To calculate the mean of a set of data, you have to work out the sum of the data (in this case, you need to work out the sum of all the points) and divide it by the number of data points there are (in this case, number of games played).
So you have to do:
(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60
The mean number of points is 60.
<h3>Answers:</h3>
- A) No, it is not a function
- B) Yes it's a function
- C) Not a function
- D) Yes it's a function
- E) Yes it's a function
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Explanation:
If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.
Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.
The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.
Answer:
5
Step-by-step explanation:
So let's start with making an equation,
125 x A = 625 Note: A is just a variable for the missing number
125A / 125 = 625 / A
A = 5
So, the missing number is 5
If you have any questions, let me know in the comments section of this answer!
Answer:
There is enough evidence to support the claim that the percent that the goalkeeper guessed correctly is less than 50%.
Step-by-step explanation:
We have to perform an hypothesis test on a proportion.
We have a sample of size n=138, a sample mean of p=0.41.
The standard error is SE=0.043.
We want to test the claim that the real proportion is below 50%.
Then, the null and alternative hypothesis are:
The significance level is α=0.05.
The z-statistic can be calculated as:
The P-value (left tail test) for this z-statistic is:
The P-value is smaller than the level of significance, so the effect is significant. The null hypothesis is rejected.
There is enough evidence to support the claim that the percent that the goalkeeper guessed correctly is less than 50%.
