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3 years ago

12

At a benefit concert, seven bands have volunteered to perform but there is only enough time for five of the bands to play. How

many lineups are possible?

1 answer:

Artist 52 [7]3 years ago

8 0

I believe the answer is 35.

You might be interested in

Choose the replacement for x and y that makes this equation a true statement: 4x − 5y = −69

lesya [120]

there are various possible answers ( up till infinity)

i'll give you five possible ones:

1) x = -16 and y = 1

2) x = -11 and y = 5

3) x = -1 and y = 13

4) x = 4 and y = 17

5) x = 104 and y = 97....

8 0

3 years ago

Help me please!!! I really need it!

Sati [7]

<u>Answer:</u> The value of x can be either 5 or 10.

<u>Step-by-step explanation:</u>

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

8 0

3 years ago

1. In the diagram below , lines a and b are paraller and cut by traversal, t of angle 3 is 120 degrees, find the measure of angl

Lelu [443]

the complete question in the attached figure

<span>1. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 3 is 120 degrees, find the measure of angle 7.

</span>∡3=∡7------------- >  <span>corresponding angles
the answer is </span>∡7=120 degrees

<span>2. in the diagram below , lines a and b are parallel and cut by traversal, t of angle 2 is 50 degrees, find the measure of angle 8.

</span>∡2=∡8------------- >  <span>alternate exterior angles
</span>
the answer is ∡8=50 degrees

<span>3. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 6 is 50 degrees, find the measure of angle 4.

</span>∡6=∡4------------- >  <span>alternate interior angles

</span>the answer is ∡4=50 degrees

6 0

3 years ago

Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the p

zubka84 [21]

Answer: The required answers are

(a) 0.25, (b) 0.62, (c) 6.

Step-by-step explanation: Given that we toss a fair coin 10 times and X denote the number of heads.

We are to find

(a) the probability that X=5

(b) the probability that X greater or equal than 5

(c) the minimum value of a such that P(X ≤ a) > 0.8.

We know that the probability of getting r heads out of n tosses in a toss of coin is given by the formula of binomial distribution as follows :

$P(X=r)=^nC_r\left(\dfrac{1}{2}\right)^r\left(\dfrac{1}{2}\right)^{n-r}.$

(a) The probability of getting 5 heads is given by

$P(X=5)\\\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}\\\\\\=\dfrac{10!}{5!(10-5)!}\dfrac{1}{2^{10}}\\\\\\=0.24609\\\\\sim0.25.$

(b) The probability of getting 5 or more than 5 heads is

$P(X\geq 5)\\\\=P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}+^{10}C_6\left(\dfrac{1}{2}\right)^6\left(\dfrac{1}{2}\right)^{10-6}+^{10}C_7\left(\dfrac{1}{2}\right)^7\left(\dfrac{1}{2}\right)^{10-7}+^{10}C_8\left(\dfrac{1}{2}\right)^8\left(\dfrac{1}{2}\right)^{10-8}+^{10}C_9\left(\dfrac{1}{2}\right)^9\left(\dfrac{1}{2}\right)^{10-9}+^{10}C_{10}\left(\dfrac{1}{2}\right)^{10}\left(\dfrac{1}{2}\right)^{10-10}\\\\\\=0.24609+0.20507+0.11718+0.04394+0.0097+0.00097\\\\=0.62295\\\\\sim 0.62.$

(c) Proceeding as in parts (a) and (b), we see that

if a = 10, then

$P(X\leq 0)=0.00097,\\\\P(X\leq 1)=0.01067,\\\\P(X\leq 2)=0.05461,\\\\P(X\leq 3)=0.17179,\\\\P(X\leq 4)=0.37686,\\\\P(X\leq 5)=0.62295,\\\\P(X\leq 6)=0.82802.$

Therefore, the minimum value of a is 6.

Hence, all the questions are answered.

3 0

4 years ago

12 minutes to drive 30 laps; 48 minutes to drive 120 laps

myrzilka [38]

You can divide 12min.➗30lps. Then you divide 48➗120lps.
And the answer will be 12➗30=0.4 then 48➗120=0.4 and the answer is that the ratios or rates are equvalent by dividing.

7 0

4 years ago