Answer:
75%
Step-by-step explanation:
Given that the score of 8 students in Mr. M's class are 87, 55, 96, 38, 83, 64, 44, 81, the scores less than 84 are 55, 38, 83, 64, 44, 81.
These means that 6 student had scores less that 84 of the 8 students hence the percentage of these test scores that are less than 84
= 6/8 * 100%
= 75%
This means that 75% of the students had scores less than 84
Let the number of girls be g and the number of boys be b.
b = 3g
Class average = class score/class size = 17
17 = (class score) / 3g + g
68g = class score
Class score = girls score + boys score
Girls average = girls score/g
girls score = 18g
68g = 18g + boys score
boys score = 50g
Boys average = 50g/3g
= 16.7
Answer:
k = 1
Step-by-step explanation:
=> y ∝ x²
So, y = kx² ----------------------------(1)
<u><em>Where k is the constant of proportionality</em></u>
Now,
y = 9 when x = 3
Putting in (1)
=> 9 = k(3)²
=> 9 = k(9)
Dividing both sides by 9
=> k = 1
Answer:


We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%
And then the final answer for this case would be:

Step-by-step explanation:
For this case we have the following parameters from the variable number of motnhs in service for the fleet of cars

For this case we want to find the percentage of values between :

And we can use the z score formula given by:

In order to calculate how many deviation we are within from the mean. Using this formula for the limits we got:


We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%
And then the final answer for this case would be:

10) M^2 + M^2 = 9 root 2
You can use Triganometry to find th missing length or the sine rule. The sine rule is: a / SinA = b / SinB. Substitute the length 9 root 2 as a and substitute both Sin45 into SinA and SinB the calculator should simply give you the answer... hope this helps