Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What percent of day care costs are more than ​$8600 ​annually?

Answers

Answer 1

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex]

[tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%


Related Questions

Line /has a what slope.
1.negative
2.0
3.positive
4.undefined

Answers

positive because it’s going upwards towards the right.

a
It takes 15 minutes to drain a pool containing
45 gallons of water. If a similar pool takes 35
minutes to drain at the same rate, how many
gallons of water are in the similar pool?

Answers

Answer:

there is 92.25

Step-by-step explanation:

15x2=30

then you have to find out 5% out of 45 because you need to get 35 not 30.

Ezekiel manages a clothing store. In May, sales were $129,800. In June, sales were $131,975. What was the rate of change?

Answers

The rate of change of the sles of the clothing store that Ezekiel manages from May to June is $2,175

What is the rate of change?

Subtraction is the mathematical operation that involves determining the difference between two or more numbers.

Rate of change = sales in June - sales in May

$131,975 -  $129,800 = $2,175

To learn more about subtraction, please check: https://brainly.com/question/854115

#SPJ1

PLS HELP ME I NEED AN A I GIVE 50 POINTS

Answers

Answer:

The one on the left shows a proportional relationship between x and y.

Step-by-step explanation:

equation your going to use = y ÷ x or y/x (both mean divide)

2÷4 = 0.5

5÷10 = 0.5

6÷12= 0.5

All have the same answers so that makes it a proportional relationship.

23) A movie theatre has 900 seats of which 15% are in the balcony. How many seats are NOT in the balcony?
A.
765
B.
90
C.
785
D.
875

Answers

Answer:

A.765 seats are not in the balcony

Step-by-step explanation:

if 15% are in the balcony then 85% are not in the balcony so..

900 * 0.85 = 765

Answer:

765

Step-by-step explanation:

900*.15=135

900-135 = 765

50PTS Consider this equation .sin(0) = 4 If is an angle in quadrant II, what is the value of ? A. B. C. D.

Answers

Answer:

A.

[tex] - \frac{ \sqrt{377} }{29} [/tex]

Rewrite as a single logarithm: 3 log b x+4 log b y​

Answers

Answer:

log_b x^3y^4

Step-by-step explanation:

see image


A tissue box shaped like a cube, has a volume of about 90 cubic inches. What is the approximate length of one side of the tissue box?

Answers

The approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

What is of volume of cube?

Volume of cube is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cube can be given as,

[tex]V=a^3[/tex]

Here, (a) is the side of the cube.

A tissue box, shaped like a cube, has a volume of about 90 cubic inches. Put the value of volume in above formula,

[tex]90=a^3\\a^3=90\\a=\sqrt[3]{90}\\a=4.48\\a\approx 4.5\rm\; in[/tex]

Thus, the approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

Learn more about the volume of cube here;

https://brainly.com/question/3390425

#SPJ1

3) Solve the equation for x.
10(4x + 4) = 400
A) 2
B) 4
C) 9
D) 18

Answers

Answer:

C) 9

Step-by-step explanation:

10(4x + 4) = 400

40x + 40 = 400

40x = 360

x = 9

Answer:

First factor out the expression

(10•4x)+(10•4)=400

40x+40=400

Then solve

40x+40=400

-40 = -40

40x=360

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

40 40

x=9

C) 9

☆anvipatel77☆

•Expert•

Brainly Community Contributor

will pay the first one that answers this question

Answers

Answer:

a. I

b. II

c. IV

A standard number cube is tossed. Find P( greater than 3 or odd).

Answers

Answer:

Step-by-step explanation:

P= probablity

P (>3  or odd)  

assuming this std.  number cube is 1 to 6, then,

greater than 3 is 50%

so  we've accounted for   1, 3, 4, 5, 6 on the dice what's left  2  :D

so P( >3 or odd) = 5/6  or  83.3333333333333%

Answergrater than 3

Step-by-step explanation:

Help me with this math problem please

Answers

Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

A person has a bag containing quarters and dimes. There are a total of 61 coins in the bag, and the total value of the coins is $10.45.

Answers

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950

What number to be added to each of the number 6,16,36 and 76 to be in proportion?​

Answers

Answer:

[tex] \pink{ \pmb{SOLUTION:-}}[/tex]

Here,

Let x must be added.

