Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).
1 answer:
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Answer:
Yes, there enough evidence to reject the claim.
Step-by-step explanation:
Here we need to perform a test for single mean to determine whether the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.
The hypothesis is:
<em>H₀</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.
<em>Hₐ</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.
The information provided is:
The test statistic is:
The test statistic value is -2.24.
Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:
Use the <em>z</em>-table.
The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.
<u>Conclusion</u>:
As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.
The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.
Answer:
The length of the segment AB is 18.8 cm or 1.88 dm
Step-by-step explanation:
<u><em>The question in English is</em></u>
Points A, B and C are collinear in this order. Find the length of the segment: a) AB, if AC = 20 cm, BC = 0.12 dm
we have that
----> by Addition segment postulate
substitute the given values in centimeters
Remember that
so
solve for AB
Convert to dm
therefore
The length of the segment AB is 18.8 cm or 1.88 dm