Answer:
it Permutation 32760
Step-by-step explanation:
it permutation because the order is matter
15p4=32760
This is the case of a combination and the possibility of arrangement is 1365.
What is the combination?The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.
Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.
From the difference between permutation and combination:
A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.
Since the order is not asked thus this is the case of a combination
and total arranging possibility = ⁿCₓ
total arranging possibility = ¹⁵C₄
total arranging possibility = 15! /( 11! * 41)
total arranging possibility = 1365
therefore, This is a combination case, and the number of possible arrangements is 1365.
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Delta mathhhh needed!!!!!
The hose on a power washer is 42-ft. long. If the compressor to which the house is attached is located at the corner of a 28-ft wide house, how can the hose reach up the far corner without moving the compressor?
a. What is the exact height that the hose can reach up?
b. What is the approximate height that the hose can reach up?
9514 1404 393
Answer:
a) 14√5 feet
b) about 31.3 feet
Step-by-step explanation:
a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.
h² +(28 ft)² = (42 ft)²
h² = (1764 -784) ft² = 980 ft²
h = √(196·5) ft
h = 14√5 ft
__
b) The approximate height is ...
14√5 ≈ 31.305, about 31.3 feet
Which of the following equations could be used to predict the value, V(t), after t years, of a $1000 investment expected to appreciate by 5% each year?
A
V(t)=1000(0.5)t
B
V(t)=1000(1+0.5)t
C
V(t)=1000(0.05)t
D
V(t)=1000(1+0.05)t
Answer:
D
Step-by-step explanation:
The equations could be used to predict the value is
V(t) = 1000 (1+ 5/100[tex])^t[/tex]
What is Future Value?A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor.
We have,
P= $1000
R= 5%
T= time in years
We know that amount
A(t) = P(1 + R/100[tex])^t[/tex]
So, V(t) = 1000 (1+ 5/100[tex])^t[/tex]
Thus, the required function is V(t) = 1000 (1+ 0.05[tex])^t[/tex]
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In the diagram below, OPis circumscribed about quadrilateral ABCD. VWhat is
the value of x?
A
O A. 55
OB. 105
OC. 100
OD. 60
115
x+10|
Answer:
Value of X = 100°
Step-by-step explanation:
Given:
∠ A = 70°
∠ D = 115°
∠ C = X + 10°
Find:
Value of X
Computation:
In cyclic quadrilateral ∠ A + ∠ C = 180°
So,
70° + X + 10° = 180°
X = 100°
Value of X = 100°
Answer:
A and D
Step-by-step explanation:
Need help!!!! With # 7
Answer:
Step-by-step explanation:
(-∞ , 8]
and
[0 , 8]
im 99% sure this is correct
hope this helps <3
The lowest common denominator of 1/2 ,1/4 , and 1/4 is:
Answer:
LCD = 24
Step-by-step explanation:
Equivalent Fractions with the LCD
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Hope this Helped! :}
I need help please I have to finish this
Answer:
Look at the Screenshot below for the answer
Step-by-step explanation:
Answer:
-5/2
Step-by-step explanation:
What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to the nearest hundredth if necessary.
Which of the following questions describes the equation = -20? What number, when multiplied by four, is equal to negative twenty? What number, when divided by four, is equal to negative twenty? What number, when multiplied by negative twenty, is equal to four? What number, when divided by negative four, is equal to twenty?
Answer:
An equation contains an equal sign so -20 is not an equation, I think it's a typing error
Let v be a vector with initial point (–5, –11) and terminal point (6, 2). What is Norm of vector v?
StartRoot 24 EndRoot
StartRoot 290 EndRoot
24
290
Answer:
B. [tex]\sqrt{290}[/tex]
Step-by-step explanation:
On Edge, just finished the test.
The correct answer is option B which is the norm of the vector v is √290.
What is a vector?The quantity that needs both the direction and the magnitude for their representation is called a vector.
The norm of vector v will be calculated as:-
Let v be a vector with an initial point (–5, –11) and terminal point (6, 2).
Norm = [tex]\sqrt{(6-(-5))^2+( 2-(-11))^2[/tex]
Norm = [tex]\sqrt{121 + 169\\[/tex]
Norm = [tex]\sqrt { 290[/tex]
Therefore the correct answer is option B which is the norm of the vector v is √290.
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Solve for X
9(x+1)=25+x
Answer:
x=2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
9x+9=25+x
-9 -9
9x=16+x
-x -x
8x=16
8x/8 16/8
x=2
Which graph shows a dilation?
Hurry only 30mins left
Answer:
A
Step-by-step explanation:
A dilation is a dilation if a shape gets smaller or bigger while remaining similar
B, C, D gets smaller but does not remain similar while A also gets smaller but it remains similar
The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!
Answer:
you are right it is option a
Step-by-step explanation:
cause
The
property of addition states that any number plus zero equals the other
number.
identity
commutative
Inverse
associative
Answer:
identity 4
Step-by-step explanation:
The probability of a coin landing on heads when it is flipped is
0.5.
What is this probability written as a percent?
Answer:
50%
Step-by-step explanation:Since there is a 0.5 chance of the coin landing on heads add a zero and take off the .0 and you get 50%.
Answer:
50%
Step-by-step explanation:
The theoretical probability to get either heads or tails is 0.5 (or 50 percent). The probabilities of all possible outcomes should add up to 1 (or 100 percent), which it does.
If 20 assemblers can complete a certain job in 6 hours, how long will the same job take if the number of assemblers is cut back to 12?
Given,
Total number of assemblers = 20
They work a job in 6 hours.
To find,
Time to complete the work if the number of assemblers is cut back to 12.
