A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?

Answers

Answer 1

Answer:

A)The probability of randomly selecting a score less than X=51 is 0.3085

B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013

Step-by-step explanation:

Mean =[tex]\mu = 54[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?

Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{51-54}{6}[/tex]

Z=-0.5

Refer the Z table for p value

So, P(x<51)=0.3085

So,the probability of randomly selecting a score less than X=51 is 0.3085

B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]

Z=-1

Refer the Z table for p value

So, P(x<51)=0.1587

So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]

Z=-3

Refer the Z table for p value

So, P(x<51)=0.0013

So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013


Related Questions

If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?

Answers

(2x - 3) - (x^2 + 3)

2x - 3 - x^2 + 3 Remove parentheses...

2x - 3 - x^2 - 3 Collect like terms and solve...

2x - 6 - x^2 Re-order terms...


ANSWER: -x^2 + 2x - 6



Answer:

the answer is  -x^2 + 2x - 6

Step-by-step explanation:

Select the correct product.
(y+ z)3
y 3+3y2z+ 3yz 2 + z 3
y 3 y+ 3 z
y 3 z 3
y 3 + z 3​

Answers

Answer:

Step-by-step explanation:

If the nth term of a sequence is
on what is the 12th term?

If the nth term of a sequence is 28-3n what is the 7th term?​

Answers

Answer:

7

Step-by-step explanation:

The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case

So, this is the general term.

= 28 - 3n

Now, to find the 7th term, we simply replace "n" with "7"

= 28 - 3(7)

Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.

= 23 - 21

= 2

Solve the equation. Then check your solution.
-
(3a + 4) = 7
Helppp

Answers

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward
each time the wheel goes around? (Use as an approximation for 7r.)?

Answers

Answer: 88 inches

Step-by-step explanation:

So the radius of the tire is computed by dividing it in half. We know that in one round of the wheel, the wheel moves to a distance equal to the circumference of the wheel. So each time the wheel goes around, the bicycle moves about 88 inches 88 i n c h e s forward.

Answer:

The answer would be=

88 Inches!

Step-by-step explanation:

I hope you do well!

Find the lowest common denominator

Answers

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

What is the probability that out of 175 chicks hatched on Peeper Farm, at
least 80 will be female? Assume that males and females are equally probable,
and round your answer to the nearest tenth of a percent.
A. 88.7%
B. 38.1%
C. 3.5%
D. 99.7%

Answers

The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Given that,

Total number of hatched chicks = 175
At least 80 are female,

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability  = number of female chicks / total number of chiks
                 = 80 /175
                 =  0.45 or 45%

Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

thats not even an answer

IS MY ANSWER CORRECT?!

-- I'm thinking it's 36 If its wrong. --

Answers

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

answer please need help and is struggling

Answers

Answer:

q < 5

Step-by-step explanation:

Since there is an open circle it means there is no equal sign

The line goes to the left so it is less then q < 5

Answer:

q<5

Step-by-step explanation:

The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.

Mrs. Holland purchased a computer. She initially put down $105.40 and will pay $20.60 per
month until the computer is paid off. Use the equation b = 105.40 + 20.60m to determine
how many months it will take to pay off the computer if the total cost was $682.20

Answers

Answer:

It will take her 28 months

Step-by-step explanation:

You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.

Answer:

The Answer you are looking for is 28 months.

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5
What is the value of logb(a5c2/d6)?

Answers

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x

Please help y’all lots of point

Answers

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Name the types of angles shown check all that apply

Answers

There are no other options listed

Answer:

There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical

Step-by-step explanation:

These are a few I know of

Ram baked 946 cupcakes she sold them in a box of 22 for $16.50 a box how many boxes would she need to make at least $300?

Answers

this app is g a y ksjshfusjwnsbx

100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.

What is the value of x?

Thank you so much for helping!

Answers

Hope you are doing well

Answer:

x=17

A cylindrical tin of height 15 cm and radius 4 cm is filled with sand from a rectangular box. How many times can the tin be filled if the dimensions of the box are 50 cm by 40 cm by 20 cm?

Answers

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

Select the ordered pair that is a solution
of this equation.
2x - 4y = 2
Click on the correct answer.
(-2,-3)
(-3,-2)
(-3,-6)​

Answers

Step-by-step explanation:

You could do this in your head, but I'm going to type out everything.

Also, you're going to have to just test these out, there is no short cut for this sort of problem.

[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]

I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.

Answer:

(-3,-2)

for the fun of it
1 * 100000000 * 967 *0 +1

Answers

Answer:

1.

Step-by-step explanation:

By the order of operations, multiplication goes before addition. We got left to right.

As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.

0 + 1 = 1.

I hope this helps!

Find the value of x.

Answers

Answer:

x=root 70

Step-by-step explanation:

We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.

Thus, because they are similar we have (7+3)/x=x/7

That gives us 10/x=x/7.

Cross products gives us x^2=70, so x=root 70

(8^3 + 2^2 + 1) - (7 - 7^3+3^2)

Answers

Answer:

844 is the ans

Step-by-step explanation:

512+4+1 -7 +343+9= 844

Answer: 844

Step-by-step explanation:

Give an example of an absolute value inequality whose answers falls between two values. Give an example of an absolute value inequality whose answers fall outside of two values. What creates the difference? Be specific. *

Answers

Answer:

A) Suppose we have an onedimensional situation.

in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:

x ∈(-6ft, 6ft)

we can write this as: IxI < 6ft

b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:

x ∉  [-6ft, 6ft].

or IxI > 6ft.

So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).

pls help me I need it I will give u 100 points and mark u brainliest pls help me. I need 3 answers 3,4,5

Answers

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

The volume of a cylinder is 441 cubic centimeters and its radius is 7 centimeters.
What is the height of the cylinder?
Enter your answer in the box.

Answers

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”

Answers

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

It would be d, that is correct

Please help me! I'm terrible at math

Answers

Answer:

(3.) x = 45

Step-by-step explanation:

Because the lines are parallel and cut by the same line, the angles within are equal as well.

Which means that...

Angle GE = Angle EFD

Therefore (2x-30) = (x + 15)

2x - 30 = x + 15

    +30       +30    (add 30 to both sides to get rid of the -30)

2x = x + 45

-x    -x                   (subtract x from both sides to get rid of the single positive x)

x = 45

Order the expressions from the least to the greatest
-2, -2.2, 5, 2, 2.2, -5

Answers

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

I need help again brainiest who ever get this right

Answers

Answer:

Step-by-step explanation:

26x25x24x23x22x21x10x9=30,891,577,600

=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.

the answer was kind of in the question btw :)

What is the equation of the graphed line written in standard form?


A. x=-3

B. y=-3

C. x+y=-3

D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)

Answers

The answer should be A

Find the equation of the line.
Use exact numbers
y=___ x+____

Answers

Answer:

y=x-5

Step-by-step explanation:

transformations from parent function:

down 5 units

Answer:

y=x-5

Step-by-step explanation:

slope=rise/run=5/5=1

y -intercept=-5

y=x-5

Use Pythagorean’s Theorem

Answers

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

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