A teacher's grades are normally distributed with a mean of 75 and a standard deviation
of 8.6. What is the probability that a student will score between 56 and 72?

Answers

Answer 1

Answer:

34.9%

Step-by-step explanation:

Z1=[tex]\frac{56-75}{8.6}[/tex] = -2.21

F(Z1) = 0.9861

Z2=[tex]\frac{72-75}{8.6}[/tex] = -0.35

F(Z2) = 0.6367

P(56<X<72)= 0.9862-0.6367= 0.349 = 34.9%


Related Questions

what is the total number of outcomes from selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pants

Answers

Answer:

20

Step-by-step explanation:

4x5/20

Nadia thinks of a number she finds the squre root and the divides it by 5 her answer is 20 what number is she thinking of

Answers

Answer:

10000

Step-by-step explanation:

Let the number = x

Square root of x divided by 5 equals 20

√x / 5 = 20

Using cross multiplication

√x = 20 * 5

√x = 100

Take the square of both sides

(√x)² = 100²

x = 10000

Therefore, the number is 10000

A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?


A.4/15


B.3/15


C.4/3


D.4/9

Answers

A.

Explanation;

Just count all the people who bought books, then the people who bought books, giving you 4/15

x=5 so what is (x+3)² =​

Answers

(3+x)²

(5+3)²=

8²=

64

.

.

.

.

Answer:

64

Step-by-step explanation:

Since x=5

(5+3)^2

(8)^2= 64

if EFGH is a trapezoid, find its perimeter.​​

Answers

40.5
Trust me i did it and got it right!! if its wrong lmk and i can explain it for u

area and perimeter i need help with problems 2 & 3

Answers

Answer:

number 1:area is 30 , perimeter is 22

number 2:area is 450 perimeter is 29

Step-by-step explanation:

Answer:

1 = 30, 22. 2 = 45, 33.

Step-by-step explanation:

For step 1, multiply the numbers to get the area, then double them and add them all to get the perimeter.

For step 2, multiply the two sets of numbers, 5 and 3, and 6 and 5, and add them. For the perimeter do the same as step 1.

Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11

Answers

Answer:

The area of the triangle is 351cm^2.

Step-by-step explanation:

To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.

Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.

Using Pythagoras' Theorem,

AB^2 = AT^2 + TB^2

AT^2 = AB^2 - TB^2

AT^2 = 30^2 - (26/2)^2

AT^2 = 30^2 - 13^2

AT =

[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]

AT = 27.0370116692

So the length of AT is our height. We can now find the area of the triangle.

Area of triangle = (1/2) x 26cm x AT

Area of triangle = 351.4811516996

Area of triangle = 351cm^2 (To 3s.f.)

Please help i know this is kind of easy but I am having a hard time with it unfortunately​

Answers

Answer:

C

Step-by-step explanation:

y= 60(2)+10

y=130

y=65(2)

y=130

The length of a rectangle is three times the width. The area is 108cm. Find the
dimensions of the rectangle.

Answers

the dimensions of the rectangle are 9 and 3

Step-by-step explanation:

108÷4=27 and 27 ÷3=9

This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.

Answers

Answer:

A), C), E)

Step-by-step explanation:

What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>

Answers

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

What is the domain of the function shown in the graph?

Answers

It might be C but I’m not to sure

Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.​

Answers

Answer:

3f + d or d +3f

can anyone help with these 4 questions?

Answers

Answer:

hablas español?? Si o no ?

1. 60°
2. 120°
3. 96°
4. 90-50=40°

4 is a complimentary angle

Eduardo has a wooden dowel rod that is StartFraction 8 Over 15 EndFraction of a yard long that he needs to cut into 24 equal-length pieces. What is the length of each piece of dowel rod?
StartFraction 1 Over 60 EndFraction of a yard
StartFraction 1 Over 45 EndFraction of a yard
StartFraction 5 Over 64 EndFraction of a yard
StartFraction 5 Over 8 EndFraction of a yard

Answers

Answer:

StartFraction 1 Over 45 EndFraction of a yard

Step-by-step explanation:

Length of the wooden dowel rod = 8/15 of a yard

Number of pieces = 24

What is the length of each piece of dowel rod?

Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces

= 8/15 ÷ 24

= 8/15 × 1/24

= (8*1) / (15*24)

= 8/360

= 1/45

Length of each piece of dowel rod = 1/45 of a yard

Answer:

2nd one

Step-by-step explanation:

"Both of us got to be just like Joe Louis toward the end" is an example of... *

metaphor
personification
alliteration
allusion

Answers

This is a metaphor because it was comparing

here jwu4444 thank u so much

Answers

Answer:

0

Step-by-step explanation:

Answer:

you're welcome

glad to help!

find the area of the triangle below!!!

Answers

Answer:

[tex]104in^{2}[/tex]

Step-by-step explanation:

area of a triangle is just (b)(h)/2

(13)(16)/2

208/2

104 in squared

Answer:

104ft²

Step-by-step explanation:

formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The triangle shown has a base length of 16 ft and a height of 13 ft

Using this information we plug in the values into the formula

[tex]A=\frac{16*13}{2}\\16*13=208\\\frac{208}{2} =104\\A=104ft^2[/tex]

Hence, the answer is 104ft²

What is the Area of the triangle?

Answers

Answer:

Hello There!!

Step-by-step explanation:

I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.

hope this helps,have a great day!!

~Pinky~

Answer:

54m^2

Step-by-step explanation:

Area of triangle is base * height /2

18*6/2

108/2

54

If a point is randomly chosen on the square shown, what is the probability that it will be in the red section?
A)
AA
B
)
WP
M
D)
Pa

Answers

Answer:  A) 1/4

Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

Answers

Answer:

17.5

Step-by-step explanation:

y=kx

35 = k(140)

k = 0.25

(k is constant of proportionality)

y = (0.25)(70)

y=17.5

Which part of the human body is more complex, your heart or your circulatory system?

Answers

Circulatory system as it is full system and the heart is part of it.
Answer:

Heart

Explanation:

heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.

Which activity at the grocery store would not involve mathematics?
A. choosing what kind of apple to buy
B. buying enough ingredients to double a recipe
C. finding out how much 1 item would cost when the price is 2 for $4.00
D. calculating the total cost of the items in your cart

Answers

Answer:

b

Step-by-step explanation:

Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid

A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft

Answers

Answer:92.84

Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12

The perimeter of the trapezium is 143.94 ft.

We have,

The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.

In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.

To find the length of the non-parallel sides we can use the Pythagorean theorem:

a² = (39 - 27/2)² + 12²

a² = 1440

a ≈ 37.95 ft

Therefore,

The perimeter of the trapezium is:

P = 27 + 39 + 2a

P ≈ 27 + 39 + 2(37.95)

P ≈ 143.9 ft

Rounding to the nearest hundredth place,

we get P ≈ 143.94 ft.

Thus,

The perimeter of the trapezium is 143.94 ft.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ7

Solve. 4x + 3 = -13



A. x = -4

B. x = 4

C. x = 64

D. x = -64

Answers

Answer:

4x=-16

x=-4 is your answer

Answer:A) x = -4

Additive inverse -3 to both sides 4x=-16

The divide both sides by 4, x=-4

Step-by-step explanation:

I need help ASAP how do I do this

Answers

96. (Text that is longer than 20 characters goes here)

the staff has a meeting every morning.how long do they spend on meetings in a fortnight?​

Answers

Answer:

isn't a fortnight 14?

Step-by-step explanation:


Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7

Answers

Answer: A. -6=n

Step-by-step explanation:

3(x - 2) =7x+n

3x-6=7x+n

-6=4x+n

-6=4(0)+n

-6=n

35 POINTS AND BRAINLIEST SHOW ALL WORK

9-2x=35 THANK YOUUU

Answers

Answer:

x = -13

Step-by-step explanation:

Step 1: Rearrange terms

9-2x=35

-2x+9=35

Step 2: Subtract from both sides of the equation

-2x+9-9=35-9

Step 3: Simplify

-2x+0=26

-2x=26

Step 4: Divide both sides of the equation by the same term

-2x/-2 = 26/-2

Step 5: Simplify

x = 26/-2

x=-13

Forty-four people paid $1.85 each for a hot dog at a vending cart in Altura Park. How many dollars did they pay combined?

