Answer:
Lowest IQ: 89.875
Highest IQ: 110.125
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:
The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?
The middle 50% is the interval from the 25th percentile to the 75th percentile.
Lowest IQ:
This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is
Highest IQ:
This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is
X = # of posters, y = total cost
y = 2x + 250
y = 1000
1000 = 2x + 250
1000 - 250 = 2x
750 = 2x
750/2 = x
375 = x....so 375 posters can be printed
==========================
y = total cost, x = # of miles
y = 3x + 3
y = 117
117 = 3x + 3
117 - 3 = 3x
114 = 3x
114/3 = x
38 = x.....so the car was towed 38 miles
Answer:
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
Now, if α = 37° then β (angle JLK) must be:
Now, we can find the distance ML using again the tangent definition:
The base of the triangle LKJ will be:
Therefore, using equation (1) the area of △LKJ will be:
The correct answer is c.
I hope it helps you!