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3 years ago

A square part of side 20 meters has a footpath along the boundary of width 10 meters . Find the area of path

Mathematics

1 answer:

qaws [65]3 years ago

4 0

Answer:

Answer: 84 meters squared. (i.e. 84m^2).

Step-by-step explanation:

Area of the path = total area of path and plot - plot area only

First, let’s find the area of the plot:

20m x 20m = 400m^2

The path is 1m wide and runs all the way around, so, it describes an ‘outer square’ of 22m x 22m (2 x 1m larger because there are 1m of the path on each side).

The area of this ‘outer square’ is equivalent to the ‘total area of path and plot’

22m x 22m = 484m^2

So:

Area of the path = total area of path and plot - plot area only

= 484 - 400 = 84m^2

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Gennadij [26K]

Answer:

A.) f(x) = 45 - 4(x - 1)

Step-by-step explanation:

7 0

3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

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3 years ago

You are running a fuel economy study. One of the cars you find is blue. It can travel 28 2/5 miles on 1 1/4 gallons of gasoline.

Harrizon [31]

Answer:

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80 =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

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3 years ago

Can someone help me out ASAP and possible step by step

OlgaM077 [116]

Answer:

49°

Step-by-step explanation:

The given information that BC=DC tells you triangle BCD is an isosceles triangle and that angle y is one of the two equal base angles. Then ...

y + y + 82 = 180 . . . . . the sum of angle measures is 180 degrees

2y = 98 . . . . subtract 82

y = 49 . . . . . divide by 2

The measure of y is 49°.

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3 years ago

What’s the value of the 8 in 281480100

luda_lava [24]

We want to find the value of the 8 in 281,480,100

Let's find the place value of each of the numbers:

2 - hundred millions

8 - ten millions

1 - millions

4 - hundred thousands

8 - ten thousands

0 - thousands

1 - hundreds

0 - tens

0 - ones

I see there are two 8's so I wouldn't be too sure of which value to find, but just in case, we have the chart made above for place values.

There is one 8 at the ten millions value.

There is one 8 at the ten thousands value.

7 0

3 years ago

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