Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
Here are the answers:
8. 6 servings
9. LCM= 120
9. LCM= 9
10. -72<-70
11.
1. False
2. True
3. True
12.
1. True
2. False
3. False
Answer:
70% of the people at the fair are students
165 people are on the ride
Step-by-step explanation:
In order to find a percentage, take the fraction given, 385/550, and divide the numerator, 385, and divide it by the denominator, 550. Once completing this, we get 0.7
Next, we multiply the result by 100, and get 70, thus, 385 is 70% of 550.
To find how many people 30% of 550 is, we take the percentage and put it in a fraction with the denominator being 100(changes with size of fraction like a decimal, 300 would be over a denominator of 1000)
With 30/100, we then multiply by 550 with the equation looking like this:
30/100*550/1
Once we finish multiplying(typically using a calculator, although you can do it manually) we get 165, the value of how many people are on rides out of the total 550.
Answer:
Step-by-step explanation:
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 points in a game of bowling of a population, and for this case we know the distribution for X is given by:
Where 
and 
We know that the value for Renee is X=175 and the z score obteined was Z=2.
Solution to the problem
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We are interested on the value of 
and we can solv for it:
And replacing the values we have:
