A friend has a 79%
average before the final exam for a course. That score includes everything but
the final, which counts for 25% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.

A Friend Has A 79%average Before The Final Exam For A Course. That Score Includes Everything Butthe Final,

Answers

Answer 1

Answer:

best course grade: 84.25%least final grade: 63%

Step-by-step explanation:

You have a course average of 79% that is 75% of your grade, and you want to know ...

the least final score for a course average of 75%the best possible course average.

Weighted average

The course average is computed as the weighed average of the course grade so far and the final grade. The weighs are 75% and 25%, respectively. In formula form, the relation between the final grade (f) and the course average (c) is ...

  0.75(79) + 0.25f = c

Solving for f, we have ...

  f = 4(c -59.25) = 4c -237

a) Best course grade

Assuming the best final grade is 100, the best course grade is ...

  c = 0.25(100) +59.25 = 25 +59.25 = 84.25

The best course grade is 84.25%.

b) Least final grade

For a course grade of 75%, the least final grade necessary is ...

  f = 4(75) -237 = 300 -237 = 63

The minimum score on the final for a 75% for the course is 63%.

__

Additional comment

Here we have percentages with two different bases. The course grade percentages have a base of the greatest possible number of credits. The weight percentages have a base of the whole course grade. Working with percentages of percentages can be confusing if the base of the percentage is not clear.

We often find it easier to deal with grades expressed as a number 0 to 100, rather than as a percentage. That is what we have done here (except in the final answers). The final answer expresses the course grade as a percentage so as to be consistent with the problem statement.


Related Questions

Ms. Thomas buys a new computer for $659. She plans to pay it off in 8 monthly payments. If she pays the same amount each month, which is the best estimate of her monthly payments?

Answers

Answer:

$82.38

Step-by-step explanation:

What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!

A digital clock shows hours and minutes. How many times between one minute after midnight and one minute before midnight does the clock show the same when it is read forwards or backwards (for example : 15:51)​

Answers

Answer:

60 seconds make 1 minute,60 minute make 1 hours.

is {(3,-2), (4,-2), (5,-2), (6,-2) a function

Answers

Answer:

yes

Step-by-step explanation:

This function is y=-2 which is a line that doesn't overlap.

Answer: Yes

Step-by-step explanation:

When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.

For example:

{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.

Another example:

{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value

Hope this helps!

If an input of -9 is put into each of the machines below, what is each output?
b. Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
Function A
Function B

Answers

If an input of -9 is given to machine having Function A, then output will be 84 and if it is given to machine having Function B, then the output will be 3i-2.

The machine having Function A is given by y = x² + 3 and the machine having Function B is given by y = (√x) - 2.

Here, input will be the value of x and output will be the value of y as x id the independent variable and y is the dependent variable. If we put x = -9 in both the machines, then;

The output by machine A will be given by

y = (-9)² + 3

y = 81 + 3

=> y = 84

The output by machine B will be given by

y = (√-9) - 2

y = 3(√-1) - 2

=> y = 3i - 2.

Now, if Eric wants to get an output zero, he can get it by using machine B as Function A has square and addition both so any negative number will also give a positive result and the result will never be zero. But in Function B the result zero can be obtained by giving the input as 4 that is x = 4. The output will be given by:

y = (√4) - 2

y = 2 - 2

=>y = 0.

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The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS

Answers

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

Classify √3

√3 means the nonnegative square root of 3

Answers

√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

We are given a number √ 3.

We need to classify the number.

First we can see that, this is the non negative square root of the number 3.

That is when we multiply √ 3 two times, we get the number 3.

Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.

That is it will be a real irrational number.

Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

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HELP ASAP ILL GIVE BRAINLIST

Answers

The first question is to identify a pair of similar triangles. The answer for that would be GCB and BEP. they are not the same size but they do both identify as triangles so that is correct. The next question is explain how you know the triangles in part A are similar. Because they have the same points and when they are reflected they stay the same. Last question is find the distances fromB to E and from P to E. That’s simple. 250 feet and 225 feet. Hope this helps!

Conjecture: Any negative number cubed is what?

Answers

Answer:

Also a negative number

Step-by-step explanation:

negative times negative is equal to positive, positive times negative is equal to negative

First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.

What is complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.

If x is a real number,

-x is a negative real number,

(-x)³=-(x³)

e.g.(-3)³=-(3³)= -27

(-½)³=-(½)³= -(1/8)

The cube of a negative number can be calculated in the same way as you calculate for the positive number.

First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.

