Answer: please mark brainlyest
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given a polynomial f(x) with roots say x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the roots, that is
f(x) = (x - a)(x - b)
Here the roots are x = - 4, x = 0 and double root at x = 7
Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x
Given a double root at x = 7 the factor is (x - 7)², thus polynomial is
y = x(x + 4)(x - 7)² → D
In this form, slope is simply the coefficient in front of <em>x.</em> Therefore, the slope of this graph is -1/4
Answer:
1320
Step-by-step explanation:
This can be solved using something called a permutation. There are 12 possible swimmers that can be in first place. After that, there are 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiplying these together, you get 12*11*10=1320 ways. Hope this helps!
Answer:
The degrees of freedom are given by:
And the p value would be given by:
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is higher than 24.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
And the p value would be given by:
