Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test scores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401

Answers

Answer 1

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.


Related Questions

HURYY PLEASE LIKE RN

Answers

Answer:

[tex]\huge\boxed{\sf 252\ in.\²}[/tex]

Step-by-step explanation:

TOP and BOTTOM:

Surface Area = 2 ( Length * Breadth)

SA = 2 ( 6 * 12 )

SA = 2 (72)

SA = 144 in. ²

FRONT and BACK:

SA = 2 ( Length * Breadth)

SA = 2 ( 3*12 )

SA = 2 (36)

SA = 72 in.²

SIDES:

SA = 2 ( Length * Breadth )

SA = 2 ( 3 * 6 )

SA = 2 (18)

SA = 36 in.²

Adding all to get the SA of rectangular prism:

= 144 + 72 + 36

= 252 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.

Answers

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).

In Austin Texas, there were 42 days where the temperature reached over 100 degrees. 1/3 of those days were in June. How many days in June did the temperature hit above 100?How man

Answers

Answer:  14 days in June

Step-by-step explanation:

Multiply 1/3 × 42.  That is the same as dividing 42/3 = 14

Evaluate the following expression, when d=2 and z=6
6z + 3(-7d-5)

Answers

Answer:

-21

Step-by-step explanation:

6(6) + 3(-7(2) -5 )

36 + 3( -14 -5)

36 + 3(  -19)

= -21

Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00

Answers

Answer:C:$18.50

Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...

Answer:

c

Step-by-step explanation:

a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?

Answers

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

czi-txdf-gmj Aao sabhi

Answers

Answer:

hiii

Step-by-step explanation:

my name is arushi(aru)

This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.

Help a birb. Get a crown.

Answers

Answer:

6.

in 24/4=6,

24 is the dividend

4 is the divisor

6 is the quotient

in 4*6 = 24,

4 and 6 are the factors

24 is the product

7. division is an operation on two numbers to find the quotient

8. fact family is a group of related facts using the same numbers

9. multiplication is an operation on two numbers to find the product

Answer:

6. 24/4 = 6

7.24

8.4

9.6

4 * 6 = 24,

4 și 6 sunt factorii

24 este produsul

7. împărțirea este o operație pe două numere pentru a găsi coeficientul

8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere

9. multiplicarea este o operație pe două numere pentru a găsi produsul

Step-by-step explanation:

If h(x)= -4x-10, find h(-5).

Answers

Answer:

h= −4x−10/x

Step-by-step explanation:

if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?

Answers

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.

Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125. θ = 85.87° θ = 82.65° θ = 29.77° θ = 16.26°

Answers

Answer:

C - 29.77

Step-by-step explanation:

Edge 2020

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of two vectors is written as,

[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]

Substituting the values,

125 = 16 · 9 × Cos(θ)

0.868 = Cos(θ)

θ = 29.766°

Hence,  the angle θ between vectors r and s is 29.766°.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

how can 52/9 be expressed as a decimal ​

Answers

Answer:

5.777777778

Step-by-step explanation:

:)

I need help with this please! I need help as soon as possible please.

Answers

Answer:

2

Step-by-step explanation:

slope: change in y/change in x

slope: 2/1 = 2

It’s 1/2 because on x it is going up by 1 and for y it is going up by 2. I hope this helps.

During a snowstorm, the snow falls at a constant rate of 2 Inches per hour. Before the storm, there were 5 inches of snow on the ground from a previous storm. The total number of inches of snow, y. can be expressed in terms of the number of hours it snowed, ... Which equation represents this situation? y=2x+2 y=2x+5 y=5x+2 y=5x+5​

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start

Answer:

y=2x+5

Step-by-step explanation:

This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.

The temperature at noon is 75 degrees. The temperature drops 3 ½ degrees every half hour because a cold front starts coming through the area. What is the temperature at 4 P.M.?

Answers

Answer:

47 degrees

Step-by-step explanation:

3 1/2 x 8= 28

75-28= 47

Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning​

Answers

Answer:

[tex]6.4[/tex] minutes

Step-by-step explanation:

Given information:

- Track is 400m long

- Mai runs at a constant speed of 250 meters/minute

- - - - - -

To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:

[tex]400\times4=1600[/tex] meters

To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:

[tex]1600\div250=6.4[/tex] minutes

∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.

Hope this helps :)

You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?​

a) Yes
b) No

Answers

Answer: Yes

Step-by-step explanation: got it wrong and told me the correct answer

Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?

Answers

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

i need help asap if you can answer more questions for me text me

Answers

Answer:

x=14

Step-by-step explanation:

Brianlist please Let me know if you need an explaination!

Answer:

The answer is 14

Step-by-step explanation:

4(2x-5)+3=5(x+5)

(distribute)

8x-20+3=5x+25

(combine like terms)

8x-20+3=5x+25

-5x.        -5x

_____________

3x-20+3=25

3x-17=25

    +17 +17

____________

3x=42

_______

    3

x=14

You pick a card at random. What is P(6)? Write
your answer as a percentage.

Answers

25% because you would have a 25% if there’s four cards each and it would add up to 100%

Sorry im not that good at explaining but its 25%

Plz answer my questions

Answers

I don’t see nothing what is it

Please I will give you 10 plus 5 more for brainliest

Answers

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.

Answers

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

Is it A or B or C or D​

Answers

The answer is A because it makes both triangles congruent

Which of the symbol correctly relates The two numbers below 19?20

Answers

Answer:

<

Step-by-step explanation:

Please help me
Find the value of x.​

Answers

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Helpppppppppppppppppppppppp

Answers

18
and its pretty easy tbh

Find the area of the triangle.
7 yd
24 yd

Answers

Answer:

A=84 square yards

Step-by-step explanation:

A=1/2bh

A=1/2(7x24)

A=1/2(168)

A=84

The answer is 84
A = H*B/2 which is the formula in which is used to find the area of a triangle meaning base times height divided in half.
that would mean 24 times 7 is 168
and 168 divided by 2 is 84

help need done fast pls.

Answers

The total degrees of a triangle is 180.
So
37+63=100
And well
180-100=80
U=80

Answer:

80 degrees

Step-by-step explanation:

Triangle has 180 add the 2 you already have and subtract from 180

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