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2 years ago

EXTREMELY URGENT GEOMETRY! 15 POINTS! PLEASE HELP

Mathematics

1 answer:

zhenek [66]2 years ago

7 0

Answer:

20.3 units

Step-by-step explanation:

AB/CB = BD/AB

9/CB = 4/9

CB = 9×9/4

CB = 81/4 = 20¼ units

20.25 (20.3 units correct to 1 dp)

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The slope of a line is -1/4 and the y-intercept is 8. Whats the x-intercept?

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Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8

x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32

Answer: x-intercept = (32,0)

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2 years ago

The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le

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Step-by-step explanation:

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2 years ago

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2 years ago

Fourteen subtracted from 2 times a number is 28. Write an equation?

Alecsey [184]

Step-by-step explanation:

let the unknown number be x

1St step: twice the number is 2(x) =2x

2nd step: 2x -14

3rd step: 2x - 14=28...

5 0

2 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

2 years ago