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8_murik_8 [283]
3 years ago
8

Twelve ping-pong balls are in a bag. Ten are white and two are orange. Find the probability that the two orange ping-pong balls

are chosen without replacement and name the type of event. *​
Mathematics
1 answer:
wlad13 [49]3 years ago
8 0

2/12 of a probability

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5 0
3 years ago
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She
Vinil7 [7]

Answer:

128\text{ ft}^{2}

Step-by-step explanation:

We have been given that the area of a square is given by x^2, where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

\text{Area of Mary's new garden}=2x^{2}

Therefore, the expression 2x^2 will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

\text{Area of Mary's new garden}=2(8\text{ ft})^{2}

\text{Area of Mary's new garden}=2*64\text{ ft}^{2}

\text{Area of Mary's new garden}=128\text{ ft}^{2}

Therefore, the area of Mary's new garden will be 128 square feet.

4 0
3 years ago
What is the reason for each step in the solution of the inequality?
Stolb23 [73]
I think it is givin. But I’m am not 100% sure
7 0
3 years ago
An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured autom
Effectus [21]

Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

<u>Determine the 95th percentile of the insurance company payout </u>

Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

                   = 0.2 ( 1 - e^-1/6 )

95th percentile =

= P( y < y₀.₉₅  ) 0.95

  P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307

attached below is the remainder of the solution

5 0
3 years ago
Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
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