6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?

Answers

Answer 1

Answer:

c

Step-by-step explanation:


Related Questions

Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket

Answers

Answer:

$14

Step-by-step explanation:

The difference of sales between the first and the second days is the cost of 85 tickets:

2310 - 1120 = 1190

Cost of a ticket:

1190/85 = 14

Find the slope of these two points that's the cost

(0,1120)(85,2310)

Slope

m=2320-1120/85-0m=14

Part 1: Celebration!
You and three friends will be going out to eat at your favorite restaurant!

Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?

Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:

Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:

What is the total cost of the entire bill (all four meals), including tip?


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

Answers

Answer: All four friends would have to share paying the tip and the total so all of them would pay 1/4 of the bill and 1/4 of the tip

Step-by-step explanation: divide the bill and tip between the 4 friends and you get 1/4 which is how much of the bill and tip that all you and the friends have to pay

Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?

Answers

Answer:

y = kxz

Step-by-step explanation:

(Find K)

20 = k(4) (3)

20/12 = k

k = 5/3

(Find Y)

y = (5/3)(2)(3)

y = 10

I hope this helps.

HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM

Answers

Answer:

-13

Step-by-step explanation:

2(-2)-3(3)=

-4-9=

-13

THE ANSWER IS -13
Because a minus x a positive is a minus and a positive x a positive is a positive

The emotional atmoshere a reader sences in a poem or story is referred toas its

Answers

It would be mood. I hope this helps.

In the equation y=14x what is the constant of proportionality.

Answers

14

Step by step explanation:

Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?

Answers

Answer:

Buy from Tickets Inc.

Step-by-step explanation:

Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!

Answers

Answer:

1 is 13

2 is 13

3 is -7

4 is 7

Step-by-step explanation:

Given that ∠3≅∠5 .

Which theorem proves that d∥e?


alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem

Answers

alternate interior angles theorem

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

From the given figure ∠3≅∠5.

What are alternate angles?

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

From the given figure, 46° + ∠3 =180°

⇒ ∠3 =134°

∠3 = ∠5 =134° (alternate interior angles)

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

https://brainly.com/question/28380652.

#SPJ2

the angle bisectors of a triangle intersect at the

Answers

Answer:

The incenter

Step-by-step explanation:

The three angle bisectors of the angles of a triangle meet in a single point, called the incenter

If y + 6 = 45, then y = 39

Answers

Answer:

True!

Step-by-step explanation:

30/x = 54/81 what value does x have to be to make it true

Answers

Answer:

x=45

Step-by-step explanation:

30/x = 54/81

30 = 54/81(x)

x = 30 ÷ 54/81

x=45

Answer:

x = 45

Step-by-step explanation:

30/x = 54/81

~Cross multiply

30 * 81 = 54 * x

~Simplify

2430 = 54x

~Divide 54 to both sides

45 = x

Best of Luck!

Answer these questions

Answers

Answer:

y = 5

Step-by-step explanation:

first you subtract 5y from itself and from 7y

then you'll get: 2y + 2 < 12

then subtract the 2 from itself and from the 12

that will give you: 2y < 10

then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2

that'll give you y = 5

how long is the Yangtze river

Answers

Answer:

3,915 mi

Step-by-step explanation:

Hello can someone pls help me with this

Answers

Answer:

simple y=5x

Step-by-step explanation:

This is because y and x are the same because anything times 0 is 0 and when x becomes 1, 1*5=5 and that continues the chain

please help im failing

Answers

Statement

∠1 = ∠2

Reason(1): l║m, Corresponding angles are congruent

Reason(2): Corresponding angles are congruent (Postulate)

Hope this can help

We have to prove how j||k?

As <1=<2 Theya are opposite interior angles .<1 and <4 are corresponding angles so they are equal .

Hence

J||K Proved

Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answers

Answer:

x = 7, y = 8

Step-by-step explanation:

Given numbers in order:

4, 6, x, y, 10

The mean is same as median.

The median is x as middle number. Since x is a whole number, the mean is also a whole number.

x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).

The mean is:

(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5

It should be a whole number, so (x + y) should be divisible by 5.

The option is (7 + 8) = 15, and 9 is excluded.

