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

write the number in word form .0001

Answers

Answer:

0.0001 in word form is ten thousandth

Combine like terms to determine which expression with 2 terms is equivalent to 5x + 16y + 8x + 2y.

Answers

Answer:

you look for the same variables with the same powers

y: 16y +8y = 24y

x: 8x - 7x = x

y^2: 2y^2

and sum it all together at the end

Step-by-step explanation:

2y - 6 = 2
What value of y makes the following true

Answers

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senor Rick pays you $25. If you roll a 2, Senor Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or 5, you must pay Senor Rick $10, and if you roll a 6, you must pay Senor Rick $15. Is Senor Rick loco for proposing such a game? Explain.

Answers

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

A wheelbarrow has one wheel and a wagon has 4 wheels. Each day, a company has 160 wheels which makes 70 garden vehicles. How many of each vehicle can the company make?

Answers

Answer:

x = number of wheelbarrow = 40

y = number of wagon = 30

Step-by-step explanation:

Let

x = number of wheelbarrow

y = number of wagon

x + y = 70 (1)

x + 4y = 160 (2)

subtract (1) from (2) to eliminate variable x

4y - y = 160 - 70

3y = 90

y = 90/3

y =30

Substitute y = 30 into (1)

x + y = 70 (1)

x + 30 = 70

x = 70 - 30

x = 40

x = number of wheelbarrow = 40

y = number of wagon = 30

Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

8 hours for the possible numbers of house

Plis only answer correctly

Answers

Answer:

d

Step-by-step explanation:

d

dkimiunuhbubhwswdqwduoewdWEC W vcuuhdcosv

The answer is B
Because it’s the most likely

What is (x-7)(x-4) ????????

Answers

Answer:

x^2 -11x+28

Step-by-step explanation:

See Image below. I hoped this helped :)

Need help with this problem asap

Answers

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

helpppp meeee plsssssss

Answers

Answer:

Step-by-step explanation:

2 3/4 - 2 1/4

2/4 or 1/2 or 0.5 whichever you want to go with

Answer:

[tex]range = 2 \frac{1}{2} - 2 \frac{3}{4} \\ = \frac{5}{2} - \frac{11}{4} \\ = - \frac{1}{4} \\ = 7 - 1 \\ = 6[/tex]

Lots of points and brainliest!!!

A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?

The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.

Answers

Answer:

The toy falls at a rate of at least a Negative one-half meter per second.

Step-by-step explanation:

Answer:

the awnser is a or the pool is 1 meter deep

Step-by-step explanation:

i am smart and i got it right when i did it

Help I got a little confuse here!

Answers

Answer:

its 3a12/25568

Step-by-step explanation:

becuse i want to

a9= 3 (first term) • 2^(9-1)
= 3 • 2^8
= 768

help please ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

A , 10 unit square

B , 13 unit square

C , 9 unit square

D , 25 unit square

Step-by-step explanation:

I HOPE IT HELPS:))) !!!!

please answer the following on the attachment

Answers

Answer:

42cm²

Step-by-step explanation:

*internal screaming* okay, let's go:

So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:

So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:

0.5 x 2 = 1

7 - 1 = 6

So now we just do the basic rectangle area calculation:

7 x 6 = 42

So, I hope that the area of the shaded area is 42cm²

if this is wrong, let me know so I can fix it

hope this helps:/

State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS

Answers

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

(-18, -17)
(18,-17)
(18 , 17)
(-18 , 17)

Answers

Answer:

(-18, -17) in 3rd Quadrant

(18, -17) in 4th Quadrant

(18, 17) in 1st Quadrant

(-18, 17) in 2nd Quadrant

-TheUnknownScientist

What is the distance between -25 and -12 on a number line? Pls help im literally so bad at math and i cant get another one wrong

Answers

Answer:

it would be 13

Just do 25 -12

Consider marking brainliest

Answer:

13

Step-by-step explanation:

1) use the formula of distance:

|-25-(-12)|

2) remember that - * - = +

|-25+12|

3) solve the operation

|-13|

4) remember that a distance can’t be negative

13

How do you solve this proof?

