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3 years ago

A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

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3 years ago

The coordinates of the midpoint of gh are m(-13/2,-6) and the coordinates of one endpoint are g(-4,1). what is the other endpoin

Alex777 [14]

Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

<h3>How to Apply the Midpoint Formula?</h3>

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

Learn more about the midpoint formula on:

brainly.com/question/13115533

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1 year ago

A rectangle has a width of 4 inches and a length of 6 inches. A similar rectangle has a width

qaws [65]

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3 years ago

Nancy's garden has the dimensions shown 4 1/2 yard<br><br> 3 3/4 yd . She need find the area

Marina86 [1]

Answer:

The area of Nancy's garden is $16\frac{7}{8}\ yd^{2}$

Step-by-step explanation:

I assume that the Nancy's garden is a rectangle shape

To find the area first convert mixed number to an improper fraction

$4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd$

$3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd$

Therefore

The area is equal to

$A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}$

convert to mixed number

$\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}$

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3 years ago