Answers

Answer:

They paid 81.4 all together.

Step-by-step explanation:

Multiply 44 times 1.85 as each person paid $1.85.

44*1.85=81.4

Other Questions
What is the solution set for -4x-10 2? A pair of laces has a price tag of $7.00. The sales tax is 0.08 on every $1 . Which is the total price of the laces? Determine the amplitude or period as requested. Amplitude of y = 1/2 * cos 5x How does the painting above clearly represent Realism? what is the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7?A. The graph of f(x) is shifted 7 units upB. The graph of f(x) is shifted 7 units to the leftC. The graph of f(x) is shifted 7 units downD. The graph of f(x) is shifted 7 units to the right evaluate (11.6)^2 by using (a^2+b^2+2ab) Why is the barycenter not necessarily in the "center"? - 4(y-2) = 12Whats the value of x?Explain what two qualities of modern war bothered churchill What is not as a way of citizenship and/or naturalization for South Africa?A) citizenship by birth B) citizenship by descent C) citizenship by naturalization D) citizenship by military service Do explores need to consider what might be killed as a result of the expression? Why could farming in the Middle Colonies be so intensive?A) Lots of competitors for profits.B) Too many demands from Europe.C). Strictly regulated by the colonial government.D). The one major crop was wheat. a rocket sled decelerates from 400m/s to 0 in 5 seconds. Calculate the acceleratio What's the answer? 2 x 4 / 5 A) write the name of any two instrument based on atmoshpheric pressure.B)Which chemical is used to increase the setting period of cement?C)What are the near point and far point of normal eye? Poems by Robert Frost Vocabulary Warm-up Word ListsWord List A boulders [BOHL duhrz] n. large rocks Being careful not to slip, we clambered over the wet boulders in the stream. limp [LIMP] adj. drooping; lacking firmness or energy After a hard days work, my entire body felt limp with fatigue. mischief [MIS chif] n. harm or damage; playful trick or prank; misbehavior Tom Sawyers aunt often suspected that he had been up to some mischief or other. offense [uh FENS] n. wrong; occasion for disrespect Tinas tactless remark did not mean to give any offense.poise [POYZ] n. balance; confident, dignified bearing Many of Kates classmates admired her poise as a classical ballet dancer. proclaimed [proh KLAYMD] v. formally announced Memorial Day was proclaimed as a national holiday at the end of the Civil War. shed [SHED] v. to cast off In our area, birches are some of the first trees to shed their leaves in early autumn. subdued [suhb DOOD] v. conquered; vanished In 1870, the Germans subdued the French in the Franco-Prussian War. Exercise A Fill in the blanks, using each word from Word List A only once. In his dream, Tom was up to [1]___ again, playing hooky from school. He officially [2]___ to Ralph, his best friend, that the weather was too nice to spend the day indoors studying reading and math. When Ralph objected that they would be punished, Tom [3]___ all his buddys doubts by pointing out that they could use their trip to the swimming hole as a field trip, collecting rock samples for science class. The boys spent all morning jumping over the large [4]___ in the river. Before they [5]___ their clothes to go swimming, Tom insisted that they carry out their field trip mission. With considerable [6]___ , he identified several types of mineral deposits in the rocks. Ralph discovered a dead fish, lying [7]___ at the bottom of a shallow pool. I wonder what it died of, he said. Tom suggested it might have been poisoned. Both boys knew it was a serious [8]___ to let polluted run-off get into the river, so they decided to report their finding at school the next day. !!!!!!!!!! A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would beinterested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacherpredict will participate in the program?O A) 12 studentsOB) S4 studentsC) 140 studentsD) 168 students Determine whether the graphs of the given equations are parallel, perpendicular, or neither. When the cost per class is increased by $50, the revenue will be $0. True False Pls help me with this equation