Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)
The slope represent the speed of the airplane
so
The linear equation is
Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
2.99
2 is a whole number
0.99 = 99/100
your fraction is:
mixed number = 2 99/100
improper fraction = 299/100 (multiply whole number to denominator & then add numerator)
hope this helps
Answer:
Step-by-step explanation:
Given that:
Population Mean = 7.1
sample size = 24
Sample mean = 7.3
Standard deviation = 1.0
Level of significance = 0.025
The null hypothesis:
The alternative hypothesis:
This test is right-tailed.
Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test 
The test statistics can be computed as:
t = 0.980
Decision rule:
Since the calculated value of t is lesser than, i.e t = 0.980 < , then we do not reject the null hypothesis.
Conclusion:
We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.
Answer:
Step-by-step explanation:
GH bisects ∠FGI
∠HGI = ∠HGF
4x - 14 = 3x - 3
4x = 3x - 3 + 14 {Add 14 to both sides}
4x = 3x + 11 {Subtract 3x from both sides}
4x - 3x = 11
x = 11
∠HGI = 4x - 14
= 4*11 - 14
= 44 - 14
= 30°
∠FGI = 30 + 30
= 60°
To find the volume of a cone use this formula:
V =
V≈167.55
