X - \mu}{s}$

$Z = \frac{15 - 15}{0.4743}$

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

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4 0

2 years ago

7 + -6 = what is the answer

oee [108]

Answer:

answer is 1

I hope it's helps you

7 0

3 years ago

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Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches

Marianna [84]

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

8 0

3 years ago

1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?

MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5... are -6 and 7.

Step-by-step explanation:

index: 1 2 3 4 5 ....

value: 1 -2 3 -4 5

Let the index be n. Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)

So the general formula for a(n) is: a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0

3 years ago

Pleeeease help me translate the following sentence into an equation using n to represent the unknown number. Then solve the equa

anygoal [31]

Six more than: 6 + or + 6
twice a number: let n represent the unknown number: 2n

6 + 2n = 16

So, the answer is either c or d

So, solve the equation

Subtract 6 on both sides of the equation

2n=10

Divide by 2 on both sides of the equation

n=5

So, the answer is C

7 0

3 years ago

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