An angle of depression involves you at a point and looking downward, with your eyes as the vertex. (An angle of elevation goes up from your line of sight.)
In the picture, imagine your eyes are point A. To make an angle of depression, you look downward. The angle made is angle #1, as none of the other angles use A as a vertex.
Answer:
Step-by-step explanation:
-3m + 18 < 30
-3m < 30 - 18
-3m < 12
m > -12/3
m > -4 <====
** in an inequality, if u divide/multiply by a negative number, u have to switch the sign
Answer: x = 4
Step-by-step explanation:
Solving
9 + 3x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
1) Add '-9' to each side of the equation.
9 + -9 + 3x = 21 + -9
2) Combine like terms: 9 + -9 = 0
0 + 3x = 21 + -9
3x = 21 + -9
3) Combine like terms: 21 + -9 = 12
3x = 12
4) Divide each side by '3'.
x = 4
5) Simplifying
x = 4
#BaconSquad
Answer)
It has 4 solutions
Answer:
The inter-decile range of IQ is 40.96.
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:
First decile:
100/10 = 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.
Ninth decile:
9*(100/10) = 90th percentile, which is X when Z has a pvalue of 0.9. So it is X when Z = 1.28.
Interdecile range:
120.48 - 79.52 = 40.96
The inter-decile range of IQ is 40.96.