Answer:
a) P=0.0225
b) P=0.057375
Step-by-step explanation:
From exercise we have that 15% of items produced are defective, we conclude that probabiity:
P=15/100
P=0.15
a) We calculate the probabiity that two items are defective:
P= 0.15 · 0.15
P=0.0225
b) We calculate the probabiity that two of three items are defective:
P={3}_C_{2} · 0.85 · 0.15 · 0.15
P=\frac{3!}{2!(3-2)!} · 0.019125
P=3 · 0.019125
P=0.057375
<h3>
Answer: Choice B</h3>
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Explanation:
The rule we use is
![\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m](https://tex.z-dn.net/?f=%5CLarge%20a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Ba%7D%5Cright%29%5Em)
where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).
So for instance,
![\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3](https://tex.z-dn.net/?f=%5CLarge%202%5E%7B3%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B2%5E3%7D%20%3D%20%5Cleft%28%5Csqrt%5B4%5D%7B2%7D%5Cright%29%5E3)
or in this case,
![\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5](https://tex.z-dn.net/?f=%5CLarge%20t%5E%7B5%2F8%7D%20%3D%20%5Csqrt%5B8%5D%7Bt%5E5%7D%20%3D%20%5Cleft%28%5Csqrt%5B8%5D%7Bt%7D%5Cright%29%5E5)
Where is the point t in question
She swims 12 laps on Monday.
Step-by-step explanation:
Total laps = 51 laps
Laps on Saturday = 15 laps
Let,
x be the number of laps on Monday, Wednesday and Friday each.
According to given statement;
Monday+Wednesday+Friday+Saturday = 51

Dividing both sides by 3

She swims 12 laps on Monday.
Keywords: addition, division
Learn more about division at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
d + q = 94.....d = 94 - q
0.10d + 0.25q = 19.30
0.10(94 - q) + 0.25q = 19.30
9.4 - 0.10q + 0.25q = 19.30
-0.10q + 0.25q = 19.30 - 9.40
0.15q = 9.90
q = 9.90/0.15
q = 66 <===== there are 66 quarters
d + q = 94
d + 66 = 94
d = 94 - 66
d = 28 <==== there are 28 dimes