Answer:
Step-by-step explanation:
b² = a² + c² - 2ac × cos (m∠B)
b² = 105² + 9² - 2(9)(105)cos65°
b ≈ 101.5
Everything is in the picture. All transformations are on y so entire functions gets affected
Answer:
-25,-6
Step-by-step explanation:
5 to - 10 is a 15 unit negative transition on the x axis
2 to -2 is a 4 unit negative transition on the y axis
Answer:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16
Answer:
Skewed to the left.
Step-by-step explanation:
Relationship between the mean and the median:
The mean is the average of all the values in a set.
The median is the one separating the lower 50% values of a set from the upper 50% of the values.
If the mean and the median are the same, the distribution is symmetric. That is, 50% of the values are above the mean, and 50% are below.
If the mean is higher than the median, the distribution is skewed to the left. Which means that a percentage higher than 50% of the values are below the mean, and a percentage lower than 50% of the values are above the mean.
If the mean is lower than the median, the distribution is skewed to the right. Which means that a percentage higher than 50% of the values are above the mean, and a percentage lower than 50% of the values are below the mean.
In this problem, we have that:
Mean = 29.4 inches
Median = 28.5 inches
Mean higher than the median. Which means that the histogram is skewed to the left.