Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.

a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.

Answers

Answer 1

Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856


Related Questions

1. Find y, A. and B.

Answers

3A=120 degrees (bcoz they are alternate exterior angles)

A= 40 degrees

5B= 120 degrees( bcoz they're alternate exterior angles)

B= 24 degrees

to find value of y I equalized

8+15=29/3 + y

y= 23-29/3

y=17/3

what is point B on the number line?!?

Answers

It’s= -0.6
(Hopefully it helped)

Answer:

-0.4

hope this helps :)

3 divided by 5/6=___

Answers

Answer:

2.5

Step-by-step explanation:

Consider the set of whole numbers from 3 to 30, inclusive.


List the numbers that meet the condition: less than six or prime


List the numbers, separated by commas.

Answers

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]

Whole and prime numbers:

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative

A prime number is a number that has only two factors, that is, 1 and the number itself.

The prime numbers between  3 to 30 are,

               [tex]7,11,13,17,19,23,29[/tex]

We have to find the numbers that are less than 6 or prime.

Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]

Learn more about prime numbers here:

https://brainly.com/question/145452

PLEASE help. Will give brainliest.

Answers

Answer:

y=5

x=10 and

z=2

Step-by-step explanation:

since they are equivalance then,

for

triangle ABC and triangle DFE

AB=DF,BC=FE and AC= DE

So, AB=DF

8y-20= 4y

or, y=5

Then, BC= FE

2x+5=x+15

or, x=10

and

AC=DE

3z+9=10z-5

or, z= 2

hope u got ut.

The triangles are parallel thus their sides are equal to each other peer to peer.

So ;

[tex]x + 15 = 2x + 5[/tex]

Subtract sides -5

[tex]x + 15 - 5 = 2x + 5 - 5[/tex]

[tex]x + 10 = 2x[/tex]

Subtract sides -x

[tex]x - x + 10 = 2x - x[/tex]

[tex]x = 10[/tex]

_________________________________

[tex]4y = 8y - 20[/tex]

Subtract sides -8y

[tex]4y - 8y = 8y - 8y - 20[/tex]

[tex] - 4y = - 20[/tex]

Negatives simplifies

[tex]4y = 20[/tex]

Divided sides by 4

[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]

[tex]y = 5[/tex]

_________________________________

[tex]10z - 5 = 3z + 9[/tex]

Plus sides 5

[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]

[tex]10z = 3z + 14[/tex]

Subtract sides -3z

[tex]10z - 3z = 3z - 3z + 14[/tex]

[tex]7z = 14[/tex]

Divided sides by 7

[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]

[tex]z = 2[/tex]

_________________________________

And we're done....♥️♥️♥️♥️♥️

The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.

Answers

Answer:

width: 33 ft

length: 74 ft

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.

l + l + w + w = 214

(41 + w) + (41 +w) + w + w = 214  ... combine like terms

82 + 4w = 214  ... subtract 82 from both sides

4w = 132 ... divide both sides by 4

w = 33 ft

Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.

l = 41 + w

l = 41 + 33

l = 74 ft

Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour

Answers

Answer:

942.50

Step-by-step explanation:

725×30% or 0.3 = 217.5

217.5+725=942.5

ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need

Answers

You would need 3/4 cups of water.

Please help with this question I really need help

Answers

Answer/Step-by-step explanation:

Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.

Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.

Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.

f(4) = 2(4) - 8 = 8 - 8

f(4) = 0

Therefore, the relation in the table has a greater value when x = 4.

Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:

34 = 2x - 8

Add 8 to both sides

34 + 8 = 2x

42 = 2x

Divide both sides by 2

42/2 = x

21 = x

x = 21

A baker makes 51 loaves of bread in 8 1/2 hours. What is the unit rate for the number of loaves in one hour. I need a answer pleaseee

Answers

Answer:

6

Step-by-step explanation:

51 divided by 8.5

4. Volunteers are moving a pile of mulch at a park. The pile has 324 cubic feet of mulch. They move it using
wheelbarrows that hold 2.8 cubic feet each. The volunteers can move 11 wheelbarrows per hour. How many
cubic feet are left in the pile after the volunteers have moved mulch for 6 hours?
(1) 89.4
(3) 184.8
(2) 139.2
(4) 206.2

Answers

the answer is 184.8 because
2.8 x 11 = 30.8 x 6 = 184.8

Find the square root of each number.
40=

Answers

Answer:

6.32455532034

is the square root of 40

The square root of 40 is 6.32456

Which number is equal to 10^3

Answers

Answer: is 0.001

10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001

Step-by-step explanation:

Hope you have a great night

Answer: 0.001

Step-by-step explanation:

what is the Quotient: 3/4divided1/4

Answers

Answer:

3

Step-by-step explanation:

cual es el valor de 7 3/4 + 1 7/8 fraccionado

Answers

la respuesta de tu pregunta es: 15 5/8

Natalie can do 26 push ups in 2 minutes how many can she do in 7 minutes? set up porportion

