Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
R=4x+3
H=3x+6
Volume of a cylinder= Πr²h
inserting the parameters
v=π(4x+3)²(3x+6)
v=π(16x²+24x+9)(3x+6)
V=π[3x(16x²+24x+9) +6(16x²+24x+9)]
v=Π(48x³+72x²+27x+96x²+144x+54)
v=π(48x³+168x²+171x+54)m³
<u>Answer:</u>
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
<u>Explanation</u>:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter
Answer:
Both calculated the slope as 1/3
Step-by-step explanation:
Avis:
Rise = 4
Run = 12
Rise goes over the run: 4/12
4/12 simplifies into 1/3
Alec:
Rise= 2
Run= 6
Rise goes over the run: 2/6
2/6 simplifies into 1/3
Answer:
a)
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:

Part b
The p value would be given by this probability:

Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance