Answer:
At least 80% of the exam scores are smaller in value than 82
Step-by-step explanation:
Eliminate 2 & 4 because the percentage in the question does not match the same numbers.
Eliminate 1 because the 80th percentile is in other words you have greater numbers than 80% of people.
27 is 30% of what number?
A 8585
B 9292
C 1212
D 90
Answer:
27 is 30% of what number?
D. 90
Step-by-step explanation:
You're welcome.
A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 centimeters and the lengths of the prisms vary. It costs $0. 04 per square centimeter to fabricate the prisms and the factory owner has set a limit of $11 per prism. What is the maximum length of each prism?
The maximum surface area for a prism is.
So, the maximum length for a prism is cm
The maximum length of each prism is equal to 7.99 centimeter.
Maximum surface area = 275 square centimeter (cm²).
Given, Light fixtures of regular hexagonal prism .
Determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:
Maximum surface area (quantity) = Cost/unit price
Maximum surface area (quantity) = $11/$0.04
Maximum surface area (quantity) = 275 square centimeter (cm²).
Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:
\(A = 6al + 3\sqrt{3} a^2\)
Where:
A represents the surface area of a regular hexagonal prism.
a represents the edge length (apothem) of a regular hexagonal prism.
l represents the length of a regular hexagonal prism.
Substituting the given parameters into the formula, we have;
\(275 = 6 \times 4l + (3\sqrt{3} \times 4^2)\)
\(275 = 24l + 48\sqrt{3} \\24l = 275 - 48\sqrt{3}\\ 24l = 191.8616\\l = 191.8616/24\)
Length, l = 7.99 centimeter.
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I NEED HELP ASAP PLEASE! ILL MARK BRAINLIEST
Answer:
4.3
Step-by-step explanation:
final velocity(v)= 26 m/s
time(t)= 6s
now,
Avg accleration = v/t
=26/6
=4.3
Can someone help me with this please it’s due today and I need to show work on how to do it-
Answer:
16
Step-by-step explanation:
\(\frac{x^{2} }{y^{-1} }\)
\(\frac{(-2)^{2} }{4^{-1} }\) To make the exponent positive in the denominator, you put it in the numerator.
\((-2)^{2}\)· \(4^{1}\)
4 ·4 = 16
plot the normal probability plot and the residual plot vs x. what do you infer from them? harrisburg
To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.
WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.
Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.
A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.
Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.
Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.
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4. If triangle ABC has the following measurements, find the measure of side c:
a = 5
B = 7
C = 42 degrees
9514 1404 393
Answer:
c ≈ 4.69
Step-by-step explanation:
The Law of Cosines is used for the purpose. It tells you ...
c² = a² +b² -2ab·cos(C)
c² = 5² +7² -2·5·7·cos(42°) ≈ 21.9799
c ≈ √21.9799 ≈ 4.688
The measure of side c is about 4.69 units.
Write each expression in terms of i and simplify:
√-20
Multiply:
1) √-16 * √-25 2) √-40 * √-10
I can use a calculator to get the answers but I need to how to
solve without.
The value of the given expressions √-16 * √-25 and √-40 * √-10 in terms of i are -20 and -20i√10, respectively.
What do we need ?We need to write each expression in terms of i and simplify it as given below;
1) Expression: √-16 * √-25.
The square root of -16 is √-16 = √(16) * √(-1)
= 4i
The square root of -25 is √-25 = √(25) * √(-1)
= 5i
Multiplying both gives;√-16 * √-25 = 4i *
5i= 20i²
But, i² = -1.
Therefore, 20i² = 20(-1)
= -202)
Expression: √-40 * √-10
The square root of -40 is √-40
= √(4) * √(10) * √(-1)
= 2i√10.
The square root of -10 is √-10 = √(10) * √(-1)
= √10i.
Multiplying both gives;√-40 * √-10 = 2i√10 * √10i
= 2i * 10 *
i= 20i².
But, i² = -1.
Therefore, 20i² = 20(-1)
= -20.
Hence, the value of the given expressions √-16 * √-25 and √-40 * √-10 in terms of i are -20 and -20i√10, respectively.
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(1) An architect firm uses an average of 60 boxes of copier paper a day. The fim operates 280 days a year. Storage and handling costs for the paper are $30 a year per box, and its costs approximately $60 to order and receive a shipment of paper. (a) What quantity order size would minimize the total annual inventory cost? (b) Determine the minimum total annual inventory cost. (c) The office manager is currently using an order size of 300 boxes. The partners of the firm expect the office to be managed "in a cost-efficient manner." Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes):
Part a: What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost
The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)
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The spot rate for the British pound is £.7277 = $1 and the Canadian dollar is Can$1.1815 = $1. What is the £/Can$ cross-rate?
a. £.7699/Can$
b. £.6159/Can$
c. £.5685/Can$
d. £1.6236/Can$
e. £1.7138/Can$
The correct answer is option B) £.6159/Can$, is the £/Can$ cross-rate.
