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3 years ago

in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league

1 answer:

7 0

Since it’s a 10 team league and each team plays with the other team twice then 10+10=20, thus there would be 20 games played

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If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).

dexar [7]

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

3 0

3 years ago

Jonah has collected 91 coins worth $7.20 in his piggy bank. his collection includes only dimes and nickels. how many dimes are t

deff fn [24]

<span>There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows: x.10+(91-X).05=7.2 Solving through will yield X =53 which means 91 - 53 = 38. 53*.10 + 38*.05 = $7.20. Other methods will also work, but this is the most straight forward.</span>

5 0

3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

What are the domain and range of the function f(x)=5^x-3+1

Hunter-Best [27]

The domain is the set of all possible values of independent variable I.e of x. The range is the complete set of all possible resulting values of the dependent variable of i.e of y

8 0

3 years ago

Read 2 more answers

Find the solution(s) to the equation sin(x/2) + cos x - 1 = 0 on the interval 0 less than or equal to x 2pie

quester [9]

Answer:

A: 0

B: pi/3

E: 5pi/3

Step-by-step explanation:

8 0

3 years ago