Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to send letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

[tex]z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}[/tex]


Related Questions

HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)

Answers

Answer:

The x-intercept of the graph is (-2,0)

OAmalOHopeO

Solve the following equation algebraically

3x 4 – 1 = 1874

Answers

The answer is x= 5 or x= -5

The scores from the first test for students in my statistics class have an average of 70 and a standard deviation of 3. The scores from the second test has the same average and standard deviation as scores from the first test. The variance of the score from the second test given that the score in the first test is 65, is 2. Assume the scores of the students in the first test and second test are positively correlated and have a bivariate normal distribution. Calculate the average scores of the students in the second test given that the scores in the first test are 65.

Answers

Answer:

[tex]P(Y| X = 65)=66[/tex]

Step-by-step explanation:

From the question we are told that:

Mean[tex]\=x=70[/tex]

Standard Deviation [tex]\sigma=3[/tex]

Variance [tex]\sigma^2=2[/tex]

Generally the equation for Variance of Prediction is mathematically given by

[tex]\sigma_{p}^2=\sigma_{p}'^2*(1-r^2)[/tex]

Where

[tex]\sigma_{p}'^2=variance\ of\ predictor[/tex]

Therefore

[tex]2=3^2*(1-r^2)\\\\r=0.88[/tex]

Therefore

The Average score of student in 2nd test  

[tex]P(Y| X = x) = \mu +\frac{p\sigma}{\sigma(x −\mu_X)}[/tex]

[tex]P(Y| X = 65) = 70 +0.88\frac{3}{3)}*(65-70)[/tex]

[tex]P(Y| X = 65)=66[/tex]

Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out

Answers

Answer:

the answer is b. you are basically multiplying them

Type the correct answer in each box.
Consider the expressions shown below.

A B C

Complete each of the following statements with the letter that represents the expression.


is equivalent to expression
.

is equivalent to expression
.

is equivalent to expression
.

Answers

Answer:

BAC

Step-by-step explanation:

The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial shown in the picture.

A = -7x² - 2x + 5

B =  7x² - 2x + 7

C = 7x² + 2x - 5

The expression is:

= (3x² - 6x + 11) - (10x² - 4x + 6)

= -7x² - 2x + 5

= A

= (-3x² - 5x - 3) - (-10x² - 7x + 2)

= 7x² + 2x - 5

= C

= (12x² + 6x - 5) - (5x² + 8x - 12)

= 7x² - 2x + 7

= B

Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

Q4 Compute the shearing stress at the very top of the vertical web just below the flange. for a beam with the T shaped cross section shown in Figure. The shearing force V on the section of interest is 6000 N. Le​

Answers

ʕ•ﻌ•ʔ[tex]\huge\bold\pink{hello!!!}[/tex]ʕ•ﻌ•ʔ

HERE IS UR ANSWER

_____________________

formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.

τ=6000N

Look at the images above. How are the fish food box and the shipping box similar? How are they different?​

Answers

Answer:

Read below c:

Step-by-step explanation:

Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.

hope it helps c:

Whats is the job of dentisy​

Answers

Answer:

A dentist, also known as a dental surgeon, is a medical professional who specializes in dentistry, the diagnosis, prevention, and treatment of diseases and conditions of the oral cavity. The dentist's supporting team aids in providing oral health services. Wikipedia

The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.

Answers

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

PLS HELP
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f · g and state its domain.


A) -30x2 - 9x + 12; all real numbers



B) -30x2 - 9x + 12; all real numbers except x = 4



C) -18x2 - 39x + 20; all real numbers



D) -18x2 - 39x + 20; all real numbers except x = 1

Answers

Answer:

-30x^2-9x+12  all real numbers

Step-by-step explanation:

f(x) = -6x + 3 and g(x) = 5x + 4

f(x) * g(x) = (-6x + 3) * ( 5x + 4)

FOIL

            = -30x^2 -24x+15x +12

Combine like terms

           =-30x^2-9x+12

The domain is what numbers x can take

There are no restrictions so all real numbers

A rectangle with a length of 5 cm and a width of 2 cm is enlarged by a scale factor of 5. What would be the area of the new rectangle?
Area of old rectangle is multiplied by 25
Area of old rectangle is multiplied by 5
Area of old rectangle is multiplied by 20
Area of old rectangle is multiplied by 10

Answers

Area is in square units.

