Answer:
Both, you and your friend, are correct.
Step-by-step explanation:
5 P 5 = 5!
A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.
Step-by-step explanation:
Given
f(x) = 12x + 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 12x + 2
Interchanging the role of x and y
x = 12y + 2
x - 2 = 12y
y = <u>x </u><u>-</u><u> </u><u>2</u>
12
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>
12
Hope it will help you.
Answer: A
Step-by-step explanation:
The shape in the diagram is a square, a square is a shape with all sides being equal. To find out the length of all the sides, just count how many units make up one side since they're the same.
Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 <
< 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% <
× 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.
Answer:
so it should be adding by 2 and the next shape should look like a larger backwards L adding one block to each end hopefully you can understand.
Step-by-step explanation: