All categories

2 years ago

What is the value of c in the equation x^15/x^c =x^6

Mathematics

1 answer:

Galina-37 [17]2 years ago

3 0

Step-by-step explanation:

$\frac{ {x}^{15} }{ {x}^{c} } = { x}^{6} \\ {x}^{15 - c} = {x}^{6}$

15 - c = 6

15 - 6 = c

9 = c

c = 9

You might be interested in

In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a

Sphinxa [80]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = $\frac{2}{5}$

Hence The chance the other card is black is $\frac{2}{5}$

5 0

2 years ago

4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are

Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.

In this problem:

1000 people means that $N = 1000$
130 can wiggle their ears, thus $k = 130$
Two are selected, thus $n = 2$ .

The probability that neither can wiggle his or her ears is P(X = 0), thus:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568$

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0

2 years ago

Please help me on questions 19-21 using this diagram attached

Leona [35]

Vas happenin!!

19. TX
20. O and I can’t see the other bottom of the cube
21. WS
Hope this helps *smiles*
Sorry if it’s wrong

6 0

2 years ago

What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil

pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = $\frac{P( A and B)}{P(B)}$

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = $\frac{P( A and B)}{P(B)}$

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

3 0

3 years ago

Find the number of hours each person work

Lina20 [59]

J stands for Jon, A stands for Angelica, and C stands for Chaya.

J = C - 3
A = C + 4
C = A - 4

= 196 h

62 + 65 + 69 = 196

Jon worked 62 hours, Chaya worked 65 hours, and Angelica worked 69 hours.

And that's your answer! ^ I hope this helped you! c:

6 0

3 years ago