Square the factor: 5^2 = 25

The new area would be the area of the old rectangle multiplied by 25

Answer: Area of old rectangle is multiplied by 25

Step-by-step explanation:

Original rectangle

Length = 5 cmWidth = 2 cm

Area = 2 · 5 = 10 cm²

New rectangle

Length = 5 · 5 = 25 cmWidth = 2 · 5 = 10 cm

Area = 25 · 10 = 250 cm²

The area of the new rectangle = area of old rectangle × 25

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 ​hours, technology output shows that the hypothesis test has power of 0.4272 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the​ power, then identify the value of β and interpret that value.

Answers

Answer:

#[tex]\beta=0.5492[/tex]

#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

Step-by-step explanation:

From the question we are told that:

Amount of sleep for adults [tex]X=P(< 6)[/tex]

Hypothesis test has power [tex]p=0.4272[/tex]

Mean [tex]\=x =4hours[/tex]

Generally the equation for [tex]\beta[/tex] is mathematically given by

[tex]\beta=1-P[/tex]

[tex]\beta=1-0.4508[/tex]

[tex]\beta=0.5492[/tex]

Therefore

This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x

Answers

Answer:

the answer could be B i think cause that makes total sense

I think the answer is b

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $53. The total cost to rent 8 chairs and 3 tables is $42. What is the cost to rent each chair and each table?

Answers

Answer:

c=cost of one chair rental

t=cost of one table rental

8c+3t=42

2c+5t=53

multiply the second equation, each term on both sides, by -4

8c+3t=42

-8c-20t=-212

add the two equations

-17t=-170

divide both sides by -17

t=$10 to rent one table

substitute t=10 into either original equation

2c+5(10)=53

2c+50=53

2c=3

c=$1.50 to rent one chair

what is the slope intercept equation of the line below?

Answers

Answer:

[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]

+
Put the following decimals in order, starting with the smallest at the top.
Smallest
5.07
5.76
50.67
55.706
50.765

Answers

Answer:

5.07, 5.76, 50.67, 50.765, 55.706

Step-by-step explanation:

What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.

Answers

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

[tex]\frac{(-5-4)}{(9-9)}[/tex]

[tex]\frac{-9}{0}[/tex]

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.

Last question pls help me

Answers

Answer:

Step-by-step explanation:

684 dollars

simplify (q and (-q or p)) or (p and -(q and p))

Answers

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns labeled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?

Answers

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015

Answers

Answer:

The projected world population in 2015 was 8,705,121,030 people.

Step-by-step explanation:

Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :

5,000,000,000 x 1.02 ^ (2015-1987) = X

5,000,000,000 x 1.02 ^ 28 = X

5,000,000,000 x 1.741024 = X

8,705,121,030 = X

Therefore, the projected world population in 2015 was 8,705,121,030 people.

When Poll Pasked students to identify their favorite kind
of TV show, 12 students, 30% of the group, said their
favorite was Sports. Poll Q asked 3 times as many
students as Poll P.
G
How many students took Poll Q?

Answers

Answer:A) The number of students who took Poll P

Step-by-step explanation:

i did it on the assignment

i need help plz help.i need the answer asap

Answers

Answer:

Step-by-step explanation:

If you need to use all the letters, the only other word I can see is STRUT.

Answer:

120

Step-by-step explanation:

5!

if they are looking for words that actually exist then 11

also rsm right?

A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the probability that a randomly chosen value will be less than .

Answers

Answer:

0.0171

0.89158

Step-by-step explanation:

Given :

μ = 60

Standard deviation , σ = 17

The probability that a randomly chosen score is greater than 96;

P(Z > Zscore)

Zscore = (score, x - μ) / σ

Zscore = (96 - 60) / 17 = 2.118

P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171

The probability that a randomly chosen score is less than 81;

P(Z < Zscore)

Zscore = (score, x - μ) / σ

Zscore = (81 - 60) / 17 = 1.235

P(Z < 1.235) = 0.89158

Round 86,261,785 to the nearest hundred?

