Answers
No because it has a constant rate of change
Related Questions
on a test of 80 problems, Bill got 75% of the problema correct.
How many did he get correct?
Answers
Answer:
60 problems
Step-by-step explanation:
Find how many he got correct by multiplying 80 by 0.75:
80(0.75)
= 60
So, Bill got 60 problems correct
Hi! I need help with this math word problem. Thank you so much
Answers
Let S be the number of sodas sold, and H the number of hot dogs. If a vendor sold a combined total of 220 sodas and hot dogs, then:
\(S+H=220...(1)\)If the number of sodas sold was 46 more than the number of hot dogs sold, we have:
\(S=46+H...(2)\)Using equation (2) in (1):
\(\begin{gathered} 46+H+H=220 \\ 2H=220-46 \\ 2H=174 \\ \Rightarrow H=87 \end{gathered}\)Finally, using this result in (2):
\(\begin{gathered} S=46+87 \\ \Rightarrow S=133 \end{gathered}\)Answer: The vendor sold 133 sodas and 87 hot dogs.
Find sets A and B such that A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}
Answers
Answer:yes
Step-by-step explanation:99
The graph represents a quadratic function. Write an equation of the function in standard form.
Answers
A quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
Given that, the graph is passing through (2, 0), (10, 0) and (6, -4).
What is a quadratic function in standard form?The standard form of a quadratic equation is given as:
ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.
Now, the equation passes through (2, 0)
y = ax² + bx + c
0 = 4a + 2b + c ----------------(1)
The equation passes through (6, -4)
y = ax² + bx + c
-4= 36a + 6b + c ----------------(2)
The equation passes through (10, 0)
y = ax² + bx + c
0 = 100a + 10b + c ----------------(3)
Using the Gauss elimination method to solve the system of equations we get,
a = 1/4, b = -3, and c = 5
The quadratic equation will be:
y = ax² + bx + c
y = (1/4) x² - 3x + 5
Therefore, a quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
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Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
Answers
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
Wind speed varies in the first twenty meters above the ground. For a particular day, let compute the wind speed above the ground. What is the wind speed above the ground
Answers
Answer:
7.61 meters per second
Step-by-step explanation:
The speed of the wind at x meter i.e. above the ground should be
f(x) = 1.5 ln x + 5.2
Now to determine the wind speed at 5 meters above the ground substitute
i.e.
x = 5 for the above function
= 1.5 ln (5) + 5.2
= 7.61
So the speed of the wind above the ground is 7.61 meters per second
And the same is to be considered
The original price of a
42-inch TV is $399. An
electronics store is
offering the TV for
15% off of the original
price plus a $25
discount. How much
will the TV cost after
both the sale and
discount?
A) $314.15
B) $40.00
C) $326.85
D) $359.00
PLEASE HELP
Answers
Answer:
$314.15 (A)
Step-by-step explanation:
We start by subtracting the 15% discount. 15% can be represented by 0.15, and 100% can be represented by 1. So therefore, the new price of the TV will be 1-0.15 = 0.85 of the original price using just the 15% discount. Therefore, 0.85 x 399 = $339.15. We then take this number and subtract another $25 to get $314.15
Let f(x)= x^2+1. Find and simplify the following:
(a) f(x-4)=
(b) f(x-4)-f(-4)
Answers
Answer:
f(x-4) = x²-8x + 17
f(x-4)-f(-4) = x²-8x
Step-by-step explanation:
Given the function:
f(x) = x^2+1
f(x-4) = (x-4)^2+1
f(x-4 ) = x² - 8x + 16 + 1
f(x-4) = x²-8x + 17
For f(x-4)-f(-4)
f(-4) = (-4)²+1
f(-4) = 16+1
f(-4) = 17
f(x-4)-f(-4) = x²-8x + 17 - 17
f(x-4)-f(-4) = x²-8x
A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.
Answers
Answer:
-0.756
Step-by-step explanation:
N1 = 9
N2 = 9
Sd1 = 1.5 hours
Sd2 = 1.3 hours
X1 = 5 hours
X2 = 5.5 hours
Hypothesis
H0: mu1 - mu2 = 0
H1 : mu1 - mu2 not equal to 0
Test statistic
t = (x1 - x2)/SE
SE is the standard error, which is unknown
SE = √sd1²/n1 + sd2²/n2
= √1.5²/9 + 1.3²/9
= √0.25+0.1878
= √0.4378
= 0.66166
t statistics = (5-5.5)/0.66166
= -0.5/0.66166
= -0.756
ALGEBRA please put a very small explanation to the awnser
Answers
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution. Group of answer choices I would not be surprised because there are lots of lazy students in Iowa City. I would not be surprised because 3% is not that far away from 9%. I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage. I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!
