Answer:
y = 8
Step-by-step explanation:
First substitute x with 6 in the equation
2y + 1/3(6) = 18
Multiple 1/3 with 6, which is 2
2y + 2 = 18
Solve the equation by subtracting 2 from both sides
2y + 2 = 18
- 2 - 2
You get 2y = 16, so you divide 2 frm both sides
You get y = 8
To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5
get the square root
r=√33
Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>
Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this:
Answer:b
Step-by-step explanation:
Answer:b=2.5555555555...
Step-by-step explanation:9b= -23, 9b/9=b, -23/9=2.55555..., b=2.55555...
