A9x) = x^2 - 6x + 9 = (x - 3)^2
length of a side = x - 3
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.
Given that:
f(s)=2s+25
s(w)=25w
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
f(s)=2s+25
Replace s with s(w)
f(s(w))=2(s(w))+25
Substitute (w)=25w
f(s(w))=2(25w)+25
f(s(w))=50w+25
Hence:
f(w)=50w+25
The units of the measurement of f(w) are flowers
The number of flowers for 30 weeks means:
w=30
So, we have:
f(w)=50w+25
f(30)=50 * 30+25
f(30)=1525
Hence, the number of flowers for 30 weeks is 1525
Learn more about composite functions here:brainly.com/question/10687170
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Answer:
The P-value is 0.0166.
Step-by-step explanation:
<u>The complete question is:</u> In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z
2.13)
= 1 - 0.9834 = <u>0.0166</u>
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
- If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
- If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.
Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
Answer:
C. -5
Step-by-step explanation:
If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.
Answer:
A = π(7x + 3)² cm²
Step-by-step explanation:
A = πr² is the appropriate equation. If r = 7x + 3 cm, then the area of this particular circle is:
A = π(7x + 3)² cm²