Answers
The highest point was 100 points
Explanation:Note that:
The given scores of the students are 60, 65, 70, 75, 80, 85, 90, 95, 100
The highest value out of all the given values above is 100.
Therefore, the highest score was 100 points
Related Questions
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
Answers
( or 12.5 buckets)
Step by step
We know the bath holds 100 quarts
We know 100 quarts is equal to 25 gallons
( 4qts to 1 gallon)
If Abby is using a 2 gallon bucket, divide 25 gallons by 2
25/2 = 12 1/2 buckets to fill the bath
Solve the equation for exact solutions. 6 cos^(-1) x = pi
I got √3/2
Answers
The exact solutions for the equation cos⁻¹x = π will be x=√3/2.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation to be solved,
cos⁻¹x = π
\(6\arccos \left(x\right)=\pi \quad :\quad x=\frac{\sqrt{3}}{2}\)
Divide by 6 on both the side,
\(\frac{6\arccos \left(x\right)}{6}=\frac{\pi }{6}\)\(\frac{6\arccos \left(x\right)}{6}=\frac{\pi }{6}\)
Simplify,
\(\arccos \left(x\right)=\frac{\pi }{6}\)
From the trigonometric inverse principle,
\(x=\frac{\sqrt{3}}{2}\)
Thus, the exact solution for the equation cos⁻¹x = π will be x=√3/2.
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A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.
Answers
Answer:
25%
Step-by-step explanation:
to find the original cost of a single shirt:
4000 / 500 = $8
how much did they markup:
10 - 8 = 2
percent markup:
2/8 = 0.25 x 100 = 25%
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answers
Answer:
4*9
Step-by-step explanation:
It's obvious.
If 5 candy bars cost $6, how much will 8 candy bars cost?
(SHOW THE WORK)
Answers
Answer:
48$ Hope this helps! (●'◡'●)
Step-by-step explanation:
Simplify the problem . I need exact answer including radical .
Answers
We have the expression:
\(\sqrt[]{25}+\sqrt[]{6}-\sqrt[]{48x^2}\)We know that √(25) = 5, and that using radical properties:
\(\sqrt[]{48x^2}=\sqrt[]{48}\cdot\sqrt[]{x^2}=4\sqrt[]{3}x\)Using these results, we have:
\(\sqrt[]{25}+\sqrt[]{6}-\sqrt[]{48x^2}=5+\sqrt[]{6}-4\sqrt[]{3}x\)PLEASE HELP ME WITH AN EXPLANATION
Answers
Answer:
Step-by-step explanation: View this in 3 dimensions, top, front, and right. Adding these 2d surface areas and multiplying by 2 will give the surface area of the entire figure. From the top, there are 6 squares, each square has 5in side length so the area of the total is 5^2 x 6 = 150. From the right, there are 3 squares for 5^2 x 3 = 75. From the front are 4 squares, so 5^2 x 4 =100. 2(100+150+75)= 650in
SECONDARY MATH III // MODULE 5
MODELING WITH GEOMETRY - 5.5
Answers
Answer:
Its Spring break pls relax
Step-by-step explanation:
Solve A=2lw+2lh+2hw for h.
Answers
Answer:
Look Below
Step-by-step explanation:
can some one help me with geometric sequence?
Answers
Answer:
See below
Step-by-step explanation:
We have the series
\($\sum _{ n=0 }^{ \infty }{ 3(0.8)^n}$\)
(a) To show that the sum of first \(n\) terms is \(S_n= 15(1-0.8^n)\)
Consider that the this sum is given as
\(S_n = 3\dfrac { 1-{ r }^n}{ 1-r }\)
In this case, the ratio is 0.8, thus, \(r=0.8\)
\(S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 }\)
\(3\dfrac { 1-{ 0.8 }^{ n } }{ 1-0.8 } = 15(1-0.8^n) \iff 3(1-{ 0.8 }^{ n }) = 15(1-0.8^n)( 1-0.8) \iff 3 = 15(1-0.8) \iff 3 = 15-12 = 3\)
Therefore,
\(S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 } = 15(1-0.8^n)\)
\(\dfrac{S_6}{S_4} = \dfrac{15(1-0.8^6)}{15(1-0.8^4)} = \dfrac{(1-0.8^6)}{(1-0.8^4)} = \dfrac{0.737856}{0.5904} = \dfrac{737856}{5904} = \dfrac{144\cdot 5124}{144\cdot 41} = \boxed{\dfrac{5124}{41} }\)
(b) Calculate the smallest integer value of \(n\) such that \(S_{40} -S_n < \dfrac{1}{2}\)
Once \(S_{40} \approx 15 \text{ and } S_n>14.5, \text{ thus } S_{40} \approx S_n, \text{ but } n \text{ is considerably smaller than 40}\)
I am considering \(S_{40}=15\), so
\(15-15(1-0.8^n) < \dfrac{1}{2} \implies 0.8^n < 0.03 \implies n> 15.71\)
\(\text{Once } n\in\mathbb{Z}, \text{ then } n=16\)
Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!
