In 2016, the mean score on the AP Biology exam was 3.10, with a standard deviation of 1.05. The mean score on the AP US History exam was a 2.74, with a standard deviation of 1.42. What is the combined mean and standard deviation for these exams

Answers

Answer 1

Answer:

the combined mean and standard deviation for these exams are

mean = 5.84

standard deviation = 1.766

Step-by-step explanation:

Given that;

mean score and standard deviation of AP biology was;

x'1 = 3.10,    S1 =  1.05

mean score and standard deviation of AP US History was;

x'2 = 2.74,    S1 =  1.42

Now combined mean = x'1 + x'2 = 3.10 + 2.74 = 5.84

standard deviation combined = √( S1² + S2²)

= √( (1.05²) + (1.42)²)

= √( 1.1025 + 2.0164)

= √3.1189

= 1.766

Therefore

the combined mean and standard deviation for these exams are

mean = 5.84

standard deviation = 1.766


Related Questions

Last month a car dealership sold 80 cats. Of all cars sold 15% of them were red how many cars that were sold were red

•12
•14
•65
•68

Answers

Answer:

12

Step-by-step explanation:

Multiply 80 by .15

it is 12............ :))

A recipe for fruit punch requires 5 cups of pineapple juice and 8 cups of ginger ale. Find the amounts of pineapple juice and ginger ale that must be used to produce different amounts of this punch.

Answers

Answer:

answer below

Step-by-step explanation:

simply multiply by different numbers so...

5/8 x 2 = 10/16

5/8 x 3 = 15/24

and so on; as long as it can reduce to 5/8, it works!

PLEASE HELP I AM STRUGGLING

Answers

Answer:

y=-2x+2

Step-by-step explanation:

the slope intercept form is y=mx+b

slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be

(14-2)/(-6-0). which out simplify to -2.

y-intercept - the y-intercept is given in one of the points (0,2).

Please answer this ASAP

Answers

9514 1404 393

Explanation:

1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given

2. ∆ABC is isosceles . . . . definition of isosceles triangle

3. BA ≅ BC . . . . definition of isosceles triangle

4. ∆BDA ≅ ∆BEC . . . . HL theorem

5. AC ≅ CE . . . . CPCTC

Point V is on line segment \overline{UW}
UW
. Given VW=5x-4,VW=5x−4, UV=2x,UV=2x, and UW=5x,UW=5x, determine the numerical length of \overline{VW}.
VW
.

Answers

Answer:

Vw=6

Step-by-step explanation:

The numerical length of VW is 16 units.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 12 -2 = 10

Given VW = 5x-4,

VW = 5x−4,

UV = 2x, and

UW = 5x,

By segment addition postulate:  UV + VW = UW

Substituting expressions given for each:

⇒ 2x + 5x − 4 = 5x

⇒ 2x = 4

⇒ x = 4

So, VW = 5(4) - 4

VW = 20 - 4

VW = 16

Hence, the numerical length of VW is 16 units.

Learn more about the arithmetic operations here:

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Find the slope of the line through (2, -3) and (5, -3)

Answers

Answer:

0

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3 - -3)/ ( 5-2)

   = ( -3+3)/(5-2)

  = 0/3

  =0

Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?

Answers

Answer:

No he does not have enough walnuts

Step-by-step explanation:

So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough

Answer:

No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.

Step-by-step explanation:

[tex]2s+5\geq 49[/tex]

Answers

Answer:

s≥22

Step-by-step explanation:

49-5

2s≥44

divide both sides of the inequality by 2

so 2s≥44 then turn into s≥22

The mean height of women in a country (ages 20 - 29) is 64.3 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.81. The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All All parts showing e​

Answers

Answer:  0.4016

Step-by-step explanation:

Let x be a random variable that represents the height of women in a country.

Mean : [tex]\mu=64.3[/tex] inches

Sample size : n= 65

Standard deviation: [tex]\sigma=2.81[/tex]

The probability that the mean height for the sample is greater than 65 inches = [tex]P(x>65)=1-P(x<65)[/tex]

[tex]=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016[/tex]

Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016

2. What is the greatest
common factor of 18 and
36?
A.18
B. 36
C. 72
D. 144


Answers

Answer: 18 and 36 is A.