Solution,
Initially,
20 assemblers = 6 hours
1 hour = [tex]\dfrac{20}{6}[/tex] assemblers
If assemblers are 12 then,
[tex]t=\dfrac{20}{6}\times 12\\\\=40[/tex]
Hence, 40 hours will be required if the number of assemblers is cut back to 12.
A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout for all their customers that is greater than $500 per insurance claim. They know that most customers have zero payouts and a few have substantial payouts. The consumer group collects a random sample of 18 customers and computes a mean payout per claim of $579.80 with a standard deviation of $751.30. Is it appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers
It isn't appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
The major reason is because the sample is short and it is given that most consumer has zero payouts.
What do we know?Most customers have zero payouts and a few have substantial payoutsSample size = 18Sample mean = $579.80Sample variance = $751.30How to know if it is appropriate to perform hypothesis testing?The size of the sample taken is not enough large. When sample isn't large enough, it represents skewed information of the population.
The population itself contains many customers who have zero payouts, thus the population isn't normally distributed for insurance claim.
Because of these reasons, the sample mean won't help in deducing conclusions about population mean.
Thus, it is inappropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
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It is not appropriate to perform a hypothesis test for the mean payout of all customers, mostly because the sample is really small.
What do we know?Most customers have zero payouts and a few have substantial payouts Sample size = 18 Sample mean = $579.80 Sample variance = $751.30What does this imply?
The first thing you can see is the sample size, it seems to be really small for a company with thousands of customers, is really probably that just 18 of them do not represent accurately the whole population.
We also do know that a large proportion of the population has zero payouts, so the population is skewed.
Just because of these two motives, the mean of the sample most likely does not accurately portray the whole population, thus is not appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
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Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together? Group of answer choices LaTeX: 3+\frac{1}{2}3 + 1 2 LaTeX: 3-\frac{1}{2}3 − 1 2 LaTeX: \left(1+\frac{1}{2}\right)\cdot3( 1 + 1 2 ) ⋅ 3 LaTeX: 1+\frac{1}{2}\cdot3
it would be 4.5 total
Answer:
4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators
Step-by-step explanation:
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What is 17= x/9 + 3 ?
Step-by-step explanation:
17 = x/9 + 3
x/9 = 14
x = 126.
Select the correct answer.
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
Price
Number of
Pills
50
100
150
$1.85
$3.70
$5.55
$7.40
$9.25
200
250
About how much does one vitamin cost?
$1.85
$0.37
$0.92
$0.04
$0.02
Answer:
Step-by-step explanation:
The approximate cost of one vitamin is $0.04 thus option (A) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given number of pills and cost.
The cost per pill from the first raw = $2.05/50 = $0.041
The cost per pill from the second raw = $4.10/100 = $0.041
The cost per pill remains constant in all so this is a direct proportion.
Hence "The approximate cost of one vitamin is $0.04".
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The complete structured question is below,
Help please tell me
Answer:
x and y are not in a proportional relationship
Step-by-step explanation:
x and y can be said to be in a proportional relationship, if the ratio of each given pair of values (y/x) on the table are equal. The ratio would represent the constant of proportionality.
Let's find out:
(3, 7) = y/x = 7/3 = 2.33
(6, 13) = y/x = 13/6 = 2.17
(9, 19) = y/x = 19/9 = 2.11
(12, 25) = y/x = 25/12 = 2.08
The ratio of each given pair of values are not the same. Therefore, x and y are not in a proportional relationship.
Which of the best following statements BEST described the location of -(-6) on a number line?
A. It is 6 units to the left of 0
B. It is 6 units to the right 6
C. It is 6 units to the right of the 0
D. It is 6 units to the left of 6
Answer:
A
Step-by-step explanation:
because it is a
The store buys shoes at a wholesale price of $50, and their markup is 42%. What is the retail price?
i think it might be 2100
An economy package of cups has 210 green cups. If the green cups are 10% of the total package, how many cups are in the package?
Ms. Kork sold her car for $8700. This was $100 more than two fifths of what she had paid for the car originally. How much mad Ms. Kork paid for the car?
Answer:
8600 is 100 less
3440?
Step-by-step explanation:
P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?
Answer:
12 cm and 24 cm
Step-by-step explanation:
The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )
The sum is therefore
2x + 4x = 36
6x = 36 ( divide both sides by 6 )
x = 6
Thus
GP = 2x = 2 × 6 = 12 cm
PR = 4x = 4 × 6 = 24 cm
Larry is thinking of a number that is between 0 and 300. What is the correct model for this situation?
Answer:
none are correct
Step-by-step explanation:
PLEASE PLEASE HELP ME
Which of the following angles is coterminal with -610?
1. 110
2. 70
3. 250
4. 20
Answer:
number 1 anwser 110
Step-by-step explanation:
Which graph shows the points (−112, 12) and (1.5, −0.5) plotted correctly? On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down. On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
[tex]A\left(-1\frac{1}{2},\:\frac{1}{2}\right)[/tex]Let 'B' be the point:
[tex]B\:\left(1.5,\:-0.5\right)[/tex]As point A(-1 1/2, 1/2) can be written as:
[tex]A=\left(-\frac{3}{2},\:\frac{1}{2}\right)=\left(-1.5,\:0.5\right)[/tex]
so plotting the point [tex]A=\left(-1.5,\:0.5\right)\:\:\:\:[/tex] and [tex]B\:\left(1.5,\:-0.5\right)[/tex] on a [tex]B\:\left(1.5,\:-0.5\right)[/tex].
As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
Answer:
B
Step-by-step explanation:
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Hope you do well! :D
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Express as a logarithm the solution to
4(10)^t/5=25
A)
t = 10
B) t = 2/5
C) t=5 log 25/4
D) t= 1/5 log 25/4