[tex]\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }[/tex]

[tex](6 + x)(76 + x) = (36 + x)(16 + x)[/tex]

[tex]456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} [/tex]

[tex]82x + 456 = 576 + 52x[/tex]

[tex]82x - 52x = 576 - 456[/tex]

[tex]30x = 120[/tex]

[tex]\displaystyle{x = \frac{120}{30} }[/tex]

[tex]{ \rightarrow{ \pmb{x = 4}}}[/tex]

Please see attached photo for problem from my homework set.

Answers

Answer: (x - 1)(x - 23)

Step-by-step explanation:

    First, we can factor the x² part:

(x)(x)

    Next, we will look at the -24x and +23

-> We need two numbers that multiply to 23 and add to -24

-> 23 is a prime number, so we will use 1 and 23

    For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.

    This gives us a final answer of:

(x - 1)(x - 23)

Answer: (x - 1)(x - 23)

Step-by-step explanation:

attached the picture below of the working...

hope that helps...

In the figure below, AD and EC intersect at point G, mAGB = 35°, and mAGE = 69°
What is mBGC?
A.
111°
B.
145°
C.
76°
D.
104°

Answers

mBGD = 69° because of the rule of vertical angles
Since we know AD is a line, which equals 180, add 180-69+35=76
The answer is C

Answer:

The correct answer is C.76.

Hope this helps you!!

Please Mark me Brainleast Czn!!!!!!!!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

e

is congruent with x f is congruent with x and g is congruent with y Step-by-step explanation:

angle E = angle X

angle F = angle Y

angle G = angle Z

hope it helps...!!!

Factor the binomial.
4z2 − 25
4z2 − 25 =

Answers

[tex]4z^2-25\\\\=(2z)^2-5^2\\\\=(2z+5)(2z-5)[/tex]

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 14 feet by 24 feet. What will the dimensions on the blueprint be?
A.
105 inches by 180 inches
B.
21.5 inches by 31.5 inches
C.
6.5 inches by 16.5 inches
D.
1.87 inches by 3.2 inches

Answers

Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.

For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2

The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.

. If you have a cube measuring 1 unit on
each side, how many of those cubes
would fit into a space 5 units by 5 units
by 5 units?

Answers

Answer:

cubes = (5)(5)(5)

number of cubes =125

to fit

Efficiently solve

A. 30x70+37x70
B. 335x11-135x11
C. 223x87-123x87
D. 3.2x120+16.8x120
E. 555x0.08-545x0.08
F. 3.45x17-1.45x17
G. 0.7x0.7x85

Thanks so Much if you Help me!

Answers

Answer:

Step-by-step explanation:

A. 2100+2590= 4,690

B. 3685-1485=2,200

C. 19,401-10,701= 8,700

D. 384+2,016=2,400

E. 44.4-43.6=0.8

F. 58.65-24.65=34

G. 41.65

A. 2100+2590=4,690
B. 3685-1485=2,200
C. 19,401-10,701=8,700
D.384+2,016=2,400
E.44.4-43.6=0.8
F.58.65-24.65=34
G.41.65

one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did the store sell in one day

Answers

Answer:

items sold in 1 day = 140

Step-by-step explanation:

14 pairs of jeans = 28 jeans total

the 14 "pair of jeans" repesents 20% of the total = x

28 = 20x/100

2800/20 = x

x = 140

What is the probability of landing on an odd number and then landing on a number greater than 7?

Answers

Answer:

72%

Step-by-step explanation:

Sophia invest money in an account paying simple interest. She invest 100$ and no money is added or removed from the investment. After one year, she has 108. What is the simple percent interest per year ?

Answers

Answer:

8%

Step-by-step explanation:

She earned 8 dollars on a 100 dollar investment

8/100 = 8%

The answer is  8%

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal as $100 and return as $108 and t=1

Thus 8=100×1×r /100

r=8%

Hence, The rate of interest is 8%

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ2

what is the product of mixed number 2 x 2 7/8?

Answers

Answer:

[tex]5\frac{3}{4}[/tex]

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

Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]

And for whole number, add a 1 as the denominator.

[tex]\frac{2}{1}[/tex]

Now, the equation becomes...

[tex]\frac{2~*~23}{1~*~8}[/tex]

[tex]2 * 23 = 46[/tex]

[tex]1 * 8 = 8[/tex]

Convert these two numbers to a fraction.