Step-by-step explanation:

simplify: 10x-6(7+x)

Answers

Answer:

4 x − 4 2

Step-by-step explanation:

Answer:

4x−42

Step-by-step explanation:

10x-6(7+x)

Distribute

10x+(−6)(7)+(−6)(x)

combine like terms

10x+−42+−6x

10x-6x-42

4x+−42

A landscaper plants 18 bushes in a 36-foot section of land along the side of a house. How many bushes does the landscaper plant in a 10-foot section of land?

A.5
B.8
C.9
D.12

Answers

Answer:

Step-by-step explanation:

18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.

what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah

Answers

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

first you start with

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

then you multiply the rest

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

now times by 4

1.8816757e+77 x 4

=

7.5267028e+77

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

bro this was so hard , , ,

3. What is the equation of the line that
passes through the point (1,5); and
is parallel to the equation. y= -2x - 4

Answers

hello

so when finding a parallel line both lines need to have the same slope, the slope of the line from the given equation is -2.

then we use the point slope formula to find the equation of the line that passes through (1,5).

y-5=-2(x-1)
y-5=-2x+2
y=-2x+7

hope this helps!
have a nice day :)

Evaluate and solve for the variable

7=5b

Answers

B would equal 1 and 2/5

Help
Djdjdjjdjdjdjdjdjdjdjdjdjdj

Answers

Answer:

B. Corresponding

Step-by-step explanation:

The angles are across from each other so they are corresponding angles.

Answer:

It's C. Vertical angle! Please mark me brainliest!!

Step-by-step explanation:

It's not B because look at this pic.

It's C. look at this pic.

20 if u get it right

Answers

Step-by-step explanation:

hey there....I only knew the last question

find the value of x 2x = 98² - 2²​

Answers

Answer:

x = 4800

Step-by-step explanation:

2x = 98^2 - 2^2

2x = 9604 - 4

2x = 9600

x  = 4800

Answer:

x = 4800

Step-by-step explanation:

98^2=9604

2x=9604-2^2

2^2=4

2x=9604-4

2x=9600

2x/2 = 9600/2

x = 4800

Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years

Answers

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

I need help quick please

Answers

Answer:

C.

Step-by-step explanation:

32+8=40

8(4+1)

4+1=5

8*5=40

hope this helps :3

if it did pls mark brainliest

Help me plz. I’ll give good points.

Answers

Answer:

A is the answer because the -T is right at 0

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

Please help me with this question ASP

Answers

Answer:

5/6 pounds

Step-by-step explanation:

2 1/2=5/2. 1/3 of 5/2=1/3•5/2. 1/3•5/2=5/6.

Answer:

5/3

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex]  5/2 = 15/615/6 × 1/3 = 15/1815/18 = 5/615/6 - 5/6 = 10/610/6 = 5/3

I hope this helps!

Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi

Answers

Answer:

P(x=4) = 0.4

Step-by-step explanation:

The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.

f(x)= 1/ b-a          a≤ x≤ b

Here a = 0 and b= 10  but we want to know the probability of wait time between 4 minutes and 10 minutes

P (X=x) = (x-a) 1/(b-a)

P(x=4) = (4-0) 1/ 10-0

          = 4/10= 0.4

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

Do me this options same value of 65% of 20

Answers

Answer:

65% of 20 is 13

Step-by-step explanation:

Multiply 0.65 by 20

(0.65 is the same as 65%)

13

HELP PLEASEEEEEEEEEEEEEEE ITS A GRADE

Answers

Answer:

1. b

2. d

3. a

4. A

Step-by-step explanation:

Answer: ITs A

Step-by-step explanation:

Because they are all real numbers and the other options are incorrect

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

To learn more on Types of Expenses click:

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A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?

Answers

Answer:

3 teaspoons

Step-by-step explanation:

Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.

2 + 2 + 2 = 6

We would need an additional teaspoon of salt for each of the sets of two.

F = xi+yj+2zk and σ is the portion of the cone z=x2+y2−−−−−−√ between the planes z=4 and z=5 oriented with normal vectors pointing upwards. Find the flux of the flow field F across σ

Answers

there is no question for me to answer
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