Answer:
And the confidence interval for the difference is between:
Step-by-step explanation:
We have the following info given:
sample mean for medium Pizzas from Prim's
sample mean for medium Pizzas from Pizza Place
sample deviation for Prim's
sample deviation for Pizza Palca
sample size selected for each case
The confidence interval for the difference of means is given by:
And for the 95% confidence we need a significance level of 
and 
, the degrees of freedom are given by:
And the critical value would be
And replacing we got:
And the confidence interval for the difference is between:
The answer is A. 4(n 3) - 6n
First month she payed 1451 dollars
Second month she payed 1/3 of that, which is:
1451/3 = 483.66
Third month she payed 1/3 of 483.66 because as text says, every next month she pays 1/3 of previous month payed amount.
483.66/3 = 161.22
Forth month she payed
161.22/3 = 53.74
In total she payed:
$2149.62 - B.
hope this helps :)
Given:
Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.
Pyramid B: Base is square with 10 meter sides.
Heights are the same.
Volume of rectangular pyramid = (L * W * H) / 3
Volume of square pyramid = a² * h/3
Let us assume that the height is 10 meters.
V of rectangular pyramid = (10m * 20m * 10m)/3 = 2000/3 = 666.67 m³
V of square pyramid = (10m)² * 10/3 = 100m² * 3.33 = 333.33 m³
The volume of pyramid A is TWICE the volume of pyramid B.
If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),
V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³
The new volume of pyramid B is EQUAL to the volume of pyramid A.
The answer is
<span>a) 1000=-16t^2+1700, implies t² = -700 /-16, and t= 6.61s
b) </span><span>970= -16t^2+1700, </span><span>implies t² = -730 /-16, and t=6.75s
c)
reasonable domain of h
h is polynomial function, so its domain is R, (all real number)
its range
the inverse of h is h^-1 = sqrt (1700- t / 16), and its domain is </span>
<span><span><span>1700- t / 16>=0, so t <1700,
the range of h is I= ]-infinity, 1700]</span> </span> </span>
