Answer:
The tank is a cone, so the radius of the cross section increases linearly with h
At y=0, r=4 and at y=11, r=0
So
r(y)=4/11 (11−y)
A(y)=π[4(11−y)11]^2
Integral will be:
11∫0 (1000)(9.8)(4πy^2)(25)(11−y)dy
Step-by-step explanation:
Answer:

Step-by-step explanation:
The coordinates of A = (2,9)
The coordinates of B = (7,4)
Let M (x,y) be the mid point of A and B.

So, the coordinates of mid point of A and B is
.
Let M be the amount she earns and H the hours worked;
M

M=aH
Where a is a constant of proportionality;
Given that M=41.25 and H=5
41.25=5a
a=

a=8.25
The equation then is;
M=8.25H
When she works 8 hours;
M=8.25*8
=66 dollars
Answer:
Step-by-step explanation:
given that the following data represent the discrete probability distribution for the number of stars that reviewers have a first edition statistics reference book.
Stars 5 4 3 2 1
Probability 25% 35% 20% 10% 10%
H0: Second edition is as per the above probabilities
Ha: atleast one is different from the above probability
(two tailed chi square test)
Alpha = 0.025
Assuming H0 to be true we calculate expected frequencies for total 80
chi square calculatons are shown below
df = 4
5 4 3 2 1 Total
Observed 28 28 13 6 5 80
Expected 20 28 16 8 8 80
chi square
(O_E)^2/E 3.2 0 0.5625 0.5 1.125 5.3875
p value =0.1455
Since p value >0.025, we accept H0
The expected requency of three-star reviews is ________.16
Answer:
A. add -15 and 9
Step-by-step explanation:
We follow the PEMDAS rule as the order of operations to evaluate expressions.
P-Parenthesis
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
Given expression : 
In order to evaluate the expression, the first step would be to do the parenthesis operations which requires to add -15 and 9.