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ss7ja [257]
3 years ago
5

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

x = 111

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900

Sum the interior angles and equate to 900

x + 139 + 121 + 125 + 126 + 158 + 120 = 900

x + 789 = 900 ( subtract 789 from both sides )

x = 111

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andrezito [222]

Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

Given: n = 44 students, n' = 15+12 = 27 females

Substitute into equation 1

Pr(female) = 27/44

Pr(female) = 0.61.

Hence the probability of selecting a female is 0.61

3 0
3 years ago
he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034
garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that p = 0.3694

An upcoming monthly schedule contains 12 games.

This means that n = 12

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0
3 years ago
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Trava [24]

Answer:

10.95 (if you need to round 11)

Step-by-step explanation:

:p

3 0
3 years ago
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Ivenika [448]

Answer:

<h2>Height (h) =54.6mm</h2>

Step-by-step explanation:

Given :

Base (b) = 7.7mm

Area (a) = 210.21mm^2

Height (h) = ?

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Step-by-step explanation:

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