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Digiron [165]
4 years ago
13

13.) The heights (in inches) of males in the United States are believed to be approximately normally

Mathematics
1 answer:
Fantom [35]4 years ago
3 0

Answer:

Option C) 0.830                                            

Step-by-step explanation:

We are given the following in the question:

The heights (in inches) of males in the United States are believed to be approximately normally   distributed with mean \mu.

Sample size, n = 25

Sample mean, \bar{x} = 69.72 inches

Standard deviation, \sigma = 4.15 inches

We have to find the standard error of \bar{x}.

Standard error =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{4.15}{\sqrt{25}} = \dfrac{4.15}{5} = 0.83

Thus, the standard error of \bar{x} is 0.83 inches.

The correct answer is

Option C) 0.830

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If f(x) = х2 – 2х + 3, thеn find<br> f(-3).
exis [7]

Answer:

\huge\boxed{\sf f(-3) = 18}

Step-by-step explanation:

\sf f(x) = x^2 - 2x + 3

<u>Put x = -3</u>

\sf f(-3) = (-3)^2 -2(-3) + 3\\f(-3) = 9 + 6 + 3\\f(-3) = 18

3 0
3 years ago
If the simple interest on ​$1000 for 7 years is ​$560​, then what is the interest​ rate
levacccp [35]

Answer:

8%

Step-by-step explanation:

560 interest/7 years=80 interest per year

1000xinterest rate=80

interest rate = 80/1000

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4 0
3 years ago
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
Pavel [41]

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

8 0
3 years ago
Can someone help me on this plzzz
choli [55]

Answer:

b=15

How I got it:

32 + (7x4) = 32 + 28 = 60

60 divided by 4 = 15

Checking:

15 - 7 = 8

8 x 4 = 32

32 = 32

<em>You can tell b = 15 is the correct answer.</em>

3 0
3 years ago
ABC is a straight line where BC = 3AB. OA = a, AB = b Express OC in terms of a and b.​
Aleks [24]
That would be 3AB because of the expression you have
7 0
2 years ago
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