In 2005, there were 74,250 car accidents. In 20,187 of them, the driver was a

Mathematics

1 answer:

zhuklara [117]2 years ago

6 0

Answer:

27.19% probability that a female driver was involved in an accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

74,250 car accidents. Of those, in 20,187, the driver was a female.

Based on this, what is the probability that a female driver was involved in an accident?

p = 20187/74250 = 0.2719

27.19% probability that a female driver was involved in an accident

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Step-by-step explanation:

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2 years ago

Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)

Citrus2011 [14]

For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
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m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
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2 years ago

Expand (3 - 2x)6. What is the coefficient of the sixth term?

stich3 [128]

To expand (3 - 2x)^6 use the binomial theorem:

(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n

So, for x = 3, y = -2x , and n = 6 you get:

(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6

So, the sixth term is C(6,5)(3)(-2x)^5 = 6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.

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2 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat

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Answer:

$h=50.25\ ft$

Step-by-step explanation:

Right Triangles

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

$\displaystyle tan\alpha=\frac{a}{c}$

where a is the opposite leg to $\alpha$ and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

$a=50tan8^o$