Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(
). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
The slope is the change in Y over the change in X:
Slope = (3 -12) / (4-0)
Slope = -9/4
The answer is the 3rd choice.
Answer:
h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
<span>Step 1:
</span>
<span> (((22•5x2) + 25x) - 12x) - 15)))
</span>
<span>The first term is, <span> <span>20x2</span> </span> its coefficient is <span> 20 </span>.
The middle term is, <span> +13x </span> its coefficient is <span> 13 </span>.
The last term, "the constant", is <span> -15
</span></span>
<span>step 2 above, -12 and 25
<span>20x2 - 12x</span> + 25x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (5x-3)
Add up the last 2 terms, pulling out common factors :
5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (5x-3)
Which is the desired factorization</span>Final result :<span> (5x - 3) • (4x + 5)
</span>
