Answer: 72+6n
Step-by-step explanation: Subtract the values 81 and -9
72+10n-4n=
72+6n
Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways
Answer:
Step-by-step explanation:

Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.
Answer is point P.
(-3, 6)
Point L represents the given coordinates.

Point P represents the given coordinates.

Since, x and y coordinates are positive, point will lie in the 1st quadrant.
Point Q represents the given coordinates.

Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.
Point R represents the given coordinates.
Answer:
yes, we can reject the hypothesis
Step-by-step explanation:
The null hypothesis
H0 = mean weekly food budget for all households in this community is $98
Let´s find z
z= (x – mean) / standard deviation / √sample size
z = (100 – 98) / 10 / √100
z = 2
Using a Z table we can find probability
P (z>2) = 0.0228
Since P < α , results are significant and we can reject the hypothesis
Answer:
10.35
Step-by-step explanation: