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Alexus [3.1K]
2 years ago
12

Clara opened a bank account. She deposited $95 each month for 10 months. Her bank charged her 2$ each month to use the account.

How much money is in Clara's account after 10 months?
A. $93
B. $75
C. $930
D. $970
Mathematics
1 answer:
ollegr [7]2 years ago
8 0
The answer is C.. because if you do 95x100 you get 950 and then you need to do 2x10 and you get 20, so then you subtract 20 from 950 and you will get $930
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k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

P(A_1\cap A_2)=0

P(B\mid A_1)=0.20

P(B\mid A_2)=0.05

(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

3 0
3 years ago
A cube has a side length of 8 inches.
Kazeer [188]

The answers are 8^{3} and 8 · 8 · 8

Explanation:

The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= s^{3}. According to this, if the side length is 8 inches the volume can be represented as V = 8^{3} or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct:  8^{3} and 8 · 8 · 8.

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3 years ago
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Look here in a square which is what I imagine that drawing is all the angles are 90 degrees. A rectangle would be knowing two angles is know all of them one way or another so fix your work and you should know the answer

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2 years ago
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72 m^2 (72 meters squared)
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Elina [12.6K]
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FINAL ANSWER:

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