The area of rectangle with length l and width w is

If the length of rectangle is expressed as
and the width of rectangle is expressed as
, then the area of rectangle is

Answer:
z = 36 rolls , probability for getting 7 = 1/6
Step-by-step explanation:
A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.
The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
There the probability of getting a sum dice of 7 is:
= 6 / 36 = 1/6
Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.
<h3>Exponential function:</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function for the value of the airplane after t years is given by:

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.
To learn more about exponential functions, you can take a look at brainly.com/question/8935549
Answer:
C.-2.33
Step-by-step explanation:
We are given that
Significance level,
%=0.01
We have to find the critical value of z for a left-tailed test.
To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.
By using the z-table at significance level 0.01 for left-tailed test
The critical value of z at 1% significance level for left-tailed test
=-2.33
We get p-value by using z-critical value
P-value=0.0099<0.01
So, hypothesis test would be reject the null hypothesis at at 1% significance level.
Hence, the critical value of z=-2.33
Option C is true.