The given spot rate for the British pound and the Canadian dollar is used to calculate the £/Can$ cross-rate.
The steps are outlined below:
Step 1: Find the dollar value of the pound and the dollar value of the Canadian dollar:
£.7277 = $1Can$1.1815 = $1
Step 2: Divide the dollar value of the pound by the dollar value of the Canadian dollar to obtain the £/Can$ cross-rate:
£.7277/$1 ÷ Can$1.1815/$1= £.6159/Can$
Thus, the correct answer is option B) £.6159/Can$.
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Ben and Huong have the same amount of money in their bank accounts. Ben deposits 25 dollars into his bank account. Huong withdraws 40 dollars from hers.
1. After the transaction, who has more money in their bank account?
A) Ben
B) Huong
2. Whose transaction represents a bigger change to the amount of money in their bank account?
A) Ben's Deposit
B) Huong's Withdrawal
Answer:
A) Ben B) Huong's WithdrawalStep-by-step explanation:
You want to know whether a $25 deposit or a $40 withdrawal will result in a greater amount in bank accounts starting from the same amount. You want to know which transaction is the bigger change.
1. Ending balanceA deposit will increase the amount in the account, and a withdrawal will decrease it. The account with a $25 increase will have more money than the account decreased by $40, when they start with the same amount.
Ben's account has more money, choice A.
2. ChangeThe amount the account value changed with the $25 deposit is $25. The amount the account value changed with the $40 withdrawal is $40. The withdrawal causes a larger change in the balance.
Huong's withdrawal represents a bigger change.
<95141404393>
Does the table represent a linear or nonlinear function?
Answer:
Linear
Step-by-step explanation:
Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.
The domestic violence study conducted in 1984 by Sherman and Berk had an ethical concern in that: O They financially profited from the research. O They did not adhere to special protections for vulnerable populations. O They potentially withheld a beneficial treatment. O They deceived their subjects.
In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.
The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Sarah drove 116 miles in 4 hours .If she drove at a constant rate,how far did she travel each hour?
Answer:
29 miles
Step-by-step explanation:
116 divided by 4
Answer: 29 mph
Hope this helps :)
Mr. K needed to rent a moving van; U-Haul charges $90 per hour plus a $50 truck fee. Enterprise
charges $70 per hour plus a $90 truck fee. For what number of hours of rental is the cost for the two
companies the same?
I give you all these points, just give me the correct answer
Answer:
i think the answer is -5
Step-by-step explanation:
Given f(x)= -6x+7, what are f(3) and f(-5). show your work please!!
f (3)=
f (-5)=
Answer:
f(3) = -11
f(-5) = 37
Step-by-step explanation:
f(x) = -6x + 7
We want to find f(3) and f(-5)
To do so we substitute the input with any x in the equation and evaluate.
f(3) = -6x + 7
==> substitute all x's with the input, 3
f(3) = -6(3) + 7
==> multiply -6 and 3
f(3) = -18 + 7
==> add -18 and 7
f(3) = -11
f(-5) = -6x + 7
==> substitute all x's with the input -5
f(-5) = -6(-5) + 7
==> multiply -6 and -5
f(-5) = 30 + 7
==> add 30 and 7
f(-5) = 37
What is the length of the side labelled t
Answer: t = 10m
Step-by-step explanation:
We know the lengths of the two legs, but not the length of the hypotenuse. To calculate this, we use the Pythagorean Theorem: a^2 + b^2 = c^2.
So (6)^2 + (8)^2 = (t)^2
36 + 64 = t^2
100 = t^2
sqrt (100) = sqrt (t^2)
t = 10
*sqrt = square root
find the measures of the interior angles
Answer:
B is 88 and C is 44
Step-by-step explanation:
I know I am right and I did the math
Select the correct answer.
Which equation matches the function shown in the graph?
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
How do you do thissss♀️..?
Answer:
the answer is A because you can know
Which of the following are cube numbers. select all that apply
8/9
27
30
8/27
1/27
27/64
64
1/9
Answer:
Step-by-step explanation:
8/9 8 is a cube but 9 is not. 8/9 is not a cube
27 27 = 3^3, a perfect cube
30 Not a cube
8/27 Both 8 and 27 are perfect cubes, and so 8/27 is one also.
1/27 This is equivalent to 1^3 / 3^3 and is a perfect cube.
27/64 Both 27 and 64 are perfect cubes, so 27/64 is one also
64 64 = 4^3, a perfect cube
1/9 9 is not a cube, so 1/9 is not one either.
