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4 years ago

Need help ASAP please and thank you

Mathematics

1 answer:

Inga [223]4 years ago

6 0

A, it has the correct values in the correct columns and rows which add up to equal what they should

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Mr Leonard wants to top-up his central heating oil tank. The oil tank can take up to 1200 litres of oil. There are already 450 l

garik1379 [7]

Mr. Leonard gets £ 45.84375 as discount

Solution:

The oil tank can take up to 1200 liters of oil

There are already 450 liters of oil in the tank

The remaining oil which is to be added is given by :

Remaining oil = 1200 - 450 = 750 liters

The price of oil is 81.5 p per liter

Then calculate the total price of 750 L of oil:

$Total\ Price = 750 \times 81.5 = 61125$

Thus total price is 61125 p

Mr Leonard gets a 7.5% discount on the price of the oil

Therefore,

Discount amount = 7.5 % of 61125

$Discount\ amount = 7.5 \% \times 61125\\\\Discount\ amount = \frac{7.5}{100} \times 61125\\\\Discount\ amount = 0.075 \times 61125\\\\Discount\ amount = 4584.375$

Thus he gets 4584.375 p

We convert p to £

1 p = 0.01£

4584.375 x 0.01 = £ 45.84375

Thus he gets £ 45.84375 as discount

7 0

3 years ago

Bab in need of help!

katrin [286]

Answer:

Third option is the correct answer

Step-by-step explanation:

Given end points are: $(x_1, \:y_1) \:\&\: (x_2, \:y_2)$

$\huge\purple {\therefore Midpoint =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)}$

3 0

3 years ago

Find the measure of midsegment EF.

lukranit [14]

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

5 0

2 years ago

Read 2 more answers

30% of what number is 6

Hitman42 [59]

Answer:

Step-by-step explanation:

6/0.3=20

6 0

3 years ago

Read 2 more answers

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that $p = 0.53$

9 of those survey subjects are randomly selected

This means that $n = 9$

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348$

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0

3 years ago