Answer:
-4
Step-by-step explanation:
y = -4x - 3
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -4 and the y intercept is -3
B is the correct answer. The way I found this answer is by converting the fractions to a decimal. 9/10= .90, 3/4=.75 . Which decimal is greater? 9/10. So 9\10 is greater than 3/4 . :)
Answer:
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 2.87 and standard deviation .34.
This means that
Middle 90% of scores:
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.
95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
Answer:
Step-by-step explanation:
The illustration is unclear. Is y the base of both triangles, or is it the base of the triangle on the right?
I'll assume that y is the base of the triangle on the right.
The triangle on the left is a 45-45-90 triangle. The lengths of the sides are in the ratio 1:1:√2, so the length of the vertical leg is 8/√2.
The triangle on the right is a 30-60-90 triangle. The lengths of the sides are in the ratio 1:√3:2.
The side opposite the 30° angle is 8/√2, so the side opposite the 60° angle is 8√3/√2 = 4√6, and the side opposite the 90° angle is 2×8/√2 = 8√2.
The answer is 16.8. Tell me if I'm right