Answer:
you<u> accept </u>the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
The sample proportion
The test statistics can be computed as:
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Answer:
<em>PT=30 units</em>
Step-by-step explanation:
Given that:
Line PQ which has a mid point at T.
and
To find:
PT = ? in simplified terms.
Solution:
First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.
In other words:
If a point B is the mid point of line segment AC, then AB = BC.
Here, the point T is the midpoint of PQ.
i.e. PT = TQ
Putting value of in PT above:
Mia gives $80 as tip to the movers.
<em><u>Explanation</u></em>
The moving company charged $500 for its service.
Suppose, the amount of tip is dollar, which is 16% of the total charge.
So, the equation will be.....
So, the amount of tip Mia gives the movers is $80
Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.
<h3>What is the area of the right-angle triangle?</h3>The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.
α₁ = 40°
AO = OC = 7.8 cm
Then the area of the triangle will be
Area = 1/2 x 7.8 x 7.8 x tan40°
Area = 22.53 square cm
More about the area of the right-angle triangle link is given below.
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