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3 years ago

First-person to get ALL of them right will gets brainiest you have to have an explanation

Mathematics

2 answers:

IrinaVladis [17]3 years ago

5 0

2x and the blank is 2x

iren2701 [21]3 years ago

4 0

Answer:

2x and the blank should be 2x as well

Step-by-step explanation:

all of them are being doubled

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In Illinois, 10 % of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been ar

docker41 [41]

Answer:

a) P(X=5) = 0.065

b) P(X≥1) = 0.928

c) The mean number of repeat offenders is 3.

d) The standard deviation of the number of repeat offenders is 2.

Step-by-step explanation:

n = 25

p = 10% = 0.10

q = 1-p

= 1-0.1

q=0.9

a) Find P(X =5)

Using the binomial distribution formula:

P(X = x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

q = probability of failure

n = total number of trials

x = no. of successful trials

P(X=5) = ²⁵C₅ (0.1)⁵ (0.9)²⁵⁻⁵

= 0.0645 ≅ 0.065

P(X=5) = 0.065

b) We need to find the probability that at least one person is a repeat offender which means at most there can be 25 repeat offenders hence, we need to compute the probability for all values ranging from 1 to 25. The easy way to solve this problem is to find out the probability of less than one repeat offender and then subtract the value from the total probability (i.e. 1).

P(X≥1) = 1 - P(X<1)

= 1 - P(X =0)

= 1 - ²⁵C₀ (0.1)⁰ (0.9)²⁵⁻⁰

= 1 - 0.072

P(X≥1) = 0.928

c) The mean of the binomial distribution is:

μ = np

So, the mean number of repeat offenders can be computed as:

μ = (25)(0.10)

μ = 2.5 ≅ 3

The mean number of repeat offenders is 3.

d) The standard deviation of the binomial distribution is:

σ = √npq

So, the standard deviation of the number of repeat offenders can be computed as:

σ = √(25)(0.1)(0.9)

= √2.25

σ = 1.5 ≅ 2

The standard deviation of the number of repeat offenders is 2.

7 0

3 years ago

Jean transformed a point by using the rule (x,y) (x-6, y+8). The image point is (–4, 1). Which point is the pre-image?

lubasha [3.4K]

For this case we have the following transformation:
$(x, y) (x-6, y + 8)
$
Using the transformation we have that the image is:
$(-4, 1)
$
Therefore, making use of this information, we can find the coordinates of the pre-image
We have then:
$x-6 = -4
$
From here, we clear x:
$x = -4 + 6

x = 2$
On the other hand we have:
$y + 8 = 1
$
From here, we clear y:
$y = 1-8

y = -7$
The coordinates of the pre-image is:
$(x, y) = (2, -7)
$
Answer:
A point that is the pre-image is:
$(x, y) = (2, -7)$

3 0

4 years ago

Read 2 more answers

How to find degrees in triangle using trig?

nordsb [41]

Remember SOHCAHTOA

Sine- opposite/hypotenuse
Cosine- adjacent/hypotenuse
Tangent- opposite/adjacent

Look at the angle (x) you are trying to figure out and pick which one of these it is.

In your calculator, do the equation first to get a decimal

Then press whichever one you chose on the calculator, so if you got like 0.2 by doing opposite/adjacent for tangent, you would type in 0.2 and then the TAN button

hope this makes sense!!

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3 years ago

Which pair of numbers is relatively prime?

Vladimir [108]

I think it is 21 and 50. The only common factor they have is 1.

All the others are divisible by 1 & 3.

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3 years ago

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How many lines are determined by two points? 0 1 2 infinite

Elena L [17]

1 line, because it’s between 2 points

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3 years ago

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