There are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering. So option (c) is correct.
To calculate the number of ways to arrange 3 out of 5 books with order mattering, we'll use the permutation formula [tex]\( P(n, k) = \frac{{n!}}{{(n-k)!}} \)[/tex], where ( n ) is the total number of items and ( k ) is the number of items to arrange.
In this case, we have ( n = 5 ) books and we want to arrange ( k = 3 ) of
them. So, [tex]\( P(5, 3) = \frac{{5!}}{{(5-3)!}} \)[/tex].
Let's break down the calculation step by step:
Calculate ( 5! ):
[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \).[/tex]
Calculate [tex]\( (5-3)! = 2! \)[/tex]:
[tex]\( (5-3)! = 2! = 2 \times 1 = 2 \).[/tex]
Divide [tex]\( 5! \) by \( (5-3)! \)[/tex]:
[tex]\( \frac{{5!}}{{(5-3)!}} = \frac{{120}}{{2}} = 60 \).[/tex]
So, there are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering.
The correct answer is: c. 60
Complete Question:
In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)?
a. 5
b. 120
c. 60
d. 10
To make 5 apple pies, you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies?
If x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to 4?
The probability that x is equal to 4 in a binomial distribution with n=10 and p=0.8 is 0.006048.
Explanation:To find the probability that x is equal to 4 in a binomial distribution with n=10 and p=0.8, we can use the probability mass function (PMF) of the binomial distribution.
The PMF is given by: P(x) = (n choose x) * p^x * (1-p)^(n-x)
Substituting the given values, we have: P(4) = (10 choose 4) * 0.8^4 * 0.2^6 = 0.006048
A rectangular room is three times as long as it is wide, and its perimeter is 56 meters. Find the length of the room.
if the mechanical advantages of the component machines in the peeler are 2, 3, and 12, what is the overall mechanical advantage of the apple peeler?
Final answer:
The overall mechanical advantage of an apple peeler with component mechanical advantages of 2, 3, and 12 is the product of these numbers, which is 72. This implies that the input force applied to the apple peeler is multiplied by 72 times.
Explanation:
The student is asking about the overall mechanical advantage of an apple peeler, which is a complex machine made up of components with individual mechanical advantages. To find the total mechanical advantage of a complex machine, you would multiply the mechanical advantages of each component together.
Given that the mechanical advantages of the component machines are 2, 3, and 12, we can calculate the overall mechanical advantage as follows:
Mechanical Advantage of Component 1: 2
Mechanical Advantage of Component 2: 3
Mechanical Advantage of Component 3: 12
To find the overall mechanical advantage, just multiply these together:
Overall Mechanical Advantage = 2 × 3 × 12 = 72
So, the overall mechanical advantage of the apple peeler is 72. This means the input force is multiplied 72 times.
Is -8.4 greater than or equal to 8.7
Answer:
Step-by-step explanation:
A storage container at the area is 3 metres wide, 6 meters long and 4 metres high. How many 50cm by 50cm by 50cm boxes could you fit into storage container?
A storage container at the area is 3 metres wide, 6 meters long and 4 metres high. How many 50cm by 50cm by 50cm boxes could you fit into storage container?
Alice wants to use her savings ($48.40) to buy concert tickets that cost $17.50 each. how many tickets can she buy?
What is an equation of the tangent line at x = 4, assuming that f(4) = 3 and f '(4) = 2? (enter your answer as an equation using the variables y and x.)?
J.c. Penny sells a timed watch for $139.99 that cost$89.97. J.C. Penny’s percent of markup based on the selling price is:
Convey 90 cubic feet into cubic yards
Kerianne paints landscapes, and in late 2018 placed four paintings with a retail price of $160 each in the Holmstrom Gallery. Kerianne’s arrangement with Holmstrom is that Holmstrom will earn a 10% commission on paintings sold to gallery patrons. As of December 31, 2018, one painting had been sold by Holmstrom to gallery patrons.
Holmstrom earned a commission of $16 for the painting sold to gallery patrons.
Explanation:The subject of this question is Mathematics and the grade level is High School.
