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goldenfox [79]
3 years ago
8

In the trapezoid below, x = [ ? ]. 2x+6 I 5x=20 4r+2

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

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6 0
3 years ago
If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 5, what is t
Mazyrski [523]

Using binomial distribution, the probability of

a. 5 will still be with the company after 1 year is 28%.

b. at most 6 will still be with the company after 1 year is 89%.

The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.

We are finding probability for people, thus, our sample size, n = 8.

Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.

(i) We are asked for the probability that 5 will still be with the company.

Thus, we take x = 5.

P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),

or, P(X = 5) = (56)(0.07776)(0.064),

or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.

(ii) We are asked for the probability that at most 6 will still be with the company.

Thus, our x = 6, and we need to take all values below it also.

P(X ≤ 6)

= 1 - P(X > 6)

= 1 - P(X = 7) - P(X = 8)

= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)

= 1 - 8*0.0279936*0.4 - 1*0.01679616*1

= 1 - 0.08957952 - 0.01679616

= 0.89362432 ≈ 0.89 or 89%.

Learn more about the binomial distribution at

brainly.com/question/24756209

#SPJ4

The provided question is incomplete. The complete question is:

If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,

a. 5 will still be with the company after 1 year?

b. at most 6 will still be with the company after 1 year?

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2 years ago
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Ben can buy 18 packs of snacks.
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mrs_skeptik [129]
This needs some more detailed explanation but I think it's asking to divide 18 months by 18 to find the monthly rate and then multiply by 12 and add I and P???
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Find the coordinates of point S On QR such that the ratio of QS to SR is 1:3 Q(2,5) R(-2,-3) <br>​
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