which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a pho
2 answers:
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Answer:
The null and alternative hypotheses are:
Under the null hypothesis, the test statistic is:
Now, we have to find the right tailed z critical value at 0.10 significance level. Using the standard normal table, we have:
Since the test statistic is greater than the z critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the university students weigh more than the population.
Answer:
(a) The value of is (z+1)(3-z).
(b) The next term in the sequence is -2.
Step-by-step explanation:
(a)
It is given that arithmetic sequence that starts with an initial index of 0.
The initial term is 3 and the common difference is -2.
We need to find the value of .
where, a is initial term and d is common difference.
The sum of an arithmetic sequence with initial index 0 is
where, a is initial term and d is common difference.
Substitute n=z, a=3 and d=-2 in the above formula.
Therefore the value of is (z+1)(3-z).
(b)
The given arithmetic sequence is
7, 4, 1, ...
We need to find the term in the sequence.
In the given arithmetic sequence the first term is
The common difference of the sequence is
The first term is 7 and common difference is -3.
Add common difference in last given term, i.e., 1, to find the next term of the sequence.
Therefore the next term in the sequence is -2.
Call the point of intersection of the diagonals point X.
Each base is the hypotenuse of an isosceles right triangle whose sides are the diagonals and whose 90° angle is at X. The altitude of that triangle (⊥ distance to the base from X) is half the length of the hypotenuse. Then the height of the trapezoid is half the sum of the base lengths.
The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.
... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²
