1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police officer writes in a week is normally distributed, what is the probability that an officer writes more than 60 tickets in a week?​

Answers

Answer 1

Answer:

3/5

Step-by-step explanation:


Related Questions

Ashley saves $32 from her weekly paycheck for her college education. This is 1/5 of her weekly salary. Write an equation to find out how much does she earn each week?

Answers

Answer: 32 divided by 1/5

Step-by-step explanation:

.2 = 1/5

32/.2 = 160

160 x .2 = 32

Express Tan x as function of sin only

Answers

Answer:

Tan x = sin x / √[1 - sin²θ]

Step-by-step explanation:

We know that;

Tanx = Sinx / cosx

Squaring both side

Tan²x = Sin²x / cos²x

[cos²θ = 1 - sin²θ]

So,

Tan²x = Sin²x / [1 - sin²θ]

Taking root both side

Tan x = sin x / √[1 - sin²θ]

What is the value of x?

Answers

Answer:

98%

Step-by-step explanation:

Classify the following triangle. Check all that apply.
98
419
O A. isosceles
I B. scalene
C. obtuse
U
D. equilateral
I E. acute
F. right

Answers

Answer:

obtuse and isosceles

angle greater than 90° and 2 equal sides

1. -2- 3x + 2x + 5x + 4
Does Someone know how to do the work for this question?! Need ASAP

Answers

Hopefully you get it right :)

Answer:

5x^3-x+2

Step-by-step explanation:

We rearrange the formula grouping x together but preserving subtraction and start numbers from left.

- 2 -3x + 2x + 5x^3  +4

= -2+4  

= 2

-3x +2x = -1x = -x

= 5x^3 +2 - x

= 5x^3 -x  + 2

We cannot distribute unless we had the given values for x

if x = 1 and we were told this, then the equation would be set to zero +2 as you would be left with x^3 = 1  and x = 1 and 1-1 = 0

Then you would just need to apply +2 = 2.

But in standard form we leave the amounts 5x^3 -x +2

A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.


The base of the ladder needs to be positioned ______
feet out from the building.

Answers

Answer:

34 times 70

Step-by-step explanation:

find the following quotient. when appropriate, round your answer to the nearest hundredth Divide 0 by 12

Answers

Answer: 0/12 would be 0; 12/0 would be undefined

Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.

What is the solution of the equation below?


− 34.1 = 44.5


Group of answer choices


m = 10.4


m = 14.4


m = 70.6


m = 78.6

Answers

Answer:

Add 34.1 to both sides of the equation and get m=78.6

its m = 70.6 (ur welcomeee))

Is there enough information shown on the triangles to say that the
two triangles are congruent?
(A) No. All three angles must be congruent to one another or the
two triangles aren't congruent.
(B) No. The corresponding angles aren't congruent, which means
that the triangles aren't congruent.
(C) Yes. All pairs of corresponding angles are congruent; therefore,
the two triangles are congruent.
(D) No. The corresponding pairs of sides must also be marked
congruent to determine that the triangles are congruent.

Answers

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

SSSASAAAS (or SAA)SASHLLL

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

Subtract: (3x + 5y - 4) -(4x + 11)

Answers

Answer:Hello, I am going to Simplify the expression.And I got the answer  − x + 5 y − 15down below I will explain!First thing comes first is to : DistributeSecond thing you do : Eliminate redundant parenthesesThe third thing you do : Subtract the numbersThe fourth thing you do : Combine like termsAnd then we get to the last principal FIND THE SOLUTION!!!and we get − x + 5 y − 15Hope this helps!

The measure of this angle is 151. What is the measure of its supplementary angle

Answers

Answer:

180-151 = 29 degrees

this is the right answer

Math work questions help

Answers

well maybe we could help if u show what the question is

Alex has 6,000 grams of jelly beans. He is filling boxes that each hold 2 kilograms of jelly beans and selling the boxes for $9.95. How much money will he make from selling the boxes?

Answers

Answer:

29.85

Step-by-step explanation:

since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.

Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27.

Answers

Answer:

27

Step-by-step explanation:

A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?​

Answers

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]

where n is the number of years.

Average cost per litre of diesel  =  [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]

                                                     = [tex]\frac{24}{3}[/tex]

                                                     = 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.

how long would the toy car be?...

Answers

Answer:

6.37 cm.

Step-by-step explanation:

Since Hot Wheels uses a scale ratio of 1:64 (1 cm to scale = 64 cm actual) for their toys, knowing that the actual length of a VW Beetle is 160.6 inches, to determine the length of the toy car is you must perform the following calculation:

1 inch = 2.54 cm

(160.6 x 2.54) / 64 = X

407.924 / 64 = X

6.373 = X

Therefore, the size of the toy car will be 6.37 cm long.

Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?

A. 120
B.125
C.130
D.115

Answers

Answer:

C

Step-by-step explanation:

an exterior angle is supplementary to the adjacent interior angle.

