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3 years ago

A number divided by three list two is at most two .

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

5 0

Is this the original question or?

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On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond

babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0

3 years ago

4x-10=30<br> 2n-7=30 <br> S/3+2=4

emmasim [6.3K]

Answer:

x=10 n=18.5 s=6

Step-by-step explanation:

4x-10=30

Add 10 to both sides

4x-10+10=30+10

4x=40

Divide by 4 on both sides

(4x)/4=40/4

x=10

2n-7=30

Add 7 to both sides

2n-7+7=30+7

2n=37

Divide by 2 on both sides

(2n)/2=37/2

n=18.5

(s/3)+2=4

Subtract 2 from both sides

(s/3)+2-2=4-2

(s/3)=2

Multiply by 3 on both sides

3s/3=2*3

s=6

6 0

4 years ago

Part A

rjkz [21]

Answer:

Step-by-step explanation:

Part A

Solve 4,500 ÷ 90. Enter your answer in the box.

Answer : 50

Part B

Select all the expressions that are equal to 4,500 ÷ 90.

A. 4,500 ÷ 9 tens ✔️

B. 450 ÷ 90 ❌

C. 450 ÷ 9 ❌

D. 4,500 ÷ 9 ❌

E. 4,500 ÷ 90 tens ❌

8 0

3 years ago

Can someone answer this ITS DUE TOMORROW

zaharov [31]

Answer:

a-x

b-/

Step-by-step explanation:

64/4x4=64

625x25/25=625

3 0

3 years ago

Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta

seropon [69]

The amount paid by Heron for the video game is $46.64.

Step-by-step explanation:

Here, the marked price of the video game = $55

The discount percentage on the video game = 20%

Calculating 20% of the $55, we get:

$\frac{20}{100} \times 55 = 11$

So, the discount offered on the video game = $11

Selling Price = Marked Price - Discount

=$55 - $11 = $44

Now, the tax percentage on the video game = 6%

Calculating 6% of the $44, we get:

$\frac{6}{100} \times 44 =2.64$

So, the tax on the video game = $2.64

New Selling Price = Selling Price + Tax

=$44 + $2.64 = $46.64

So, the amount paid by Heron for the video game is $46.64.

3 0

3 years ago