Answers
Answer:
24 total arrangements,
Step-by-step explanation:
thats all i know for this question, the rest are lost within my brain... somewhere
Which expression is equivalent to 8x3 − 64 when factored completely?
a
(2x − 4)(4x2 + 8x + 16)
b
(2x − 4)(4x2 − 8x + 16)
c
(2x + 4)(4x2 + 8x + 16)
d
(2x + 4)(4x2 + 8x − 16)
Answers
Answer:
A (2x − 4)(4x2 + 8x + 16)
Step-by-step explanation:
A
(2x − 4)(4x2 + 8x + 16) =
8x3 + 16x2 + 32x - 16x2 - 32x - 64 =
8x3 - 64
B
(2x − 4)(4x2 − 8x + 16)
8x3 - 16x2 + 32x - 16x2 + 32x - 64
8x3 - 32x2 - 64
c
(2x + 4)(4x2 + 8x + 16)
8x3 + 16x2 + 32x + 16x2 + 32x + 64
8x3 + 32x2 + 64x + 64
D
(2x + 4)(4x2 + 8x − 16)
8x3 + 16x2 - 32x + 16x2 + 32x - 64
8x3 + 32x - 64
Which function has a greater maximum?
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A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
Answers
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Write a number with 2 decimal places, that is bigger than 4 and 1/5 but smaller than 4.25?
Answers
Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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For a population with a mean of u = 40 and a standarddeviation of o = 8, find the z-score corresponding toeach of the following samples.a. X = 34 for a sample of n = 1 scoreb. x = 34 for a sample of n = 4 scoresc. x = 34 for a sample of n = 16 scores
Answers
Solution:
Given the mean and standard deviation;
\(\mu=40,\sigma=8\)The z-score formula is;
\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)(a)
\(\begin{gathered} x=34,n=1 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{1}}} \\ \\ z=-0.75 \end{gathered}\)(b)
\(\begin{gathered} x=34,n=4 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{4}}} \\ \\ z=-1.5 \end{gathered}\)(c)
\(\begin{gathered} x=34,n=16 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{16}}} \\ \\ z=-3 \end{gathered}\)How many tens and how many hundreds is 21,000
Answers
Answer:
tens = 2,100 and hundreads = 210
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on bottom
Answers
Answer:
9 and 3
Step-by-step explanation:
if we multiply 9 and 3 we get 27
also when we add 9+3= 12
Magan owns a small business selling bagels. He knows that in the last week 39
customers paid cash, 9 customers used a debit card, and 59 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card as a fraction in simplest form.
Answers
Using it's concept, it is found that there is a \(p = \frac{9}{107}\) probability that the next customer will pay with a debit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there were 39 + 9 + 59 = 107 purchases, of which 9 were paid with debid cards, hence:
\(p = \frac{9}{107}\)
There is a \(p = \frac{9}{107}\) probability that the next customer will pay with a debit card.
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Answer: 9/107
Step-by-step explanation:
what is 10% of 35
explain how u know
Answers
Answer: 3.5
Step-by-step explanation:
Since 10% x 10 = 100%
So we have to do 35 ÷ 10
35 ÷ 10 = 3.5
In conclusion, 10% of 35 = 3.5
Hope this helps!
A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $128,000.00 for 25 years at a 5.3% annual interest rate, with interest compounded monthly, and will make monthly payments of $770.82. (Round all answers to 2 decimal places.)
Create an amortization table to answer the following:
a) What is the unpaid balance after 9 months? $
b) Over the 9 months in part (a), how much total interest did she pay?
Answers
Answer:
(a) After 9 months, the unpaid balance is $125,874.09.
(b) Over the 9 months, she paid a total of $4,918.56 in interest.
To create the amortization table, we can use the formula for calculating the monthly payment of a loan:
P = (r * A) / (1 - (1 + r)^(-n))
where:
P = monthly payment
r = monthly interest rate
A = loan amount
n = total number of payments
In this case, we have:
A = $128,000.00
n = 25 years * 12 months/year = 300 months
r = 5.3% / 12 = 0.00441666667
Using the formula, we can calculate the monthly payment:
P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))
P = $770.82
Now, we can create the amortization table:
you could at least answer the question not say why should anyone care about a school bus
Answers
Answer:
Step-by-step explanation:
I think anyone needs to care about the school bus, it's just a bus, and maybe the people inside are like you, so relax, keep calm on a school bus
If you receive a paycheck for 13,454 in the month of June and spend 18,750 in outgoing bills, which integer represents how much you still owe for bills
Answers
Step-by-step explanation:
13,454
- 18,750
----------------
- 5,296
you still owe 5,296.
Ruby's family has completed 70% of a trip. They have traveled 35 miles. How far is the total trip?
Answers
Answer:
Step-by-step explanation:
70% of x = 35
0.70x = 35
x = 35/0.70 = 50 miles
Evaluate the function rule below when x= -2
F(x)=3x+2
Answers
Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years
Answers
Answer:
you will get back 167$
Step-by-step explanation:
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
Answers
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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Which equation is equivalent to the given equation ?
Answers
The equivalent equation of x² - 6x = 8 is (x - 3)² = 17 .
How to find equivalent expression?Two expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.
Therefore, let's find the equation equivalent to the equation as follows:
x² - 6x = 8
Therefore, let's try the options:
(x - 3)² = 17
(x - 3)(x - 3) = 17
x² - 3x - 3x + 9 = 17
Therefore,
x² - 6x + 9 = 17
subtract 9 from both sides of the equation
x² - 6x + 9 = 17
x² - 6x + 9 - 9 = 17 - 9
x² - 6x = 8
Therefore, (x - 3)² = 17 is the equivalent expression.
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Sum of the Interior angles of a 32-gon
Answers
Answer: 5,400 degrees
Step-by-step explanation:
Answer:
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Internal angle (degrees): 168.75°
Dual polygon: Self
Symmetry group: Dihedral (D32), order 2×32
Step-by-step explanation:
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