Answer:
c =14.9 cm
Step-by-step explanation:
<C = 180 - (150 + 12)
<C = 180 - 162
<C = 18°
Law of sines:
sin (18) / c = sin(12) / 10
0.309 / c = 0.2079 / 10
c = 0.309 * 10 / 0.2079
c =14.9
Answer:
ΔABC ~ ΔEDF; x = r × w/z
Step-by-step explanation:
m∠ABC = 180 -47 - 62 =71 = m∠EDF
ΔABC ~ ΔEDF
w/z = x/r
x = r × w/z
There is no mode because the mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.
Answer:
The 99% confidence interval for the average length of time all car owners plan to keep their cars is between 3.85 years and 10.55 years.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.2 - 3.35 = 3.85 years
The upper end of the interval is the sample mean added to M. So it is 7.2 + 3.35 = 10.55 years
The 99% confidence interval for the average length of time all car owners plan to keep their cars is between 3.85 years and 10.55 years.
Answer:
y - 1 = 5(x - 5)
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, 1)
Slope = ?
From the question, the value of the slope is missing. Hence, let's assume a value of 5.
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 1 = 5(x - 5)
y - 1 = 5x - 25
y = 5x - 25 + 1
y = 5x - 24 = mx + c