[tex]46~and~8~-- > ~\frac{46}{8}[/tex]

Simplify 46 over 8 and make it a mixed number.

[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]

why is the denominator 4? we had to simplify 8 using its GCF along with 46

the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.

[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]

now you have [tex]\frac{23}{4}[/tex]

and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]

________________________________________________________

Questions?

Ask in comments.

In the equation 4x4=16, 4 is a:

Answers

Answer:

4 is a factor

Step-by-step explanation:

thats what a number being multiplied is called

Susan made $550 baby sitting during the summer. She made $256 helping her grandmother working on the farm She spent $175 on a new dress. Which number sentence could be used to find how much money Susan had left?

1. $550 - $256 + $75
2. $550 - $256 - $75
3. $550 + $256 + $75
4. $550 + $256 + $75

Answers

none of these. it would be $550 + $256 - $175 which would equal $631

If a marble is randomly chosen from a bag thay contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will not be white?

Answers

Answer: 7/10

Step-by-step explanation:

The probability of an event can be calculated as:

[tex]P(E)=\frac{n(F)}{n(T)}[/tex]

Where n(F) is favorable outcomes and n(T) is total possible outcomes.

The total number of marbles can be obtained as,

8 + 6 + 6 = 20

The probability of marble being white can be calculated as,

[tex]P(W)=\underline{\frac{6}{20}}[/tex]

Now, the probability of the marble not being white can be evaluated as,

[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]

Therefore, the probability of the marble not being white is 7/10

rewrite each equation in exponential form. log 100=2

Answers

Answer:

10x^{2} = 100

Step-by-step explanation:

Use the definition of a logarithm, logb(x)=y ⟹ by=x, to convert from the logarithmic form to the exponential form.

Hopefully this helps you

- Matthew

lisa rides her bike 15.25 miles to and from her job each week. How many miles does she bike in all to and from work in 19.5 weeks?

Answers

Answer:

297.375 miles

Step-by-step explanation:

Since lisa rides 15.25 miles in 1 week and we are looking for how many miles she rides in 19.5 weeks, we must multiple 15.25 miles by 19.5 because she rides 15.25 miles, 19.5 times.

15.25*19.5=297.375

Other Questions
Which is the closest synonym for the word arrayA.uniformityB.varietyC.lackD.remainder At which point is air pressure lowest? The image shows a representation of mountains of various heights, numbered 1, 2, and 3. The plain is labeled number 4. 0 1 2. 03 4 1 2 3 You discover that your smartphones software has been updated. A. form utility B. time utilityC. place utilityD. possession utility Nancy purchased from bed sheets for $36 they were on sale for 25% off what was the original price of the bed sheets In which of the following areas were women discriminated against until the mid 1800's? why do war uniforms use buttons Please check my answer. :PWhat type of person would enjoy a career in education? A. someone who enjoys working by himself B. someone who enjoys working short hours and having summers off C. someone who loves to work with others and help them learn new things D. someone who is interested in advancing in his career field and becoming richThe answer I chose is C. "Someone who loves to work with others and help them learn new things." Please correct me if I'm wrong. Publication of the Christian Bible in vernacular languages was an important part of the Reformation. You should always arrive to an interview _____.a.late, to create an impressionb.on timec.with friends for supportd.none of the above After john brown was tried, convicted, and hanged, most northerners wanted the prison where he had been held closed. were relieved that he was dead. thought his actions caused violence to increase. considered him a hero. Does punctuation go inside or outside of parentheses. Lisa gave into peer pressure and consumed alcohol despite the fact that she was on sleeping pills. As a consequence, she lapsed into a coma. This phenomenon is referred to as Multiple Choice bipolar disorder potentiation. cyclothymic disorder. withdrawal. Which phase of the moon occurs after a waxing gibbous?. A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?. Where do the children go at the start of Chapter 4? a wrinkle in time Joey owns 32 ties. 3 over 8 of the ties are red. 1 half of the red ties have stripes. How many of the ties are red and have stripes? PLEASE HELPPPPPPPPPPhil wants to find out who won the World Series in 1919. Where should he look? A. dictionary B. encyclopedia C. almanac D. atlas I need help Point reward is 70!! In what order should the options appear so as to correctly reflect the order of clomiphene's mechanism of action Im confused when it comes to chem Steam Workshop Downloader