Answer: the probability that a truck drives between 166 and 177 miles in a day is 0.0187
Step-by-step explanation:
Since mileage of trucks per day is distributed normally, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = mileage of truck
µ = mean mileage
σ = standard deviation
From the information given,
µ = 100 miles per day
σ = 37 miles miles per day
The probability that a truck drives between 166 and 177 miles in a day is expressed as
P(166 ≤ x ≤ 177)
For x = 166
z = (166 - 100)/37 = 1.78
Looking at the normal distribution table, the probability corresponding to the z score is 0.9625
For x = 177
z = (177 - 100)/37 = 2.08
Looking at the normal distribution table, the probability corresponding to the z score is 0.9812
Therefore,
P(166 ≤ x ≤ 177) = 0.9812 - 0.9625 = 0.0187
<em>Here, I'll show you simple steps.
As we know, Percentage=(value</em>×<em>100)/total value
</em><em>So, to get reversed the main value from given percentage and total value.
</em>
<em></em>∴Value×100=Percentage×total value
∴Value = (Percentage×total value)/100
Answer:
1/12
Step-by-step explanation:
Let us begin by identifying all sample spaces
Sample space for coin =2
Sample space for spinner = 2
Sample space for die= 6
Total sample space S= 10
1. Probability that the coin will show tails, is = 1/2
2. Probability that the spinner will land on yellow or green, is
=1/2+1/2= 1
3. Probability that the cube will
show a three.= 1/6
Hence for this event that Fred carried out the probability is
1/2*1*1/6= 1/12
This expression is in the form of a quadratic
Y=2/3x+7 would be slope intercept form
