Complete Question:
Heights of 9-Year-Olds At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. A random sample of 9-year-olds yielded these results. Estimate the mean difference in height between boys and girls with 95% confidence. Does your interval support the given claim?
Boys Girls
Sample Size 60 50
Mean Height, cm 123.5 126.2
Population variance 98 120
a.State the hypotheses and identify the claim.
b.Find the critical value(s).
c.Compute the test value.
d.Make the decision.
e.Summarize the results.
Step-by-step explanation:
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Answer:
wait wat ? its 18
Step-by-step explanation:
so plug in the numbers
4 times 2 - -5 times 2
4x2 = 8
-5x2 = -10
8-(-10) = 18
Cosine is the second one the first one is Sine and the last one is tangent
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So

Total outcomes:
10 students froms a set of 50. so

Probability:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Answer:
The dimension of box=
Step-by-step explanation:
We are given that
Volume of box=4 cubic feet
Let x be the side of square base and h be the height of box
Volume of box=


Now, surface area of box,A=








Substitute x=2

Hence, the area of box is minimum at x=2
Therefore, side of square base,x=2 ft
Height of box,h=
Hence, the dimension of box=