Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping carsto check for seatbelt use. They stop 40 cars during the first hour.a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use thefact that the mean of a geometric distribution is j = and the variance is 02 - 912b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?=...The mean is(Round to the nearest tenth as needed.)The variance is(Round to the nearest tenth as needed.)The standard deviation is(Do not round until the final answer. Then round to the nearest tenth as needed.)They expect to stop cars before finding a driver whose seatbelt is not buckled.(Round to the nearest tenth as needed.)

Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=
물
...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)

Answers

Answer 1

Using the binomial distribution, it is found that:

The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.

b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].

Item a:

[tex]E(X) = np = 40(0.3) = 12[/tex]

[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]

Hence:

The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.

Item b:

The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:

[tex]E(X) = \frac{q}{p}[/tex]

In this problem, one success, hence [tex]q = 1[/tex] and:

[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]

They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Related Questions

I need help I need help

Answers

you look to see how many sides are congruent as well as the angles. there are one side and one angle that are congruent.

Answer: The are of the triangle is 42 because 9=9=9 is 42 look i just want points

Step-by-step explanation:

lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?

Answers

Step-by-step explanation:

solution

here,

1 dollar = rs 72.45

or, 1/72.45 dollars= rs 1

or, rs 1 = 1/72.45 dollars

now,

rs 1449= 1449/72.45 dollars

or,rs1449= 20 dollars

therefore, 20 dollars can be exchanged for rs 1449

How can you identify the number of solutions of linear equations?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Mark me as brainlist plz :)

Please help me?i don’t want to fail

Answers

Answer:

9y-3y=6

-4x-(-5x)=1

the slope is 6

you start at the 0 axis and go up 3 on the y.Once you did that you want to go up 2 on the y axis then 3 to the right on the x axis,then go up 2 then 3 to the right.

Step-by-step explanation:

Which equation demonstrates the multiplicative identity property?

(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i

Answers

Answer:

C (-3 + 5i) (-3 + 5i) = -16-30i

Step-by-step explanation:

EDGENUNITY

in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the votes would vote the same way again

Answers

86% would vote for the same person again

Can you simplify these two?
5 points for each.

Answers

Answer:

See attached files.

The answers are there.

Giving Brainilest! Tell whether the triangles are similar

Answers

Answer:

57 digress

I think 57 digress of both triangles are similar

Step-by-step explanation:

hope this helps I don't know Its I don't know Its correct answer please ask to some one

Answer:

yes

Step-by-step explanation:

1. both are acute triangles

2. both have all the angles measuring less than 90°

3.first triangle x measures 50 degrees and y measure 80 degrees respectively.

pls give brainliest

If there are 80 shirts - 30%are blue and 40%are red how many
are white

Answers

Answer:

Step-by-step explanation:

30%+40%=70%

100%-70%= 30%

what's 30% of 80?

80×0.3= 24

30% of 80 is 24.
40% of 80 is 32.

that is 56 shirts combined with blue and red shirts. 80 - 56 is 24 shirts :)

Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer

Answers

Answer:

525

Step-by-step explanation:

The demand at a price of 205 is ...

Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

1575 -1050 = 525

The shortage is 525 units.

How would the model and answer in the example problem change if Felicia lives 7/10 miles from the soccer field???

Answers

Step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

)=3(6x−9)−8

7x+(8)(x)+(8)(

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

−37

−3

Answer:

what the

Step-by-step explanation:

Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?

Answers

Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:

x is of at least $0.x is of at most $182.

The domain of a function is the set that contains all possible values for the functions.

In this problem, the input of the function is how much he spends on food.

His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].

To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115

The domain of a function is the set of input values the function can have.

The constraints on the domain are: the amount (x) is at least $0, and it is at most $182

From the question, Dev's budget on food is given as:

[tex]Budget = \$182[/tex]

This means that, he cannot spend more than $182.

Represent the amount with x.

So, we have:

[tex]x \le 182[/tex]

Also, he cannot spend a negative amount.

So, we have:

[tex]x \ge 0[/tex]

So, the domain is:

[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]

Rewrite as:

[tex]0 \le x[/tex] and [tex]x \le 182[/tex]

Combine both inequalities

[tex]0 \le x \le 182[/tex]

Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182

Answers

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?

Answers

Answer:

Rs 500

Step-by-step explanation:

For cost c, the price that gives a 5% profit is ...

c + 5%·c = 1.05c

The price that gives a 5% loss is ...

c -5%·c = 0.95c

The difference of these prices is Rs 50:

1.05c -0.95c = 50

0.10c = 50 . . . . simplify

c = 500 . . . . . . . divide by 0.1

The cost price of the article is Rs 500.

Find two numbers the quotient is between . Then estimate quotient. 41 divided by 3

Answers

Answer:

13.6

Step-by-step explanation:

The quotient is the outcome of a division problem so it is what 41 divided by 3 equals. Which it equals 13.666 in short 13.6

The perimeter of a rectangular floor is 240 feet. Find the dimensions of the floor if the length is three times the width
The floor has a length of feet and a width of feet.

