HELPPPP

Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6. What is the probability that an incoming freshman scores between 61.6 and 80.2?

Answers

Answer 1

Answer:

The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498

Step-by-step explanation:

We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.

Mean = [tex]\mu = 76[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)

Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]

At x = 61.6

So,[tex]Z=\frac{61.6-76}{6}[/tex]

Z=-2.4

Refer the z table for p value

So,p value =0.0082

At x = 80.2

So,[tex]Z=\frac{80.2-76}{6}[/tex]

Z=0.7

Refer the z table for p value

So,p value =0.7580

P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498

Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498


Related Questions

HELP ASAP
Find the volume of the corner, R measures 10 feet, height measures 30 feet​

Answers

Answer:

3141.59

Step-by-step explanation:

Answer:

[tex]3141.59 \: \: {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

π

{r}^{2}

\frac{h}{3}

\\

=

π

·

{10}^{2}

·

\frac{30}{3}

\\

3141.59265

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Sara ​says, "If you subtract 15 from my number and multiply the difference by negative 4​, the result is negative 48​." What is Sara's number?

Answers

Answer:

I'm not 100% sure but I believe the answer is 27

because -48/-4=12

12+15=27

Answer:

Write the equation and go backwards.

N - 15 x -4 = -48

Instead of multiply divide and add instead of subtract

-48/-4=12

12+15=27

check if 27 is correct. 27-15=12 x -4 = -48

27 is your number. Hope this helps

Step-by-step explanation:

Find the product. (-3ab2)3

Answers

Answer:

answer is -27 a^3b^6

Step-by-step explanation:

use power rules (b^n)^m = b^(n⋅m)

What will be the distance from the center of dilation, P, to the
image S'?
2 units
4 units
6 units
8 units

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 units on edge

Step-by-step explanation:

Select the correct answer.
Find the area of the rectangle by multiplying its length and width-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A. (21x2 − 17x + 2) square units
B. (21x2 − 11x + 2) square units
C. (21x2 + 2) square units
D. (21x2 + 11x + 2) square units

Answers

Answer:

b

Step-by-step explanation:

If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.

Answers

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

find the missing angle in the triangle

Answers

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

the answer is 45°

90/2=45

Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in

Answers

The answer is A. 3.0 inches

2/5 of it is 22.

Pls help me I'm really stuck on this

Answers

Answer: 55  

Step-by-step explanation:

2/5  * x = 22

2/5x = 22

x=  55

Choose the appropriate plan letter for each question
Plan____ has the lowest range
Plan____ has the highest y intercept
Plan___ is the plane that is the best value

Answers

c is the lowest range

a has the highest y incerpt

d is the best value

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Step-by-step explanaAnswer:

\frac{-2y+5x}{3x-2y}

Step-by-step explanation:

Given:

\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}

To simplify this expression, first make the addition and the subtraction, to get:

\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=

Next, simplify the two denominators, to get:

\frac{-2y+5x}{3x-2y}tion:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you ..

A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?

Answers

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

Learn more about the mathematical expression visit:

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#SPJ5

Find the value of x.

Answers

Answer:

x=51

Step-by-step explanation:

Formula:  35+16=x

Step 1: Simplify both sides of the equation.

35+16=x

(35+16)=x(Combine Like Terms)

51=x

51=x

Step 2: Flip the equation.

x=51

Hope this helps.

You are making Chicken Tikka Masala. The recipe asks for 1/3 cup of butter and you want to make 3/9 of the original recipe. How many cups of butter will you need?

Answers

Answer:

1/9

Step-by-step explanation:

3/8 = 1/3

1/3 × 1/3 = 1/9

Answer:

1/9

Step-by-step explanation:

3/9 of original recipe

3/9=1/3 (on simplifing) Is the recipe we want to make

so 1/3 of the recipe we want to make

=(1/3) * (1/3)

=1/9

Hope it helps, Pls Marks as Brainliest!!

Solve: x(squared) = 5x - 6
A. 3, 2 B. -3, -2 C. (x – 3)(x – 2) D. no solution

Answers

Answer:

x=-3   x=-2

Step-by-step explanation:

x^2 = 5x-6

Subtract x^2 from each side

x^2 - x^2 = -x^2 -5x-6

0 = -x^2 -5x-6

0 =-(x^2 +5x+6)

Factor

0 = (x+3)(x+2)

Using the zero product property

0=x+3   0=x+2

x=-3   x=-2




Solve for m.

-7 + 4m + 10 = 15 -2m



Answers

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

Answer:

m = 2.

Step-by-step explanation:

-7 + 4m + 10 = 15 - 2m

4m + 2m = 15 + 7 - 10

6m = 12

m = 2.

