Answer:
At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
The null hypothesis is 
The alternative 
Here we would assume the level of significance of this test to be
Next we will obtain the critical value of the level of significance from the normal distribution table, the value is 
Generally the test statistics is mathematically represented as
substituting values
Looking at the value of t and 
we see that 
hence we fail to reject the null hypothesis
This means that there no sufficient evidence to conclude that it takes more than 60 hours to complete the course
So
At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.
Answer: Chuck can paint 65 posts per hour.
Step-by-step explanation:
The data we have here is:
Diana can paint 150 fence posts in a time T
Chuck can pint 130 fence posts in a time T.
In one hour, Diana can paint 10 more fence posts than Chuck.
If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:
D = 150/T
C = 130/T
D = C + 10
we can replace the last equation in the first one and geT:
C + 10 =150/T
C = 130/T
Now we can replace the bottom equation in the above one:
130/T + 10 = 150/T
10 = 150/T - 130/T = 20/T
T*10 = 20
T = 20/10 = 2
So T is 2 hours, then whe have:
D = 150post/2hours = 75 posts per hour.
C = 130 posts/2hours = 65 posts per hour.
Answer:
15 degrees
Step-by-step explanation:
Draw a horizontal segment approximately 4 inches long. Label the right endpoint A and the left endpoint C. Label the length of AC 4.2 meters. That is the horizontal distance between the eye and the blackboard.
At the right endpoint, A, draw a vertical segment going up, approximately 1 inch tall. Label the upper point E, for eye. Label segment EA 1 meter since the eye is 1 meter above ground.
At the left endpoint of the horizontal segment, point C, draw a vertical segment going up approximately 2 inches. Label the upper point B for blackboard. Connect points E and B. Draw one more segment. From point E, draw a horizontal segment to the left until it intersects the vertical segment BC. Label the point of intersection D.
The angle of elevation you want is angle BED.
The length of segment BC is 2.1 meters. The length of segment CD is 1 meter. That means that the length of segment BD is 1.1 meters.
To find the measure of angle BED, we can use the opposite leg and the adjacent leg and the inverse tangent function.
BD = 1.1 m
DE = 4.2 m
tan <BED = opp/adj
tan <BED = 1.1/4.2
m<BED = tan^-1 (1.1/4.2)
m<BED = 15
Answer: 15 degrees
Answer:
C. d = 24g
Step-by-step explanation:
The problem boils down to determining the ratio between d and g. That is, for some equation ...
d = k·g
we want to determine the value of k. Solving the equation for that value, we find ...
k = d/g
So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.
(gallons, miles) = (g, d) = (5, 120) is a suitable point
Then ...
k = d/g = 120/5 = 24
The equation is d = 24g.