Answers
Complete Question
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.
Group of answer choices
A I would not be surprised because there are lots of lazy students in Iowa City.
B I would not be surprised because 3% is not that far away from 9%.
C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.
D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is n = 120
The mean of the proportion is p = 0.09
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)
=> \(\sigma = \sqrt{\frac{0.09(1-0.09)}{120 } }\)
=> \(\sigma = 0.02612\)
Generally the chance that fewer than 3% of households in the sample recycle their garbage is mathematically represented as
\(P(X < 0.03) = P( \frac{X - p}{\sigma} < \frac{0.03 -0.09}{0.02612} )\)
\(P(X < 0.03) = P( Z < -2.297 )\)
From the z-table
\(P( Z < -2.297 ) = 0.01\)
=> \(P(X < 0.03) = 0.01/tex]
=> \(P(X < 0.03) = 1\% /tex]
What happens at equilibrium price and quanity? 1.The quantity supplied equals the quantity demanded.
2.The price demanded equals the price supplied.
3.The priced demanded equals the quantity supplied.
4.The quantity supplied equals the price demanded.
Answers
Answer:
Step-by-step explanation:
At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.
This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.
HELP ILL MARK BRAINIEST
Answers
Answer:
medium nails in John = 40
medium nails in susan = 176
40/176
=5/22
so proportion is 5:22
Step-by-step explanation:
Hope this helps, have a great day!
Answer:
there no cartoon tho so I can really help but put one up
Prove that the only automorphism of a well-ordered set is the identity?
Answers
The only automorphism of a well-ordered set is the identity.
To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.
Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.
Let f: W → W be an automorphism of the set.
We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.
Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.
Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.
Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.
Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.
Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.
Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.
By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.
However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.
Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.
Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.
Hence, the only automorphism of a well-ordered set is the identity function.
Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.
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which of these statements best compares the pair of line segments with the vertex
Answers
Answer:
Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
Step-by-step explanation:
A line segment is defined as a portion of a line that has two endpoints.
A vertex is defined as the common endpoint of two or more rays or line segments.
Marcus passed a football 24yd. Convert the pass length to meters. Round to one decimal place
Answers
Answer:
Marcus passed the football 21.9 meters
Marcus passed a football 21.9 meters.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Marcus passed a football 24 yards.
And conversion rate:
1 yard = 0.9144 meter
So, 24 yards = 21.9456 meters.
24 yards = 21.9 meters.
Therefore, the pass was 21.9 meters.
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PLS HELP AND ANSWER QUICK
Answers
Answer:
ACB=44°
DCE=35°
BCD=101°
Step-by-step explanation:
ACB is a triangle and all triangles are 180 degrees
78+58=136
180-136=44
DCE is also a triangle
85+60=145
180-145=35
a straight line is 180 degrees, we already know what the other two is.
35+44=79
180-79=101
O Points: 0 of
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it
medicine, 7 reacted unfavorably, and 2 were unaffected. If three of the patients are randomly selected, determine the probability that nor
Answers
If three of the patients are randomly selected, then the probability that none of the patients reacted favorable is 21/506.
In the given question,
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients.
After the study was concluded, it was concluded it was determined that 15 patients reacted favorably to the medicine, 7 reacted unfavorably, and 2 were unaffected.
If three of the patients are randomly selected, then we have to determine the probability that none of the patients reacted favorable.
Total patient are 24.
The patients reacted favorably to the medicine is 15.
The patients reacted unfavorably to the medicine is 7.
The patients unaffected to the medicine is 2.
Randomly selected patients are 3.
So the probability that none of the patients reacted favorable
P(E) = 9/24 × 8/23 × 7/22
Simplifying
P(E) = 9/3 × 1/23 × 7/22
P(E) = 3 × 1/23 × 7/22
P(E) = 21/506
Hence, if three of the patients are randomly selected, then the probability that none of the patients reacted favorable is 21/506.
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The right question is
"A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was concluded it was determined that 15 patients reacted favorably to the medicine, 7 reacted unfavorably, and 2 were unaffected. If three of the patients are randomly selected, then we have to determine the probability that none of the patients reacted favorable."