Learn more about complex number

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Which of the following accurately shows the range of the function defined below? [3, infinity), [2,infinity), [3,6], (-infinity, infinity)

Answers

2,infinity

Hope this helps

Answer:[2,♾)

Step-by-step explanation:

Which of the following is an existential quantifier?

A)few
B)none
C)every
D)all

Answers

Answer:

A

Step-by-step explanation:

A is probably the best one!

I would say A! Hope this helps

Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

Answers

Answer:

[tex]\theta = 108.29[/tex]

Step-by-step explanation:

Given

[tex]u = <2,6>[/tex]

[tex]v = <4,-7>[/tex]

Required:

Calculate the angle between u and v

The angle [tex]\theta[/tex] is calculated as thus:

[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex]

For a vector

[tex]A = <a,b>[/tex]

[tex]A = a * b[/tex]

[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex] becomes

[tex]cos\theta = \frac{<2,6>.<4,-7>}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{2*6+4*-7}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{12-28}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]

For a vector

[tex]A = <a,b>[/tex]

[tex]|A| = \sqrt{a^2 + b^2}[/tex]

So;

[tex]|u| = \sqrt{2^2 + 6^2}[/tex]

[tex]|u| = \sqrt{4 + 36}[/tex]

[tex]|u| = \sqrt{40}[/tex]

[tex]|v| = \sqrt{4^2+(-7)^2}[/tex]

[tex]|v| = \sqrt{16+49}[/tex]

[tex]|v| = \sqrt{65}[/tex]

So:

[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{2600}}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{100*26}}[/tex]

[tex]cos\theta = \frac{-16}{10\sqrt{26}}[/tex]

[tex]cos\theta = \frac{-8}{5\sqrt{26}}[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})[/tex]

[tex]\theta = cos^{-1}(\frac{-8}{5 * 5.0990})[/tex]

[tex]\theta = cos^{-1}(\frac{-8}{25.495})[/tex]

[tex]\theta = cos^{-1}(-0.31378701706)[/tex]

[tex]\theta = 108.288386087[/tex]

[tex]\theta = 108.29[/tex] (approximated)

HELPPP ASAP!!!!!!! PLZZZ​

Answers

Answer:

8/12

Step-by-step explanation:

Which of the
following equations can be used with x + y = 60 to solve for x and y

Answers

Answer:

What are "the following equations" supposed to be?

Step-by-step explanation:

:)

F(x)=(x-2)(x-6) Find the x-intercepts

Answers

The x intercepts would be (-2, 0) and (6,0)

please help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

57

Step-by-step explanation:

A submarine is traveling at a constant speed below sea level . The equation y = -50x-75 can be used to represent this situation where y is the location of the submarine below sea level in feet and x is the number if hours the submarine has been traveling . Which states best describes the location of the submarine given this equation

Answers

Answer:

From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D

Step-by-step explanation:

Used an Calculator  

I hope this helps

Answer:

D

Step-by-step explanation:

the reason why it's D, is because i did the test bro and it had a green check which means it's right.

your welcome.

One week a student exercised 3 hours at school and another 2/3 of an hour at home. If 1/6 of the student’s total exercise came from soccer, how much time did the student spend playing soccer that week?

Answers

Answer:

36m 40s

Step-by-step explanation:

To find out how much time was spent on playing soccer, we need to find out the total number of hours spent on exercising.

Total amount of time for exercise = 3h + [tex]\frac{2}{3}[/tex]h

                                                        = [tex]\frac{11}{3}[/tex]h

Total amount of time for soccer = [tex]\frac{1}{6}[/tex] × [tex]\frac{11}{3}[/tex]h

                                                     = [tex]\frac{11}{18}[/tex]h

                                                     = 36m 40s

Sean tried to drink a slushy as fast as he could. He drank 5 milliliters of slushy each second and finished all
the slushy after 50 seconds.
Graph the relationship between the amount of slushy left in the cup (in milliters) and time (in seconds).

Answers

Answer:

graph like this:

Step-by-step explanation:

First, in 5 seconds, we know that he drinks 25 mL of slushy. We know this because 1 second is 5 mL, so 5 seconds is 25 mL. So, your graph should be going from the 5 second to 25 mL mark, then the 10 second and 50 mL mark, then the 15 mL and 75 mL mark, and so on.

2. (08.03) A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam? (2 points) 80% 12% 30% 48%

Answers

Only 80% students passed the second exam and also passed the first exam .

Conditional probability is used to find the probability of an event A given that event B has already occurred.