Answers

Answer:

Angle = A

A7 = A4 (Alternate interior angles)

A14 = A11 (Vertically opposite angles)

A11 = A6(Corresponding angles)

A4 = A14 (Given)

From this, we can get A6 = A4

A6 and A4 are alternate angles and are equal. So c and d are parallel.

A7 + A10 = 180 (Linear pair of angles) - ( 1 )

A13 = A10(Alternate interior angles)

Putting A13 in place of A10 in ( 1 ),

A7 + A13 = 180

Hence proved

Ask doubts if any

Hi! Answer this please!

Answers

The answer would be b
The answer I think it would be is B.

Due tonight.. *no links*

Answers

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

[tex]84 + z=180\\z= 96[/tex]

Then we make the , simple algebra work!

[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

A. y = 3x

B. y = [tex]\frac{10}{x}[/tex]

C. x = [tex]\frac{y}{3}[/tex]

D. y = [tex]\frac{x}{10}[/tex]

Answers

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

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

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

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

y

=

10

x

Explanation:

y

varies inversely with  

x

y

1

x

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

k

=

2

×

5

=

10

y

=

10

x

Answer link

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

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

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

The answer is y=10/x


a) If there were 3 elephants at the zoo, how many hippos would there be?

Answers

Answer:

3 as well lol?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The ratio of the number of chickens to the number ducks is 7:2. The ratio of the number of ducks to the number of pigs is 5:9 There are 36 pigs on the farm.
Workout the number of chickens on the farm


Help plzz. ​

Answers

Answer: 70 chickens

Step-by-step explanation:

7:2

Chickens to ducks

5:9

Ducks to pigs.

There are 36 pigs. 9 is the ratio of pigs.

5 : 9

? : 36

9 x 4= 36

So multiply 5x4 to find the total ducks

=20 ducks

7 : 2

? : 20

So, 2x10 is 20 (ducks)

So 7x10 to find the chickens

(You have to balence out the sides and keep it equal

So if one side is multiplied by 10, the other is too)

7x10

= 70 chickens

The number of chickens in the farm is 70 chickens

The ratio of chickens to ducks is

7:2

The ratio of ducks to pigs is

5:9

There are 36 pigs in the farm

The first step is to calculate the total number of ducks

9-5

= 4

= 5×4

= 20 ducks

The next step is to calculate the number of chickens

= 7×10

= 70 chickens

Hence there are 70 chickens in the farm

Please see the ink below for more information

https://brainly.com/question/847212?referrer=searchResults

answer for brainilest and 15 points

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

3 ^ −2

= 1 / 9

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4 ^ -3

= 1 /64

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

21 ^ -1

= 1 / 21

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

5^ 2 / 5 ^ 3

= 1 / 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

9 ^ 3

= 1 / 729

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Brainlist?

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Brian built 3 wooden toys. Each toy had a mass of 5/7 kilograms. What was the total mass of the toys that he built

Answers

Answer:

2 1/7 kg

Step-by-step explanation:

Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg

Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please help me!!

Answers

Answer:

She will use 60.

Step-by-step explanation:

12 x 5 = 60

Hope this helps ⭐

Answer:

Hello! Answer: 60

Step-by-step explanation:

If she is using 5 grapes per strawberries then we would do 12 x 5 = 60 and 60 is our answer.

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:

angle relationships. please help me. i will give you brainlist. if you are right though.

Answers

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

The price of a 32 pack of water at heb is $2.98. The tax rate is 8% what is the final cost of the water

Answers

Answer:

The final cost of the water is $3.22.

Step-by-step explanation:

In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.

2.98*8%=0.24

2.98+0.24=3.22

According to this, the answer is that the final cost of the water is $3.22.

x y -28 -54 21 -40 -14 -26 What is the y-intercept of the line?

Answers

Answer:

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Step-by-step explanation:

digkskzdk the him her i the him and plane and the him and his team and plane to Southwest Florida state university and I am a are you sleeping in summer and I will have to check gel and plane with a safe and sound the him i I I i I I I will have to Southwest airlines at a safe and secure the bookings for tiles wall deposited by the rivers

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