Answer:
![z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B35.6-35%7D%7B%5Cfrac%7B5%7D%7B%5Csqrt%7B280%7D%7D%7D%3D%202.007)
![p_v = P(z>2.007) = 0.0224](https://tex.z-dn.net/?f=%20p_v%20%3D%20P%28z%3E2.007%29%20%3D%200.0224)
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Step-by-step explanation:
We have the following info given:
represent the sampel mean for the age of customers
represent the population standard deviation
represent the sample size selected
We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:
Null hypothesis: ![\mu \leq 35](https://tex.z-dn.net/?f=%5Cmu%20%5Cleq%2035)
Alternative hypothesis ![\mu >35](https://tex.z-dn.net/?f=%5Cmu%20%3E35)
The statistic for this case is given by:
![z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B%5Cbar%20X%20-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And replacing the data given we got:
![z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B35.6-35%7D%7B%5Cfrac%7B5%7D%7B%5Csqrt%7B280%7D%7D%7D%3D%202.007)
We can calculate the p value since we are conducting a right tailed test like this:
![p_v = P(z>2.007) = 0.0224](https://tex.z-dn.net/?f=%20p_v%20%3D%20P%28z%3E2.007%29%20%3D%200.0224)
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
The answer is -6
because the triangle angles must measure to 180 and the scalene triangle states that the base angles add up to 86. Subtract 86 from 100, you get 94. Angle two is 94. 94-100=x
The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.
7) The given function that represents the speed of the pronghorn is
y = 60.78x - 5.4
Comparing this function with the general equation of a straight line
y = mx + c we can conclude that the slope of the function is 60.78 .
So the Pronghorn's rate of speed is 60.78 miles per hour.
8) Now the speed of the cheetah is given in the form of a table.
Let us take any two points on the graph
(0.5,21.85) and (2,118.60)
Slope of the line passing through these two points
= (118.6-21.85)/(2-0.5)
=64.5
So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.
9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.
To learn more about slope visit:
brainly.com/question/13281781
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In the X column put 1, 2, and 3
for the y column, plug in the 1, 2, or 3 into the X
for example, a) y=5x+3
x= 1, 2, 3 y=5(1)+3 = 8
y= 8, 13, 18
Answer:
d
Step-by-step explanation:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
a. 6000x (1 + 0.04/12)^24 = 6498.86
b. . 6000x (1 + 0.03/12)^36 =6564.31
c. . 6000x (1 + 0.01/12)^48 = 6244.76
d. . 6000x (1 + 0.05/12)^60 =6630.47