2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.

Answers

Answer 1

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

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

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

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

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

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

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

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

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

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Related Questions

Item 2
Mia has $7 worth of quarters.

How many quarters does Mia have?


4 quarters

7 quarters

14 quarters

28 quarters

Answers

28 Quarters 7 times 4 = 28 Quarters

What is the solution to this system of equations?

3x-2y=5
x+2y=7

x=_, y=_

Answers

Step 1) Solve the second equation for

x

:

x

+

3

y

=

5

x

+

3

y

3

y

=

5

3

y

x

+

0

=

5

3

y

x

=

5

3

y

Step 2) Substitute

5

3

y

for

x

in the first equation and solve for

y

:

3

(

5

3

y

)

2

y

=

7

15

9

y

2

y

=

7

15

11

y

=

7

15

15

11

y

=

15

+

7

0

11

y

=

22

11

y

=

22

11

y

11

=

22

11

11

y

11

=

2

y

=

2

Step 3) Substitute

2

for

y

in the solution to the second equation at the end of Step 1 and calculate x:

x=−5−(3×−2)

x=−5−(−6)

x=−5+6

x=1

The solution is x=1 and y=−2

Answer:

Step-by-step explanation:

pls help
The distance from the Earth to the Sun is approximately 93,000,000 miles. What is this distance expressed in scientific notation? Answer options with 5 options A. 9.3 times 10 Superscript 6 Baseline miles B. 9.3 times 10 Superscript 7 Baseline miles C. 9.3 times 10 Superscript 8 Baseline miles D. 93 times 10 Superscript 6 Baseline miles E. 93 times 10 Superscript 7 Baseline miles

Answers

Answer:

B. 9.3 x 10^7

Step-by-step explanation:

9.<3<0<0<0<0<0<0.

Move the decimal point until there is only one whole number left.

I don’t know which one is correct.
A) a=80
b=100

B) a=60
b=120

C) a=70
b=110

D) a=72
b= 108
Please help thank you

Answers

Answer:

Your right the answer is B a=60 , b=120

A ratio of 1:2 just means one value is twice that of the other.

Answer:

B (a=60, b=120)

Step-by-step explanation:

1. m∠AOB = 180°

2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.

3. a+b = 180, so x+2x = 180, 3x = 180, x = 60

4. x = a, so if x=60, then a = 60

5. if b=2x, then b = 2a, which is 2*60 = 120

Hope this helps

20 points help me plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

D. 4,   B. 4,   C. 8

Step-by-step explanation:

The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles.  (The actual average is 3.88.)

The most number of miles run (look for tallest column of dots) is 4.

The number of people who ran is 8 (count the dots above the 5-mile label).

Select the correct answer.
The parent cosine function is shifted 5 units left, then vertically stretched by a factor of 4 and shifted up 2 units. Which statement is true about the graph of the transformed function?
A. midline is y=8
B. midline is y=5
C. midline is y=4
D. midline is y=2

Answers

Answer: d y=2

Step-by-step explanation:

Using shifting concepts, it is found that the midline is y = 2, given by option D.

--------------------------------

For the parent function [tex]y = \cos{x}[/tex], the midline is at [tex]y = 0[/tex].If the function is shifted up or down, the midline will also be shifted up or down.In this question, the parent function is shifted up 2 units, thus, the midline is also shifted up 2 units, and will be given by y = 0 + 2 = 2.The correct option is D.

A similar problem is given at https://brainly.com/question/24465194

Item 8
Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.

How long did the cake bake?

Answers

Answer:

53 minutes

Step-by-step explanation:

3:08-4:08 is exactly 1 hour

4:01-4:08 is 7 minutes difference

1 hour minus 7 minutes is 53 minutes

hope this helped! have a great day :)

The solution is : Ethan for 53 minutes baked the cake .

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.

now, we have to find the time for the cake baked.

now, we get,

3:08-4:08 is exactly 1 hour

then, we have,

4:01-4:08 is 7 minutes difference

so, we get,

from 3.08pm to 4.01pm, the difference is:

1 hour minus 7 minutes is 53 minutes

Hence, The solution is : Ethan for 53 minutes baked the cake .

To learn more on subtraction click:

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Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.

25, 29, 58, 27, 23, 26, 27, 25, 28, 24

Answers

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

20 POINTS ILL GIVE BRAINLY TO THE FISRT ANSWER:
Find the requested composition of functions.
Given f(x) = 5x + 12 and g(x) = 4x -1, find f ° g(x)

Answers

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go
charges a $2 monthly fee plus $4 per game. Which function rule would represent Games-R-Us and Games2Go
where f(x) represents the total amount and x represents the amount per game?

Games-R-Us:f(x) = 2x + 10
Games2Go:x) = 4x + 2

Games-R-Us: f(x) = 2x + 10
Games2Go: v) = 22 + 4

Games-R-Us:/(x) = 10x + 2
Games2Go: ) = 2x + 4

Games-R-Us:) = 10x + 2
Games2Go: f(x) = 4x + 2

Answers

Answer:

Games-R-Us:f(x) = 2x + 10

Games2Go:x) = 4x + 2

Step-by-step explanation:

Please help me out
No links!
Thank you

Answers

Answer:

4 batches of fudge brownies

1 batch of peanut butter brownies

Step-by-step explanation:

5 × 4 = 20

6 × 1 = 6

20 + 6 = 26

:)

I WILL GIVE BRIANLIEST TO THE FIRST PERSON TO ANSWER 13,14,15 AND EXTRA POINTS

Answers

Answer:

Hello! answers:

Question 13: 12

Question 14: 18

Question 15: 15

Hope that helps!

For question 13 I found the answer by doing 6 ÷ 2 and 6 ÷ 2 = 3 so I know that 4 will be enlarged by 3 so 4 × 3 = 12 so 12 is the answer for 13

For question 14 I found the answer by using 1 of the sides so I did 24 ÷ 16 and 24 ÷ 16 = 1.5 and 1.5 × 12 = 18 so the answer is 18

For question 15 I did the same thing!

25 ÷ 20 = 1.25 and 1.25 × 12 = 15 so 15 is the answer Hope that helps!

The mass, m, of a lorry is 9.23 tonnes rounded to 2 decimal places.
Write the error interval for m​

Answers

Answer:

9.225 < x [tex]\leq[/tex] 9.235

Step-by-step explanation:

Volume of a hexagonal prism with a base side length of 2 inches and a height of 8 inches, the prism is regular. Also it would be a big help if you could calculate the lateral area and the total area. Thanks so much

Answers

Answer:

V≈83.14

AL=96

Surface A≈116.78

Base A≈10.39

Step-by-step explanation:

Step-by-step explanation:

base area of hexagonal prism =

6× ½×(2)(2)× sin 60° (regular prism)

= 12×½√3 = 6√3 sq. inches

Volume = base are x height

= 6√3 x 8 = 48√3 cu. inches

or 83.14 cu. inches

the lateral area = 6 × (2×8) = 96 sq. inches

total area = 2×(6√3) + 96

= (123 + 96) sq. inches

or 116.78 sq. inches

Using the digits 0 through 9 at most one time fill in the boxes to make the sum of the interior angles of a triangle

Answers

Answer:

fucififif8tdufifydjvkzhckgkf

Q6. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm.
(a)
Work out the volume of solid B.

Answers

Answer:

640cm³

Step-by-step explanation:

Length SF = ×2

Volume SF = ×2³ = ×8

Volume of B = 8 × 80 = 640cm³

The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm³.

The scale factor is given as,

Scale factor = 8 / 4

Scale factor = 2

The scale factor of the volume is given as,

⇒ 2³

⇒ 8

Then the volume of the solid B will be given as,

Volume of B = 8 x 80

Volume of B = 640 cm³

The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.

More about the volume link is given below.

https://brainly.com/question/1578538

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need help plz will give brainy not sure if i got it right

Answers

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope= -10/3, y- intercept=5

Answers

The answer to this question is y= -10/3x+5

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

See more on this topic here: https://brainly.com/question/17788099

PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest

An artist joined three square regions at their
vertices to create the figure shown in the diagram.

The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?

A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.

B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.

C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.

D. None of these

Answers

Answer:

C. The number of tiles needed to cover Region Z  is the same as the number of tiles needed to cover both Region X and Region Y.

Step-by-step explanation:

I don’t understand it please help

Answers

Answer:

Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.

Step-by-step explanation:

f(3) = 16

f(4) = 21

f(5) = 26

f(8) = 41

Please do mark as brainliest. Hope this helps! :)

Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. which is the better deal for you?​

Answers

Answer:

drip

Step-by-step explanation:

a person travelled 9 hours a day what percentage of the day was spent on this journey​

Answers

Answer:

37.5%

Step-by-step explanation:

one day has 24 hours

100%->24

1%->0.24

9÷0.24 = 37.5%

Answer:

37.5%

Step-by-step explanation:

Hours he spent = 9

Total hours= 24

Percenag = 9/ 24 x 100 = 37.5%

I hope im right1

p and q are both prime numbers.

They are each less than 22

Give an example where p+q is odd but not prime.

You must only write the two numbers in the answer box.

0

Answers

Answer:

p = 2

q = 7

..................

The two numbers are,

⇒ p = 13 and q = 2

What are Prime numbers?

Prime number is a whole number greater than 1 whose only factors are 1 and itself.

Here, p and q are both prime numbers and each less than 22.

Now, Both number p and q are prime numbers.

Let p = 13 and q = 2

Clearly, The number 13 and 2 both are prime numbers and less than 22.

Hence, p + q = 13 + 2 = 15

Since, 15 is an odd number but not prime.

So, The two numbers are,

p = 13 and q = 2

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Malik randomly picked two different numbers from 1 to 9. The first one was odd. What is the probability that Malik picked a second odd number given that the first number was odd?

Answers

Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit

Answers

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

m is the slope of the lineb is the y-intercept

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.

Answers

Answer:

The polynomial equation to give the difference in profit D after x years is:

D = 3.4x + 5

Step-by-step explanation:

To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:

Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)

And we operate:

D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5

We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:

Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millions

Profit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millions

Now, we subtract the two values:

Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.

At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):

D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2

As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.

Answer:

D=0.5x+2

$7000000

Step-by-step explanation:

(2.4x10^3)+(5.7x10^2)

what is the value

Answers

Answer: 2970

Step-by-step explanation:

First, you do the first exponent in the first part which is 10^3 and the answer for that is 1000. Then you do 2.4x1000 which is 2400. Afterwards you do the second part's exponent which is 10^2 and you get 100 for that. Next, you do 5.7x100 which is 570. Finally you add 2400+570 and get 2970.

Answer:

Step-by-step explanation:

(2.4 x 10³) + (5.7 x 10²)

(2.4 x 1000) + (5.7 x 100)

2400 + 570

2970

what is the value of 8 in 293,581

Answers

is it a decimal ? or a whole number ?

if it is a decimal , the value is 8 tenths

if it’s a whole number , the value is 8 tens

hope this helped

An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.

Answers

I think the answer is E

 Please answer correctly !!!!Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Hello! Your answer would be, C)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

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