A set of art exam scores are normally distributed with a mean of 81 points and a standard deviation of 10
points. Kamil got a score of 78 points on the exam.
What proportion of exam scores are lower than Kamil's score?
You may round your answer to four decimal places.

Answers

Answer 1

Answer: 0.3821

Step-by-step explanation: 0.3821 of exam scores are below Kamil’s score

Answer 2

Answer: 0.3821

Step-by-step explanation:


Related Questions

Mr. Smith plans to build a 3-foot-wide walkway

around the outside of the cabin, as shown in the floor

plan. What will be the area, in square feet, of the top

surface of the walkway?

A. 171

B. 324

360

396

720

Answers

Answer:

360

Step-by-step explanation:

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

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Find the 81st term of the arithmetic sequence -28, -34, -40, ...

Answers

Answer:

The answer is -508

Step-by-step explanation:

a81= -28+(81-1)(-6)

a81= -28+(80)(-6)

a81= -508

The 81st term of the arithmetic sequence will be -508. A series is a collection of sequences.

What is a sequence?

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.

[tex]\rm N^{th}\ term=a+(n-1)d\\\\\rm 81^{th}\ term=-28+(81-1)(-6)\\\\ 81^{th}\ term=-508[/tex]

Hence, the 81st term of the arithmetic sequence will be -508.

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Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply

A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.

Answers

Answer:

It is C i just had that question

Step-by-step explanation:

Answer:

just c i had that question too

Step-by-step explanation:

Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?

Answers

Answer:

Its D

Step-by-step explanation:

I need help!! I want to graduate!! The only class I have left please!!

Answers

Answer: Bro write the question better

Step-by-step explanation:

1.) D
2.) A

The other 2 don’t have the answers I got hope I helped some what

Write an equation of the line that passes through (-4,3) and (0,6).
An equation is y =

Answers

Answer:

y= ¾x +6

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient first.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Using the formula above,

[tex]m = \frac{6 - 3}{0 - ( - 4)} \\ m = \frac{3}{4} [/tex]

subst. the value of m into the equation.

[tex]y = \frac{3}{4} x + c[/tex]

To find c, substitute a coordinate.

When x=0, y=6,

[tex]6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{4} x + 6[/tex].

(x-5) (3x+6) standard form​

Answers

Answer:

Step-by-step explanation:

2x-3y=-2 y=-4x+2 can someone use substitution method for this question

Answers

Answer:

2x+4y=0

Step-by-step explanation:

Please help as quick as you can! Question is below! Brainliest!

Answers

Answer:

Cylinder =   [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Rectangle =   l*w*h

Cone =   1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Pyramid =   1/3 b*h

Step-by-step explanation:

What is the first step in solving quadratic equations by finding square roots?

Answers

Answer:

Give the positive and negative answer

Step-by-step explanation:

Answer:

The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.

Step-by-step explanation:

If x = 4 and y = 6 , evaluate the following expressions:

3(4x + 3y)

Answers

Answer:

102

Step-by-step explanation:

substitude xfor 4 and y for 6

then equation becomes3(4*4+3*6)

=102

hope this helps plzz mark me brainliest

Answer:

102

Step-by-step explanation:

3(4 x 4 + 3 x 6) = 102

3(16 + 18) = 102

3 x 34 = 102

102

That’s all i need to know. Thanks!

Answers

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

Answer:

c=5

Step-by-step explanation:

Using the unit circle find the exact value. CSC -30º =​

Answers

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

h(x) = x2 – 3
If the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g.
Find the expression for g(x).

Answers

Answer:

[tex]g(x)=x^2+1[/tex]

Step-by-step explanation:

The given function is

[tex]h(x)=x^2-3[/tex]

If a function translated vertically upward by p units, then we need to add p in the function value to get the new function.

It is given that if the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g. So,

[tex]g(x)=h(x)+4[/tex]

[tex]g(x)=x^2-3+4[/tex]

On simplification, we get

[tex]g(x)=x^2+1[/tex]

Therefore, the required function is [tex]g(x)=x^2+1[/tex].

Please help thank you!!!

Answers

Answer:

50 degrees

Step-by-step explanation:

53+77= 130

180-130= 50

Answer: 50º

Step-by-step explanation:

You know that the sum of all of the angles of a triangle are equal to 180º. Given 2 angles, we can use an equation to find the third angle. Let angle C be x

53º+77º+x=180º

130º+x=180º

Subtract 130

x=180º-130º

x=50º

The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2

Answers

It’s 27 1/2 which is the 3rd one

The 2 3/4 or 2.75 is equivalent to 275%.

What is Percentage?

The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.

The population of Gilbert increased by 275%. The equivalent to 275% will be:

To express as fraction and decimal, we divide 275 by 100.

= 275/100

= 2 3/4

= 2 + 0.75

= 2.75

So, the equivalent fraction is 275% = 2 3/4 or 2.75.

