The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$

Answer:

Answer: 1.05 x 10^ 0

Step-by-step explanation:

Scientific Notation

Evaluate the expression:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}[/tex]

Divide the coefficients, copy the base, and subtract the exponents:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle \frac{1.05}{1.00}\cdot 10^{3-3}[/tex]

Operating:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle 1.05\cdot 10^{0}[/tex]

Answer: 1.05 x 10^ 0

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

Answer:

The median would be $700.00 dollars

The mean would be $685.71 dollars

The mode would be $580.00 dollars

Step-by-step explanation:

    May I have brainiest please I'm trying to level up!

                    </3 PureBeauty

Answer:

/Its $700.000

Step-by-step explanation:

its the middle number

Answer: the elapsed time is 3 hours and 45 minutes, so option C.

Answer: 0.9132

Step-by-step explanation: PLATO

Answer:

Y= 3/4x - 4

Step-by-step explanation:

Hey there!

The answer to your question is y = 3/4x - 4

We have to solve for y:

3x - 4y - 16 = 0

3x - 4y = 16

-4y = -3x + 16

y = 3/4x - 4

Hope it helps and have an amazing day!

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Answer:

7 0

Step-by-step explanation:

The next two numbers of the series is 27.5 and 44.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The complete question is:

Mr. jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, .... taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44. which best explains which student is correct?

Given AP = -5.5, 11, ...

a = 5.5

d= 11 - (-5.5) =16.5

Now, a₃ = a₂ + d

a₃ = 11 + 16.5

a₃ = 27.5

and, a₄ = 27.5 + 16.5

a₄ = 44

Now, Taquan case:

a = -5.5

r = 110/-5.5

r = -2

now, a₃ = -2(11) = -22

a₄ = -2(-22) = 44

Learn more about AP here:

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Answer:

The Green Monster is a popular nickname for the 37-foot-2-inch-high (11.33 m) left field wall at Fenway Park, home to the Boston Red Sox baseball team. The wall is 310 feet (94 m) from home plate and is a popular target for right-handed hitters.

Step-by-step explanation:

Answer:

They would be the same dimensions so the weight should also be the same. For example if you have 3 rectangle boxes dimesions are 4 by 8, let's say the box weighs 32 pounds, then  the other two boxes will weigh the same amount too because it is the same dimensions. This is only true for if the same thing is inside each box of, course if there is a toy in one box, a 50- pound weight in the other box, and a steak in the last box, yeah all the boxes will weigh different.

Step-by-step explanation:

Answer:

34^23 (that is 34 to the 23 power)

Step-by-step explanation:

Do 3.4x10^23=34^23

Multiply the top by -2 and just cross elimination the rest. Hope this helps.

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. k - 5

2. 31g

3. b - 43

4. u - 36

5. 15r

6. 21/q

7. 7 + j or j + 7

8. 33/n

9. a + 23

10. 44m

11. c + 15

12. 10 -f

13. 39/e

14. k - 29

15. s - 38

16. v + 28

17. x - 11

18. y + 26

Answer:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

A population is an entire group of people, or of something, while a sample is a small number of observations from this group.

In this question:

The entire population is the measures drawn from the 52 points in the city's system.

In the entire system, the average is no more than 7 micrograms per deciliter. This is a value from the entire population, so this is a parameter.

To found the average of 5 micrograms, she took 7 of these measurements. So the 7 measurements are the sample and the average os 5 micrograms is a statistic.

So the correct matching is:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter

Answer:

216000 m^3

Step-by-step explanation:

Volume of water

= length of tank x width of tank x depth of water

= 90(60)(40) m^3

= 216000 m^3

Answer:

5.2

Step-by-step explanation:

I took the Quiz.

If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.

A fraction represents a part of a whole or, more generally, any number of equal parts.

Based on the given conditions formulate 1.25÷10=1+x

If the fraction is defined, the denominator cannot equal 0,x≠0

Append the inequality as the domain x≠0

Multiply both sides by the common denominator:

1.25×10x/10=10x/x

Reduce the fractions: 5x/4=10

5x=40

x=8

It is approximately near to 8.13 inches.

Hence, 8.13 inches high is the roof in the drawing.

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Answer:

Step-by-step explanation:

4:7::4x:7x

4x+7x=231

11x=231

x=231/11=21

women=7x=7×21=147

Answer:

10

Step-by-step explanation:

5×10= 50

6×10=60

8×10=80

so its going by ×10

Answer:

C/10

Step-by-step explanation:

k=y/x

10=50/5

Answer:

30

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.

I am joyous to assist you at any time.

Answer:

X=3 Y=-7

Step-by-step explanation:

You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x

Then substitute y in the bottom equation for the y solved in the top. So,

5x + 5(17-8x) = -20

Then solve for x

x=3

Now that we know x, plug it back into the equation for y

y = 17 - 8(3)

y = -7

So your solution is (3, -7)

Answer:

Step-by-step explanation:

40x + 5y = 85

-5x - 5y = 20

35x = 105

x= 3

15 + 5y = -20

5y = -35

y = -7

(3, -7)

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5k + (-7) = 13

Step 2: Solve for k

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Here we see that 13 does indeed equal 13.

∴ k = 4 is the solution to the equation.

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

5k+(-7)=13  Equation/Question

Step 2

5k+(-7)=13  Remove parenthesis

5k=20

Step 3

5k=20  Divide 5 from the sides             Check (5)(4)=20

answer

4

Answer:

45

Step-by-step explanation:

[tex]3(5)(2 \times 5 - 7) \\ 15(10 - 7) \\15 \times 3 = 45[/tex]

Answer:

9x-3-&r=7-X

Taking 7 to the left side of the equation,we have

9x-3-&r-7=-X

Multiplying through by -1 we have -1(9x-3-&r-7)=-1(-X)

which is -9x+3+&r+7=X

Therefore X= 7+&r+3-9x