The correct answer is: 330
Explanation:
The formula for combination is given as follows:
--- (1)
Where n = 11
r = 4
Plug in the values in equation (1) and calculate:
Hence the correct answer is 330.
Which is the correct algebraic expression for each phrase? (Image) Please answer ASAP!
1 answer:
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Answer:
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
Step-by-step explanation:
Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.
Given;
N(A) = 150
N(B) = 204
N(C) = 206
N(A∩B) = 75
N(A∩C) = 100
N(B∩C) = 98
N(A∩B∩C) = 38
N(Total) = 500
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;
N(AUC∩B')
This can be derived by first finding;
N(AUC) = N(A) + N(C) - N(A∩C)
N(AUC) = 150+206-100 = 256
Also,
N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135
N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
See attached venn diagram for clarity.
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part
Answer: There are 249 times Jamie takes a counter from the bag.
Explanation:
Since we have given that
Ratio of colour of red to blue to green is 1:3:7.
Number of blue counters = 68
Let the total number of times Jamie does from the bag be x.
So, According to question,
Hence, there are 249 times Jamie takes a counter from the bag.
Answer:
a.) y = 3/(2ˣ)
b.) y = 1/(2ˣ)
c.) y = (π^π)ˣ
d.) y = (1/27)(1/√(3))ˣ
e.) y = .002908/(.119025ˣ)
f.) y = .00000004808/(.0413ˣ)
Step-by-step explanation:
Concept need to know is:
- a negative exponent will flip the numerator with the denominator
- a fraction as an exponent is just a root. so if the exponent is x^(1/2) then the root is 2 and x^(1/3) is a cube root
- adding and subtracting exponent is the same thing as multiplying the same base.
- so x^(1+2) = (x^1)(x^2)
- and x^(1-2) = (x^1)(x^-2)
