Answer:
Step-by-step explanation:
The altitude falls in the middle of the line.
So, the point at which it falls in the bottom line is the midpoint, so the length of the blue triangle would be 6/2 = 3
So, the blue triangle has length of 3 and height of H and hypotenuse of 10.
Now, we will use Pythagorean Theorem to solve for H. The theorem is:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know one leg of the triangle is 3 and another leg is H and hypotenuse is 10, so we substitute and solve:
This is the exact answer for H
<span>49y^3-7y^2+14y
= 7y(7y^2 - y + 2)</span>
35 people paid a total of $245 for admission to a local soccer game. What is the price of admission?
Answer: We are given that 35 people paid total of $245 for admission.
Now we need to find the price of one admission. To find the price of one admission we need to divide the total amount paid by the number of people.
Therefore, the price of admission is:
7
Answer:
70 minutes which is 1 hour and 10 minutes
The probability is 0.4332.
We want to find the z-scores associated with the ends of the ranges. The z-score for 200 would be 0, since it is 0 away from the mean. To find the z-score of 275 we use the formula:
Using a z-table (http://www.z-table.com) we can find the area under the curve to the left of 1.5 (everything less than that, so every score less than 275). This is 0.9338. However, we only want the range from the mean, 200, up to this point. This means we subtract the area to the left of 200, 0.5 (half of the data goes from the mean left), from this:
0.9338-0.5=0.4338.
