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nalin [4]
3 years ago
9

The figure is made up of two shapes, a semicircle and a rectangle.

Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0
3pie+12mm is the correct answer (A)

bearhunter [10]3 years ago
5 0
The answer is A. 3pi + 12mm
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Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be​ ac
Likurg_2 [28]

For this problem, the most accurate is to use combinations


Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are nC_r = \frac{ n! }{r! (n-r)!}

n represents the amount of things you can choose and choose r from them


You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

P = \frac{_{117}C_3}{_{120}C_3}


Where _{117}C_3 is the number of ways to select 3 non-defective components from 117 non-defective components and _{120}C_3 is the number of ways to select 3 components from 120.

_{117}C_3 = 260130

_{120}C_3 = 280840


So:

P = \frac{260130}{280840} = 0.927


Finally, the probability that at least one of the selected components is defective is:


P = 1-0.927 = 0.0737

  P = 7.4%

3 0
3 years ago
CERTAIN ANSWERS ONLY!!! There should 4 answers, thank you in advance. It may be a bit difficult sorry. Thank you :)
yaroslaw [1]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠1 and ∠7 are supplementary.

And we would like to prove that a is parallel to b.

  Statements:                                           Reasons:

\textbf{\textsf{1. $\angle 1$ and $\angle 7$ are supplementary}}              Given

\textsf{2. $m\angle3$ + $m\angle 7$ $= 180$}                               Supplementary Angles

\textsf{3. $\angle3$ and $\angle7$ are supplementary}                Definition of Supplementary

\textsf{4. }\bf{\angle 1 \cong \angle3}                                               Congruent Supplements Theorem

\textsf{5. }a\parallel b                                                      Corresponding Angles Converse

And we are done!

 

3 0
3 years ago
Read 2 more answers
Really need help :( struggling
Scorpion4ik [409]

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

6 0
3 years ago
If 5/8 of the people in water aerobics class are over age 65 and 1/4 of the people in the class are under age 40,what fraction o
LiRa [457]
I think the answer's 7/8. If you convert 1/4 to 2/8 and add them together, you add 5/8 and 2/8 to get 7/8. 
6 0
3 years ago
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
zimovet [89]

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

5 0
3 years ago
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