On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.

Answers

Answer 1

Answer:

First, compute the z-score:

 

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

 

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

Answer 2

For the given data the value of the z score will be 1.5

What is the standard deviation?

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2


Related Questions

Help
See the picture

Answers

Answer:

114°

Step-by-step explanation:

The measure of the central angle is going to be the same as the arc, so the answer to this is 114°.

114°

explanation: because the person above me said it lollll

The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?

Answers

Answer: 10

Step-by-step explanation: 8+10+60=78

There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: Cube: Octahedron: Dodecahedron: Icosahedron:
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time? (3 points)
4 faces, each face is an equilateral triangle 6 faces, each face is a square 8 faces, each face is an equilateral triangle 12 faces, each face is a regular pentagon 20 faces, each face is an equilateral triangle

Answers

Answer:

46080

Step-by-step explanation:

Number of possible combinations:

4*6*8*12*20 = 46080

Answer:

Solution given:

Number of possible combinations:

4×6×8×12×20 = 46080 faces

find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph​

Answers

Answer:

27) x = 2^(y) – 5.

Asymptote: x = -5.

D: x > -5; (-5, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

28) x = 2^-(y–3).

Asymptote: x = 0.

D: x > 0; (0, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → +infinity.

x → +infinity, f(x) → -infinity.

________________________

29) x = 4^(y–2) + 1.

Asymptote: x = 1.

D: x > 1; (1, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________


Volume of Prisms
1. A pool in the shape of a rectangular prism is being filled with water. The
length and width of the pool is 24 feet and 15 feet. If the height of the water
in the pool is 1 &1/3feet, what is the volume of the water in cubic feet?

Answers

Answer:

the answer is 480 cubic feet

What is the solution to the to system equations in the graph?

Answers

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

Can someone help me with this question plz show work.

Answers

Answer:

d

Step-by-step explanation:

V=whl=3·4·6=72

D. 6*4*6≠72

Answer:

D 6x6x4

Step-by-step explanation:

the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism

podstaw graniastosupa prostego jest rownoleglowbok ktorego boki maja dlugosci 4cm i 6 cm a miara jednego z katow wynosi 30 stopni oblicz objetosc tego graniostoslupa przy zalozeniu ze jego pole powierzchni cakowitej jest rowne 72 cm kwadratowe

Answers

Answer:

which language is it

Step-by-step explanation:

can you please put it in English

Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?​

Answers

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

this is a nice question for 69 points (nice)
What's 34.5 x 2

A. 45
B. nice
C. 78
D. 50

Answers

Answer:

34.5 × 2 = 69

Step-by-step explanation:

pretty self explanatory

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 What is the best predicted value for blood pressure of an individual who is 64 years old

Answers

Answer:

156

Step-by-step explanation:

Given the data:

Age (X) :

38

41

45

48

51

53

57

61

65

Pressure(Y) :

116

120

123

131

142

145

148

150

152

From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :

The regression equation obtained is :

y = 1.48769X + 60.46103

Using the model, the predicted blood pressure for a person aged 64 will be :

y = 1.48769(64) + 60.46103

y = 95.21216 + 60.46103

y = 155.67319

y = 156 (nearest whole number)

You need to establish _____ for how to judge a concept.

Answers
Questions
Points
Criteria

Answers

Answer:

Criteria.

Step-by-step explanation:

A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.

help me and I’ll give you brainliest

Answers

Answer:

8

Step-by-step explanation:

It's a ratio.

h/15=24/45

cross-multiply

45h=360

h=8

8 8 8 8 8 8 8 8 8 8 8 8

If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?

m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=

m∠B=

m∠C=

Answers

the answer for this equation is 499 + 199 equals 599

dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?

Answers

Answer:

12$

Step-by-step explanation:

Answer:

$1.20 per pound

Step-by-step explanation:

The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20

The results of a coin toss are shown.

What is P(heads)?

H T H H H T H T T H H T H T T T H H T H T T H H H H T H T T

A. 8/15. B.7/17. C.1/2. D3/5

Answers

Answer:

A is the answer!

Because that's reduced of 16/30

A.

count and divide from 16/30 to 8/15!

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.

