Answer: B)
Step-by-step explanation:
If y = z then replace z for y in the second equation.
2 y + z = 12
2y + y = 12
3y = 12
y = 4
This also means z = 4.
Insert both of these values into the first equation:
x + y + z = 8 + 2sqr3
x + 4 + 4 = 8 + 2sqr3
x + 8 = 8 + 2sqr3
x = 2sqr3
0.675 I believe. You needed to divide the two and then subtract the two numbers, right?
Answer:
Step-by-step explanation:
Given
--- Mean
--- Variance
Calculate the standard deviation
Solving (a): P(X < 1.96)
First, we calculate the z score using:
This gives:
The probability is then solved using:
From the standard normal distribution table
So:
Solving (b): P(X > 1.64)
First, we calculate the z score using:
This gives:
The probability is then solved using:
From the standard normal distribution table
So:
Solving (c): P(0.5 < X < 0.5)
This can be split as:
In probability:
becomes
Answer:
(S+7)/4 = T
Step-by-step explanation:
S=4T-7
We want to solve to T
Add 7 to each side
S+7=4T-7+7
S+7 = 4T
Divide each side by 4
(S+7)/4 = 4T/4
(S+7)/4 = T
Answer: 2 tokens.
Step-by-step explanation:
From the question, we are informed that a bag contains green tokens and black tokens and that there are 8 green tokens in the bag.
We are further told that the ratio of green tokens to black tokens is 4 for every 1.
Since the green tokens is 4× the black tokens, therefore the number of black tokens in the bag will be:
= 8/4
= 2 tokens