The area of the triangle can be calculated through the equation,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is area, s is the semiperimeter ((a + b + c)/2), a, b, and c are the sides given above.
The presented equation above is the Heron's formula.
Substituting the known values,
s = (8.7 + 10.1 + 9.8) / 2
s = 14.3
A = sqrt ((14.3)(14.3 - 8.7)(14.3 - 10.1)(14.3 - 9.8))
<em>A = 38.9 units squared
</em>Thus, the answer to this item is not among the choices. <em>
</em>
1 yard=3 feet so 100 yard=300 feet
Answer:
Step-by-step explanation:
The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.
This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.
__
Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)
Answer:
8
Step-by-step explanation:
Answer:
We can assume that the statistic is 
So the p value obtained was a very high value and using the significance level given 
we have 
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Step-by-step explanation:
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion 
is significantly different from a hypothesized value 
.
Calculate the statistic
We can assume that the statistic is
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
So the p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
