12/52, or 3/13. Because there are 12 total of these cards (4, 6, or 7) in a standard deck of cards, which has 52 cards.
59 is a tough bird to deal with; its only factors are 1 and 59.
Thus, forget about factoring. Instead, use the quadratic formula, or solve the equation by completing the square.
Please note: x2 is ambiguous. Please write x^2 to indicate "the square of 2."
Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.
Use the quadratic formula: x=[-b plus or minus sqrt(b^2-4ac)] / (2a)
to find the two roots. Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
Using the z-distribution, we have that:
- The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
- The <u>margin of error</u> is of 0.8 in.
- The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:

The margin of error of a z-confidence interval is given by:
In which:
- z is the critical value.
is the population standard deviation.
- n is the sample size.
We have to find the critical value, which is z with a p-value of
, in which
is the confidence level.
In this problem,
, thus, z with a p-value of
, which means that it is z = 2.575.
Then, the margin of error is:



The <u>margin of error</u> is of 0.8 in.
The interval is:



The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at brainly.com/question/25300297
Answer:
So the total area of the compound shape is 48 cm². Summary: Find the missing lengths around your L shape and divide the shape into 2 rectangles. Find the area of both rectangle and add them up to give the total area of the compound shape.
Step-by-step explanation: