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xeze [42]
3 years ago
9

Pls help me

Mathematics
2 answers:
docker41 [41]3 years ago
6 0
12.57 is the actual answer
slega [8]3 years ago
4 0
The area would be approximately 12.57 or 4pi. I hope this helps

Area of a circle = pi•radius^2
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Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite
labwork [276]

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328

Hence, the required probability is 0.1328.

6 0
3 years ago
Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

\bf \bar x=\frac{5+17+12+21+29}{5}=16.8

The standard deviation is

\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0
3 years ago
Given: l || m; ∠1 ∠3
Katarina [22]

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

  • It is given
  • ∠2 ≅ ∠3
  • converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

3 0
2 years ago
Nine squared divided by three to the fourth power
xxTIMURxx [149]
I believe it's 1. hope this helps
8 0
3 years ago
Read 2 more answers
What is the slope of the line through (-9,6)(-3,9)
zheka24 [161]

Answer:

Rise/Run

9-6/-3 - -9

3 / -3 + 9

3 / 6

1/2

3 0
2 years ago
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