Round each decimal to the nearest tenth 1.93
1 answer:
You might be interested in
Using the t-distribution, it is found that the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the mean of a given population is equal to 85, that is:
We have a left-tailed test, hence, at the alternative hypothesis, it is tested if the mean of the population is less than 85, that is:
The test statistic is of t = -3.018.
Using a t-distribution calculator, with test statistic t = -3.018, 13 - 1 = 12 df and a significance level of 0.01, it is found that the p-value for a left-tailed test is of 0.0051.
The p-value is <u>less than 0.01</u>, hence the null hypothesis is rejected and the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
More can be learned about the t-distribution at brainly.com/question/16313918
The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent
<h3>Part A: Calculate ∠BAE</h3>The angle BAE is a vertex angle, and it is calculated using:
BAE = 180 * (n - 2)/n
Where n= 5; i.e. the number of sides.
This gives:
BAE = 180 * (5 - 2)/5
Evaluate
BAE = 108°
Hence, the measure of angle BAE is 108°
<h3>Part B: The name of the quadrilateral ABCD</h3>When the vertices A and B are joined together, the shape becomes a trapezoid.
Hence, the name of the quadrilateral ABCD is a trapezoid.
<h3>Part C (i) Calculate ∠EDX</h3>See attachment for the new figure.
From the attached figure, we have:
∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line
Where:
∠EDC = ∠BAE = 108°
So, we have:
∠EDX + 108° = 180°
Subtract 108° from both sides
∠EDX = 72°
Hence, the measure of angle EDX is 72 degrees
<h3>Part C (ii) What type of quadrilateral is BDXE?</h3>The quadrilateral BDXE is a parallelogram.
This is so because the opposite sides of BDXE are parallel, but not congruent
Read more about quadrilaterals at:
#SPJ1
