It is known
and
(if you want to determine cosine of 30° you should draw the perpendicular line to the x-axis and find the point of intersection, the value of x-coordinate is the cosine of 30°).
The angle
and
(see image).
The angle
and
(see image).
Answer:
slope is -1
Step-by-step explanation:
Slope of the line (m)=(y2 -y1)/(x2 -x1)
given
(x1, y1)=(-4 , 5)
(x2,y2)=(-7 , 8)
Now using the above formula
m =(8-5)/(-7-(-4))
m = (3)/(-7+4)
m= 3/(-3)
m=-1
therefore the slope of the line is -1
Answer:
2(7) = 14
Step-by-step explanation:
When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x
2(7) = 14
Answer:
Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z
Step-by-step explanation:
In a standard normal distribution (also called as <em>Gaussian distribution</em>) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.
z-score of a value X can be calculated as follows:
z=
where
- 50 is the <em>mean of the test scores</em>
- 6 is the <em>standard deviation of test scores</em>
Answer:
Give
null hypothesis: H0 = 5.5
alternative hypothesis: Ha different 5.5
standard error = 1 / (31) 1/2= 0.1796
we deduce that:
t stat = (5.2-5.5) /0.1796 = -1.67033
p-value = 0.105
the null hypothesis cannot be rejected because the value of p is greater
