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True [87]
3 years ago
8

What is the value of the function at x = 2?

Mathematics
1 answer:
Mariana [72]3 years ago
3 0
I think the answer would be (-3,2)
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On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 2, negative 2) and then
telo118 [61]

Answer:

x=-6

x=-4

x=-2

x=4

Step-by-step explanation:

just did the test on e2020 and this was the answer!

4 0
3 years ago
A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?
dimulka [17.4K]

Answer:

C

Step-by-step explanation:

From the given coordinates

A(6, 0), B(0, 0) then AB = 6 - 0 = 6

B(0, 0), C(0, 8) then BC = 8 - 0 = 8

To calculate AC use Pythagoras' theorem on the right triangle formed

AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100

Take the square root of both sides, hence

AC = \sqrt{100} = 10

Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C

5 0
3 years ago
The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar busi
eimsori [14]

Answer:

t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts  and data given  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=4.2 represent the sample mean  

s=1.4 represent the sample standard deviation  

n=16 represent the sample selected  

\alpha=0.05 significance level  

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is different from 3.6, the system of hypothesis would be:    

Null hypothesis:\mu = 3.6    

Alternative hypothesis:\mu \neq 3.6    

If we analyze the size for the sample is < 30 and we know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic  

We can replace in formula (1) the info given like this:    

t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Critical values

On this case since we have a bilateral test we need to critical values. We need to use the t distribution with df=n-1=16-1=15 degrees of freedom. The value for \alpha=0.05 and \alpha/2=0.025 so we need to find on the t distribution with 15 degrees of freedom two values that accumulates 0.025 of the ara on each tail. We can use the following excel codes:

"=T.INV(0.025,15)" "=T.INV(1-0.025,15)"

And we got t_{crit}=\pm 2.131    

So the decision on this case would be:

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

Conclusion    

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

3 0
3 years ago
The width of a rectangle is 3 inches less than half of the length. The length is 27 inches. What is the area of
dalvyx [7]

Answer:

10.5

Step-by-step explanation:

27 / 2 = 13.5, 13.5 - 3 = 10.5

5 0
3 years ago
Read 2 more answers
Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What
NikAS [45]

Answer:

<em>Charlie owns 9,315 ft2 of the land area</em>

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

4 0
3 years ago
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