Answers

Answer:

length: 90 ft

width: 30 ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.

The floor has a length of 90 feet and a width of 30 feet.

Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many hundredths would there be in each of the division groups? Ο Α. 1 O B. 2. O C. 5

Answers

Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.

The number of hundredths in each division set is D. 9

Reasons:

The given Hunter's model consists of the following

One 10 × 10 number block

Four sets of a column of 10 cubes

Five individual cube pieces

Therefore;

In 1.45, we have;

1 unit

4 tenths

5 hundredths

Which gives;

Each single cube can be used to represent a hundredth in 0.05

One cube = 0.01

Each set of 10 cubes represents a tenth in 0.4

Each block of 10 by 10 can be used to represent the unit; 1

Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each

The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08

The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.

Therefore;

The value of each division set is 0.2 + 0.08 + 0.01 = 0.29

The number of hundredths in 0.29 = 9

The number of hundredths in each division set is therefore; D. 9

Learn more about number place value here:

https://brainly.com/question/184672

find the answer
fast

Answers

Answer:

i) 5y

Ii) 5y-3

iii) 5y×6

Iv)

If sara’s age is y...
1. In five years, she’ll be y + 5
2. Three years ago, she was y - 3
3. If her grandpa is 6 times her age, then he’s 6y, aka 6 times y

4. If her grandpa is 6y, and her grandma is two years younger than her grandpa, then her grandma is 6y- 2
5. If sara’s dad is five years more than three times her age, it will be sara’s age, y, times three and then plus 5, aka 3y+ 5

5) Write the missing numbers to find the
quotient of 782 = 17. So that 782 = 17 = 46

Answers

Answer:

quotient term: 6

dividend term: 102

Step-by-step explanation:

[tex]\dfrac{782}{17}=\dfrac{680+102}{17}=\dfrac{680}{17}+\dfrac{\boxed{102}}{17}=40 +\boxed{6} = 46[/tex]

30 POINTS!!!! SOMEONE PLEASE HELP ME!!!

Answers

Answer:

60 nickels

Step-by-step explanation:

When a ratio between coins is given, I like to consider the problem in terms of groups of coins. Here, each group would consist of 1 nickel and 0.20 quarters. The value of that group is

5¢ +0.20×25¢ = 10¢

Then the number of groups is ...

(total value)/(value of 1 group) = number of groups

600¢/10¢ = 60

Since each group has 1 nickel, there are 60 nickels.

Check

60 nickels + 12 quarters = $3.00 +3.00 = $6.00

_____

Additional comment

If you want to see this with equations and variables, you can do this.

Let n and q represent the numbers of nickels and quarters, respectively. The given relations are ...

0.05n +0.25q = 6.00

q = 0.20n

Substituting for q in the first equation gives ...

0.05n +(0.25)(0.20n) = 6.00

Simplifying gives ...

0.10n = 6.00

n = 6.00/0.10 = 60

PLEASE HELP
no linkss

Answers

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

From least to greatest it is -5.2, -4.75, -9/2

Determine the slope from the given graph below:

A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6

Answers

Step-by-step explanation:

although there is no graph visible here, I suspect this is the same question as I just answered twice already.

the slope is -6.

D is the right answer.

help plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

ang hirap naman plss answee

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

Answers

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?

Answers

Answer:

x=1

Step-by-step explanation:

If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.

x+8=9x

8=8x

x=1

pls help me
I am giving brainliest

Answers

Solution

1/49 x (441x^2 - 16)

Answer is 1/49 x (21x - 4) x (21x + 4)

Which of the following is equal to 7 1/4?

Answers

Answer:

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER

Answers

Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

The product is more likely to last is mathematically given as

Product 1

What product is more likely to last?

Question Parameter(s):

Product 1 had 950 out of 1,000 test

Product 2 had 150 out of 200 test

Generally, the equation for the percentage success is mathematically given as

Product 1 950 / 1000 = 95/100 x 100 = 95%

Product 2 150/200 = 75/100 x 100 = 75%

In conclusion, the product is more likely to last is

Product 1

Answers

Answer:

the length of the rectangle is 13 ft.

Step-by-step explanation:

width of a rectangle x ft

length of a rectangle x+6 ft

the perimeter of the rectangle is 40 ft,

2(x+x+6) = 40

2x+6 = 20

2x = 14

x = 7

So the length of the rectangle is x+6 = 7+6 = 13 ft

congrats you're right (≧▽≦)!!

Answer:

The correct answer ia A)13 ft

Step-by-step explanation:

hope this helps

Which of the following tables represents a function?

A) x 1 −1 4 −4
y 8 8 10 10

B) x 2 2 3 3
y 6 −6 7 7

C) x 5 −5 5 −5
y 10 11 12 13

D) x 2 2 7 7
y 2 3 4 5

Answers

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.

We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.

Hence the only table that represents a function is table A

Learn more on tables and functions here: https://brainly.com/question/3632175

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