Curtis bought a skateboard which he later sold at a 30% loss for £14. How much did Curtis pay for
1 answer:
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Answer:
a)
b) 3,624.25 pounds
Step-by-step explanation:
a)
Since 4300/25 = 172, in average every single person should weight 172 pounds to exceed the design limit.
The probability that one person weights 172 pounds or more is the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of 172.
<em>In Excel and OpenOffice Calc, this value is found with the formula </em>
<em>=1-NORMDIST(172;160;30;1) </em>
<em> (NORMDIST(172;160;30;1) gives the area to the left of 172, so 1-NORMDIST(172;160;30;1) gives the area to the right of 172) </em>
and equals 0.3446
(see picture 1)
Hence, the probability that all the 25 people exceeds 172 pounds equals
b)
Similarly, we must find a weight w such that if p is the area to the left of w, then
so
w would be the point such that the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of w equals 0.6918.
<em>In Excel and OpenOffice Calc this is found with </em>
<em>=NORMINV(1-0.6918;160;30) </em>
and equals 144.97 pounds
(See picture 2)
and the design limit that is exceeded by 25 occupants with probability 0.0001 is 25*144.97 = 3,624.25 pounds
Answer:
Step-by-step explanation:
Answer:
Third option: The graph moves left 18 units.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If , the function is shifted up "k" units.
If , the function is shifted down "k" units.
If , the function is shifted left "k" units.
If , the function is shifted right "k" units.
In this case, we can observe that graph of is changed to
Since:
We can conclude that the function is shifted left 18 units to get the function
.