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3 years ago

Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.

Mathematics

1 answer:

faltersainse [42]3 years ago

5 0

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7 Not correct

B. 42/7 = 6 Correct

C. 108/18 = 6 Correct

D. 40/5 = 8 Not correct

E. 96/16 = 6 Correct

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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

The amount 6.40 is 4% of what price

lys-0071 [83]

Answer:

160

Step-by-step explanation:

6.4 = 0.04x

6.4 / .04 = 160

4 0

3 years ago

Read 2 more answers

A student starts at (0,0) and walks to (12, 0), turns and then walks to (7,12). What is the total distance that this student wal

Harman [31]

Answer:

Step-by-step explanation:

(0,0) to (12,0) => the distance = 12

(12,0) to(7,12) => the distance =

√[(12-0)²+(7-12)²]=√(144+5) =√169 = 13

so, the total distance = 12+13 = 25

4 0

3 years ago

Oni works at a restaurant. They earn 12.01 per hour plus a 4.05 each time someone signs up for the store's credit card. Write a

Lunna [17]

I think you take 12.01 and multiply by "h" the hours, and then 4.05 by "x" for the people signing up. So I think it is 12.01h+ 4.05a. Does that sound right? You probably know this better than me ;)

3 0

3 years ago

Can someone please check my answer thank you

serious [3.7K]

Answer:

x = 1 , x = -2.

Step-by-step explanation:

You are correct when x = -2 and x = 1 we find that f(x) = g(x).

6 0

3 years ago