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Minchanka [31]
3 years ago
14

I need help ASAP please!!

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

x = 13 , y = 29

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask!

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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
Where n=6 equals, 6 is a solution.
Brilliant_brown [7]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.​
podryga [215]

Answer:

11.45mm^2

Step-by-step explanation:

Given data

Circumference= 12mm

The expression for the circumference is

C= 2πr

12= 2*3.14*r

12= 6.28r

r= 12/6.28

r= 1.91mm

Hence the area of each small circle is

A= πr^2

A= 3.14*1.91^2

A= 3.14*3.6481

A=11.45mm^2

8 0
3 years ago
When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
2 years ago
What is the volume?
Alina [70]

Answer:

27 cubic unit

Step-by-step explanation:

as 27 is the product of three dimensions 3×3×3

5 0
2 years ago
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