Answer:
68%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 75, standard deviation of 4.
What percent had scores between 67 and 75?
67 = 71 - 4
75 = 71 + 4
Within 1 standard deviation of the mean, so, by the Empirical Rule, 68%.
Answer:
The slope is 25 and the y-intercept is 100
Step-by-step explanation:
With linear equations (y = mx + b), m<em> </em>is always the slope, which, in this case, is 25. It could also be written as 
, although it's not necessary here
B is always the y-intercept, which is 100 here
<span>In the problem, we were asked to find the distance from the base towards the island. First, we need to calculate for theta. So, 90-50 = 40°
Remember mnemonics, SOH CAH TOA. Since given is the angle and the altitude, we are going to use the tangent function.
tan40° = d/500
= 419.54 or approximately 420 feet.
The island is 420 feet away from the location underneath the helicopter.</span>
9(30+7) = (9*30)+(9*7)
This is the distributive property
x(y+z) = xy + xz
Let the dash = x
9(30+7) = (9*x)+(9*7)
9(37) = 9x + 63
333 = 9x + 63
Substract 63 from both sides
333 - 63 = 9x +63-63
270 = 9x
Divide both sides by 9
270/9 = 9x/9
30 = x
Or x = 30
Answer
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