Let's verify:

Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7
4,6,x,y,10

Mean:-

[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]

Median:-

n=5M(D)=n+1/2=5+1/2=3rd term

[tex]\\ \sf\longmapsto M(D)=x[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]

[tex]\\ \sf\longmapsto x+y+20=5x[/tex]

[tex]\\ \sf\longmapsto 4x=y+20[/tex]

[tex]\\ \sf\longmapsto x=y/4+5[/tex]

[tex]\\ \sf\longmapsto x[/tex]

Take pair of (7,8)

[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]

Verified

Hence

x=7y=8

A litter of puppies consists of black puppies and white puppies. A

puppy is randomly selected and removed from the litter. Then another

random selection is made from the remaining puppies.

Event A: The first

selection is a black

puppy.

Event B: The second

selection is a white

puppy.

Is A dependent on B?

Answers

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

If you want to learn more, you can read:

https://brainly.com/question/12138717

Graph this inequality:
y ≤ 1/4x

Answers

Graph this inequality:

|3x - 5| = |6x - 1|

Answers

Answer:

x = -4/3

Step-by-step explanation:

|3x - 5| = |6x - 1|

=> 3x - 5 = 6x - 1

=> 1 - 5 = 6x - 3x

=> -4 = 3x

=> x = -4/3

Hoped this helped.

Answer:

x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....

Step-by-step explanation:

3x - 5 = 6x - 1

Move the 3x to the other side by subtracting, because the 3x is positive on the left side.

-5 = 3x - 1

Move -1 to the other side by adding.

-4 = 3x

Divide by 3 to get x

[tex]\frac{-4}{3}[/tex] = x

Hope this helps! <3

Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.

Answers

Transformation involves changing the form of the function

The transformation that is not performed is (a) vertical shift

The function is given as:

[tex]\mathbf{y = cot(x)}[/tex]

From the complete question, the transformed function is:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

On y = cot(x); start by translating the function 2 units left.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]

So, we have:

[tex]\mathbf{y = cot(x + 2)}[/tex]

Next, stretch the function horizontally by a factor of 1/5

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]

So, we have:

[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]

Lastly, stretch the function vertically by a factor of 3

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

From the above transformations, we have:

Horizontal shift Vertical stretch Horizontal stretch

Hence, the transformation that is not performed is (a) vertical shift

Read more about transformations at:

https://brainly.com/question/13801312

Answer:

vertical shift

Step-by-step explanation:

edge

The fraction 7/12 is found between which pair of numbers on a number line?

Answers

Answer:

B

Step-by-step explanation:

[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]

Melissa is going shopping. She has no more than $55.00 to spend on new clothes. She wants to buy a pair of pants for $19.95 and some shirts that cost $9.50 each.

Which inequality can Melissa use to determine how many shirts, s, she can buy?


9.5s+19.95≤55

9.5s+19.95≥55

9.5s+19.95<55

9.5s+19.95>55

Answers

Answer:

A is the final answer the first option.

Answer:

The answer is (A) 9.5s + 19.95 ≤ 55

I took the K12 Test and got it correct!

Hope this helps!

100 people are asked if I drank two 7/10 10 years and 20% of people are you ​

Answers

a)
400
:yes=280 - yes= 56
- no= 224
:no=120

b) 7/50
apologies if wrong i can try again

look at screenshot if you answer correct I will mark brainliest help now.

Answers

Answer:

Step-by-step explanation:

point-slope form: y-y₁=m(x-x₁)

x₁= -5

y₁= 3

m= 5

y-3=5(x+5)

Please help me with this homework …

Answers

The answer will be C

if 4 friends have 8 apples how many will each friend get

Answers

2 because 8 divided by 4 is 2.

Answer:

2

Step-by-step explanation:

8/4 is 2

i need help on this last question

Answers

Mag aral ka Magdasal kamatulog ka ng maaga wag mong pagka alagaanbsari mo Kasi responsibilidad ko yun

Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A

Cho hàm số y = (m + 1)x + 3 có đồ thị là đường thẳng d1 và y = 2x - m
có đồ thị là đường thẳng d2
a) (1,5 đ) Tìm giá trị m để d1 song song với d2.
b) (1,5 đ) Với giá trị m tìm được ở câu a, vẽ đồ thị 2 hàm số trên cùng một mặt
phẳng tọa độ.
c) (0,5 đ) Tìm khoảng cách giữa hai đường thẳng trong câu b

Answers

Answer:

What language is this

Step-by-step explanation:

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