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Dafna1 [17]
3 years ago
9

Find the length of side e to the nearest tenth in the triangle below.

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:12.1

Step-by-step explanation:

Angle D=180-(82+52)

Angle D=180-134

Angle D=46

Using sine rule

e/sinE=d/sinD

e/sin52=11/sin46

e/0.7880=11/0.7193

e/0.7880=15.29

Cross multiply

e=15.29 x 0.7880

e=12.05

e=12.1 approximately

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pickupchik [31]

Answer:

b (-3,3)

Step-by-step explanation:

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7 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
What is the range for the scores: 13, 23, 60, 46, 53, 75.
vova2212 [387]
Hello there.

Question: <span>What is the range for the scores: 13, 23, 60, 46, 53, 75.

Answer: Range is the largest value minus the smallest answer:
75 - 13 = 62.
The range is 62.

Hope This Helps You!
Good Luck Studying ^-^</span>
6 0
3 years ago
What is the value of x (x+2)(x-3)=0
wolverine [178]

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

(x + 2) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

8 0
3 years ago
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