Answer:
I'd say that a is 6 2/3 units long
Step-by-step explanation:
Answer:
We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to 10%.
Step-by-step explanation:
We want to use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%.
We set up our hypothesis to get:
------->null hypothesis
------>alternate hypothesis
This means that: 
Also, we have that, one restaurant had 36 orders that were not accurate among 324 orders observed.
This implies that: 
The test statistics is given by:

We substitute to obtain:

This simplifies to:

We need to calculate our p-value.
P(z>0.6)=0.2743
Since this is a two tailed test, we multiply the probability by:
The p-value is 2(0.2723)=0.5486
Since the significance level is less than the p-value, we fail to reject the null hypothesis.
We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to 10%.
The answer should be H= 7.9
<u>Scenario 1</u>
It is given that on Albert's favorite shoe website, the prices for a pair of the shoes range from $80 to $180 and the delivery fee is one-twentieth of the price of the basketball shoes.
We know that Albert has $105 to spend on new basketball shoes.
From the above pieces of information we see that the minimum that Albert will have to spend is
dollars.
Now, we know that Albert can spend a maximum of $105 including the delivery fee. Let the upper limit of the price of the shoe Albert can buy be
. So, the upper limit of the domain can be found as:


dollars.
Thus, in the first scenario, the domain of the total cost function, f(c) will be [86.67,96.92].
<u>Scenario 2</u>
After receiving $42 from his friend, Albert's total buying power becomes $147. Albert can now buy a costlier pair of shoes.
Thus, the maximum that Albert can buy is again given by:

Solving this we get:
dollars
The lower limit will remain the same as the lowest price point in the website is $80. Therefore, in the second scenario the domain is:
[86.67, 135.69]