Answer:
We conclude that the games in Denver would be longer than major league baseball games.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 180 minutes
Sample mean, = 185.54 minutes
Sample size, n = 81
Alpha, α = 0.05
Sample standard deviation, s = 24.6 minutes
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it.
We accept the alternate hypothesis.
We conclude that the games in Denver would be longer than major league baseball games.
Answer:
Step-by-step explanation:
First main thing to know is the product and quotient rule of exponents.
Product Rule:
And if this doesn't make sense, you can think of the exponent like this:
and since multiplication is commutative, we can just combine all these x's, and since the total amount on the left is "a", and the right is "b", the total combined x's should be a+b, which can be expressed as:
which can be expressed as an exponent (x^(a+b))
Quotient Rule:
You can use similar reasoning for this, since if you write it out you get
and since you have an x in the numerator and the denominator, you can simply cancel the x's out. In doing this you want to remove the denominator, so you cancel out "b" x's. So there will be (a-b) x's left in the numerator, and a 1 in the denominator, so it's just x^(a-b)
Ok so now let's apply these to solve your question
So let's combine the exponents in the numerator and denominator using the product rule
Now we can divide the 15 by 5, and divide the x^11 by the x^9 using the quotient rule
Answer: -1/2
Step-by-step explanation:
-5/8 x 2/3
= -1/2
Answer:
14.3 gallons
Step-by-step explanation:
18 1/6 gallons - 3 7/8 = 14.29
18 - 3 = 15
1/6 - 7/8 = 15 - 0.70833333333 = 14.2916666667
You need to be careful here if you use basic subtraction, simply as two minus would change to addition.