Answer:
I think it's 34
Step-by-step explanation:
cuz you add 11 and 12 frequency
Answer:
A) -10x - 24
Step-by-step explanation:
1. To simplify this expression, we apply the distributive property.
Therefore, the answer is A) -10x - 24.
Answer:
The percentile for William is 76.97.
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scors of a population, and for this case we know the distribution for X is given by:
Where
and 
2) Solution to the problem
We are interested in find the percentile for the score of 30 obtained by William. The best way to solve this problem is using the z score formula given by:

And z follows a normal standard distribution. We can find the z scor for the score X=30 like this:

And now we can find the probability using excel or a table, on this way:

And that means the 76.97 percentile since we have on the left of the score of 30, 0.7697 of the area on the left and 0.2303 of the area on the right.
So then the percentile for William is 76.97.
Answer:
257.5 mph
332.5 mph
Step-by-step explanation:
The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is
miles
Calling v1 and v2 the velocities of the two planes, we have the following equations:
(1)
--> velocity of plane 1 exceeds velocity of plane 2 by 75 mph
(2)
--> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)
Substituting t=1.5 h, the second equation becomes:

By substituting (1) into this last equation, we find:

And substituting this back into eq.(1), we find

So, the speeds of the two planes are
257.5 mph
332.5 mph
Answer: the current value of the house is $343350
Step-by-step explanation:
The initial value of the house on the market was $315,000.
After several years the value increased by 9%. This means that the amount by which the value of the house increased over the years would be
9/100 × 315000 = 0.09 × 315000 = $28350
The current value of the house would be the sum of the previous value of the house and the increase in value. It becomes
315000 + 28350 = $343350