Answer: Option A
Step-by-step explanation:
A relation between two variables x and y is considered a function if and only if, for each input value x there is only one output value y.
If for an input value
there are two output values
and
then the relation is not a function.
Therefore, to answer this question, identify the table in which each value of x has only one value of y.
You may notice that the option that meets this requirement is option A
Note that in option B, there are two output values 17 and 16 for x = -4.
So this relationship is not a function.
In option C there are 2 output values for x = -5
In option D there are 2 output values for x = -11
Answer:
The 90% confidence level is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean age is 
The standard deviation is 
Generally the degree of freedom for this data set is mathematically represented as
substituting values
Given that the level of confidence is 90% the significance level is mathematically evaluated as

10 %

Now 
Since we are considering a on tail experiment
The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

The margin for error is mathematically represented as

substituting values


he 90% confidence interval for the true average age of all students in the university is evaluated as follows

substituting values


We are asked to determine the probability of having at least one digit of zero in a winning lottery number that is composed of four digits from the set of numbers from 0 to 9. To determine the probability to be known, we can approach this problem by computing for the probability by counting theory for each digit.
Digit 1: there are 10 choices, so the probability is 1/10
Digit 2: there are only9 choices, probability of 1/9
Digit 3: there are also 9 choices, probability of 1/9
Digit 4: 9 digits as 0 is not a included
*(numbers beginning with zero do not count zero as part of the number)
Hence the probability is (1/10)*(1/9)*(1/9)*(1/9) = <span>0.000137</span>
Answer:
3.5
Step-by-step explanation:
27/3=9 and 18/3 is 6 so 10.5/3 is 3.5