Answer:
The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)
Step-by-step explanation:
Confidence intervals are usually constructed using the formula;
point estimate ± margin of error
In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.
Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;
margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means
The z-score associated with a 95% confidence interval is 1.96
The standard deviation of the difference of the sample means is given as 10
The 95% confidence interval for the difference of the two populations means is thus;
22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)
Answer:
1/8^4
Step-by-step explanation:
when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4
Answer:
y = -2x + 14
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = -2x + b
We are given a point (x, y) of (5, 4), so plug that in and solve for b.
4 = -2(5) + b
4 = -10 + b (simplify)
14 = b (add 10 to both sides to isolate b)
So the equation of our line is y = -2x + 14
hello :
<span>–3(x + 3)² – 3 + 3x = -3( x² +6x+9) -3 +3x
=-3x² -18x -27 -3 +3x
= -3x² - 15x -30.. ( </span><span>standard form)</span>
Answer:
497.6 cm to 1 decimal place.
Step-by-step explanation:
→ Square root the area to find the length
√15476 = 124.4025723
→ Multiply the answer by 4 to get the perimeter
124.4025723 × 4 = 497.6102893