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Find the measure of arc BGF

Answers

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

In the figure angle a measures 41 degrees and angle d measures 32. What is the measurement of angle E?

Answers

Answer:

it is c

Step-by-step explanation:

Tamiko will use her credit card to purchase shoes online. The cost of the shoes is $98.75. She has $85.00 in her checking


account. Advantages and disadvantages for this payment method?

Answers

Answer:

The advantages and disadvantages of paying with a credit card in the case named are:

ADVANTAGES:

Tamiko can acquire the shoes despite she hasn't the money in her account.Securely her bank gives her points or other benefits for buying with a credit card, that in another occasion can enjoy in another product or service.Buying with a credit card improves her credit history to acquire in a future higher credits.

DISADVANTAGES:

How she hasn't all the money in her checking account, she can't pay all the cost in the first fee, then she must pay installment interests. The installment interests used to have higher percentages than another credit, reason why the cost of the shoes is actually higher than $98.75.

Step-by-step explanation:

Although you can see that the purchase with a credit card has 3 advantages and just 2 disadvantages, the best form to purchase with a credit card and having the benefits is pay all the amount in the first installment, in this form, we don't pay installment interests and will acquire points, improve our credit history and  will have a product or service at least 15 days before to pay it.

Answer:

Advantages:

-You are able to purchase something without having the total amount in cash.

-You are able to pay a purchase in several installments.

In the situation you can see that Tamiko doesn't have enough money in her checking account to buy the shoes but she can do it using the credit card.

Disadvantages:

-You have to pay interests on the purchases made.

-You can end up with a high debt because you might spend a high amount of money that you are not able to pay back.

Tamiko will have to pay interests on the purchase she made increasing the amount of money that she will actually spend on the shoes and if she uses the credit card all the time she might accumulate a debt that she is not able to pay back.

What is the value of x in the equation below?

40x + 120 = 720

21

18

15

12.5

Answers

Answer:

The answer would be 15.

Step-by-step explanation:

The first thing that you have to do is subtract 120 on both sides

40x + 120 = 720

        -120     -120

40x = 600

Then you have to divide by 40.

40x= 600

600 ÷ 40 = 15

x = 15.

I hope I helped

Answer:

15

Step-by-step explanation:

40×15=600+120=720

For 10 straight days Samantha measure the amount of food that her cat Dewey a recording the results

Answers

Answer:

is there like a table or something to help me with the question

For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x = 6. Lastly she divides both sides by -2 to get x =-3. Did Caitlin use the distributive property correctly?(Site 2)

Answers

Answer:

No.

Step-by-step explanation:

She wronged in Step 2, -2x + 2 = 8 .

The correct way is :

-2(x+1) = 8

-2x 2 = 8

A mechanic is using a machine that makes metal parts. She measures each part to confirm it is the correct size. Negative numbers mean the part is too small, and positive numbers mean the part is too big. Which list shows the numbers the mechanic records in order from least to greatest?
1/8 - 3/16 - 1/4 - 1/32 - 5/32 - 1/16

Answers

Answer:

A

Step-by-step explanation:

In the figure attached, the complete question is shown.

We have to transform all the fractions to new fractions with the same denominator, as follows:

1/8 *4/4 = 4/32

-3/16 *2/2 = -6/32

-1/4 *8/8 = -8/32

1/32

5/32

-1/16 *2/2 = -2/32

Now we can order the list simply comparing numerators:

-8/32, -6/32, -2/32, 1/32, 4/32, 5/32

or

-1/4, -3/16, -1/16, 1/32, 1/8, 5/32

The order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have a measurement data as shown:

1/8, - 3/16, - 1/4, 1/32,  5/32, - 1/16

We can write the above numbers as follows:

0.125, -0.1875, -0.25, 0,03125, 0.15625, -0.0625

The order from least to greatest:

-1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32

Thus, the order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.

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Enter the value of the 8 in the following number. 438.13

Answers

Answer:

8

Step-by-step explanation:

It is in the one's place, so it is just 8x1, which is 8

A triangle has sides of length 10 m, 15 m, and 8m. Is it a right triangle?

Answers

Answer:

The answer is no I believe

Step-by-step explanation:

A cone and a cylinder have the same height and their bases are congruent circles

If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.

Volume of cone = ⅓ × 90 = 30 cm³

The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N

Answers

Answer: rotation then translation

Step-by-step explanation:

The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation

The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.

So, the triangles can be transformed by

TranslationReflectionRotation

From the complete question, the triangles and rotated and translated

Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation

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Multiply. Show all your work. Use the Punnett Square, then combine like terms and simplify. Show your final answer outside the Squares.
6 points
(5x − 1)(6x2 + 3x + 7)

Answers

Answer:

30x³ + 9x² + 32x - 7

Step-by-step explanation:

i hope it's right : )

Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5

Answers

Answer:

-207.507490745

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