1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
3 years ago
8

A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 30

% 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? %
Mathematics
1 answer:
Damm [24]3 years ago
4 0
So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:

(Final)(.30) + (other grades)(.70) = course grade

The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,

(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.

For the last part, we use the same equation, just filling in different parts.

(Final)(.30) + (other grades)(.70) = course grade

This time, we don’t know the grade for the final, but we know the course grade.

(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.
You might be interested in
Which equation demonstrates the distributive property?
yulyashka [42]

Answer:

the answer is D.

Step-by-step explanation:

distribute property requires you to multiply the number outside the parenthesis in everything in the parenthesis. hope this helps.

8 0
3 years ago
Read 2 more answers
A student makes and sells designer T-shirts to earn extra cash. The material needed to make each T-shirt costs $4.25. Currently,
natita [175]

Step-by-step explanation:

Let x be the number of designer T shirts.

To break even,

Total Cost = Total Sales

Fixed Cost + Variable Cost = Total Sales

given the promotional advertising is classified under fixed cost,

500 + 4.25x = 15x  \\ 15x = 500 + 4.25x \\ 15x - 4.25x = 500 \\ 10.75x = 500 \\ x = 500 \div 10.75 \\  = 46.5 \\  = 47 \: (round \: off \: to \: nearest \: whole \: number)

5 0
2 years ago
Joanna split 3 pitchers of water equally among her 8 plants. What fraction of a pitcher did each plant get?
MariettaO [177]
The answer is 3/8 of a pitcher

5 0
3 years ago
In order to ensure efficient usage of a server, it is necessary to estimate the mean number
juin [17]

Answer:

a. [36.19;39.21]

b. Reject the null hypothesis. The population mean of users that are connected at the same time is greater than 35.

Step-by-step explanation:

Hello!

Your study variable is,

X: "number of users of one server at a time"

The objective is to estimate the mean, for this, a sample of n=100 times was taken and the standard deviation S= 9.2 and the sample mean is X[bar]= 37.7 were calculated.

You need to study the population mean, for this you need your variable to have at least normal distribution. Since you don't have information about its distribution, but the sample is big enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean X[bar] to normal:

X[bar]≈N(μ;σ²/n)

a. With this approximation, you can construct the 90% Confidence Interval using the approximate Z

[X[bar] ± Z_{1-\alpha /2} * S/√n]

Z_{1-\alpha /2} = Z_{0.95} = 1.64

[37.7± 1.64* 9.2/√100]

[36.19;39.21]

b. You need to test if the population mean is greater than 35 with a level of significance of 1%.

The hypothesis is:

H₀: μ ≤ 35

H₁: μ > 35

α: 0.01

This is a one-tailed test so you have only one critical level (right tail):

Z_{1\alpha } = Z_{0.99} = 2.33

This means that if the value of the calculated statistic is equal or greater than 2.33 you will reject the null Hypothesis.

If the value is less than 2.33 you will support the null hypothesis.

The statistic is:

Z=<u> X[bar] - μ </u>= <u> 37.7 - 35 </u> = 2.93

       S/√n           9.2/10

The value 2.93 > 2.33, so you reject the null hypothesis. This means that the population mean of users that are connected at the same time is greater than 35.

<u><em>Note: </em></u><em>To make the decision using the interval calculated on a), the hypothesis should have been two-tailed and the confidence and significance levels complementary.</em>

I hope it helps!

7 0
3 years ago
Ben has $100 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will i
Bad White [126]

Answer: I believe its 104.55

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What does the line 5x+2y=8 look like?
    14·1 answer
  • Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.
    15·2 answers
  • let f(x)=2/5x^2 -2. the function g(x) is a vertical stretch of f(x) by a factor of 2 what is the equation of g(x)?
    6·1 answer
  • Can someone please figure out the first one, I already got the second one. I need help with the first one.
    14·2 answers
  • This is urgent, please answer!
    6·1 answer
  • 32,000 is equivalent to how many hundreds
    8·2 answers
  • 240 miles on 12 gallons of gas, Find how many gallons the van needs to travel 500 miles!
    12·2 answers
  • Write the expression a 15 as a product of two exponents with the same base, one of
    9·1 answer
  • Help this may be the last time
    11·1 answer
  • Rate of change for coordinates (8,-2) (0,4) (-4,7)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!