To calculate the commission earned by Holmstrom for the painting sold, we can use the formula: commission = (retail price * commission rate) / 100. In this case, the retail price of the painting is $160 and the commission rate is 10%, so the commission earned by Holmstrom for the painting sold is $16.
Therefore, Holmstrom earned a commission of $16 for the painting sold to gallery patrons.
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The revenue Kerianne should recognize in 2024 with respect to these four paintings is $216.
The retail price for each painting is $270. Holmstrom Gallery earns a 20% commission on each painting sold.
The steps are:
Calculate the commission by multiplying the retail price by the commission rate:270 × 0.20 = 54
Determine the net revenue for one painting: Subtract the commission from the retail price:270 − 54 = 216
Calculate total revenue for the paintings sold:Only one painting was sold by December 31, 2024. So, the total revenue Kerianne should recognize for 2024 is the net revenue from one painting:
216 × 1 = 216
The correct question is given below,
Kerianne paints landscapes, and in late 2024 placed four paintings with a retail price of $270 each in the Holmstrom Gallery. Kerianne's arrangement with Holmstrom is that Holmstrom will earn a 20% commission on paintings sold to gallery patrons. As of December 31, 2024, one painting had been sold by Holmstrom to gallery patrons. How much revenue with respect to these four paintings should Kerianne recognize in 2024?
Please help! XD??????????????
Answer:
40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5
Step-by-step explanation:
Which of the equations below is correct to compute the present value of the cash flows at 8% interest?
a. p=1000(p/a,i,8)−150(p/g,i,8)+ 150(p/g, i, 4)(p/f, i, 4)
b. p=400(p/a,i,8)+600(p/a,i,5)− 150(p/g, i, 4)
c. p=150(p/g,i,4)+850(p/a,i,4)+ 400(p/a, i, 4)(p/f, i, 4)?
The correct equation to compute present value of cash flows at 8% interest is C. P = 150(P/G, į, 4) + 850(P/A, i, 4) + 400(P/A, i, 4)(P/F, i, 4).
So, option C is correct answer choice.
To calculate the present value of the cash flows in the image, we can use the formula for the present value of an annuity and the formula for the present value of a lump sum.
Here's the step-by-step calculation for the present value of the cash flows at 8% interest:
(1) Identify the annuity and the lump sum:
The cash flows from year 4 to year 8 represent an annuity of $400 per year for 5 years.
The cash flows in years 1, 2, and 3 represent lump sums of $1000, $850, and $700, respectively.
(2) Calculate the present value of the annuity:
We can use the formula for the present value of an ordinary annuity:
PV = PMT × (1 - 1 / (1 + i)^n) / i
Where:
PMT = the annuity payment ($400 per year)
i = the interest rate (8% or 0.08)
n = the number of periods (5 years)
Plugging in the values, we get:
PV = 400 × (1 - 1 / (1 + 0.08)⁵) / 0.08
PV ≈ $1558.94
(3) Calculate the present value of each lump sum:
We can use the formula for the present value of a lump sum:
PV = FV / (1 + i)^n
Where:
FV = the future value (the cash flow amount)
i = the interest rate (8% or 0.08)
n = the number of periods from the present time to the cash flow (1, 2, and 3 years for the lump sums)
Calculate the present value of each lump sum:
PV (year 1) = 1000 / (1 + 0.08)¹ ≈ $925.93
PV (year 2) = 850 / (1 + 0.08)² ≈ $762.09
PV (year 3) = 700 / (1 + 0.08)³ ≈ $613.91
(4) Add the present values of the annuity and the lump sums.
The total present value is the sum of the present value of the annuity and the present values of the lump sums.
Total PV = PV (annuity) + PV (year 1) + PV (year 2) + PV (year 3)
Total PV ≈ $1558.94 + $925.93 + $762.09 + $613.91
Total PV ≈ $3860.87
Complete and correct question:
Which of the equations below is correct to compute the present value of the cash flows at 8% interest?
A. P= 1000(P/A, i, 8) 150(P/G, i, 8) + 150(P/G, i, 4)(P/F, i, 4)
B. P = 400(P/A, i, 8) + 600(P/A, į, 5) 150(P/G, į, 4)
C. P = 150(P/G, į, 4) + 850(P/A, i, 4) + 400(P/A, i, 4)(P/F, i, 4)
Which phrase best defines a food web?
