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OLEGan [10]
2 years ago
4

Asim is going to cover the path with paving.Each paving stone is a square of side 30 cm.Each paving stone costs £2.50

Mathematics
1 answer:
Gwar [14]2 years ago
8 0

We have been given Asim is going to cover the path with paving. Each paving stone is a square of side 30 cm.

Let us find area covered by each stone.

Since the paving stone is square, so it area would be square of each side length.

\text{Area of paving stone}=(\text{30 cm})^2=900\text{ cm}^2

The dimension of rectangular path are 630 cm and 120 cm.

We know that area of rectangle is width times length, so area of garden would be length times width.

\text{Area of rectangular path}=75600\text{ cm}^2

To find the number of stones, we will divide area of path by area of each stone.

\text{Stone used to cover the path}=\frac{75600\text{ cm}^2}{900\text{ cm}^2}

\text{Stone used to cover the path}=84

Therefore, it will take 84 stones to cover the path.

We have been given that each paving stone costs £2.50, so total cost would be 2.50\times 84=210.

Therefore, it will cost £210.

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Answer: 0.137.

Step-by-step explanation:

Let p be the population proportion of musicians that are left-handed.

Given: Sample size : n= 2690   [subset of population]

Number of musicians that are left-handed: x= 368

Then the sample proportion: \hat{p}=\dfrac{368}{2690}\approx0.137

Since sample proportion is the best point estimate of the population proportion.

Hence, a point estimate for p, the population proportion of musicians that are left-handed is 0.137.

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2 years ago
I NEED HELP PLEASE! Jenny's birthday cake is circular and has a 30 cm radius. Her slice creates an arc of with a central angle o
dybincka [34]
Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third)  is 300pi.
3 0
2 years ago
Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

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2 years ago
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If we let
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Solving for y in the second equation:
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Rearranging the first equation and substituting y
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Therefore, the boat traveled 458.81 ft before it stopped.
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2 years ago
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Margarita [4]

Answer:

AFE = 99°

Step-by-step explanation:

Correct on E2020

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