The town of KnowWearSpatial, U.S.A. Operates a rubbish waste disposal facility that is overloaded if its 4749 households discard waste with weights having a mean that exceeds 27.21 lb/wk. For many different weeks, it is found that the samples of 4749 households have weights that are normally distributed with a mean of 26.86 lb and a standard deviation of 12.82 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 27.21) =

Answers

Answer 1

Answer:

0.48911

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score, = 27.21 Ib

μ is the population mean = 26.86 lb

σ is the population standard deviation. = 12.82 lb

z = 0.027301

Probability value from Z-Table:

P(x<27.21) = 0.51089

P(x>27.21) = 1 - P(x<27.21) = 0.48911

The proportion of weeks in which the waste disposal facility is overloaded is

0.48911


Related Questions


If Ill m, solve for x and y.
(7y - 20" (5x - 38)
(3x - 4)

Answers

Answer:

Solve for x = 17

Solve for y = 9

The value of x and y from the figure are 17 and 7 respectively

From the given diagram, we are told that  I ll m, hence:

5x - 38 = 3x - 4 (alternate interior angle)

Get the value of x

5x-3x = -4 + 38

2x = 34

x = 34/2

x = 17

Also from the triangle:

7y - 20 + 5x - 38 = 90

7y + 5x -58 = 90

7y + 5(17) = 90 + 58

7y + 85= 148

7y = 148 - 85

7y = 63

y = 63/7

y = 9

Hence the value of x and y from the figure are 17 and 7 respectively

Learn more here: https://brainly.com/question/14067960

Which trigonometric functions have the same maximum value?

Answers

This is a list of trigonometric functions with the same maximum value:

(A) y = arcsinx and y = cos x

What are trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

There are six popular trigonometric functions for an angle.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

So, the following equations give us the following maximum values:

arcsinx = -1 to 1

arccosx = -1 to 1

arctanx = -pi/2 to pi/2

arcsecx = ∞

Arcsinx and Arccosx are trigonometric functions that have the same maximum value.

Therefore, this is a list of trigonometric functions with the same maximum value:

(A) y = arcsinx and y = cos x

Know more about trigonometric functions here:

https://brainly.com/question/25618616

#SPJ1

Complete question:

Which trigonometric functions have the same maximum value?

A. y = arcsinx and y = arccosx

B. y = arcsinx and y = arctanx

C. y = arctanx and y = arcsecx

D> y = arccosx and y = arcsecx

The price of a gallon of apple cider is $7.00. The price
of eight 4.23 ounce juice boxes is $2.39.
Peter wants to have at least a gallon of either only cider
or only juice. Which product is the better deal?

Answers

Answer:

Apple Cider is the better deal.

Step-by-step explanation:

1 gallon is 128 ounces.

8 times 4.23 is 33.84. So each purchase is 33.84 ounces. If you multiply 33.84  ounces by 4 you get 135.36. (I did 4 because 3 would be too little to make a gallon).

After that you need to multiply 2.39 and 4. You need to do this because it will tell you the cost. That will come out to 9.56$.

So, that is why the apple cider is a better deal, because it is 7$ and the other would be 9.56$.

Hope this helps :-)

If Rindou has 20 apples and Ran has 48 apples,how old is Rindou’s dog ?

Answers

that can not be determined, considering we are only given information about the amount of apples Rindou and Ran have.

A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?

Answers

Answer:

Answer

5=$3.75

3.75÷5=.75 ($.75 per banana)

.75x2=T

T=$1.50

Step-by-step explanation:

Answer:

T= 0.75

Step-by-step explanation:

5=$3.75

3.75÷5=.75 ($.75 per banana)

.75x2=T

Z(y+8)-6(y+8) factor out the gcf

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

If one root of the equation x^2 + 5x + k = 0 is -2, what is the value of k?

Answers

Answer:

k = 6

Step-by-step explanation:

given x = - 2 is a root then substitute x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

- 6 + k = 0 ( add 6 to both sides )

k = 6

Answer:

k = 6

Step-by-step explanation:

since x = - 2 put x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

-6 + k = 0

+6        +6

k = 6

WILL GIVE BRAINLY PLEASE ANSWER THIS MATHEMATICAL QUESTION STEP BY STEP!!!!!!!
(-5 − 2) × (-3)

Answers

Answer:

-5-2 = -7 Step 1 from abaolute value quality

-7*(-3) =21 step 2 from absolute value quality

Answer:

24

Step-by-step explanation:

Start with parenthesis:

(-5 -3) x (-3)

-8 x -3

Then multiply:

-8 x -3 = 24

Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?

Answers

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(YW)=VZ.

This means 2(7s)=s+52, meaning s=4.

A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.

How many ounces of fertilizer should the landscaper apply?

