Solution:
we are given that
In the image, shape ABCD is similar to shape WXYZ.
we have been asked to find the measure of side ZW.
As we know that when two shapes are similar then the ratios of their corresponding sides are equal.
So we can write
Hence ZW=4.5 Inches.
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
Step-by-step explanation:
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Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
