Answer:
-1/32.
Step-by-step explanation:
(-1/2)^3 * (-1/2)^2
= -1/8 * 1/4
= -1/32.
Red to yellow.......7:3....added = 10
so 7/10 of the total students wore red and 3/10 of the total students wore yellow
and there are 300 total students...
7/10(300) = 2100/10 = 210 wore red
3/10(300) = 900/10 = 90 wore yellow
how many more wore red.....(210 - 90) = 120 more students wore red then yellow
Answer:
Step-by-step explanation:
In physics, that's the mass-energy equivalence.
In order to add the fractions, we need to create complex fractions with a Least Common Denominator (LCD).
The LCD between 9 and 2 is 18
3 1/2 = 3(18/18) + 9/18 = 54/18 + 9/18 = 63/18
3/9 = 6/18
So now we can solve...
3 1/2 + 3/9 is the same as 63/18 + 6/18 = 69/18 = 3 5/6 which is none of the given answers.
Answer:
Step-by-step explanation:
Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the distance travelled.
µ = mean distance
σ = standard deviation
From the information given,
µ = 50 miles
σ = 8 miles
A) P(x > 53) = 1 - P(x ≤ 53)
For x = 53,
z = (53 - 50)/8 = 0.38
Looking at the normal distribution table, the probability value corresponding to the z score is 0.648
B) P(x < 42)
For x = 42
z = (42 - 50)/8 = - 1
Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587
C) P(44 ≤ x ≤ 53)
For x = 44
z = (44 - 50)/8 = - 0.75
Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266
For x = 55,
z = (55 - 50)/8 = 0.63
Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357
Therefore,
P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091