Ms. B rolls a standard six sided
die and flipped a coin. What is
the likelihood that she will roll a
factor of 8 and the coin will
land on heads?

Answers

Answer:

50/50

Step-by-step explanation:

H=heads T=tails
Factors of 8: 1, 2, 4

All possible outcomes:
1H <
1T
2H <
2T
3H
3T
4H <
5T
5H
5T
6H
6T

Likelihood of rolling a factor of 8 and landing on heads: 3/12 or 1/4

What is the area of this composite figure?
4 cm
7.5 cm
15,5 cm
18 cm

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 249 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the composite figure can be written as,

Area = ABCG + DEFG =  (4×10.5) + (11.5×18) = 42+207 = 249cm²

Hence, the area of the composite figure is 249 cm².

Learn more about Area:

https://brainly.com/question/1631786

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Find the volume of the cone

Answers

Answer:

V≈628.32 units³

Step-by-step explanation:

I used the formula:

V=πr2h/3 (h/3 as in a fraction)

Hope this helps!

The answer is 628.32

because the formula is

V=πr2h/3

Place the indicated product in the proper location on the grid.

(ab - 9)(ab + 8)


Answers

Answer:

(2b)

Step-by-step explanation:

In the similar quadrilaterals below, what is the length of AB
10 cm
2.5 cm
8 cm
3 cm


Answers

Answer:

Side AB is 10 cm.

Step-by-step explanation:

The given quadrilaterals ABCD and EFGH are similar.

From the given figure, we can observe the following angles and sides are corresponding.

[tex]\angle A = \angle E=90^\circ\\\angle B = \angle F=63^\circ\\\angle C = \angle G=117^\circ\\\angle D = \angle H=90^\circ[/tex]

Ratio of corresponding sides will be equal:

AB:EF = BC: FG = CD:GH = DA:HE

We have to find the side AB.

Given the sides

EF = 5 cm

BC = 9 cm

DA = 8 cm

EH = 4 cm

So, ratio DA:EH = 8:4 = 2:1

We know that ratio of corresponding sides will be same:

AB:EF = DA:EH

[tex]\Rightarrow \dfrac{AB}{5} = \dfrac{2}{1}\\\Rightarrow AB = 10 cm[/tex]

So, side AB is 10 cm.

Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint

Answers

Answer:

one pint

Step-by-step explanation:

This is because one pint is larger than one cup, there are two cups in a pint.

One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.

Answer:

pint

Step-by-step explanation:

1 Pint is equal to 0.47317647299 liter.

Liter and Pint are the largest on there, and pint is bigger.

Hope this helps! :)

Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°

Answers

Answer:

[tex]Z_{1} Z_{2} = 3 i[/tex]

Step-by-step explanation:

Step(i):-

Given z 1 = 3(cos 37° + i sin 37°)

          z 2 = (cos 53° + i sin 53°)

by using complex numbers

      [tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]

      [tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]

step(ii):-

now

   [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

       z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°

       z ₂ = (cos 53° + i sin 53°) = c i s 53°

we will use formula

     [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

     [tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]

    [tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]

    [tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]

Conclusion:-

       [tex]Z_{1} Z_{2} = 3 i[/tex]

       

 

     

Answer:

2i

Step-by-step explanation:

z 2 = 2/3(cos53° + isin53°

I got it right on odyssey ware

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Answers

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is

Answers

Answer:

2/2

Step-by-step explanation:

There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.

DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?

130,000
131,404
128,000
399,876

Answers

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle

Answers

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

Answer:

W=2 units

Step-by-step explanation:

Length=L

Width=L-4

Area of a rectangle= L*W

L(L-4)=12

L^2-4L=12

L^2-4l-12=0

Now we have a quadratic equation

(L-6)(L+2)=0

L=6, L=-2

L cannot be -2 because it is negative, so L must be 6.

BUT it is asking for the width

and it is given that the width is the length minus 4 units, so

6-4= 2 units

you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?

Answers

Answer:

tan 30 = height of building / 40

height = 40 × 1/√3=40/√3

or = 23.1 feet

pls help pls its hard ....

Answers

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

a pitcher contains 17.5 cups of iced tea. you drink 0.75 cup of tea each morning and 1.75 cups of tea each evening. when will you run out of iced tea?

Answers

Answer:

7 days

Step-by-step explanation:

Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.

The total number of cups drank per day is:

= 0.75 + 1.75

= 2.5 cups

With 2.5 cups being drank per day, the pitcher would last:

= Pitcher quantity / Cups per day

= 17.5/2.5

= 7 days

In conclusion, you will run out after 7 days.

Find out more at https://brainly.com/question/13426420.

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