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Kaylis [27]
2 years ago
11

PLEASE HELP ASAP WILL MARK BRAINLIESTsee the pic pls

Mathematics
1 answer:
vovangra [49]2 years ago
3 0

Answer: Your answer is 50

Step-by-step explanation:

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Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and an
Daniel [21]

Using the normal distribution, the percentages are given as follows:

a) 9.18%.

b) 97.72%.

c) 50%.

d) 4.27%.

e) 0.13%.

f) 59.29%.

g) 2.46%.

h) 50%.

i) 50%.

<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.

For this problem, the mean and the standard deviation are given as follows:

\mu = 247, \sigma = 60

For item a, the proportion is the <u>p-value of Z when Z = 167</u>, hence:

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

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the <u>p-value of Z when Z = 367</u>, hence:

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

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is <u>one subtracted by the p-value of Z when X = 247</u>, hence:

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

Z = (247 - 247)/60

Z = 0

Z = 0 has a p-value of 0.5.

Hence the percentage is of 50%.

For item d, the proportion is <u>one subtracted by the p-value of Z when X = 350</u>, hence:

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

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the <u>p-value of Z when Z = 67</u>, hence:

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

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the <u>p-value of Z when X = 300 subtracted by the p-value of Z when X = 200</u>, hence:

X = 300:

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

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

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

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is 59.29%.

For item g, the proportion is the <u>p-value of Z when X = 400 subtracted by the p-value of Z when X = 360</u>, hence:

X = 400:

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

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

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

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246

Hence the percentage is 2.46%.

For items h and i, the distribution is symmetric, hence median = mean and the percentages are of 50%.

More can be learned about the normal distribution at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
How many 1/4 cup servings are in a 12-cup container
pshichka [43]
There are 48 cup servings in a 12-cup container
3 0
3 years ago
1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
ICE Princess25 [194]

Answer:

a) A-B = { 1 , 3, 5 }

b) The remainder is 50

c) f + g)(x) = x⁴+ 5x³

d) \frac{dy}{dx} = \frac{2x- y^3(3x^2))     }{ 1- x^3 3y^2}

Step-by-step explanation:

Step(I):-

1) a)

Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }

A - B = {1,3,5,7} - { 7,14,21}

A - B  = { 1 , 3, 5}

b)

Given f (x)=3x³−11x−48

    x-1  ) 3 x³ - 11x -48 (- 3x²-3x -2

            -3<u>x³ +3x</u>²

                 3x²-11x-48

                <u> -3x²+9x</u>

<u> </u>                      2x -48

                    -2x +2  

                    <u>                     </u>

                         50

The remainder is 50

   

c)  Given f(x) = x³ and g(x) = x + 5

(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³

d)

 Given function   y = 3 + x²+x³y³  ...(I)

By using derivative formulas

            y = xⁿ

            \frac{dy}{dx} = n x^{n-1}

Apply d/dx ( UV) = U V¹ + V U¹



Differentiating equation (I) with respective to 'x' , we get

                      \frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))

                     \frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))

                   \frac{dy}{dx} = \frac{2x- y^3(3x^2))     }{ 1- x^3 3y^2}



7 0
2 years ago
What is the value of point A ? ---------
SpyIntel [72]

Answer:

The answer is (5,3) because x=5 and y=3

6 0
3 years ago
Read 2 more answers
Name the slope and one point that is on the line
Alekssandra [29.7K]

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

------------------

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

7 0
3 years ago
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