Answer:
B. 78 and 82.
Step-by-step explanation:
We have been given that the average test score of the class was an 80 and the standard deviation was 2. We are asked to find two values between which 68% of class will score.
We know that in a normal distribution approximately 68% of the data falls within one standard deviation of the mean.
So 68% scores will lie within one standard deviation below and above mean that is:
Upon substituting our given values, we will get:
Therefore, about 68% of the class would score between 78 and 81 and option B is the correct choice.
Answer:
A
Step-by-step explanation:
Since DA can be considered a line the whole value of it is 180 degrees. So you do 180-105 which equals 75. You then add 75 to 67 which is equal to 142. The value of a triangle is 180 so you would do 180-142 and you would get 38. Thus, X is equal to 38 degrees.
Answer:
The product of two fractions can be calculated as follows:
So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.
In this problem, we know that the product is 6/40, so:
This means:
So we just need to find 2 pairs of numbers a, b to make c and d integers.
The first choice we use is:
a = 3
b = 2
So we get:
So the first pair of fractions is
The second choice we use is:
a = 2
b = 10
So we get:
So the second pair of fractions is
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.
The squared term will be the sum of the products of factors whose degrees total 2:
(8x)(-5x) + (-5)(2x²) = -40x² -10x² = -50x²
The appropriate choice is
16x³ -50x² -23x +30
Rectangle=4 sides
Perimeter=add all sides
11m wide=11m wide ?m long=?m long
86-11-11=64
64/2=32