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maxonik [38]
2 years ago
14

Determine the sum of the given probabilities. Are the events complementary?

Mathematics
1 answer:
Paraphin [41]2 years ago
3 0

5/7 The events are not complementary

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
What is 1 and 1/10 of 19 gallons?
Alex73 [517]
1.9 is the answer. But I could be wrong though.
3 0
2 years ago
celine mixes raisins and peanuts to make a snack. she uses 0.75 cup raisins for every 0.5 cup peanuts. write a proportion and us
PtichkaEL [24]

Answer:

6.375 cups of raisins

Step-by-step explanation:

The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.

So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:

(4.25 ÷ 2) × 3 = 6.375

4 0
3 years ago
Read 2 more answers
3x-7y=14
Mademuasel [1]

Answer:

A. \frac{3}{7}

Step-by-step explanation:

The given equation is

3x-7y=14

We solve for y by  subtracting 3x from both sides to obtain;

-7y=14-3x

We now divide through by -7 to get;

y=\frac{-3}{-7}x+\frac{14}{-7}

This simplifies to;

y=\frac{3}{7}x-2

This equation is now in the form y=mx +c, where m=\frac{3}{7} is the slope.

4 0
3 years ago
△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!)<br><br> refer to attachment
zmey [24]

the answer is

x= 5/3

BTW thx for brainliest

5 0
2 years ago
Read 2 more answers
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