Answer:
There is a 25.14% probability that the order will not be met during a month.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \mu and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
.
The order will not be met if 
. So we find the pvalue of Z when 
, and subtract 1 by this value.
has a pvalue of 0.7486.
So there is a 1 - 0.7486 = 0.2514 = 25.14% probability that the order will not be met during a month.
3 buses x 42 = 126... So the final bus will carry 155-126=29 students.... Mental Math.
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
Answer:
63.25sqft
Step-by-step explanation:
semi circle:
a=
r^2
a=(5)^2 (radius is 5 bc diameter is 10 so you divide it by 2)
a=25
a=78.5/2=39.25 (divide by 2 bc its a semi circle)
triangle:
a=1/2bh
a=1/2(6x8)
a=1/2(48)
a=24
area:
39.25+24=63.25
Answer:
D
Step-by-step explanation:
40x - 8y + 24 = 0
-8y = -40x - 24
y = 5x + 3