Student scores on Professor Combs' Stats final exam are normally distributed with a mean of 76 and a standard deviation of 7.2Find the probability of the following:**(use 4 decimal places)**a.) The probability that one student chosen at random scores above an 81. b.) The probability that 20 students chosen at random have a mean score above an 81. c.) The probability that one student chosen at random scores between a 71 and an 81. d.) The probability that 20 students chosen at random have a mean score between a 71 and an 81.
Answers
a) \(IP=0.2437.\)
b) \(IP=0.0009.\)
c) \(IP= 0.5126.\)
d) \(IP=0.9982.\)
Step-by-step explanation:a.) The probability that one student chosen at random scores above an 81.x= 81
u= 76
s= 7.2
\(Z=\frac{(81)-(76)}{7.2}=0.6944\)
(Check the attached images) Using the function "NORM.S.DIST" on Microsoft Excel we get:
IP(S>81)= 0.2437.
b.) The probability that 20 students chosen at random have a mean score above an 81.Now, we need to calculate the Z value with the following formula, because we are nor working with a sample (the 20 students):
\(Z=\frac{x-u}{(\frac{s}{\sqrt{n} } )}\)
"n" is the sample size, and it equals 20 for this case.
\(Z=\frac{81-76}{(\frac{7.2}{\sqrt{20} } )}=3.1056\)
\(IP(x > 81,n=20)=0.0009\)
c.) The probability that one student chosen at random scores between a 71 and an 81.The answer to this problem is given by:
IP= (Probability of a student scoring 81 or less)-(Probability of a student scoring 71 or less)
1. For the probability of a student scoring 81 or less:
\(Z=\frac{81-76}{7.2} =0.6944\)
\(IP(Z < 0.6944)=0.7563\)
2. For the probability of a student scoring 81 or less:
\(Z=\frac{71-76}{7.2} =-0.6944\)
\(IP(Z < -0.6944)=0.2437\)
IP=0.7563-0.2437= 0.5126.
d.) The probability that 20 students chosen at random have a mean score between a 71 and an 81.\(Z_{1} (x < 71,n=20)=-3.1056\\ \\Z_{2} (x < 81,n=20)=3.1056\\ \\IP(Z < 3.1056)=0.9991\\ \\IP(Z < -3.1056)=0.0009\\ \\IP(Z_{1} < Z < Z_{2} )=0.9991-0.0009=0.9982\)
Please check the attached document to better understand the process for calculating all the answers.-------------------------------------------------------------------------------------------------------
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unga oog boog ogah?
Answers
Answer:
ooage booge ohag
Step-by-step explanation:
oomago ooga booga
Answer:
I got a universal translator and got "Hello in caveman goodbye in caveman"
Step-by-step explanation:
The box plots show the student grades on a chapter test compared to the grades on a retest in the same class. Box plots titled Chapter Test versus Retest with horizontal axis labeled Class Marks ranges from 0 to 100. Chapter Test box plot with minimum between 40 and 50 and maximum between 90 and 100 has interquartile ranges approximately between 50 and 80 and median approximately at 70. Retest box plot with minimum between 50 and 60 and maximum approximately at 100 has interquartile ranges approximately between 60 and 80 and median approximately between 60 and 70. Which of the following best describes the information about the medians? The chapter test and retest medians are almost the same. The chapter test and retest Q3 are the same, but the chapter test has the higher median. The chapter test median is much higher than the retest median. The low outlier on the chapter test pulls the median lower.
Answers
Answer:
i think its - The chapter test and retest Q3 are the same, but the chapter test has the higher median.
Step-by-step explanation:
if i'm wrong please let me know.
Answer:
C )The chapter test and retest Q1 are the same, but the retest has the higher median.
12 points ik its not alot but i need help please.The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice $1.09
How much change should Sara receive from a $10 bill? pls show work
Answers
Answer:
The change should Sara receive from the $10 bill is $3.56.
Step-by-step explanation:
Given:
The table shows the prices of some breakfast items at a restaurant.
Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice
$1.09
Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast.
The sales tax for the order was $0.48.
She paid for her breakfast with a $10 bill.
Now, to find the change should Sara receive from the $10 bill.
Bill for the Sara's breakfast:
2 eggs =
A slice of bacon = $1.49.
A glass of orange = $1.09.
The sales tax = $0.48.
Total bill =
Sara paid for the breakfast bill = $10.
Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:
Therefore, the change should Sara receive from the $10 bill is $3.56.
