<h2 /><h2>Answer:-</h2>
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1 answer:
Answer:
p(x) = 5(x + 3)² - 45
Step-by-step explanation:
Sandra wrote the function as p(x) = 30x + 5x².
So, this is a formula of a parabola, and this we have to convert into vertex form.
Now, rearranging the function we get
p(x) = 5(x² + 6x)
⇒ p(x) = 5(x² + 6x + 9) - 45
⇒ p(x) = 5(x + 3)² - 45
So, this is the vertex form and the vertex of the parabola is (-3,-45).
We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by
(x - m)² = 4a(y - n)
⇒ (Answer)
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Answer: 0.0328
Step-by-step explanation:
Standard error is the standard deviation of the sampling distribution.
The formula to find the standard error is given by :-
,where n= sample size.
= Sample proportion.
Given : Of the 2266 high school students surveyed, 952 admitted to smoking marijuana at least once.
A study done 10 years earlier estimated that 45% of the students had tried marijuana.
i.e. Population proportion : p= 0.45
Sample size : n= 226
Sample proportion :
Then , the standard error for this test will be :-
Hence, the standard error for this test= 0.0328
Answer:
P-value = 0.009997
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 24
Nature of test: One-tailed test(Left tailed test)
We have to calculate the p-value.
Degree of freedom = n - 1 = 23
We calculate the p-value from the table corresponding to t score -2.50 and degree of freedom 23.
P-value = 0.009997
0.009997 is the probability of a value being to the left of a number that has a student-t statistic of –2.50.