Total budget = $13,500
Donations = 12%
Taxes = 12%
Food = 26%
Clothing = 20%
Housing = 10%
and the rest are 5 %
Answer:
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
Step-by-step explanation:
We have the equation: x+y=6
We want to get this in the form: y=mx+b (or in this case y=x+b)
To do this we need y to be positive and by itself
So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)
Doing this we have
-x+6=y
From here we just plug in numbers -2 to 3 which I will assume you know how to do
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies
![\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%201%28%5Csigma%29%5C%5C%3D1256%20%5Cpm%2041%5C%5C%3D%281215%2C%201297%29)
68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies
![\mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%202%28%5Csigma%29%5C%5C%3D1256%20%5Cpm%202%2841%29%5C%5C%3D1256%20%5Cpm%2082%5C%5C%3D%281174%2C%201338%29)
95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies
![\mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%203%28%5Csigma%29%5C%5C%3D1256%20%5Cpm%203%2841%29%5C%5C%3D1256%20%5Cpm%20123%5C%5C%3D%281133%2C%201379%29)
All of data will be found between 1133 years and 1379 years.
Answer:
$5.70
Step-by-step explanation:
→ Find the total amount they needed to pay
11.40 × 2 = 22.80
→ Divide the total by 4
22.80 ÷ 4 = $5.70