Answer:
Her change would be 3 dollars and 56 cents
Step-by-step explanation:
1.69 times 2 because she ordered 2 eggs
1.49 for the bacon
1.09 for the orange juice
0.48 for the sales tax
add them all up
it would equal 6.44
then subtract 6.44 from 10 which would equal 3.56
List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
Answers
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is sample space?Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.
In the given question,
The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.
Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.
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Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)
Answers
Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
Please help me in this! you get 30 points!
Answers
Answer:
y=3x-2
Step-by-step explanation:
You can verify it's not D because the y-intercept is at -2.
You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.
You can verify it's not B because that would mean the x-intercept is 1.5
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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What are the coordinates of the point labeled C in the graph?
A. (-3, 2)
B. (3, 2)
C. (2,-3)
D. (3,-2)
Answers
Answer:
(-3,2)
Step-by-step explanation:
C is located at positive -3 on the x-axis (horizontal) and located at positive 2 on the y (vertical).
A vendor at a carnival sells cotton candy and caramel apples for $3 each. The vendor is charged $275 to set up his booth. Furthermore, the vendor's average
cost for each product he produces is approximately $0.25.
(a) Write a linear cost function representing the cost C(x) (in S) to the vendor to produce x products.
(b) Write a linear revenue function representing the revenue R (x) (in S) for selling x products.
(c) Determine the number of products to be produced and sold for the vendor to break even.
(d) If 40 products are sold, will the vendor make money or lose money?
Part: 0 / 4
Part 1 of 4
(a) The linear cost function representing the cost is C(x)=
Next Part
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Answers
The fixed cost is $275, and the variable cost for each product is $0.25.
The cost function can be written as: C(x) = 275 + 0.25x
How to solve(a) The linear cost function representing the cost C(x) (in $) to the vendor to produce x products can be determined by considering both the fixed cost (booth setup) and the variable cost (cost per product).
The fixed cost is $275, and the variable cost for each product is $0.25.
Therefore, the cost function can be written as:
C(x) = 275 + 0.25x
b. (b) R(x) = 3x, where x is the number of products sold and R(x) is the revenue in dollars.
(c) To break even, the cost must equal the revenue: 0.25x + 275 = 3x. Solving for x, we get x = 137.5. The vendor must produce and sell 138 products to break even.
(d) If 40 products are sold, the cost is C(40) = 0.25(40) + 275 = $285, and revenue is R(40) = 3(40) = $120. The vendor will lose money, as the cost is greater than the revenue.
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A national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile. Brian's sales
are at the 33rd percentile.
(If necessary, consult a list of formulas.)
(a) Which of the following must be true about Karen's sales?
The value of Karen's sales were about 26% of the chain's total.
O The value of Karen's sales was in the top half of all of the salespeople.
O Karen sold $2600 in merchandise.
O Karen had sales lower in value than about 74% of the salespeople.
(b) Which of the following must be
true about Karen's and Brian's sales?
The value of Brian's sales were $700 more than Karen's.
O The value of Karen's sales were $700 more than Brian's.
O Both Karen and Brian had sales higher in value than the median.
O Both Karen and Brian had sales lower in value than the median.
Answers
(a) The truth about Karen's sales is that Karen had sales lower in value than about 74% of the salespeople. So, the correct option is D.
(b) The truth about Karen's and Brian's sales is that both Karen and Brian had lower sales in value than the median. So, the correct option is D.
Given that department stores rank their 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile and brian's sales are at the 33rd percentile.
A percentile is a measure used in statistics that indicates the value below which a certain percentage of observations in a group of observations falls.
(a) Karen had sales lower in value than about 74% of the salespeople because the 26% percentile represents his relative position among all the employees in terms of sales.
(b) Both Karen and Brian had sales lower in value than the median because the Median represents the 50th percentile. Since Karen's sales are at the 26th percentile and Brian's sales are at the 33rd percentile it implies their sales are less than the median value.
Hence, the truth about Karen's sales is Karen had sales lower in value than about 74% of the salespeople, and true about Karen's and Brian's sales is both Karen and Brian had lower sales in value than the median.
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Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. How many different ways can they stand in line?
40 points && brainliest! pls help.
Answers
Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.
How does factorial work?Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.
Thus, if we want to take the factorial of 'n',(n being a positive integer), then:
\(n! = 1 \times 2 \times \cdots \times (n-1) \times n\)
Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.
The different ways they can stand in line = 4!
\(= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24\)
So, there are 24 different ways they can stand in line.
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