A.
the sum of all actual feeding relationships in an ecosystem
B.
a single pathway of feeding in an ecosystem
C.
the ecological term applied to plants and other photosynthetic organisms that produce glucose
D.
organisms that eat other organisms
PLZZ ANSWER QUICK
The best phrase defines a food web as the sum of all actual feeding relationships in an ecosystem. Thus the correct option is A.
What is the definition?A definition of any word is a detailed description defining the accurate meaning to the reader in order to gain information and understand the meaning to utilize in vocabulary and used in any sentence.
A food web is created by the combination of all the food chains in an ecosystem. Each individual in an ecosystem occupies a specific trophic level, location, or network of interrelationships with other creatures.
An ecological group's what really is depicted graphically in a food web, which is the result of the natural connections between food chains. In order to understand biology and evolution, it is vital to understand how food webs function.
Therefore, option A is appropriate.
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. A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling x units is 20x + 0.25x 2 dollars. (a) Find the production level which maximizes profit. (in other words, find the x that maximizes profit) (b) A tax of $10 per unit is imposed on the firm. What is the new optimum production level?
Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulting solution.
Answer:
58.4% solution
Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4
Using the numbers 8, 4, 6, and 2 what combination equals 16, ONLY USING THE NUMBERS ONCE, but you can do any operation such as - + ÷ and x
Will Mark Brainliest/Help Asap! (3 questions)!
1)Jeannine runs for 45 minutes every day for exercise. It takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. If x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. What is the fewest number of miles Jeannine must run to complete her daily exercise?
2)Which equation best represents the situation?
Cara served pizza and punch at a party. Each pizza fed 6 people, and each guest received a glass of punch. If a glass of punch cost 50¢, and Cara spent $2.50 for each guest, what was the cost of each pizza?
A. x/6 + 0.50=2.50
B. 6x 0.5x=2.50
C. x/6 + 50=2.50
D. 6x - 2.50=0.50
3)Which inequality best represents the situation?
A contractor charges a flat rate of $150 plus $6 per square foot to install concrete. Tyler has $2500 to spend on a concrete patio. How many square feet can Tyler have installed?
A.2500 + 150 ≥ 6x
B.6x + 2500 ≥ 150
C.150 – 6x ≤ 2500
D.150 + 6x ≤ 2500
Given the set s = { ∅, d, { d }, { { d } }, { { { d } } } }. determine the cardinality of the power set of s list the elements of the power set. to save writing, let v = ∅, w = d, x = { d }, y = { { d } }, and z = { { { d } } }.
You put $500 in a savings account which earns compound interest at a rate of 0.2% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 10 years (120 months)? Round your answer to the nearest whole cent
The length of a rectangle is 5 m less than double the width, and the area of the rectangle is 33 m^2 . Find the dimensions of the rectangle.
Please help ASAP!
lisa had 1,750 stamps. Minah had 480 stamps fewer stamps than lisa. Lisa gave some stamps to Minah. Now, Minah has 3 times as many stamps as lisa. How many stamps did minah have at first?
Simplify I − 0.3i
Hurry!
i-0.3i=0.7i
because there is a 1 in front of i so you would be subtracting 1-0.3=0.7
hope you understood :)
Volunteers at Sams school use some of the student councils savings for a special project. They buy 7 backpacks for $8 each and fill each backpack with paper and pens that cost $5. By how much did the student councils savings change because of this project
Put these fraction from least to greatest: 4/9 2/9 8/9 1/9
give a verbal explanation that explains how these three numbers are related
they all relate by making 816:3
Answer:
Step-by-step explanation:
In an experiment, a, b, c, and d are events with probabilities p(a) = 1/4, p(b) = 1/8, p(c) = 5/8 and p(d) = 1/4. furthermore, a and b are disjoint, while c and d are independent. • are a and b independent? • find p(a ∪
b.and p(c ∩ d)
a truck driver needs to drive his load to a destination that is 2760 miles away how many miles on average will he have to drive each day if he takes one week plus one half day to get there?
What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?