Answer:
options 1,3,4 are functions.
Step-by-step explanation:
RULE: a relation is said to be a function if every element in the domain ( the numbers in the left side in the below sets) is related to only one number ( number on the right side in the below sets).
Let us check each option one by one:
1. 3 2
9 1
-4 7
0 -2
here each number on the left side is mapped to or is related to one number only.
so this relation is a function
2. 7 1
-5 2,3
1 0
here, "-5" is mapped to two different numbers. so this relation is not a function.
3. -2 -4
2 4
6 8
-6 -8
here each number on the left side is mapped to or is related to one number only.
so this relation is a function
4. 1 3
-1 3
2 3
-2 3
here each number on the left side is mapped to or is related to one number only.
so this relation is a function.
even if it is related to the same number, it doesn't matter.
it should follow the above given rule that's it.
Answer:
2. Alex sent the questionnaire only to those who live near her.
Step-by-step explanation:
Given scenario is :
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.
She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.
We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.
Here you would factor out a 1.7 because that is the coefficient in front of the j. When you factor, you are essentially dividing each term by the value you are factoring out
1.7j/1.7=j
-3.4/1.7=-2
So the final answer is 1/7(j-2)
Hope this helps<span />
Answer:
The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.
Step-by-step explanation:
This can be modeled as a binomial random variable with n=8 and p=0.4.
The probability that k individuals in the sample have Type A blood can be calculated as:
![P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\](https://tex.z-dn.net/?f=P%28x%3Dk%29%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%20p%5E%7Bk%7D%281-p%29%5E%7Bn-k%7D%5C%5C%5C%5C%5C%5CP%28x%3Dk%29%20%3D%20%5Cdbinom%7B8%7D%7Bk%7D%200.4%5E%7Bk%7D%200.6%5E%7B8-k%7D%5C%5C%5C%5C%5C%5C)
Then, we can calculate the probability that more than 8/2=4 have Type A blood as:
![P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738](https://tex.z-dn.net/?f=P%28X%3E4%29%3DP%28X%3D5%29%2BP%28X%3D6%29%2BP%28X%3D7%29%2BP%28X%3D8%29%5C%5C%5C%5C%5C%5CP%28x%3D5%29%20%3D%20%5Cdbinom%7B8%7D%7B5%7D%20p%5E%7B5%7D%281-p%29%5E%7B3%7D%3D56%2A0.0102%2A0.216%3D0.1239%5C%5C%5C%5C%5C%5CP%28x%3D6%29%20%3D%20%5Cdbinom%7B8%7D%7B6%7D%20p%5E%7B6%7D%281-p%29%5E%7B2%7D%3D28%2A0.0041%2A0.36%3D0.0413%5C%5C%5C%5C%5C%5CP%28x%3D7%29%20%3D%20%5Cdbinom%7B8%7D%7B7%7D%20p%5E%7B7%7D%281-p%29%5E%7B1%7D%3D8%2A0.0016%2A0.6%3D0.0079%5C%5C%5C%5C%5C%5CP%28x%3D8%29%20%3D%20%5Cdbinom%7B8%7D%7B8%7D%20p%5E%7B8%7D%281-p%29%5E%7B0%7D%3D1%2A0.0007%2A1%3D0.0007%5C%5C%5C%5C%5C%5C%5C%5CP%28X%3E4%29%3D0.1239%2B0.0413%2B0.0079%2B0.0007%3D0.1738)
Answer:
1 rectangle
Step-by-step explanation
Area= lxb
So 7.7 x 11 = 84.7
3 trapezoid
Area =(a+b/2)
Base a=13
Base b = 6
Height = 5
By 2
Answer= 47.5
4 Right angled triangle
Ab/2
Axb
Multiply each legs of the right angle triangle
So 3 1by4 x 4
By 2