Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
where t is the time in seconds.
After 3 seconds, t = 3:
The height of the ball after 3 seconds is 9 feet.
IN A CLASS OF 100 57 STUDENTS RECEIVED A GRADE A WHAT FRACTION DID NOT RECEIVE AN A
2 answers:
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Answer:
There is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.
Step-by-step explanation:
Here we have our null hypothesis as H₀: σ² = s²
Our alternative hypothesis is then Hₐ: σ² ≠ s²
We therefore have a two tailed test
To test the hypothesis of difference in standard deviation which is the Chi squared test given as follows
Where:
n = Size of sample
s² = Variance of sample = 950²
σ² = Variance of population = 650²
Degrees of freedom = n - 1 = 71 - 1 = 70
α = Significance level = 0.1
Therefore, we use 1 - 0.1 = 0.9
From the Chi-square table, we have the critical value as
1 - α/2 = 51.739,
α/2 = 90.531
Plugging the values in the above Chi squared test equation, we have;
Therefore, since the test value within the critical region, we do not reject the null hypothesis, hence there is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.
The limit of the expression as x approaches -3 is -24
<h3>How to determine the limit of the expression?</h3>The expression is given as:
As x approaches -3.
The limit expression becomes
Substitute -3 for x in the expression
Evaluate the expression
Hence, the limit of the expression as x approaches -3 is -24
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