Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.
Thus, 68% of the incomes lie between $36,400 and $38,000.
Since one pound is 16 ounces, it would cost .3*16, or $4.80 to buy one pound of peanuts. $5 is enough and there would be $0.20 left over.
Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w
278 = 2(w+41) + 2w
We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w
Then we'll COMBINE LIKE TERMS: 278 = 4w + 82
Next we'll subtract 82 from both sides: 196 = 4w
And finally divide both sides by 4:
49 = w
Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.
Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
3/10 + 2/6
use their lowest common multiple — which is 30 so:
3/10 -> 9/30 (multiply by 3)
2/6 -> 10/30 (multiply by 5)
then we can get the new equation of:
9/30 + 10/30 = 19/30
To find the distance between two coordinate points, we can use the distance formula as shown below.
distance = √[(x₁ - x₂)² + (y₁ - y₂)²]
where (x₁, y₁) and (x₂, y₂) are the coordinates we are comparing. So for M(6, 16) and Z(1, 14), we have
distance = √[(6 - 1)² + (16 - 14)²] = √(9 + 4) = 3.6.
Therefore, the distance M and Z is equal to 3.6 units.
<span>Answer: 3.6 units</span>
