Answer:
Step-by-step explanation:
2,4,5
If the slope is zero than you do not have anything to do the rise over run thing so y will always equal 3 and x is equal all real numbers therefore your answer is (-3,3)
The probability that an individual will score of 50 or less is 0.06.
Given mean of 60 and standard deviation of 8.
We have to find the probability that individual will score 50or less.
Probability is the chance of happening an event among all the events possible. The probability lies between 0 and 1. The formula to calculate probability is as under:
Probability = number of items/total items.
We have to first find the z value from 50 to 60 which can be found as under:
z value=(50-60)/60
=-0.167
P value from 50 to 60 is 0.44
probability that the individual will score 50 or less is 0.5-0.44
=0.06
Hence the probability that the individual will score 50 or less is 0.06.
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Answer:
8x - 4y + 12
Step-by-step explanation:
-2(-4x + 2y - 6)
(-2)(-4x) + (-2)(2y) + (-2)(-6)
(2 * 4x) - (2 * 2y) + (2 * 6)
8x - 4y + 12
Hello!
To solve this, first say x = number of hours grading.
We can set up fractions to represent how much each one of them can grade in one hour. To do this, divide the number of essays by the number of hours it would take for them to grade them. Therefore, the professor would be able to grade 5/2 essays in one hour, and her assistant would be able to grade 7/3 essays in one hour.
Now, set up your equation.
5/2x + 7/3x = 40
Since x = number of hours spent grading, multiply that by the respective fractions we calculated earlier to get the number of essays they would grade in x hours. Set the equation equal to 40 as you are looking for 40 essays done.
Now, solve the equation. First, set a common denominator, add the two fractions together, then simplify.
5/2x + 7/3x = 40
15/6x + 14/6x = 40
29/6x = 40
x = 40/(29/6)
x = 40 * (6/29)
x = 240/29
x = about 8.3
Therefore, your answer is about 8.3 hours, or about 8 - 9 hours.
Hope this helps!