Answers

Answer:

 In seven minutes she can do 91 push ups

Step-by-step explanation:

26*3=78

78+13=91

Select the expression that shows the value of three hundred and eighty two thousandths

Answers

Answer:

Step-by-step explanation:

To write the value of three hundred and eighty two thousandths in words, we can follow the steps below:

Split the expression based on the place values

The statement is expressed as:

[tex]\frac{382}{1000}[/tex] = 0.382

three hundred thousandth = 0.300 (thousandth)

eighty thousandth= 0.080

two thousandth = 0.002

Add the values gotten

= 0.300 + 0.080 + 0.002

= (3*10⁻¹) + (8*10⁻²) + (2*10⁻³)

= 0.382

Lisa Has 17 cookie she subtracts 19 and adds 156 then she divides by 4.

Answers

Answer:

38.5

Step-by-step explanation:

17-19= -2

-2+156=154

154 divided by 4= 38.5

it should be 17 - 19 + 154 then divided by 4

so 38.5 cookies

show your work
16 = k/11

Answers

16 = k/11

You’re going to need to get K by itself

So you need to multiply 11 on both sides

to remove the denominator of 11



16 x 11 = 176

k/11 x 11 = k

So now the answer would be

176 = k


Hope this helped :)

A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)

Answers

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

Here,

Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:

f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57

Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:

f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57

Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).

Mathematically, we want to find P(Y > X + 0.11).

Let's set up the integral to calculate this probability:

P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy

We integrate with respect to x first and then with respect to y:

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy

P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy

P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57

P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]

P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]

P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]

P(Y > X + 0.11) = 3.0805 * [0.84895]

P(Y > X + 0.11) ≈ 2.6092

Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

To learn more on probability click:

brainly.com/question/11234923

#SPJ4

if a distibution has a mean of 50 and a standard devation of 25, how many standard deviation is 0 from the mean

Answers

Answer:

2

Step-by-step explanation:

Here, we have a mean of 50 and a standard deviation of 25, we now need to find out in terms of standard deviation how 0 is far from 50.

Firstly, we subtract 0 from 50

That gives 50. Now, we need to divide this difference by the standard deviation

That will be 50/25 and that makes it 2

So 0 is two deviations away from 50

Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY

Answers

Answer:is D

Step-by-step explanation:

Answer: B

Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)

can someone help me please with 582 x 23 ≈ __________ x __________ = 12,000

Answers

Answer:

Step-by-step explanation:

582×23≈600×20=12,000

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8, . . .

Answers

Answer:

4, 2.75, 1.5, 0.25, –1, . . .

Step-by-step explanation:

edge2020

Solve the equation. Then check your solution.
1. 1/4 = a +3/8

Answers

Subtract from both sides by 3/8, and u got -1/8. If u want to check put -1/8 in a
-1/8+3/8=1/4

What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

Find the value of. -
[(-4) + (-8)] = [(-4)=2x2
(a) 3
(b)-3
(C) 4
(d) - 4​

Answers

Answer:

d

Step-by-step explanation:

What is the value of (4 minus 2) cubed minus 3 times 4?

Negative 20
Negative 4
4
20

Answers

Answer:

yes the last person is correct

Step-by-step explanation:

The following equation represents the total price of hot dogs, p=3.25h. How much will you pay for 4 hot dogs? WRITE ONLY THE NUMBER FOR YOUR ANSWER.

Answers

Answer:

13

..................

An engine pulls four identical carriages. The engine is the length of 2/3
a carriage and the total length of the train is 86.8 m. Find the length
of the engine.​

Answers

Answer:

12.4m

Step-by-step explanation:

In order to solve this equation, we can use the length of a carriage as our unknown value (using the engine is a bit more difficult). The questions says that the whole train: 4 carriages and an engine = 86.8m

If we represent carriage length as 'x', we can write the following equation:

4x (length of 4 carriages) + (2/3)x (length of engine as it is 2/3 of a carriage) = 86.8m

4x+(2/3)x = 86.8

From here we can combine into one fraction:

[tex]4x+\frac{2}{3} x=\frac{14}{3}x[/tex]

So now our equation looks like this:

[tex]\frac{14x}{3}=86.8[/tex]

Now all we need to do is multiply both sides by 3 and then divide both sides by 14 to isolate and solve x:

[tex]\frac{14x}{3}*3=86.8*3\\ 14x=260.4\\\frac{14x}{14}=260.4/14\\ x=18.6\\[/tex]

Now that we know the carriage length, we can use it to find the engine length:

Engine length = 2/3 Carriage length

[tex]E=\frac{2}{3}x\\ E=\frac{2}{3} (18.6)\\E = 12.4m[/tex]

Hope this helped!