Answers

Answer:

You will need 50.54 liters of gas.

Step-by-step explanation:

This question is solved by proportions.

495km trip:

The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.

Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.

Number of gallons:

23.0 mi/gal.

So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.

How many liters?

Each gallon has 3.78 liters.

So 13.37 gallons will have 13.37*3.78 = 50.54 liters.

At a middle school, 24 of the 144 students speak Vietnamese. What is the ratio of students that do not speak Vietnamese to students who speak Vietnamese?

Answers

They all speak Vietnamese because they are Vietnam

Answer:

1:6

Step-by-step explanation:

24 and 144 are divisible by 6. Do the math, it comes out as 1:6.

24:144 = 1:6

Find the LCD of the following:
1. 3/8, 1/4, 5/12


2. 2/3,5/6, 7/9​

Answers

Answer:

1.  LCD= 24

2. LCD= 18

Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.

Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.

Answers

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]

When t = 0, A(0) = 0 (since the forest floor is initially clear)

[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]

[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]

So, D = R - A =

[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]

when t = 0(at initial time), the initial value of D =

[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]

how many ways can three people be selected from a group of seven people if order does matter

Answers

Answer:

210 ways

Step-by-step explanation:

Given

[tex]n = 7[/tex] --- total

[tex]r = 3[/tex] --- selection

Required

In how many ways can be selection be done

Since orders does matter, then it is permutation.

This is calculated as:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

So, we have:

[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]

[tex]^7P_3 = \frac{7!}{4!}[/tex]

Solve each factorial

[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]

[tex]^7P_3 = 7*6*5[/tex]

[tex]^7P_3 = 210[/tex]

Need some help on this question??

Answers

Step-by-step explanation:

I am sorry I didn't know the answer

Answer:

2nd option

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

∠ CAD = [tex]\frac{CD-GE}{2}[/tex]

What is the factored form of 30x2 - 25x -30?

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30  Factoring

Step 2

30x2 - 25x -30  factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3)  Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

Don’t know the answer to this question???

Answers

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

The product of segment lengths to the near and far intersection with the circle is the same for both secants.

  4(4+5) = 3(3+x) . . . . the above statement with numbers filled in

  36 = 9 +3x . . . . . . . simplify

  12 = 3 +x . . . . . . . . divide by 3

  9 = x . . . . . . . . . . . subtract 3

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!

Answers

Answer:

75 Units

Step-by-step explanation:

i got this on khan :)

Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test

Answers

Answer:

Type 1 error.

Step-by-step explanation:

H0 : μ = 5.1

H1 : μ ≠ 5.1

The Pvalue of the test = 0.003

Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.

However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.

Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(82)
(-16-17)
(-1,-8)
(-40,-34)

Answers

Sorry I did it wrong.

Answer:

(0, -5) and (-16, -17)

Step-by-step explanation:

You can plug in the points into the function to test them.

(0, -5)

3(0) - 4(-5) - 8 = 12

20 - 8 = 12

12 = 12

(8, 2)

3(8) - 4(2) - 8 = 12

24 - 8 - 8 = 12

8 ≠ 12

(-16, -17)

3(-16) - 4(-17) - 8 = 12

-48 + 68 - 8 = 12

12 = 12

3(-1) - 4(-8) - 8 = 12

-3 + 32 - 8 = 12

21 ≠ 12

3(-40) - 4(-34) - 8 = 12

-120 + 136 - 8 = 12

8 ≠ 12

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week.

The function that models the scenario, where h is the number of helicopters produced per week, is

f(h) = –2(h – 4)2 + 22.

When 6 helicopters are produced weekly, the company’s profit is (blank)
thousand dollars.

Answers

I hope this helps
Explanation:
I took this in 9th grade so I know how to do this kind of stuff

Answer:

the answer is B

Step-by-step explanation:

A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?

Answers

The selling price will be $192

$120 x 60% = $72 markup

$120 + $72 = $192

Answer:

$192

Step-by-step explanation:

Given that 2x + 3 > 9, the range of values of x is

Answers

Answer:

x>3

Step-by-step explanation:

2x+3>9

2x>6

x>3

So all values of x must be greater than 3 in order for the inequality to be true.

X>3 from the equation giving thats the answer
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