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3 years ago

Given ΔADC and ΔAEB, What is AE?

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the

2. is common to both the triangles.

3. Two angles are common, so the third angle is also equal to .

All the three angles in the are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = units

Side AD = AE + ED

So, AD =

Using the ratio:

So, AE = 43.2 units

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The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50

Natali5045456 [20]

Answer:

(a) See Explanation

(b) $\bar x =50$ and $\sigma_x = 0.8944$

(d) $P(\bar x > 55) = 0$

Step-by-step explanation:

Given

$\mu = \$50$ -- mean

$\sigma = \$20$ --- standard deviation

$n=500$ --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

$\bar x =\mu$

$\bar x =50$

The sample standard deviation is calculated as thus:

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{20}{\sqrt{500}}$

$\sigma_x = \frac{20}{22.36}$

$\sigma_x = 0.8944$

Solving (c): The shape of the distribution.

We have:

$n = 500$ --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

<em>Hence, the shape is normal</em>

Solving (d): $P(\bar x \ge 55)$

Calculate the test statistic (t)

$t = \frac{\bar x - \mu}{\sigma}$

$t = \frac{55 - 50}{0.8945}$

$t = \frac{5}{0.8945}$

$t = 5.590$

So:

$P(\bar x > 55) = P(t > 5.590)$

Referencing the z table, we have:

$P(t > 5.590) = 0$

Hence:

$P(\bar x > 55) = 0$

5 0

3 years ago

Annika pays 2/25 of her weekly income into a retirement fund. If she pays £42 into the retirement fund, what is her weekly incom

skad [1K]

Answer:

Below.

Step-by-step explanation:

Let x be the Annika's weekly income.

2/25 of x = 42

2x/25 = 42

x = 42(25/2)

x = 525

Her weekly income is $525.

6 0

3 years ago

How do you find the other side lengths of a right triangle when only given the value of one of the sides?

Charra [1.4K]

Subtract the one value from 180 and then divide that number by 2 to get the 2 values. So if one side is 90, they other sides would be 45 each

5 0

2 years ago

A model is made of car. The car is 5 feet long and the model is 8 inches long. What is the ratio of the length of the car to the

Serggg [28]

Hello,

pretty sure it would be 5:8 or 5 to 8

any way you want to write it is fine, it means the same thing :)

have a good day!

3 0

4 years ago

Read 2 more answers

Find the slope of a line that passes through the given points. Write your answer below.

12345 [234]

Just use the formula:
$slope(m) = \frac{y_2-y_1}{x_2-x_1}$

Then, plug in numbers:
$m = \frac{1-4}{-2-3} = \frac{-3}{-5} = \frac{3}{5}$

And that would be your answer: 3/5 is the slope.

4 0

3 years ago