Answer: There would be 9 possibilities.
Step-by-step explanation:
Given : The number of regions in the spinner = 3
if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-
Therefore, there would be 9 possibilities.
We are practicing finding the percent of each number
The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:
Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.
Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:
y = (3/5)x - (2/5)
Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:
y = (3/5)x + (33/5)
Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
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Answer:
Different slope of 3
Step-by-step explanation:
Just did it
Answer:
The correct option is (a).
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and take appropriately huge random-samples (n > 30) from the population with replacement, then the distribution of the sample- means will be approximately normally-distributed.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
The information provided is:
n = 200
σ = 19.0
Population is skewed.
As the sample selected is quite large, i.e. n = 200 > 30 the central limit theorem can be used to approximate the distribution of the sample mean by the normal distribution.
So, .
Then to construct a confidence interval for mean we will use a z-interval.
And for 95% confidence level we will compute the critical value of z, i.e. .
Thus, the correct option is (a).
o 2
o 4
016
o 24
12
B.
14
C.
19
D.
13
E.
6
F.
8