Length of a carriage = x

Length of four carriages = 86.8 m

Length of each carriage =

[tex]86.8 \div 4 \: m \\ = \: 21.7 \: m[/tex]

Length of one carriage = 21.7 m

Length of the engine =

[tex] = \frac{2}{3} x[/tex]

[tex] = \frac{2}{3} \times 21.7[/tex]

[tex] = 43.4 \: m[/tex]

[tex]43.4 \div 3 \: m \\ = 14.4666666667 \: m[/tex]

∴ The length of the engine is 14.4666666667 m .

Other Questions
Is the chemical equation 2Fe+3cl2=>2FeCl3 balanced? 50 POINTS, HEART, 5 STAR AND BRAINLIESTLIST 10 INPORTANT POINTS OF INTEREST ABOUT GENGHIS KHAN AND HOW HE HAD AN INOACT ON THE WORLD THEY LIVE Has the FBI undergone any major reorganizations or structural changes in the past decade? porque los humanistas estaban en desacuerdo con la iglesia 100 POINTS!!! Plz describe this (and don't answer this just for the points like actually help me this is 60% of my grade) I couldn't find anything on the website so I came here.Will reward brainliest. The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 2.00 and a residual standard deviation of 30%. a. Calculate the total variance for an increase of 0.10 in its beta. (Do not round intermediate calculations. Round your answer to the nearest whole number.) b. Calculate the total variance for an increase of 2.62% in its residual standard deviation. (Do not round intermediate calculations. Round your answer to the nearest whole number.) Which number goes in thespace (?) to make the twofractions equivalent3/8 = 15/? A farmer wants to expand his fields, but only has hills left. He is worried about water erosion because of the rate at which water is pulled down the hills during rainstorms. What can this farmer do to reduce the water erosion he fears?A. Rotate his crops so that there is permanent groundcover.B. Use contour plowing on the hills.C. Install silt fences at the bottom of the hills.D. Reshape the hills with terraces. what are all the forms of triage help plsWhich process of sedimentary rock formation occurs last?cementationcompactiondepositionerosion Use the highlighter to cite the oath-taker's responsibilities What does the vassal promise to do in this passage?to his lord.Check all that apply.Thus shall one take the oath of fidelity: By the Lordbefore whom this sanctuary is holy, I will to N. be trueremain loyal to his lordand faithful, and love all which he loves and shun allput the lord above his love for Godwhich he shuns, according to the laws of God and theorder of the world. Nor will I ever with will or action,do nothing that the lord does not wishthrough word or deed, do anything which is unpleasing to be unpleasing to his lordhim, on condition that he will hold to me as I shalldeserve it, and that he will perform everything as it wasin our agreement when I submitted myself to him andchose his will_"'Feudal' Oaths of Fidelity,"Medieval Sourcebook 1: In what country did Commedia dell'arte form and where was it performed? 2: How can you use improvisation in your everyday life?3: Why are improv skills important to an actor? Or to anyone? 4: What exercise are you interested in trying in our improvisational unit?5: Why is it important to not say 'no' in an improv scene?6: What is breaking character? 7: How can improvisation build your confidence about abilities with public speaking? HEYYYYY YOU......I NEED HELPYou and your friends decide to play video games online together on Saturday. This particular game charges a one-time $10 fee to download and $3.50 per hour of play.Write an equation to represent this situation. Specify what each variable represents. . What is the last step in creating the sign for "niece"?A. place your hand next to your faceB. form an "N" letter shapeC. separate your hands from one anotherD. twist your hand forward Question 13Find the value of x. How was the art in mosques different from the art in the Roman Catholic churches and cathedrals? Select one: a. Islamic art included angels to represent the voice of God. b. Islamic art does not include human figuresonly shapes and patterns. c. Islamic art was less elaborate in its design than Roman Catholic art. d. Islamic art usually took the form of statues of the Prophet Muhammad. PLEASE HELP!Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8. A. On which day did Elsa reach farther: the second or third day? B. By how much? What four things should you evaluate in an argument?A. How relevant and sufficient the evidence, how logical the reasoning is, and whether there is a counterargumentB. How clear and realistic the evidence is, how logical the reasoning is, and whether there is a counterargumentC. How detailed and specific the reasoning is, how factual the evidence is, and what the author's claim isD. How relevant and specific the reasoning is, how important the counterargument is, and what the author's purpose is Read the passage from Benito Mussolinis The Doctrine of Fascism.In the Fascist State, the individual is not suppressed, but rather multiplied, just as in a regiment a soldier is not weakened, but multiplied by the number of his comrades. The Fascist State organizes the nation, but it leaves sufficient scope for individuals; it has limited useless or harmful liberties and has preserved those that are essential. It cannot be the individual who decides in this manner, but only the State.According to the passage, which statement would most likely have been compatible with Mussolinis philosophy?By strengthening the rights and liberties of individuals, the state is able to thrive and expand.By strengthening the military, the state can protect the rights and liberties of individuals.By strengthening the state, individuals are able to preserve essential rights and liberties.By strengthening the state, the dictatorship ensures individual rights and liberties. Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.