A rectangular prism has a volume of 210 cubic meters. The length of the prism is 7 meters and the width is 6 meters. (Please hel
2 answers:
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slope intercept form is y=mx+b
So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days
(A) Lets make a table
X axis represents the Number of days paper used
y axis represents the packs of printer paper used
x y
days packs of printer paper used
0 0 (0 days , 0 packs used)
80 140 (in 80 days , 140 packs paper used)
The graph is attached below
(B) To find Equation of a line we use points (0,0) and (80,140)
y intecept is (0,0)
so b= 4
Slope intercept form of a line i y=mx + b
m is the slope and b is the y intercept
So slope intercept form of line becomes
Standard form is Ax + By =C
Multiply both sides by 4
4y = 7x
Now subtract 7x on both sides
-7x + 4y =0 is the standard form
(c) To find packs of printer paper the manager expect to have after 30 days, Plug in 30 for x and find out y
Total 140 packs of printer paper
52.5 packs of paper used
Packs of paper remaining after 30 days = 140- 52.5= 87.5
Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k
a) Probability that four parts are defective = 0.01374
P(4 defective) = (25 4) (0.04)^4 * (0.96)^21
P(4 defective) = 0.01374
b) Probability that at least one part is defective = 0.6396
Find the probability that 0 parts are defective and subtract that probability from 1.
P(0 defective) = (25 0) (0.04)^0 * (0.96)^25
P(0 defective) = 0.3604
1 - 0.3604 = 0.6396
c) Probability that 25 parts are defective = approximately 0
P(25 defective) = (25 25) (0.04)^25 * (0.96)^0
P(25 defective) = approximately 0
d) Probability that at most 1 part is defective = 0.7358
Find the probability that 0 and 1 parts are defective and add them together.
P(0 defective) = 0.3604 (from above)
P(1 defective) = (25 1) (0.04)^1 * (0.96)^24
P(1 defective) = 0.3754
P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358
e) Mean = 1 | Standard Deviation = 0.9798
mean = n * p
mean = 25 * 0.04 = 1
stdev =
stdev = = 0.9798
Hope this helps!! :)