Answers

Answer:

15 ounces

Step-by-step explanation:

0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:

[tex] \ \frac{1}{100} = \frac{x}{1500} [/tex]

Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.

3: find the missing side length of the similar shapes.

Answers

Answer:

21 ft

Step-by-step explanation:

the amount of times 12 goes into 18 is 1.5

this is also true for 18 to 27

so that means

when you multiply 14 to 1.5

you get what the ? is

14 * 1.5 = 21

is is 21 ft

What is the standard form of y+4=2x-5

Answers

2x-y=9 hope this helps :)

Lucy is going to walk in a fundraising event to raise money for her school band her mother has agreed to donate 7.50$ to the school for each mile Lucy walks plus an additional 25$ write an equation that represents y, the total amount of money Lucys mother will donate if she walks x miles during the event

Answers

25=7.50x              Lucy walked 3.333 miles

In the following number, which digit is in the ten thousand places?

7,253,917

A.2
B.5
C.3
D.9

Answers

Answer:

B. 5

Step-by-step explanation:

How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!

Answer: B. 5

Explanation:

Refer to the place value chart shown below.

The 5 is in the ten-thousands place value.

There's not much else I can add to that explanation, but feel free to ask any other questions you may have.

50082740 x 382039849 - 92894330 + 83022098 divided by 380209382- put it into a punnet square table grid with 3823u02938 and find u and find y and find x to equal 2098309823

Answers

I tried but I kinda forgot to make your hair shorter. I got a little carried away.

Solve for a:
9a-54=36

Answers

Answer:

a=10

Step-by-step explanation:

Step 1: Add 54 to both sides.

9a−54+54=36+54

9a=90

Step 2: Divide both sides by 9.

9a\9 =90\9

a=10

Answer:

a=10

Step-by-step explanation:

Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.

find the distance between the points (9, 8) and (9, 3)​

Answers

Answer: √

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

Substitute the actual values of the points into the distance formula.

(

9

9

)

2

+

(

3

8

)

2

Step-by-step explanati i hope you under stand

Pls Help Asap. Please, will mark BRAINLIEST

Answers

the base of the garden is 914.4cm (as 10yrds is 914.4cm)
the height of the garden is 365.76cm (as 4yrds is 365.76cm)
the length of the oatio is 731.53cm
the width is also 365.76cm

Answer:

[tex]30\ \ \ \ \ 12\ \ \ \ \ 24\ \ \ \ \ 12[/tex]

Step-by-step explanation:

[tex]Because\ Gerry\ makes\ a\ scale\ drawing\ of\ the\ backyard\ using\ a\ scale[/tex]
[tex]of\ 3\ contimeters\ to\ 1\ yard.\ .[/tex]
[tex]10\times3=30\ \left(Cm\right)[/tex]
[tex]4\times3=12(CM)[/tex]
[tex]8\times3=24\left(cm\right)[/tex]
[tex]4\times3=12.(GM)[/tex]               [tex]\left[Acconling\ to\ the\ information\ in\ the\ picture\right][/tex]

I hope this helps you:)


A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to navy beans? How many white and navy beans are in the jar?

Answers

White beans: 220
Navy beans:330

A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 46° and AB = 9.2.
Calculate the length of AC rounded to 3 SF.

Answers

Answer is: AC= 9.52

Adrianna has a piece of fabric in the shape of a parallelogram.

What is the area of this parallelogram?




32 in²

64 in²

96 in²

128 in²

Answers

96 in² I think

Make the triangles into a rectangle, find the area and add it to the original square

Answer: 96 in²

Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.

1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.

2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.

Clair grows berries. A flock of birds comes to her field every day and eats berries. Clair plays loud recordings of a different animal each day to scare the birds, but none have helped so far. One day Clair played a recording of loud eagle calls, and the birds never came to her field.
What could be inferred?

A. The flock ate berries from a different fleld.

B. The flock migrated south

C. The flock was scared away by the eagle calls.

D. The flock may have wanted to share the berries with the eagles.

E. The flock Is afraid of all loud animal calls.​

Answers

so for this question you need to look at what changed and what caused the change. the question states that the only real difference between when the flock of birds came and when they didn’t come was the loud eagle call (not any other loud animal), so it can be inferred that the eagle call scared the flock of birds away. so the answer is most likely c. hope this helps!!

Sarah wants to save for a car. She has $4,250 in a savings account earning 1.49%
compounded quarterly. If Sarah has four years until she gets her driver's license,
will she have enough to buy a car? If not, what do you recommend that she do to
reach her goal?

Answers

Given the amount Sarh has in her account, she would not have enough money to buy a car. I would advise she increases the amount of money in her account.

What is the future value of the money in her account?

