Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.
1 answer:
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Answer:
v / √5
Step-by-step explanation:
Solution:-
- We have a satellite of mass ( m ) that orbits the earth of mass ( M ). The radius of orbit is ( r ) : center of earth - to - center of satellite radial distance.
- The satellite orbits the Earth with constant tangent velocity ( v ). The velocity ( v ) is a function of massive body ( M ) about which the smaller body orbits and orbital radius ( r ).
- The formulation is given by:
Where,
G: The universal gravitational constant
- We are to compare the orbital speeds by changing some of the parameters in the above relation.
- The effect on the orbital speed ( v_orbit ) by increasing the orbital radius to ( 5r ) can be evaluated using the given relation. Such that:
- Now take the ratio of initial orbital speed to the increased orbital radius ( 5r ):
Answer:
We conclude that the population mean is not equal to 17.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 17
Sample mean, = 14.12
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 4
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) P-value can be calculated from the standard z-table.
P-value = 0.0000
c) Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17
d) Now,
e) Rejection Rule:
We reject the null hypothesis if it is less than lower critical value and greater than the upper critical value
If the z-statistic lies outside the acceptance region which is from -1.96 to +1.96, we reject the null hypothesis.
f) Since the calculated z-stat lies outside the acceptance region, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17.