It is denoted by P(A/B)=P(A∩B)/P(B)  .

In the given question

Let A be the event for students passed in first exam.

Let B be the event for students passed in second exam.

Given

Only 48% passed in both the exam that means

P(A∩B)=48%=0.48   ...(i)

and

60% students passed the second exam , that is

P(B)=60%=0.60       ...(ii)

To find the probability of students passed in second exam given that they passed in first exam , conditional probability is used that is P(A/B), denoted by

P(A/B)=P(A∩B)/P(B)

Substituting the values from equation (i) and (ii) we get

P(A/B) = 0.48/0.60

=48/60

Converting 48/60 to percent

=48/60*100

=80%

Therefore , Only 80% students passed the second exam and also passed the first exam , the correct option is 80%.

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Which of the following situations can be represented by the expression 7 + 12x ? Select two that apply.

Answers

Answer:

theres no situations or answers.

Step-by-step explanation:

A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?

Answers

Answer: 9 and 21

Step-by-step explanation:

board=30m

divide by 2 pieces

one piece, we call it a

b, the other piece is b= 2a+3

a+b=30

a+2a+3=30

3a=30-3

3a=27

a=9

b=21

the answer is : 9 and 21


PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT

Answers

Answer:

BC = [tex] 1.8 [/tex]

Step-by-step explanation:

∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC

Thus, let's find the value of x.

[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]

Collect like terms

[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]

[tex] \frac{7x}{4} - 3x = -2 [/tex]

[tex] \frac{7x - 12x}{4} = -2 [/tex]

[tex] \frac{-5x}{4} = -2 [/tex]

Multiply both sides by 4

[tex] \frac{-5x}{4}*4 = -2*4 [/tex]

[tex] -5x = -8 [/tex]

Divide both sides by -5

[tex] x = \frac{8}{5} [/tex]

AB = BC = AC

Therefore,

BC = [tex] \frac{7}{4}x - 1 [/tex]

Plug in the value of x

BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]

BC = [tex] \frac{56}{20} - 1 [/tex]

BC = [tex] 2.8 - 1 [/tex]

BC = [tex] 1.8 [/tex]

the length of a rectangle is 8 centimeters. what is the width?​

Answers

Answer:

This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *

Answers

Answer:

Y=300

X= 4

M= 49x9=4

3x4=3

Step-by-step explanation:

Help please I’ll give brainliest!

Answers

I’m sure the answer is C
The answer is .C) Hope it helps.

there is a graph with 36 possible outcomes. What is the probability of rolling a sum of 10 when rolling 2 number cubes.
A. 1/12
B. 1/9
C. 1/3
D. 5/12

Answers

Answer: A

Step-by-step explanation:

Answer:

A. 1/12

Step-by-step explanation:

Please help me out I’m lost

Answers

Given:

The function is

[tex]f(x)=2x^4-4x^3+20x-100[/tex]

To find:

The remainder if f(x) is divided by (x+11).

Solution:

According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).

On comparing (x+11) and (x-c), we get c=-11.

Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).

Putting x=-11 in the given function.

[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]

[tex]f(-11)=29282+5324-220-100[/tex]

[tex]f(-11)=34606-320[/tex]

[tex]f(-11)=34286[/tex]

Therefore, the remainder is 34286 when f(x) is divided by (x+11).

1/2x + 4=9
What does x equal?

Answers

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

Answer:

1/2x+4=9 is x=1/10

Step-by-step explanation:

theres no explanation

Matt invested $300 into an account that had an annual interest
rate of 3.8% compounded monthly for 5 years. Chris invested
$350 into an account that had an annual interest rate of 3.5%
compounded continuously for 5 years. Determine which models
could be used to determine how much money would be in each
account after 5 years.

Answers

The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

Matt put $300 into a five-year account with a 3.8% annual interest rate compounded on a monthly basis. Then the amount after 5 years will be

[tex]\rm A = 300\left (1 + \dfrac{0.038}{12} \right ) ^{12 \times 5}[/tex]

Simplify the equation, then we have

A = 300 x 1.2089

A = $362.66

Chris put $350 into a savings account with a 5-year compounded yearly return rate of 3.5 percent.

A = 350 (1 + 0.035)⁵

Simplify the equation, then we have

A = 350 x 1.1877

A = $415.69

The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.

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What is
22x22x22x22x22x22 as a power?

Answers

Answer:

22^6

Step-by-step explanation:

Answer:22^6

Step-by-step explanation:

because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth

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