Answer:
20 m²
Step-by-step explanation:
<u>Formula (Area of triangle):</u>
<u />
From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.
<u />
Simplify the right-hand-side as needed to evaluate the area.
<u />
<u />
Therefore, the area of the provided triangle is 20 m².
Learn more about this topic: brainly.com/question/15442893
The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:

We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
#SPJ1
Answer:

Step-by-step explanation:


given D : (7,-3), and D' : (2,5)
the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).
you can simply take the difference in the x values and difference in the y values from the preimage to image.
like this:
f'(x,y) → f(x+(x-x1),y+(y-y1)) : 
D'(x,y) → D(x+(2-7),y+(5--3))
D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : 
Answer:
A = $ 50,978.44
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 45,000.00(1 + 0.004166667/12)(12)(2.5)
A = $ 50,978.44