The answer is A, because 43 of the flights were from UA and were on time, this is out of a whole of 87 flights.
There are 2! = 2 ways to arrange the names of two basketball players in a hat.
Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.
Therefore, <span>the probability that they shoot free throws in alphabetical order is

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Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.
KM = 30 + 10√3
KL = 10√6
(sorry i'm not too sure if my "reasons" for statement/reason is correct)
Answer:
Step-by-step explanation:
If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;
D = √(x2-x1)²+(y2-y1)²
Given
x1 = -8, y1 = 0, x2 = -8 and y2 = 6
Substitute
D = √(x2-x1)²+(y2-y1)²
D = √(-8-(-8))²+(6-0)²
D = √0²+6²
D = √36
D = 6units
Hence the distance between the coordinate points is 6units
Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.
If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.
In this question we are not given Population standard deviations σ1 and σ2.
Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.
Therefore we use t test.
Given :- Assume the population standard deviations are equal. ( σ1 = σ2)
then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.
(kindly find the image attached with this solution)
Answer :- Therefore 25 degrees of freedom are used to find the t critical value.