Mitch is replacing all the light bulbs in his home with energy efficient LED light bulbs. How many packages of 4 will he need to
2 answers:
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First, notice that we are given the y-intercept, (0, 5), and the slope, m = 7.
We plug into slope-intercept form
to get 
.
We plug into slope-intercept form
<h2>Answer:</h2>
<em>(Check the attached image).</em>
<h2>Step-by-step explanation:</h2><h3>1. Identify the given information.</h3>a. We have the slope of the line, 1/4.
b. We also have a point of said line, because when the question states "y-intercept 5..." it's telling us that the lines touches the y intercept on the value y= 5, and this only happens when x= 0. Hence, a given point is (0, 5).
• Formula for constructing linear equations.
Formula: ; where m is the slope of the function; x1 is the x value of a point the function passes through, and y1 is the y value of a point the function passes through.
<em>(Check the attached image).</em>
Answer:
A)what is the probability that the sample mean will be More than 58 pounds
P(x>58)
Formula :
Substitute the values :
refer the z table
P(x<58)=0.5359
P(X>58)=1-P(x<58)=1-0.5359=0.4641
Hence the probability that the sample mean will be More than 58 pounds is 0.4641
B)what is the probability that the sample mean will be More than 57 pounds
P(x>57)
Formula :
Substitute the values :
refer the z table
P(x<57)=0.5040
P(X>57)=1-P(x<57)=1-0.5040=0.496
Hence the probability that the sample mean will be More than 57 pounds is 0.496
C)what is the probability that the sample mean will be Between 55 and 57 pound
Formula :
Substitute the values :
refer the z table
P(x<57)=0.5040
Formula :
Substitute the values :
refer the z table
P(x<55)=0.4443
P(55<x<57)=P9x<57)-P(x<55) =0.5040-0.4443=0.0597
Hence the probability that the sample mean will be Between 55 and 57 pounds is 0.0597
D)what is the probability that the sample mean will be Less than 53 pounds
Formula :
Substitute the values :
refer the z table
P(x<53)=0.3783
The probability that the sample mean will be Less than 53 pounds is 0.3783
E)what is the probability that the sample mean will be Less than 48 pounds
Formula :
Substitute the values :
refer the z table
P(x<48)=0.2358
The probability that the sample mean will be Less than 48 pounds is 0.2358