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alekssr [168]
3 years ago
11

5 more than one-eighth of a number equals 13. What is the number?

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer:

64

Step-by-step explanation:

let the number be x, then

\frac{1}{8} x + 5 = 13 ( subtract 5 from both sides )

\frac{1}{8} x = 8 ( multiply both sides by 8 )

x = 64

The number is 64

frez [133]3 years ago
4 0

Answer:

The number is 64

Step-by-step explanation:

Let x be the number

1/8 x +5 = 13

Subtract 5 from each side

1/8x +5-5 = 13-5

1/8 x = 8

Multiply each side by 8

8*1/8x = 8*8

x = 64

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3 years ago
In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

5 0
3 years ago
Derek flips a coin and rolls a number cube at the same time. Derek rolls an even number. Find the probability that the coin came
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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
romanna [79]

Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

   = (-6-5)/ (-2--3)

   = -11(-2+3)

   = -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line

5 0
3 years ago
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