What is the surface area
1 answer:
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The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
Answer:
Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .
Step-by-step explanation:
We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
Also, a sample of four metal sheets is randomly selected from a batch.
Let X bar = Average length of a sheet
The z score probability distribution for average length is given by;
Z = ~ N(0,1)
where, = population mean = 30.05 inches
= standard deviation = 0.2 inches
n = sample of sheets = 4
So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)
P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)
P(X bar < 30.35) = P( <
) = P(Z < 3) = 0.99865
P(X bar <= 30.25) = P( <=
) = P(Z <= 2) = 0.97725
Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725
= 0.0214