Answer:
Step-by-step explanation:
z-score is denoted by:
here,
: mean
: standard deviation (or the square root of the variance)
so first we need to find the means of our sample:
Now to find the standard deviation we first need to find the variance of the sample. The variance is the sum of the squares of the differences of each value from the mean.
the standard derviation is simply the square root of the variance!
Now that we all the values for our z-score formula. we can plug it in!
Finally we'll use each value in place of x from our sample into the formula to find the z-score of each value.
We can even display the z-scores in a table: (the x-values are in ascending order)
Answer:
exponent
Step-by-step explanation:
Answer:
2,120 m
Step-by-step explanation:
Cedric lives at one end of Main Street, and Landon lives at the other end of the street
Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.
Step 1
We calculate the kilometers Cedric has to walk to arrive at Landon's house
This is given as:.
6.02km - 3.9 km
= 2.12 km
Step 2
How many more meters must Cedric walk to arrive at Landon's house?
We convert from km to m
1 km = 1000m
2.12km = x
Cross Multiply
x = 2.12 × 1000m
x = 2120 m(meters)
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;
The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect
