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Vlada [557]
3 years ago
5

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

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

In which:

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.

Combinations formula:

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)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
Fractions and mixed numbers I need help!!!
zimovet [89]

Answer:

The answer would be D, or 3^{3} *3^{2}* 5

Step-by-step explanation:

A is 540

B is 30

C is 720

D is 360

7 0
3 years ago
What is the length of D.<br> 8ft
KengaRu [80]

Answer:

96 inches

Step-by-step explanation:

8 ft is 8(12) inches, which is 96 inches

6 0
3 years ago
the volume of the rectangular prism shown below is 96 cubic feet. The dimensions of the prism base are 4 feet and 3 feet. What i
g100num [7]
Height=volume:base area
96:(4*3)= 96:12=8
7 0
2 years ago
The temperature in the ice rink must stay below 50° F. This morning the temperature was 68°F. The ice rink runs a cooling device
german
The answer is h > 4.
Explanation: 68- 18=50
18/4=4.5. It is asking for below 50, and it had to cool for over 4 hours, which is >. I hope this helps. Please give me Brainliest.
6 0
3 years ago
Read 2 more answers
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