A suitable probability calculator can tell you the probability is about 6.7%.
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The standard deviation of the distribution of sample means is the population standard deviation (6) divided by the square root of the sample size (√144=12). Thus, your threshold is about (19.25-20)/(6/12) = -1.5 standard deviations from the mean.
Answer:
Step-by-step explanation:
In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.
In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3
Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.
Answer:
Hundreds
Step-by-step explanation:
Refer to the underlined numbers:
3427<u>7</u> - 7 is in the ones place
342<u>7</u>7 - The second 7 is in the tens place
34<u>2</u>77 - 2 is in the hundreds place
3<u>4</u>277 - 4 is in the thousands place
<u>3</u>4277 - 3 is in the ten thousands place
Let the number = x.
So 2 times x subtracted from 11 is written as 11-2x
The result is 4 more than the number is written as 4 +x
Now you have 11-2x = 4 + x
We can now solve for x.
Add 2x to each side:
11 = 4 + 3x
Subtract 4 from each side:
7 = 3x
Divide both sides by 3:
x = 7/3
You would have to know the height of the 8th graders
