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3 years ago

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.

1 answer:

7 0

A^2 + b^2 = c^2
C should equal to the longer side, which would be 19. 
Plug in other two numbers for A and B. 
12^2 + 14^2 = 19^2 
Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle. 
144 + 196 = 361 
340 = 361 
It's not a right triangle.

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What is 2878 divided by 55

likoan [24]

Answer:

52.3272727...

the 27 at the end is repeating

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3 years ago

Read 2 more answers

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

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2 years ago

Which value of x makes x-3/4 + 2/3=17/12 true?

Bingel [31]

Answer:

x = 3/2

Step-by-step explanation:

x- 3/4 + 2/3 = 17/12

x = 17/12 + 3/4 -2/3

x = 3/2

7 0

2 years ago

For the following, find f(g(x)) and g(f(x)). f(x) = 3x - 1 G(x) = 2x - 1/ x

Ronch [10]

Step-by-step explanation:

by comparing both f (x) and g (x)

we get

3x-1=2x-1/x

by this way we can get the value of X and put the value of X in f (x) and g (x)

4 0

2 years ago

Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. St

Digiron [165]

Answer:

15c + 25s ≤ 1500

Step-by-step explanation:

Let the number of stools be s

Let the number of chairs bought be c

If each tools cost $15, s stools will cost $15c

If a chairs cost $25, c chairs will cost $25s

Total costs = 15c + 25s

If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500

The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.

Hence the correct equation is 15c + 25s ≤ 1500

4 0

2 years ago