All categories

3 years ago

Given: AABC is a right triangle.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

19.365

Step-by-step explanation:

The Pythagoreum Theorum tells us that:

a² + b² = c²

where a and b are the legs and c is the hypotenuse.

BC is a leg; we'll lable it a.

AC is the hypotenuse thus labled c.

Plugging their lengths into the above formula will solve for the missing leg length.

5² + x² = 20²

25 + x² = 400

x² = 375

✓x = ✓3 x (5 x 5) x 5

x = 5✓15

x = 19.365

You might be interested in

If f'(x) = 0 at x = -2, 0, and 2

Sedbober [7]

Answer:

12345678754324567876

5 0

2 years ago

Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organizatio

Margarita [4]

Answer:

Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.

It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.

For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.

This average would be the population mean: the average performance of the machines of the same type or process.

Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.

Step-by-step explanation:

For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.

Then, the null and alternative hypothesis are:

$H_0: \mu=100\\\\H_a:\mu< 100$

The significance level is 0.05.

The sample has a size n=14.

The sample mean is M=92.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944$

The degrees of freedom for this sample size are:

$df=n-1=14-1=13$

This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0.0134) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that machine A produces significantly less units per day than the average.

3 0

3 years ago

The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac

Neporo4naja [7]

Answer:

well it's 9/25 or 0.36% or (36%) only

Step-by-step explanation:

So you add all the numbers up it would be 25, divide the numerator by the denominator and get 0.36%, i can't remember if you divide .36 by 100 or not but anyway you get 36%.

But I hope i have helped you in anyway.

5 0

3 years ago

Consider the equation 5 + x = n

Inga [223]

All of the answers will be less than five. for example if x=-3 n=2 which is less than 5

3 0

2 years ago

If y=8 when x =3, find y when x=45

Art [367]

Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

y/45 = 8/3

Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

3y = 45 * 8

From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

3y = 360

y = 120

Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.

5 0

3 years ago

Read 2 more answers