Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.

Answers

Answer 1

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Find out more on Z score at: https://brainly.com/question/25638875


Related Questions

(88)(√75)
HELP ASAP....​

Answers

Answer:

sqr75=sqr25*sqr3=5*sqr3

88(5*sqr3)

decimal = 762.10235533

Answer:

4403

Step-by-step explanation:

Given:

88√75

Solution:

88•√(5^2 * 3)

Rewrite the expression as:

88•(5√3)

Multiply 88 into 5:

440√3762.102 ( 3 decimal place )

A fabric store sells close-out fabrics for $2.14 a yard. A customer buys 8 yards of fabric. How much does the customer pay for the fabric? Show your work.​

Answers

Answer:

$17.12

Step-by-step explanation:

2.14 · 8 = 17.12

Litter cleanup volunteers form 4 groups containing v volunteers
each. Then 10 more volunteers show up. The volunteers regroup
into 5 groups each containing 6 people. How many volunteers
were in each original group? Write an ALGEBRAIC EQUATION and solve to answer the question.

Answers

mom will let you know

Step-by-step explanation:

shes gone

A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing

Answers

Answer:

≈ 92.821 m

Step-by-step explanation:

For a geometric series with initial value a and rate r, the sum after n terms can be represented by

a*(1-r^n)/(1-r)

Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get

10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m

whats b + 29 + 12b + 5b² if b = -3​

Answers

Answer:

215

Step-by-step explanation:

-3+29+12(-3)+5(-3)[tex]^{2}[/tex]

When a guy says he cheated just to let the world know what does he mean?

Answers

that he doesnt deserve you

Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?​

Answers

The cost of the length of wood Marco buys depends on the price of the wood.

The total cost in dollars of Marco's board is $15

Reasons:

The length of the wooden board Marco buys (quantity) = 12 feet

The cost of the board per foot, including tax (price) = $1.25

Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;

Cost per foot, C₁ = 1.25 = y + x·y

The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;

Cost = Price × Quantity

The cost of 12 feet of the wood is therefore;

Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15

The cost of 12 feet of wood = $15

Learn more about proportions here:

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If16 = x/20, then x=

Answers

Answer:

320

Step-by-step explanation:

16 × 20 = 320

To double check it, we insert 320 into the equation:

320 ÷ 20 = 16

Twenty young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. The
equation for the line of best fit for the data is y=-315.67x + 8986.5 and the correlation coefficient is-0.951.
Select all the statements that are true based on the scatter plot and line of best-fit equation
4,000
3,500
...
3,000
2.500
,,
2,000
1,500
1,000
18
19 20
21 22 23 24 25
D. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be on average, about $315
less than the cost of a car insurance policy for a 20-year-old.
06 The y-intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be 50 for a person who
is about 8,987 years old.
OcEvery 19-year-old in this group has a lower cost of car insurance than the 18-year olds
Od
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
Car insurance policy cost tends to decrease as the age of the driver increases.
e

Answers

The statements that are true based on the scatter plot and the given equation of line of best-fit are:

In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315  less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.

Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.

This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.

The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.

Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:

In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315  less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.

Learn more about line of best fit on:

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HELP!!!! If you help me with this you’ll be my favorite person ever

Answers

Y= -1/4x+6 thereee youuu go !!

Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.

As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.

At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:

"I wisht they'd strike game somewheres, an' go away an' leave us alone."

"They do get on the nerves horrible," Henry sympathized.

They spoke no more until camp was made.

Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...

What is the purpose of this sentence in the story? (5 points)

It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.

A is as good an answer as you are likely to get, but I don't think it's right.

y=x^2 translate 4 units down and 3 units left

Answers

Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps.  :))

Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43

Answers

Minimum value = 12

Maximum value = 37

snumber of observations = 10 (even)

Median = Mean of middle most terms

Middle most terms = 22, 25

Median ={22+25}{2}=23.5222+25=23.5

Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?

Answers

Answer:

$28

20 plus 40 percent

that's the answer

I need help with this math problem

Answers

Step-by-step explanation:

that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?

it is zero, if just one of the 3 factors is 0.

and that would happen for

x = 0

x = -6

x = 1

so, A, D and E are correct.

Help on this algebra 2 question look at the pic. Is it’s A, B or C

Answers

Answer:

A is correct

Step-by-step explanation:

perimeter is twice the sum of the two adjacent sides

p = 2(x + (2x³ - 3x + 4))

p = 2(2x³ - 2x + 4)

p = 4x³ - 4x + 8

Choose B it is the correct answers for you thanks

There are 12 students in a class, and 7 of them will be chosen to go on a field trip. How many ways can
these students be chosen?

Answers

The highest grade report card

Answer:

So we will use combinations, as it does not matter what order they get chosen in.

The combinitoric that you will plug in to your calculator is: nCr(12,7)

Therefore, the answer is 792

Negative 4 squared + (5 minus 2) (negative 6)

Answers

Answer:

-2

Step-by-step explanation:

How do you solve this

Answers

Answer:

x > 3

Step-by-step explanation:

And then, I believe you just need to solve that answer. But I'm not sure tho

I don’t know the awnser :)

when rolling a die what is the probability of getting a number greater than 0​

Answers

Answer:

100%

Step-by-step explanation:

Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.

Graph the following inequality and then select the correct graph below x + 2 > 1

Answers

Answer:

The graph is attached below.

Step-by-step explanation:

First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.

This gives us x is greater than -1. So, we can graph:

what is 2 equivalent fractions of this 2/5=_=_

Answers

Answer:

4/10, 6/15, 120/300, etc.

Equivalent fractions can be anything, as long as they divide to .4 (2/5).

Basically any equivalent fraction

[tex]\frac{2*n}{5*n}[/tex]

with n as any integer, is an equivalent fraction to 2/5 since

[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]

Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288

Answers

Answer:

2x + 3x + 7x = 288

12x = 288

x = 24

The largest number is therefore 7 * 24 = 168

Step-by-step explanation:

ya this person is a bot be careful


charissa2

Answers

Be your self and always be kinda

Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1

Answers

Answer:

Gracias por los puntos

Bye :v

Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?

Answers

Answer:

6.4 ounces

Step-by-step explanation:

If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.

32 / 5 = 6.4

Answer: If there's a remainder, then it's 6 with a remainder of 2

If it's a decimal (depends on what grade your sister's in), it's 6.4

If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5

Step-by-step explanation:

32÷5=6r2, 6.4, or 6 2⁄5

Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)


(1, 3), (2, 5), (3, 7), (4, 9)


(1, 3), (1, 5), (1, 7), (1, 9)


(1, 3), (2, 3), (3, 3), (4, 3)

Answers

Answer:

No, Yes, No, Yes

Step-by-step explanation:

A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)

1.

List of inputs: 1, 2, 2, 7

List of outputs: 3, 5, 7, 9

For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function

2.

Inputs: 1, 2, 3, 4

Outputs: 3, 5, 7, 9

Each input only has one output, so this is a function

3.

Inputs: 1, 1, 1, 1

Outputs: 3, 5, 7, 9

For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function

4.

Inputs: 1, 2, 3, 4

Outputs: 3, 3, 3, 3

Each input is only mapped to one output, so this is a function

A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?

p=

Answers

Answer:

Step-by-step explanation:

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?

Answers

Answer:

$270

Step-by-step explanation:

130%/100%=$351/X

(351*100)/130=$270

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