Answer:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.
Solution:
Translation rules:
Horizontal shift:
when 
the point is translated 
units to the right.
when 
the point is translated units to the left.
Vertical shift:
when the point is translated units up.
when the point is translated units down.
Given translation shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=
So, the co-ordinates of Q' is (5,2). (Answer)
Lol k lol k lol k lol k it’s over 9,000
Answer:
Step-by-step explanation:
The equation of a line in the point-slope form:
We have:
Substitute:
Answer:
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The z-score when x=187 is ...
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:
Compute the critical value of <em>z</em> for 90% confidence level as follows:
*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:
Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
