Answer:
roy is in the same quadrant
Step-by-step explanation:
↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵
Answer: 10
Step-by-step explanation:
There are ten cents in a dime, you multiply 10 times 10 and that will give you 100. hope this makes sense
Answer:
The length of each stone is
L = 12/25 = 0.48 ft
Hope this helps!
:)
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So
has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz
Although the question is not given,I can infere that you need to know the value of x, that is the widht of the frame.
Note that the dimensions of the rectangle covered by the frame are:
8 + 2x and 7 + 2x, meaning that the area covered by the whole figure is:
(8 + 2x) * (7 + 2x).
While the area of the picture is 8 in * 7 in = 56 in^2.
Then, you can state that the area of just the frame meets this equation:
area of the frame = area of the whole figure - area of the picture
34 = (8+2x)(7+2x) - 56
Now solve the equation, starting by expanding the product of the two parenthesis:
8*7 + 16x + 14x + 4x^2 - 56 = 34
4x^2 + 30x + 56 - 56 - 34 = 0
4x^2 + 30x - 34 = 0
Divide by 2 => 2x^2 + 15x - 17 = 0
Factor: (2x - 2)(x + 17/2) = 0
=> 2x - 2 = 0 => x = 1, and x + 17/2 = 0 => x = - 17/2.
Only x = 1 has a real physical meaning so, the solution is x = 1, which is the width of the frame.
Answer: the widht of the frame is 1 inch.
You can check: (8 + 2) (7 + 2) = (10)(9) = 90 = area of picture + the frame.
90 - 56 = 34 which is the area of the frame.
