<span>On an indifference curve, all bundles give the same amount of utility. (32,8) gives a utility of
U(32,8)=32x8=256
If (4,y) is on the same indifference curve, then it must give the same utility. Hence,
256 = 4y
y=64
64 bananas</span>
Answer:
b. Identify the variable of interest and state whether it is categorical or quantitative.
Step-by-step explanation:
Answer:
18(p-2)
Step-by-step explanation:
We want to factor 
We know that the greatest common factor is 18.
So we can rewrite to obtain:

We factor the GCF to obtain:

Therefore 
Therefore the equivalent expression to 18p-36 is 18(p-2)
Answer:
<em>H₀</em>: <em>μ</em>₁ = <em>μ</em>₂ vs, <em>Hₐ</em>: <em>μ</em>₁ > <em>μ</em>₂.
Step-by-step explanation:
A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.
It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.
The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:
<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.
<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.
The significance level of the test is:
<em>α</em> = 0.05.
The test is defined as:

The decision rule for the test is:
If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.
10 = ax - 3b
First, add 3b to both sides. / Your problem should look like: 10 + 3b = ax.
Second, divide both sides by a. / Your problem should look like:

= x.
Third, switch sides. / Your problem should look like: x =

which is your answer.