Slope-intercept form can be written as
y = mx + b
From the question above, we should move x to another side (right side), so the left side only contains of y-variable
-3x + 2y = 12
2y = 12 + 3x
To make slope-intercept form, only y is on the left side. We should move the coefficient 2 to the right side.
2y = 12 + 3x
2y = 3x + 12
y = (3x + 12)/2
Simplify the equation
y = (3x + 12)/2
y = (3/2)x + 12/2
y = (3/2)x + 6
This is the final answer ⇒ y = (3/2)x + 6
Answer:
182
Step-by-step explanation:
The number of permutations of 14 things taken 2 at a time is ...
14P2 = 14·13 = 182
The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.
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We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, <em>order matters</em>.
Answer:
(6,7)
Step-by-step explanation:
Let B(x,y).
By the midpoint formula,
- 4 is the average of 2 and x, so x = 6.
- Similarly, y = 7.
So, the coordinates of B are (6,7).
Answer:
Step-by-step explanation:
the last answer looks good
Answer:
a) Binomial distribution, with n=20 and p=0.10.
b) P(x>1) = 0.6082
c) P(3≤X≤5) = 0.3118
d) E(X) = 2
e) σ=1.34
Step-by-step explanation:
a) As we have a constant "defective" rate for each unit, and we take a random sample of fixed size, the appropiate distribution to model this variable X is the binomial distribution.
The parameters of the binomial distribution for X are n=20 and p=0.10.
b) The probability of k defective surge protectors is calculated as:
In this case, we want to know the probability that more than one unit is defective: P(x>1). This can be calculated as:
c) We have to calculate the probability that the number of defective surge protectors is between three and five: P(3≤X≤5).
d) The expected number of defective surge protectors can be calculated from the mean of the binomial distribution:
e) The standard deviation of this binomial distribution is: