Yeah I'm pretty sure that's the simplest form
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
Answer:
The difference between the given two expression as - 19 w - 3 .
Step-by-step explanation:
Given algebraic expression as
- 14 w - 3 and 5 w
Now, Let the difference between the given two expression = x
or, x = ( - 14 w - 3 ) - 5 w
or , x = - 14 w - 5 w -3
or, x = w ( - 14 - 5 ) - 3
Or, x = -19 × w - 3
∴ x = -19 w -3
So, The difference is - 19 w - 3
Hence The difference between the given two expression as - 19 w - 3 . Answer
Answer:
b = 23
Step-by-step explanation:
46/b = 2
Multiply both sides by b.
46 = 2b
Divide both sides by 2.
b = 23.
Proof:
46/b = 2
Substitute value.
46/23 = 2
Divide.
2 = 2.
9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12
Since 12² = 144, it follows that <em>x</em> = 1/2.
That is,
144ˣ = 12
(12²)ˣ = 12
12²ˣ = 12
log₁₂(12²ˣ) = log₁₂(12)
2<em>x</em> log₁₂(12) = log₁₂(12)
2<em>x</em> = 1
<em>x</em> = 1/2
