Answer:
See the graphic I made
Area of Section A = 4 *1 = 4 square centimeters
Section B = 4 * (3 + 4) = 28 sq cm
Section C = 3 * (2 + 3 + 4) = 27 sq cm
Total Area = 4 + 28 + 27 = 59 square centimeters
Step-by-step explanation:
9. Which property is illustrated by 6 x 5 = 5 x 6?
2 answers:
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Answer:
C
Step-by-step explanation:
The slope intercept of a line is y=mx +b where
- m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
- b is the y-intercept for value on the y-axis for which the line crosses it.
This graph crosses the y-axis (the vertical line) halfway between -1 and -2. This is -3/2. This means only answers a, c, and d are options.
The graph moves up from -3/2 to its next point at (-4,0). We calculate the slope using:
Slope:
We substitute and
This decimal is equivalent to -7/8. This means C is the answer.
Answer:
There is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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.
In this problem:
The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and standard deviation 0.12 ounces, so .
That is, what is the probability that the amount dispensed into a box is less than 12 ounces?
This is the pvalue of Z when .
So:
has a pvalue of 0.2266.
This means that there is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.