Independent-a variable (often denoted by x) whose variation does not depend on that of another
dependant-a variable (often denoted by y) whose value depends on that of another.
Answer:
<h2>k = -1</h2>
Step-by-step explanation:
We have the point (5, k) and the equation 2x + y = 9.
Put the coordinates of the point ot the equation:
x = 5, y = k
2(5) + k = 9
10 + k = 9 <em>subtract 10 from both sides</em>
10 - 10 + k = 9 - 10
k = -1
Answers:
P(A) = 7/12
P(B) = 1/2
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Explanation:
To see how I calculated P(A), check out this link to this very similar question
brainly.com/question/27669586
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Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
- 1 copy of "2"
- 3 copies of "4"
- 5 copies of "6"
- 5 copies of "8"
- 3 copies of "10"
- 1 copy of 12
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302