Mean = 25


Standard Deviation = 3.8


P(X

Find the value of k.


Round to 2 decimal values.

Answers

Answer 1

Answer:

The normal distribution is explained for the solution of this question.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean = 25, Standard Deviation = 3.8

This means that [tex]\mu = 25, \sigma = 3.8[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 25}{3.8}[/tex]

If P(X > k) = a

We have to find [tex]X = k[/tex] when Z has a pvalue of 1 - a.

If P(X < k) = a

We have to find [tex]X = k[/tex] when Z has a pvalue of a.


Related Questions

Answer plz. I'll get my points back if you put something random.

Answers

Answer:

D.

Step-by-step explanation:

Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.

could you help please i will give points but please explain

Answers

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.

a. A chemist obtains a reference specimen of known concentration from the National Institute of Standards and Technology. She then makes 20 measurements of the concentration of this specimen with the new method and checks for bias by comparing the mean result with the known concentration.
b. Choose 40 romantically attached couples in their midtwenties. Interview the man and woman separately about a romantic attachment they had at age 15 or 16. Compare the attitudes of men and women.
c. Another chemist is checking the same new method. He has no reference specimen, but a familiar analytic method is available. He wants to know if the new and old methods agree. He takes a specimen of unknown concentration and measures the concentration 10 times with the new method and 10 times with the old method.

Answers

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

A basketball player made 16 shots for a total of 38 points during a game. Some points were worth 2 points and some were worth 3 points. Write a system of equations that models this. How many 2 and 3 point shots did he make? Write your answer as a coordinate.

Answers

Answer:

4- 3s and 2- 2s

Step-by-step explanation:

3+3+2+2+3+3

balance the equation 45=r+13

Answers

Answer:

45=32+13

Step-by-step explanation:

because you need to get 45 on the other side to balance it out

Answer:

32

Step-by-step explanation:

45=r+13

r=45-13

r=32

What rule describes the translation?
Write tule as an ordered pair

Answers

For A (x+6), (y-2)
For B (x+6), (y-2)
For C (x+2), (y+2)
Good luck

Convert 20% into a fraction
ANSWER QUICKK​

Answers

Answer:

1/5.

Step-by-step explanation:

20%

20/100

20/20 / 100/20

= 1/5

---

Hope this helps!

Answer:

20/100 or 1/5

Step-by-step explanation:

Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25

hope it helps! :3

Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much area will it cover on her wall? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)
A. 600
B. 111
C. 598
D. 192
E. 9854.05
F. 9843.75
G. 55
H. 1

Answers

D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

Can anyone solo be this?

Answers

Answer:

x = 10

Step-by-step explanation:

Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value).  Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.

Answer:

x=10

Step-by-step explanation:

Hey There!

Those are a pair of vertical angles

Therefore they are congruent

congruent meaning identical in form

So we would setup and equation and because the angles are congruent the equation would be

12x=10x+20  and solve for x

Step 1 subtract 10x from each side

10x-10x cancels out

12x-10x=2x

now we have

2x=20

Step 2 divide each side by 2

2/2 cancels out

20/2=10

Therefore x=10

What is the cost of 12.7 gallons of gasoline at $2.15 per gallon?


Please Help I’ll put Brainliest!!!!!!!

Answers

Answer:

$27.31 (rounded to the nearest cent)

a square pyramid has a volume of 30 cubic millimeters and a height of 5 mm what is the area of the base of the pyramid
PLEASE HELP ME AND IF U GIVE ME A LINK OR A FILE I SWEAR.

Answers

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

15x^2+5x GCF help. out please

Answers

Answer:

5x is the GCF

Step-by-step explanation:

Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.

Part A:
What is the volume of Sarah's box?

Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?

Answers

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

CAMO is a rectangle with diagonals intersecting at W. WA = 4x - 3 , CW = x + 6 , and AO = 22 Find x.

Answers

Answer:

x = 3.5

Step-by-step explanation:

diagonals bisect each other so AW = OW

since AO = 22 then AW = 11

11 = 4x - 3

14 = 4x

x = 7/2 or 3 1/2

Which of the following is equivalent to the expression below?
4x + 3(2x - 1) - 4x

Answers

6x-3 should be the answer

A normal six-sided die is thrown once. The number of outcomes in the sample space is

Answers

I think it would be 6 or 1/6

The number of outcomes in the sample space is 6.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.


What is the equation for this cosine function?

Answers

Answer:

The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.

Step-by-step explanation:

The given values are:

Period,

B = [tex]\frac{5 \pi}{6}[/tex]

  = [tex]\frac{12}{5}[/tex]

Amplitude,

A = 6

Vertical translation down,

D = -5

As we know,

The equation of cosine function will be:

⇒  [tex]y=A \ Cos(Bx)+D[/tex]

On substituting the values in the above equation, we get

⇒  [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]

⇒  [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]

Answer:

Step-by-step explanation:

Can somebody please help me with this question

Answers

Answer:

An event can have a probability of 3/2  is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$

Answers

Answer:

50 minus 27 is 23 so she has $23 more dollars left?

Step-by-step explanation:


Very much need some help ASAP !!

Answers

Answer:

D

Step-by-step explanation:

It cannot be Option A because the values are halve and there is nothing to distribute to them to make the values equal.

It's not option C because if you distribute 2y to each term in the parenthesis

you get -4[tex]y^{5}[/tex]  + 6y³  + 4y².   But where is the 8y² and -2y?

While Option B is equivalent, you can factor it out more and find the common factor of -2 to distribute among them as shown in option D

It is option D because distributing the -2y to each term solves to

-4[tex]y^{5}[/tex]  + 6y³   +  8y²  -2y.

Convert to slope intercept form 4x+5y=-20

Answers

Answer:

Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.

Step-by-step explanation:

Answer:

y = -4/5x - 4

Step-by-step explanation:

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

What is the radius of a circle whose equation is (x – 7)2 + (-10)2 = 4?
2 units
4 units
8 units
16 units

Answers

Answer:

Its A) 2 units

Step-by-step explanation:

62.8 in scientific notation

Answers

Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

Select all the properties of a right triangle.







Group of answer choices

Has a right angle

Has one obtuse angle

Has perpendicular lines

Has three acute angles

Answers

Answer:

aaaaa

Step-by-step expaalanation:

aa

Answer:

It should be answers one and three

At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?

Answers

go with the brother

7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12

Answers

B is the correct answer

PPT HELP !!!!!!!!!!!!11

Answers

Answer:

Step-by-step explanation:

a) 1 degrees Celsius (the line matches with that number)

b) -2 degrees Celsius

c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)

d) -0.5 degrees Celsius

e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)

I hope this makes sense and you understand it :)

32
Which of the following is equivalent to
(16^3/2)^1/2
?
6
8
12
64

Answers

Answer:

8

Step-by-step explanation:

Consider the expression

Answers

PHOTOMATHH !!!!!! Take a screenshot of it it’s quick

Which figure can be formed from the net?

Answers

Answer:

its the figure on the top left, so A

brainliest pls! :D

Answer: the third one

Step-by-step explanation:

i took the quiz on k12

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