What si 4 yards converted into foot?
1 answer:
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Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z= where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
- N is the sample size
For the sample proportion 0.35:
z(0.35)= ≈ -1.035
For the sample proportion 0.5:
z(0.5)= ≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.
The options are given in the image attached with the answer
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable.
It is asked among the options given , which is increasing at the highest rate.
To increase at a rate , the value of the slope , m should be > 0
For the Option 1
for a straight line function , the slope is given by
m = ( y₂ -y₁)/(x₂-x₁)
m = ( -3 -3)/(2- (-1)) = -6 /3 = -2
Therefore the function is decreasing
For Option 2
12x - 6y = -24
-6y = -12x -24
y = 2x +4
m = 2 (increasing)
For option 3
m = (-4 + 5)/(2-1) = 1
For Option 4
(8,0) (0,-4)
m = (-4 -0) /(0-8) = 4/8 = 1/2
The highest rate on increasing is of 12x -6y = -24
Therefore Option B is the correct answer.
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