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Alenkasestr [34]
2 years ago
6

5 % of 170 is what number?​

Mathematics
2 answers:
umka21 [38]2 years ago
7 0

Answer:

Step-by-step explanation:

5% of 170=0.05 \times 170=8.5

Darina [25.2K]2 years ago
4 0

Answer: 3400

Step-by-step explanation:

We have, 5% × x = 170

or,  

5

100

× x = 170

Multiplying both sides by 100 and dividing both sides by 5,

we have x = 170 ×  

100

5

x = 3400

If you are using a calculator, simply enter 170×100÷5, which will give you the answer.

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The prior probabilities for events A1 and A2 are P(A1) = 0.35 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(
forsale [732]

Answer:

Step-by-step explanation:

Hello!

Given the probabilities:

P(A₁)= 0.35

P(A₂)= 0.50

P(A₁∩A₂)= 0

P(BIA₁)= 0.20

P(BIA₂)= 0.05

a)

Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)

Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.

b)

Considering that P(BIA)= \frac{P(AnB)}{P(A)} you can clear the intersection from the formula P(AnB)= P(B/A)*P(A) and apply it for the given events:

P(A_1nB)= P(B/A_1) * P(A_1)= 0.20*0.35= 0.07

P(A_2nB)= P(B/A_2)*P(A_2)= 0.05*0.50= 0.025

c)

The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:

P(B)= (A₁∩B) + P(A₂∩B)=  0.07 + 0.025= 0.095

d)

The Bayes' theorem states that:

P(Ai/B)= \frac{P(B/Ai)*P(A)}{P(B)}

Then:

P(A_1/B)= \frac{P(B/A_1)*P(A_1)}{P(B)}= \frac{0.20*0.35}{0.095}= 0.737 = 0.74

P(A_2/B)= \frac{P(B/A_2)*P(A_2)}{P(B)} = \frac{0.05*0.50}{0.095} = 0.26

I hope it helps!

5 0
2 years ago
Which statement describes the expression of 16 + 1/2 * 8 - 6
HACTEHA [7]
16 added to the product of 1/2 times 8, and then subtracted by 6.

16+4-6=20-6=14
4 0
3 years ago
A robot is expected to filter pollution out of at least 350 liters of air and water. It filters air at the rate of 50 liters per
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Answer:

20W+50A\geq 350

Step-by-step explanation:

we are given that A robot is expected to filter pollution out of at least 350 liters of air and water.

Also It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute.

The inequality for  number of minutes the robot should filter air (A) and water (W) to meet this expectations can be writte as follows:

20W+50A\geq 350

Hence the required inequality has been formulated.

4 0
2 years ago
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What is the slope of the line?<br>​
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Answer:

2

Step-by-step explanation:

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2 years ago
Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that
vitfil [10]

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

\frac{\left(x+4\right)}{2}=4.25

x+4=4.25*2

x+4=8.5

x=8.5-4

x=4.5

Hence amount of Alana's donation is $4.5.

6 0
3 years ago
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