Answer:
-130.8
Step-by-step explanation:
The average of the two slope values is ...
(-148.8 -112.8)/2 = -261.6/2 = -130.8
The slope of the tangent line at t=15 is approximately -130.8.
8 hours = 8*60 min = 480 min.
T<span>here are 4,000 egg rolls per 480 minutes </span>
Bettie's claim is not reasonable.
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)
Zeros are the x values which make the function equal to zero. Set it up as you would for a binomial with a constant multiplier "k" to account for the y-intercept (0, -5) given.
f(x) = k(x-2)(x-3)(x-5)
Use the y-intercept (0,-5) to solve for k.
-5 = k(0-2)(0-3)(0-5)
-5 = -30k
-5/-30 = k
1/6 = k
The cubic polynomial function is then ..
f(x) = (1/6)(x-2)(x-3)(x-5)
Linear factors are the linear (line) expressions you can factor out of the polynomial. They are (x-2), (x-3) and (x-5).
