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myrzilka [38]
2 years ago
12

Find 20%of 30%of 180

Mathematics
1 answer:
shepuryov [24]2 years ago
8 0

Answer:

10.8

Step-by-step explanation:

30%of 180

30/100 = 180

(180x30)/100

5400/100

54

20% of 54

20/100 = 54

(54x20)/100

1080/100

10.8

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What is the value of x? inscribed angles
Flura [38]

The value of x is 84°.

Solution:

Measure of intercepted arc = 168°

Measure of angle x = ?

<u>Tangent-chord relationship:</u>

<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>

$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ

$\Rightarrow \angle x = 84^\circ

The value of x is 84°.

8 0
3 years ago
Find the value of x.
arsen [322]

Answer:

x = 4

Step-by-step explanation:

used a calculator i hope this helps <3

7 0
2 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
Combine like terms for <br> (3x²+2x²-5x+7)+(4x²+2x-3)
horsena [70]

Answer:

9x^2-3x+4

Step-by-step explanation:

(3x^2+2x^2-5x+7)+(4x^2+2x-3)

5x^2-5x+7+4x^2+2x-3

5x^2+4x^2-5x+2x+7-3

9x^2-3x+7-3

9x^2-3x+4

5 0
2 years ago
Read 2 more answers
Solve the equation. 9-(-2)
Ugo [173]

Answer:

11

Step-by-step explanation:

Two negatives cancel each other out and makes the equation 9+2. 9+2 equals 11.

8 0
2 years ago
Read 2 more answers
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