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Crank
3 years ago
11

Find the missing angle. 9 5 x°​

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

45 degrees

Step-by-step explanation:

the right angle is 90 degrees and one angle is 45 degrees and 90+45=135 and 180-135=45 so 45 degrees is the missing angle

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A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the
Ilia_Sergeevich [38]

$972.00/1.08 = Total pre-tax was $900

5 0
2 years ago
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> 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 are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

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

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
alexgriva [62]

Answer: 12 miles per gallon

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3 0
3 years ago
Read 2 more answers
Sand and gravel are mixed in the ratio 5:3 to form ballast.
r-ruslan [8.4K]
<h3>Answer:  1250 kg of sand</h3>

Work Shown:

sand/gravel = 5/3

x/750 = 5/3

3x = 750*5

3x = 3750

x = 3750/3

x = 1250

8 0
1 year ago
Simplify each expression.<br>1) -8(k - 4)​
Lera25 [3.4K]

Answer:

<h2>-8(k - 4) = -8k + 32</h2>

Step-by-step explanation:

-8(k - 4)         <em>use the distributive property: a(b + c) = ab + ac</em>

= (-8)(k) + (-8)(-4) = -8k + 32

6 0
3 years ago
Read 2 more answers
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