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2 years ago

Can someone explain it to me please

Mathematics

2 answers:

Pepsi [2]2 years ago

7 0

Answer:

4) 23.3

5.1) 22.2

5.2) 0.045

Step-by-step explanation:

4) minutes per worksheet = minutes/ worksheets

2 hours and 20 minutes = 120 minutes and 20 minutes = 140 minutes.

6 worksheets in total so:

140/6= 23.333.. (23.3 bar)

5) same thing

total km per total liter = total km divided by total liter= km/l

200/9= 22.22.. ( 22.2 bar)

5.2) same thing but opposite

total liter of total km= l/km = 9/200 = 0.045

Ksenya-84 [330]2 years ago

4 0

Answer:

Given Below

Step-by-step explanation:

Johan completes 6 worksheets in 2 hours and 20 minutes.

6 worksheets ---> 2 hrs 20 minutes

6 worksheets ---> 140 minutes

1 worksheets ----> 140/6 minutes

1 worksheets ----> 23.33 minutes

He finishes 1 worksheet in 23.33 minutes

------------------------------------------------------------------------------------------

5.1

9 litres covers 200 km

1 litres covers (200/9) km

rate: $\frac{200}{9}$ l/km or $22\frac{2}{9}$ km/l

5.2

200 km covered by 9 litres

1 km covered by (9/200) litres

rate: $\frac{9}{200}$ l/km

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Find the balance at the end of 4 years if $10,000 is deposited at a rate of 1.5% simple interest.

Minchanka [31]

Answer:

Principal amount (P) = $10,000

Rate (R) = 1.5%

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3 0

3 years ago

Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo

natita [175]

Answer:

There is a 12.13% probability that the person actually does have cancer.

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

What is the probability that the person has cancer, given that she was diagnosticated?

P(B) is the probability of the person having cancer, so $P(B) = 0.009$

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So $P(A/B) = 0.91$

P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

$P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765$