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3 years ago

(need done quickly)

1 answer:

3 0

The error is that he probably forgot the decimal point thus causing him to say '"hundred" instead of "and" for the decimal point.

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Carla needs 8 inches of ribbon for each craft she makes. What is the greatest number of crafts Carla can make using 30 feet of r

Contact [7]

Well 30x12in is 360in. 360in divided by 8 is 45. She can make 45 crafts

7 0

2 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

If tan e = 1.3, what is the value of cot (90° - 9)?

ella [17]

Answer:

Step-by-step explanation:

We are given that:

$\tan(\theta)=1.3$

And we want to find:

$\cot(90^\circ -\theta)$

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

$\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)$

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

7 0

3 years ago

The function h(t) = -4.9t² + 19.6t is used to model the height of an object projected in the air where h(t) is the height (in me

goblinko [34]

Answer:

Step-by-step explanation:

when h(t)=0

-4.9 t²+19.6t=0

4.9t(-t+4)=0

either t=0 or t=4

so domain is 0≤t≤4

for range

h(t)=-4.9t²+19.6t

=-4.9(t²-4t+4-4)

=-4.9(t-2)²+19.6

so range is 0≤h≤19.6

5 0

3 years ago

Read 2 more answers

The graph below plots the values of y for different values of x: (look at graph picture)

Dima020 [189]

Answer:

A: x and y have a strong, positive correlation

Step-by-step explanation:

Correlation coefficient measures the relation between two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

0 represent no relation
1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y is 0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to 1, it is clear that relation is strong.

based on above discussion

option A

x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

Thus, graph also shows that there is strong positive correlation

5 0

3 years ago