It can be written as 15∧7/4
Answer:
Danny
Step-by-step explanation:
danny has a better offer
Answer:
a
The null hypothesis is
The alternative hypothesis is ![H_a : \mu < 32.48](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%20%3C%20%2032.48)
b
![t = -1.504](https://tex.z-dn.net/?f=t%20%20%3D%20%20-1.504)
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is ![\mu = \$ 32.48](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%5C%24%2032.48)
The sample size is n = 56
The sample mean is ![\= x = \$30.15](https://tex.z-dn.net/?f=%5C%3D%20%20x%20%20%3D%20%20%5C%2430.15)
The standard deviation is ![\sigma = \$12](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%20%5C%2412)
The null hypothesis is
The alternative hypothesis is ![H_a : \mu < 32.48](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%20%3C%20%2032.48)
Generally the test statistic is mathematically represented as
![t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%5C%3D%20x%20%20-%20%5Cmu%20%7D%7B%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
=> ![t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B30.15%20%20-%2032.48%20%7D%7B%5Cfrac%7B12%20%7D%7B%5Csqrt%7B60%7D%20%7D%20%7D)
=> ![t = -1.504](https://tex.z-dn.net/?f=t%20%20%3D%20%20-1.504)
Generally the p-value is mathematically represented as
![p-value = P (t < -1.504 )](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%20%28t%20%3C%20-1.504%20%29)
From the z-table
![P(t < -1.504) = 0.066291](https://tex.z-dn.net/?f=P%28t%20%3C%20%20-1.504%29%20%3D%20%20%200.066291)
So
![p-value = 0.066291](https://tex.z-dn.net/?f=p-value%20%20%3D%200.066291%20)
From the value we obtain we see that
![p -value > \alpha](https://tex.z-dn.net/?f=p%20-value%20%20%3E%20%20%5Calpha)
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Answer:
Perimeter and area of drawing
Perimeter= 10 In
Area = 6.25 In²
Perimeter and area of object
Perimeter = 51.836 mm
Area = 167.936 mm²
Step-by-step explanation:
We are dealing with a square object, so let's talk about the drawing first.
The length of one side = 2.5 In
Perimeter of square= 4L
Perimeter = 4*2.5
Perimeter= 10 In
Area = L*L
Area = 2.5*2.5
Area = 6.25 In²
Letd note that 1 inch =
25.4 millimetres
So 2.5 Inch = 2.5 * 25.4
2.5 In = 63.5 mm.
25.4 mm is to 5mm
63.5 mm is to (63.5*5)/24.5
63.5mm is to 12.959 mm
So the length of actual object is 12.959mm
The perimeter = 4*12.959
Perimeter = 51.836 mm
Area = 12.959²
Area = 167.936 mm²