So 180 - 55 = 125

180 - 65 = 115

The third angle of your triangle is 180 - 55 - 65 = 60

180 - 60 = 120

C is the only value that cannot be the measure of an exterior angle.

The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?


The height of the building is ft


(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer:

the answer would be 13.75 feet

Step-by-step explanation:

The computation of the tall is the building as follows:

Given that

Base is 6 foot

And, the hypotheses is 15 feet

Here we use the Pythagoras theorem

= √15^2 - √6^2

= √225 - √36

= √189

= 13.75 feet

Hence the answer would be 13.75 feet

The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another. how to analyze and what the process you will use Please express to the nearest whole number how many of the patients on average per day do not have insurance, and thus, pay cash price for their visits.

Answers

Answer:

5.6 patients

Step-by-step explanation:

Given

[tex]Average = 22.4[/tex]

[tex]Insurance = \frac{3}{4}[/tex]

Required

How many do not have insurance (average)

First, calculatet he fraction of those without insurance (x).

[tex]x = 1 - Insurance[/tex]

Substitute value for Insurance

[tex]x = 1 - \frac{3}{4}[/tex]

[tex]x = \frac{1}{4}[/tex]

The number of visits is:

[tex]Visits =x * Average[/tex]

[tex]Visits = \frac{1}{4} * 22.4[/tex]

[tex]Visits = 5.6[/tex]

X 1. Solve the equation
Atun
(x + 2) = 20

Answers

Answer:

hi

Step-by-step explanation:

Answer:

18 ?

Step-by-step explanation: What is Atun ?

Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.

Answers

Answer:

f(3)=56, f(-4)=277

Step-by-step explanation:

f(x)=x^4-8x-11

f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56

f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277

Answer:

227

Step-by-step explanation:

Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle

Answers

Answer:

small rectangle sides are 7.5 and 6

Step-by-step explanation:

Large rectangle perimeter=30+30+24+24=108

Small rectangle perimeter=27

27 is one fourth of 108 so:

small rectangle sides are 30/4 and 24/4

small rectangle sides are 7.5 and 6

Answer:

i have no clue

Step-by-step explanation:

it is really hard and i need help with it myself

find the slope of the line passing through the points (7,-6) and (-7,-6)​

Answers

Answer:

1.1667

Step-by-step explanation:

Slope = change in y / change in x

Slope  = (-6 - -6) / (-7 - 7)

Slope = 0/-14

Because the change in y is 0 the slope would be 0

Slope = 0

6x-1 + 4X+21 = 50 solve for x

Answers

Answer:

x=3


Explanation:

First what you do is move x to one side and the rest of the numbers to another while changing the sign from + to - or - to + like this
6x+4x= 1+-21+50

Then you do the equation on 1 side
6x+4x=30

And then the other but add them like x is not there
10x=30
Your final result should be
X=3

Answer:

x = 3

Step-by-step explanation:

First you want to add the numbers.

6x - 1 + 4x + 21 = 50

6x + 20 + 4x = 50

Then you want to combine like terms

6x + 20 + 4x = 50

10x + 20 = 50

Then subtract 20 from BOTH sides of the equation

10x + 20 = 50

10x + 20 - 20 = 50 - 20

After, simplify.

10x = 30

Then divide BOTH sides of the equation by the same term

10x / 10  = 30 / 10

Simplify ..

x = 3

And your answer is going to be x = 3! Hope this helps! :)

In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person

Answers

1/10 because amongst 10 balls there is only one 10th ball there by making only one possible chance of getting ball no 10

Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)

Answers

Answer:

3(4a−5b+2)

Step-by-step explanation:

The answer should have originally been 3(4a-5b+2)

3(4a+5b+3)= 12a+15b+9 which is incorrect.

Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?

The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to

Answers

Answer:

greater than or equal to

Answer:

the above answer is correct, it is greater than or equal to

Step-by-step explanation:

Q. Abby lives in a home worth $115,000. She has a mortgage of $98,000. she owes $5,200 on her car that is worth $11,000. she has a credit card balance of $2,300. she also has a checking account with a balance of $900 and $300 in gift cards. What is Abby's net worth?


A. 127,200

B. 105,500

C. 232,700

D. 21,700

Answers

I think it’s b?bbbbb

[10 • 32 - 3] + 10 I need help nowww!

Answers

Answer:

Its 327!

Step-by-step explanation:

[10x32-3]+10 10x32=320 320-3=317 317+10=327

Answer:

327

Step-by-step explanation:

PEMDAS - parenthesis exponent multiply divide add subtract, the order to solve.

solve the parenthesis first, inside the parenthesis do the multiplication 1st so 10 times 32 which = 320. then subtract 3 = 317. then, lastly, add the 10 to get 327.

Can anyone tell me if this is right? Multiple choice!

Answers

Answer:

yes its correct

Step-by-step explanation:

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