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3 years ago

11

Suppose H is in the interior of right angle JAK. The measure of JAH = (3x-8)º and the measure of KAH = (x+2)º. Find the measure

of angle JAH

1 answer:

poizon [28]3 years ago

7 0

Ok so since its a right angle it adds up to 90° therefore 3x-8+x+2=90 4x-6=90 4x=96 x=24 so JAH=3(24)-8 JAH=64°

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What is the value of n? n–2= 10n+ 4/2 Enter your answer in the box.

pentagon [3]

Answer:

-4 / 9

Step-by-step explanation:

n - 2 = 10n + 4/2

n - 10n = 4/2 + 2

-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)

-9n = 8/2

-9n = 4

n = 4 / -9

therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .

7 0

3 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago

Please answer as fast as possible

elena-14-01-66 [18.8K]

Answer:

t=29/15

Step-by-step explanations:

subtract 1 so 29=15t, and 29 divided by 15 is 29/15. In decimal however will give you a never ending number. (hope this answered your question.

8 0

2 years ago

Simplify the ratio 84: 36: 108: 60

Helga [31]

Answer:

A) 7 : 3

B) 7 : 4

Step-by-step explanation:

84 : 36

Simplified:

42 : 18 ( divided by 2)

21 : 9 ( divided by 2)

7 : 3 ( divided by 3)

7 : 3

108 : 60

35 : 20 ( divided by 3)

7 : 4 ( divided by 5)

7 : 4

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3 years ago

irakobra [83]

Answer:

. a = 15, b = 20 2. a = 5, b = 12

N. 25

U. 9

3. a = 13, b = 84

4. a = 65, b = 72

O. 97

5. a = 6, b = 17.5

6. a = 6-, b = 7

3'

H. 116.6

N. 60

Find the side length b of the right triangle with the given

hypotenuse c and side length a. Round your answer to the

nearest tenth.

G. 30

O. 13

7. c = 61, a = 11

8. C = 82, a = 80dis is the good kid ok

Step-by-step explanation:

5 0

2 years ago