A customer service center keeps track of the number of complaints received each day about one of their new products. The numbers of complaints received over the last 11 day period are 19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25. The median for this sample of data is: A. 20 B. 19.5 C. 16 D. 19
The median for the given sample of data is A. 20.
To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.
Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25
There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.
The 6th value in the ordered list is 19.
Therefore, the median for this sample of data is A. 20.
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Multiply: (2x + 5)(3x + 2)
Simplify and write your answer in standard form
Answer:
Hey,
\( \rm \: =6x^2+19x+10\)
Step-by-step explanation:
=(2x+5)(3x+2)
=(2x)(3x)+(2x)(2)+(5)(3x)+(5)(2)
=6x^2+4x+15x+10
=6x^2+19x+10(ANS)
Answer:
The answer is 6x^2+19x+10
Step-by-step explanation:
A fireman’s ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet from the base of the house, how long is the ladder?
In the given scenario ladder is 6.52 feet long.
Given that,
The angle between ground and ladder = 62 degree
The distance of ladder from ground and ladder = 3 feet
We have to find the length of ladder.
Since we know that,
The trigonometric ratio
cosθ = adjacent/ Hypotenuse
Here we have,
Adjacent = 3 feet
Hypotenuse = length of ladder
Thus to find the length of ladder we have to find the value of hypotenuse.
Therefore,
⇒ cos62 = 3/ Hypotenuse
⇒ 0.46 = 3/ Hypotenuse
⇒ Hypotenuse = 3/0.46
= 6.52
Thus,
length of ladder = 6.52 feet.
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The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 1300 hours and a standard deviation of 20 hours. Out of 755 freshly installed light bulbs in a new large building, how many would be expected to last than 1330 hours, to the nearest whole number?
361 light bulbs out of the 755 will last over 1330 hours
Here, we want to calculate the expected number of bulbs
The first thing we have to do here is to calculate the z-score
We have this as follows;
\(\begin{gathered} z\text{ = }\frac{x-\mu}{\frac{\sigma}{\sqrt[]{n}}} \\ x\text{ = 1330 hours} \\ \mu\text{ = 1300 hours (mean)} \\ \\ \sigma\text{ = 20 hours ( standard deviation)} \\ n\text{ = 755} \\ \\ z\text{ = }\frac{1330-1300}{\frac{20}{\sqrt[]{755}}}\text{ = 0.0546} \end{gathered}\)Now, we have to calculate the probability that is equal to this z-score
So, the probability we want to calculate is that which is greater than the calculated z-score
\(P\text{ (z > 0.0546)}\)We are going to use the standard normal distribution table here
By using the table, we have the equivalent probability as 0.47823 (about 48%)
So, out of the 755 freshly installed light bulbs, 47.823% will last more than 1330 hours
The exact number that will last will be;
\(0.47823\times755\text{ = 361}\)Is it the answer option D?
Answer:
D
Step-by-step explanation:
graph it
What is the solution to the following system of equations
4x+2y=6
X-y=3
Answer:
The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)
Step-by-step explanation:
4x + 2y = 6 ....… (1)
x − y = 3 …..... (2)
Example, for equation 2 is:
x - y = 3
x = 3 + y
Put in equation 1:
4(y + 3) + 2y = 6
4y + 12 + 2y = 6
6y = -6
y = -6/6
y = -1
We have the value of y, then the value of x will be:
x = 3 + y
= 3 + (-1)
= 3 - 1
= 2
So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)
Write a expression for the following problem.
Frank was going on a trip. He filled his car with 14 gallons of gas. He then drove to his destination and used 14 gallons of gas.
The expression is 14 - 14.
What is the expression?Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to depict subtraction is -. Other mathematical operations are addition, multiplication and division.
In order to determine the expression for the amount of gas left, we need to subtract the gas bought from the gas used: 14 - 14
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Which function represents the graph below?
Answer:
b
Step-by-step explanation:
Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4
Answer:
b) 2x - y = -4
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.
The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.
Next, we need to determine which of the given options matches the graph. It helps to transform each of them into their slope-intercept form, y = mx +b:
a) 2x + y = 42x - 2x + y = - 2x + 4
y = -2x + 4 (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).
b) 2x - y = - 42x - 2x - y = - 2x - 4
-y = -2x - 4
Divide both sides by -1:
\(\frac{-y}{-1} = \frac{-2x - 4}{-1}\)
y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.
We could easily disregard the last two options because both of their y-intercept is 0.
Therefore, the correct answer is Option b) 2x - y = - 4
please help!!! I dont know which ones....
Answer:
g(x) =1
x-1
it's either g(x) or f(x)