The mean score for all 23 students is 77.17.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
The first step is to determine the total scores of the 22 students.
Total scores = mean score x number of students
22 x 76.5 = 1683
The second step is to add the score of the student that took the exam late tot he total scores.
New total score = 1683 + 92 = 1775
The third step is to determine the new mean score.
new mean score = new total score / total number of students
1775 / 23 = 77.17
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If two corresponding angles in a triangle are congruent, the triangles are congruent.
True
False
Answer:
False
Step-by-step explanation:
All angles and all sides have to be congruent.
I hope this helps!!
Find the average rate of change of the function from x=1 to x=2.
f(x)=−10/x^2
Enter the exact answer.
Average rate of change =
Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?
The minimum score Jenny need on that exam to have an overall mean of 80 is 98.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, after three exams, Jenny has a mean score of 74.
Let the minimum score of the one exam remaining be x
Now, (3×74+x)/4 =80
⇒ 222+x=320
⇒ x=320-222
⇒ x=98
Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.
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What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
Hey thank you for helping me
Answer:
0
Step-by-step explanation:
anything that is divided by 0 makes 0
have a good day!
Answer:
D Undefinited
Step-by-step explanation:
(-6 * 3)/0=
-18 * 0 =
-0
the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf
no link no bot right please
Answer:
2143.57 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57
Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $
Answer:
la théorie des plaques est
The total present value will be $693.75
The total present value will be $668.23
What is Future Value?Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).
First, i= 4/100 = 0.04
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.04) + 250/ (1 + 0.04)² + 250/ (1 + 0.04)³
= 250/ 1.04 + 250/ 1.04² + 250/ 1.04³
= 240. 38 + 231.13 + 222.24
= $693.75
So, The total present value will be $693.75
Second, i= 6/100 = 0.06
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.06) + 250/ (1 + 0.06)² + 250/ (1 + 0.06)³
= 250/ 1.06 + 250/ 1.06² + 250/ 1.06³
= 235. 84 + 222.49 + 209.90
= $668.23
So, The total present value will be $668.23
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y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.
Answer:
See belowStep-by-step explanation:
1. Graph each inequality2. Take the intersection of shaded regions as solutionAttached each inequality separately and the solution showing the intersection below.
y > -1/3x + 2
Find the x - and y - intercepts, connect them with dotted line, shade the area above the linex < 4
Draw a dotted line x = 4, shade the area to the left of the lineJerry left a $5.55 tip on a meal that cost $37. What percent of the meal's cost was the tip? What was the total cost of the meal including the tip?
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answer:
True
Step-by-step explanation:
For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.
The _______ of an observation is determined by how far the values of the independent variables are from their means.
Answer:
The leverage of an observation is determined by how far the values of the independent variables are from their means.
Cost in dollars Books Delivered $27.25 4 $39.25 6 $75.25 12 $93.25 15 Mr. Peterson's Book Store delivers to customers after they have purchased. The costs are shown above in the table a. What is the cost per book? b. What is the delivery fee? Solve each proportion
Helpppp pleaseeeee
Answer:
a) cost per book: $6
b) delivery fee: $3.25
Step-by-step explanation:
a)If we assume the cost per book and the delivery fee are constant, then we can find the cost of 2 books by subtracting the cost for 4 books from the cost for 6 books
cost per book = (cost for 6 books - cost for 4 books)/(6 -4)
= ($39.25 -27.25)/2 = $12/2 = $6 . . . . . cost per book
__
b)The delivery charge will be the difference between the delivered cost and the cost of the books. For 4 books, that is ...
delivery charge = $27.25 -4(6.00) = $3.25
_____
Additional comment
The relationship between delivered cost and number of books is not proportional. There are no proportions to solve in this problem.
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
Compare:
5/14 11/18
.
>
<
=
Answer:
<
Step-by-step explanation:
hope this helps <33
How many tens equal 6 thousands
A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.
Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
Thanks ☺️
Hope it helps you.
The circumference of a circle is 240 meters. What is the approximate
radius of the circle? (Use 3.14 for 7)
A) 9 meters
B) 38 meters
C) 76 meters
D) 153 meters
4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
Help pleaseeeeeeee asapplpl
Answer:
the graph is incorrect first u correct this
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
What integer that best describes the statement "the stock rose 8 points"?
A.-8
B.15
C.-15
D.+8
Answer:
D.+8
Step-by-step explanation:
"The stock rose 8 points."
The word rose indicates that the number will be positive.
Hope this helps :)
Answer:
D
Step-by-step explanation:
hope it helps
Adam And Eve had 32 apple in 8 barrels how many would they have in all?
Answer:
Adam and Eve will have 4 apples in each barrel
Step-by-step explanation:
32/8
= 4
Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!
The following relation is a variation. Which description best represents the relation?
Answer:
x and y are directly related because y = -3x
Step-by-step explanation:
Please help!
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
Answer:
it would be c because its moved 2x up
Step-by-step explanation:
10 times 10 times 100 divded by 1 times that again 10000
Answer:
100,000,000
Step-by-step explanation:
During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
[tex]E(X) = np[/tex]
In this problem:
Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].Then:
[tex]E(X) = np = 2(0.535) = 1.07[/tex]
A similar problem is given at https://brainly.com/question/24261244
What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank
Answer:
B. Credit that is automatically renewed as debts are paid
Hope this helps :)