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3 years ago

No estimating in this question.

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Driving 350 miles requires

(350 mi) / (10.4 mi/L) ≈ 33.65 L

of petrol.

This amount of petrol would cost

(33.65 L) × (£1.29/L) ≈ £43.41

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Hey could someone helpp me pls

Minchanka [31]

Answer: $5.54

Step-by-step explanation: 63 divided by 100 is 0.63, 0.63 x 8.8 is 5.544 and 5.544 rounded to the nearest cent is $5.54

5 0

3 years ago

A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h

julsineya [31]

Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

c. $S(x)=0.5196$

d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

For binomial distribution:

$E(x)=np\\S(x)=\sqrt{np(1-p)}$

Therefore, the company can expect to win 0.3 bids and it is calculated as:

$E(x) = np = 3*0.1 = 0.3$

Additionally, the standard deviation of the number of bids won is:

$S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196$

Finally, the probability to won 1, 2 or 3 bids is equal to:

$P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001$

So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

5 0

3 years ago

Find A, given that a = 18.2, B=62°, and C= 48°. Round to the nearest whole degree.

fomenos

Answer:

Step-by-step explanation:

If we are given angles B and C, then all we have to do is add them together and then subtract that from 180 since all the angles of a triangle have to add up to equal 180.

62 + 48 = 110

180 - 110 = 70

Angle A = 70°

5 0

3 years ago

What is the correct placement of the value -3

sdas [7]

It is thousandths because it t is 3 plac s the the left

5 0

3 years ago

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

BlackZzzverrR [31]

Answer:

No one will be able to tell you without the picture. If it is face the same direction, it is a translation. If it is a mirror image, it is a reflection. 90 degree rotation means it was turned once. 180 degree rotation means it was turned twice and should be in the diagonal quadrant the pre-image started in.

Step-by-step explanation:

4 0

3 years ago

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