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lesya [120]
2 years ago
6

Assume that y varies directly with x. If y = 16 when x = 8, find y when x = 5.

Mathematics
1 answer:
dem82 [27]2 years ago
6 0

Answer:

Step-by-step explanation:

5y + x = 25

Subtract x from both sides when x = 5

5y + x - x = 25 - x

5y = 20

5y/5 = 20/5

=4

Y=4

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A bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the
disa [49]

Answer:

Therefore, the probability is P=1/84.

Step-by-step explanation:

We have a  bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.

We conclude that in a bag have 9 tokens.  

We calculate the probability that the red tokens are drawn consecutively.

We calculate the number of possible combinations:

C_3^9=\frac{9!}{3!(9-3)!}=84\\\\

Number of favorable combinations is 1.

Therefore, the probability is P=1/84.

4 0
2 years ago
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.
tino4ka555 [31]

The probability that the cube never lands on 3 is (D) 23.3%.

<h3>What is probability?</h3>
  • A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

To find the probability that the cube never lands on 3:

Given -

  • Number cube toss = 8

Required

  • Probability of not landing on 3.

First, we need to get the probability of landing on 3 in a single toss.

For a number cube,

  • n(3) = 1 and n(total) = 6

So, the probability is P(3) = 1/6

First, we need to get the probability of not landing on 3 in a single toss.

Opposite probability = 1.

  • So, P(3) = P(3') = 1.

Make P(3') the subject of the formula.

  • P(3') = 1 - P(3)
  • P(3') = 1 - 1/6
  • P(3') = 5/6

In 8 toss, the required probability is (P(3'))⁸

This gives:

  • P = (5/6)⁸
  • P = 390625/1679616
  • P = 0.23256803936

Approximate to 1 decimal place, P = 23.3%.

Therefore, the probability that the cube never lands on 3 is (D) 23.3%.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?

A. 6.0%

B. 10.4%

C. 16.7%

D. 23.3%

5 0
9 months ago
The sum of the digits of a two-digit number is 6. when the digits are reversed, the number decreased by 18. find the original nu
poizon [28]
<span>2x + x = 12
=> x =12/3 =4
so, original number is 84.</span>
3 0
3 years ago
An experiment consists on rolling a fair number cube. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. Find the probability
dimulka [17.4K]

Answer:

0

Step-by-step explanation:

The only possible outcomes on the die are 1,2,3,4,5,6.

Since 7 is not in the possible outcome list, It is impossible to obtain a 7 on this 6-sided die.

If the question <em>had </em>asked for the probability of other values, it would have been 1/6, because you can get each number at least once every 6 rolls. This, however varies in terms of experimental probability

Hope this helps

3 0
2 years ago
In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number s
IceJOKER [234]

Answer:

(a)

\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

  • If the number showing is even(2, 4, or 6) or 1, you win $3.
  • If the number showing is either 3 or 5 you win $0.

There are 6 sides in the die.

P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13

(i)The probability distribution of x.

Let x be the amount won

Therefore:

Probability distribution of x.

\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|

(ii) Expected amount of dollar won

Expected Amount

=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\

You would expect to win $2.

7 0
2 years ago
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