The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score, we have
z-score = (x – μ) / (σ / √n)
where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Therefore, the answer is B.
Answer:
yes
Step-by-step explanation:
If you like, you can start with ...
y = x^2
which goes through points (-1, 1) and (1, 1).
You can scale it horizontally by a factor of 10 (so it is 20 units wide) by replacing x by x/10. And you can scale it vertically by a factor of 5 by multiplying the function by 5. Together, these scalings give ...
y = 5(x/10)^2 = (1/20)x^2
The leading coefficient can be written as 1/(4p) with p=5. This (p) is the distance from the vertex to the focus. Since we want the microphone to be located at the focus, it will be 5 inches from the bottom of the dish.
The y intercept is (0,3). The x intercept is (-9,0).
Hope this helps!
add all the numbers without a minus.
Answer:
(x - 8)² + (y + 2)² = 289
Step-by-step explanation:
Assuming you require the equation of the circle.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (8, - 2) and r = 17, thus
(x - 8)² + (y - (- 2))² = 17², that is
(x - 8)² + (y + 2)² = 289 ← equation of circle