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3 years ago

5

Jamie works 6.5 hours on Monday and 5.25 on Tuesday. She makes $12 per hour. How much money does she earn from working Monday an

d Tuesday?

2 answers:

Vsevolod [243]3 years ago

5 0

69.5
Step by step:6.5+5.25 times 12

cricket20 [7]3 years ago

4 0

Uhhhhhhhhhhhhhhhhhhhhhh

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Is 13/8 rational have to add more letters lol

Serhud [2]

I do not believe so but dont quote me on it.

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3 years ago

The triangle ABC is dilated with respect to the point O(8, -3) and the scale factor 3 to a new triangle A'B'C'. What is the slop

Aleks [24]

The slope of the line segment A'C' is 1/7.

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4 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

3 years ago

D.<br> Question 2<br> - 3x + 7 (-6 - 50)<br> c=7<br> x = -9

Reil [10]

Answer:

-365

Step-by-step explanation:

-3x+7(-6-50)

-3(-9)+7(-6-50)
27+7(-6-50)
27-42-350
-15-350
=-365

5 0

3 years ago

your goal isto take at least 10000 steps per day. according to your pedometer you have walked 5274 steps. write and solve an ine

Diano4ka-milaya [45]

Let x be the number of days you need to work.

Your goal is to achieve at least 10 000 steps.

x + 5274 ≥ 10 000

x ≥ 10 000 - 5274

x ≥ 4726

-------------------------------------------------------------------------------------------------------
You need to take at lest another 4726 steps to achieve the goal.
-------------------------------------------------------------------------------------------------------

6 0

3 years ago

Read 2 more answers