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

$4250( 1 + 0.0149/4)^(4 x 4) = $4510.50

To learn more about future value, please check: https://brainly.com/question/18760477

A two-way frequency table shows grades for students in college and students in high school: high school college total gpa above 3.0 14 26 40 gpa below 3.0 46 14 60 60 40 100 based on this data, are "being in high school" and "gpa above 3.0" independent events? yes, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) yes, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0)

Answers

Based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.

What is conditional probability?

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A two-way frequency table shows grades for students in college and students in high school.

Let H represent being in high school and G represent the GPA above 3.0. To be an independent event, they must be,

[tex]P(H|G)=P(H)[/tex]

The conditional probability of event H, given that the G is occurred, can be calculated as,

[tex]P(H|G)=\dfrac{14}{40}\\P(H|G)=0.35[/tex]

Total students below 3.0 GPA are 60 and the total number of student are 100. Thus, the probability of being in high school is

[tex]P(H)=\dfrac{60}{100}\\P(H)=0.6[/tex]

Here, conditional probability [tex]P(H|G)[/tex] is not equal to the probability of being in high school.

Hence, based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.

Learn more about the probability here;

https://brainly.com/question/24756209

Can anyone help me with this?

Answers

Answer:

brrooo me too i hate bell work

Step-by-step explanation:

good luck tho

i’m honestly not sure about the answer but..
anything multiplied by zero would equal zero
so the value of q would be 0.

q=2(0)p
q=(0)p
q=0

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation).

A = {(1, 2) (2, 2) (3, 2) (4, 2)}

Answers

Answer:

Function

Step-by-step explanation:

Since each x value corresponds to a single y value

Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many university students were there?”

Answers

Answer:

8750

Explanation:

There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.

3500=2/5

divide 3500 by 2 to get 1/5 of the math teachers.

3550/2=1750

1750 is 1/5 of the math teachers.

multiply 1750 by 5 to get 5/5 of the math teachers

1750*5= 8750

5c+16.5=13.5+10c
solve for c

Answers

Answer:

c = 3/5

Step-by-step explanation:

5c+16.5=13.5+10c

Subtract 5c from both sides:

13.5+5c=16.5

5c=3

c = 3/5

5c-10c=13.5-16.5
-5c=-3
c=3/5

The radius of a circle is 4 inches. What is the circle's circumference?

Answers

Answer:

8π inches or approximately 25.12 inches

Step-by-step explanation:

What's the circumference of a circle?

 ❖ The circumference of a circle is the distance around a circle.

How do we find the circumference of a circle?

 ❖ The formula to find the circumference of a circle is 2πr, where r =    

      radius. We can solve in terms of pi, or approximate pi to 3.14

Solving

[tex]\pi * 4*2[/tex] [tex]\pi *8[/tex] 8π inches

or

[tex]3.14*4*2[/tex] [tex]3.14*8[/tex] 25.12 inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

See below.

Step-by-step explanation:

Hi there!

We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches

We want to find the circumference of the circle.

The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)

Since we know the radius, we can substitute that value into the formula

C=2πr, r=4

C=2π*4

C=8π

If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7

Using 3.14 for example,

C=8*3.14=25.12 inches

Using 22/7 meanwhile,

C=8*22/7=25.14 inches  (rounded to the nearest hundredth)

So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)

Either way, hope this helps!

See more on finding the circumference of a circle given the radius here: https://brainly.com/question/15882336

2. A Cylindrical hot water tank is closed at both ends. The radius of the tank is 0.5m and the height is 0.75.calculate i. The volume of the Cylinder it. The total surface area of the tank (take π =22 out of 7​

Answers

Answer:

Volume = 0.59 m³

Surface Area = 3.93 m²

Step-by-step explanation:

Given :-

- Radius = 0.5 cm

- Height = 0.75 cm

To Find :-

- Volume

- Surface Area

Solving :-

Volume = πr²h

= 22/7 x (0.5)² x 0.75

= 22/7 x 1/4 x 3/4

= 66/112

= 33/56 m³

= 0.59 m³

Surface Area = 2πr (r + h)

= 2 x 22/7 x 0.5 (0.5 + 0.75)

= 22/7 x 5/4

= 110/28

= 55/14 m²

= 3.93 m²

Solution :-

Volume = 0.59 m³

Surface Area = 3.93 m²

Answer:

1. Formula for volume of a cylinder;

V = πr^2h

where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height

plug in the actual values;

V = πr^2h

V = 3.14 * 0.5^2 * 0.75

V = 3.14 * 0.25 * 0.75

V = 0.785 x 0.75

V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)

2. Formula for surface area of a cylinder;

SA = 2πr(r + h)

Plug in the actual values:

SA = 2πr(r + h)

SA = 2 x 3.14 x 0.5(0.5 + 0.75)

SA = 2 x 3.14 x 0.5(1.25)

SA = 2 x 3.14 x 0.625

SA = 3.925 meters or 3.93 meters is the surface area.

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