Hello :
<span>the linear function has form : y = ax </span>
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.
Answer:
y = -2x - 5
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)
sub (-4, 3):
3 = -2(-4) + c
c = -5
therefore, the equation of the line is y = -2x - 5
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
999.60
Step-by-step explanation:
$3.51 times 42 is 147.42 and 1147.02 minus 147.42 is $999.60
TBH this might not be right I'm not great at math buuut- heeeyy
Answer:
14 +15 the answer is this