Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Scale :
Map 1 : Actual
1 cm : 2 km
1 cm : 200 000 cm | Convert 2km to 200 000cm
Answer: The scale is 1 : 200 000
Map 1 : Actual
1 cm : 200 000 cm
(x8) : (x8)
8 cm : 1 600 000cm
1 600 000 cm = 16 km
Answer: The length of the actual trail is 16 km
Map 1 : Map 2
8cm : 6cm
1cm : 0.75 cm
Answer : The scale is 1 : 0.75
Map 1 : Map 2
1 : 0.075
3mm : 0.075 x 3 = 0.225mm
4mm : 0.075 x 4 = 0.3 mm
5mm : 0.075 x 5 = 0.375 mm
Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm
Answer:
-8
Step-by-step explanation:
what do you think, when you look at the examples given in the problem definition ?
don't you see the pattern, that f(x) = x+2 ?
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
so, if we follow this assumption, then
f(-10) = -10 + 2 = -8
Answer:
Table c mate
Step-by-step explanation:
D-7<span>≤ 3
add 7 to both sides
d</span><span>≤10</span>