Answers

Answer:

86,261,800 is your answer

Answer:

86,261,800

Step-by-step explanation:

Locating the hundreds place...

86,261,785

Look at the digit to the right of it.

86,261,785

Since the digit '8' is greater than or equal to 5, we would round up.

86,261,785 ≈ 86,261,800

Hope this helps.

What is the value of this expression when h= -2 and g = 5?
242 +9

Answers

Answer:

B

Step-by-step explanation:

the g is not in the root, solve everything in the root separately and then add g to it

I need help with this​

Answers

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]

Answers

Answer:

= 3 11/20

Sorry I am not doing the step by step.

Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.

Answers

Answer:

900

Step-by-step explanation:

34/100 = 306/x

Cross multiplying, you get:

34x=30600

x=900

Total trip is 900 miles long.

A survey of 200 school children classified students by gender and the number of times Sharky's Soda was purchased each month at school. Examine the chart below, where each respondent is classified according to the two criteria.
- What percentage of boys bought 1 Sharky's? What percentage of girls bought 2 or more Sharky's?
-What percentage of people bought no Sharky's?
-How would you characterize the relationship between boys that purchased Sharky's and the total of people buying 2 or more Sharky's Soda?

Answers

Answer:

15%

65%

7.5%

Step-by-step explanation:

1.) Percentage of boys who bought 1 Sharkys

Number of boys that bought 1 sharkys = 15

Total number of boys = 100

= 15 / 100 * 100% = 15%

2.)

Percentage of girls who bought 2 or more sharkys :

Number of girls who bought 2 or more sharkys

= 65

Total number of girls = 100

= 65 / 100 * 100% = 65%

3.)

Percentage of people who bought no sharkys

Number of people who bought no sharkys = 15

Total number of people = 200

15 / 200 * 100% = 7.5%

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IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9. Please help!! Graph a line with a slope of 1/4 that contains the point (6,3). Silly comments will the reported!!! Please explain if possible!! Slide the green dot from 0 to plot the number at the correctlocation.Use the number line and the additive inverse to find thedifference.Plot --3.5 -3-2.5 -2-1.5 -1-0.500.51 What is a reaction rate? Assume a firm generates $2,500 in sales, has a $800 increase in accounts receivable and has a $500 increase in accounts payable during an accounting period. Based solely on this information, cash flow from operations will increase by: The strategy that schedules processes based on their group affiliation is generally referred to as _________ . Select one: a. simulation modeling b. queuing analysis c. shortest process next d. fair share scheduling Solve for x in the equation 2/5x = 12A: -30B: -4 4/5C: 4 4/5D: 30 Difference between scissors and nut cracker Please help I dont know the answerThe last option is none of the above A man is pulling a 20 kg box with a rope that makes an angle of 60 with the horizontal.If he applies a force of 150 N and a frictional force of 15 N is present, calculate the acceleration of the box. please help me with both questions HELP PLEASE!!!Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees that will be infected after t years. f(t)=e^0.4tQuestion:Rewrite the exponential model as a logarithmic model that calculates the # of years, g(x) for the number of infected trees to reach a value of x. Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form [a b c] , where at most one of a , b and c is non 0. The set is a subspace. The set is not a subspace. If so, give a proof. If not, explain why not. Which of the following phenomena can be used to support the particle theory of light? Select all that apply.The Photoelectric EffectPolarizationInterference PatternsRefractionReflection Why is it important for leaders to ensure that someone takes minutes during a meeting?to ensure that all the participants know their role in the meetingOB. to help keep track of the developments in the meeting and any future action itemsOC to encourage all the participants contribute during the meetingOD. to keep participants informed of what the leader expects of them in the meeting if 2 and 4 are the factors of a number than is 8 always a factor? true or false Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.How many cinnamon bagels did the customer order what is a first prime minister of India? Round 5,821 to the nearest thousands place: Kim Thorsten uses rationale to make decisions for project implementation. She believes that the right decisions can be made only through analysis and examination. Each time she needs to make a decision, she weighs all options before taking action. Which of the following is a characteristic of Thorsten's personality type according to the Myers-Briggs Type Indicator (MBTI) classification? a. intuitive b. thinking c. introverted d. perceiving e. feeling