Answer:
A) it converges
B) 1998.047
C) 2000
d) The sum is getting smaller and smaller
Step-by-step explanation:
Formula: a_n+a_1*r^(r-1)
(1000*((0.5^10)-1))/(0.5-1)=1998.047
(1000*((0.5^30)-1))/(0.5-1)=2000
#6
D. 3.0 x 10^8
#7
A. y = 3.5x + 7
#8
B. 5
18-4.25=13.75$ she has. 13.75-9.75=4$ she can spend. 4$/0.50=8 packages she can buy
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:
x = 17
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + x^2 = (sqrt(514))^2
225 + x^2 = 514
Subtract 225 from each side
225-225 + x^2 = 514-225
x^2 =289
Take the square root of each side
sqrt(x^2) = sqrt(289)
x = 17
