Answer:
0.0323 = 3.23%. Is unusual
Step-by-step explanation:
Using the normal distribution we can find z value with the mean and standard deviation as follows. x is the value we want to know its probability
z = (x - mean)/standard deviation
z = (5-8.54)/1.91
z = -1.85
Using z tables for normal distribution, for z = 1.85, we have an area under the curve of 0.9677. Since we want to know the probability for 5 minutes or less, we have to substract from
p = 1- 0.9677
p = 0.0323
An event with a probability less than 5% is considered unusual.
Answer:
Below.
Step-by-step explanation:
15+10+8=33.
The first (and most typical) way to find distance of two points is by using the distance formula.
One alternative is the Manhattan metric, also called the taxicab metric. This option is much more complicated, and rarely used in high school math. d(x,y)=∑i|xi-yi|
Answer:
see explanation
Step-by-step explanation:
from the diagram
DF = DE + EF , that is
4x + 2 = x + 7 + 7
4x + 2 = x + 14 ( subtract x from both sides )
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
DE = x + 7 = 4 + 7 = 11
DF = 4x + 2 = 4(4) + 2 = 16 + 2 = 18
