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3 years ago

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Maria has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay. *Maria

has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay.

1 answer:

Dvinal [7]3 years ago

3 0

£1.80 increase so about 15%

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Larissa is baking two pies that are the same size: an apple pie for her brothers and a pumpkin

expeople1 [14]

Answer:

All the statements are correct.

Step-by-step explanation:

Larissa is baking two pies that are the same size:

an apple pie for her brothers and a pumpkin pie for her sisters.

Larissa cuts the apple pie into eights and serves the five slices for her brothers.

This means she divided the apple pie into 1/8, so 5 for a brothers = 5(1/8) = 5/8

The amount of apple pie left is = 1 - 5/8

= 3/8

Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters.

She divided the pumpkin pie into 1/6

Serving her 3 sisters = 3(1/6)

= 3/6

The amount left = 1 - 3/6 = 3/6 = 1/2

This means, her sisters are 1/2 of the pie and 1/2 is left

Her brothers and sisters eat all of the pie they are served, and nothing more.

Verifying the given options

a) There will be enough space to fit the leftover slices of pie together in one of the pie pans

Yes, this is correct it we put the left over slices of pie in the pumpkin pie pan.

Option a is correct.

b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the slices are served.

Option b) is true

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 is greater than > 3/8

c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining.

Larissa served, 5/8 of the apple pie,

3/8 is left , 3/8 = 0.375.

Option c is correct.

d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty

Yes, if the left over pies are put in the pumpkin pie pan.

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 + 3/8

= 4+3/8 = 7/8

1 - 7/8 = 1/8

Option d is correct

Therefore, all the 4 statements are correct.

5 0

3 years ago

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, the chance a homeowner is ins

ollegr [7]

Answer:

P(X = 0) = 0.1897

P(X = 1) = 0.3910

P(X = 2) = 0.3021

P(X = 3) = 0.1038

P(X = 4) = 0.0134

Step-by-step explanation:

For each owner, there are only two possible outcomes. Either they are insured against an earthquake, or they are not. The probability of a homeowner being insured against an earthquake is independent of other homeowners. So the binomial probability distribution is used 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.

Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.34.

This means that $p = 0.34$

A sample of four homeowners are to be selected at random.

This means that $n = 4$

(a) Find the probability mass function of X. (Round your answers to four decimal places.)

The pmf is the probability of each outcome.

So

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

$P(X = 0) = C_{4,0}.(0.34)^{0}.(0.66)^{4} = 0.1897$

$P(X = 1) = C_{4,1}.(0.34)^{1}.(0.66)^{3} = 0.3910$

$P(X = 2) = C_{4,2}.(0.34)^{2}.(0.66)^{2} = 0.3021$

$P(X = 3) = C_{4,3}.(0.34)^{3}.(0.66)^{1} = 0.1038$

$P(X = 4) = C_{4,4}.(0.34)^{4}.(0.66)^{0} = 0.0134$

8 0

3 years ago

Read 2 more answers

When a number increases by 10 % it become 22, Find the number.

topjm [15]

It should be 20, 20x10% -> 22

8 0

1 year ago

Reduce to Standard form : (a) -21/91 (b) 32/(-256)

sweet [91]

Answer:

a) -3/13

b) -1/8

Step-by-step explanation:

a) - (21 / 7) / (91 / 7) = 3/13

b) (32 / 32 ) / - (256 / 32) = -1/8

5 0

3 years ago

3.25, 3.0, 2.75, 2.5, 2.25, ...

Morgarella [4.7K]

3.25 - 3 = 0.25
3 - 2.75 = 0.25
2.75 - 2.5 = 0.25
2.5 - 2.25 = 0.25

Since we subtracted those numbers, it means we are decreasing.
Therefore, the answer is decrease by 0.25.

6 0

3 years ago

Read 2 more answers