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stich3 [128]
3 years ago
12

suppose you are asked to list, in order of preference,your five favorite albums you purchased in the past 12 months. if you boug

ht 20 albums over this time period, in how many ways can the five favorites be ranked?
Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

<span>When the order doesn't matter, we would be using the Combination. While, when the order does matter it is called permutation.</span>

 

In this case, permutation would be use since there is a ranking for the albums.

We need to choose and arrange 5 albums out of 20. Hence, the number of possible ways will be:

<span>5/20 P = 20! Divided by (20 – 5)! = 20 x 19 x 18 x 17 x 16 = 1860480</span>

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The equation 6x - 5y = 14 is written in standard form. Which point lies on
dimaraw [331]
Answer= H (-1, -4)

Explanation= 6(-1) - 5(-4) = 14
(-6) + (20) = 14
14=14 * it works !
GOODLUCK!
4 0
2 years ago
Katie solved the equation by completing the square. X2+12x−7=0 which equation shows one of the steps katie could have taken to c
sdas [7]

solution:

x^{2}+12x-7=0\\add 7 to both side of the equation\\x^{2}-12x=7\\to creat a trinomial square on the left side of the equation.\\find a value that is equal to the square of b and the cofficent of x.\\(\frac{b}{2})^2=(-6)^2\\add the term to each side of the equation\\x^2-12x+(-6)^2=7+(-6)\\x^2-12x+36=43\\(x-6)^2=43\\solve the equation for x.\\take the square root of each side of the equation to the set up the solution x,\\(x-6)^2.\frac{1}{2}=\pm \sqrt{43}\\x-6=\pm \sqrt{43}\\x=6\pm \sqrt{43}

4 0
3 years ago
Read 2 more answers
10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi
lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597

7 0
3 years ago
Read 2 more answers
Round to the nearest tenth.
inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

CosA = adjacent/hypotenuse

CosA = 10/17

CosA = 0.5882

By use of the calculator or table of values,

A = 53.97

Approximately to the nearest tenth,

A = 53.9 degrees

6 0
3 years ago
What are the solutions of X squared plus 6X -6 =10
Y_Kistochka [10]

Answer:

x=4+root6x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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