Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
b= -4.68
Step-by-step explanation:
Hello!
We have to study variables:
Y: Monthly coffe sales
X: Price per pound of coffe ($)
The estimate regression line is
^Yi= a + bxi ∀ (i=1,.....,10)
The slope of the estimated regression line is represented by b.
The formula I'll use to calculate it is:
b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²
To calculate b we need to do some auxiliary calculations:
∑xiyi= 4213.15
∑xi= 87.47
∑yi= 545
∑xi²= 883.3703
Then we replace the formula:
b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²
b= -4.68
I hope you have a SUPER day!
Answer:
41.67 % ( to 2 dec. places )
Step-by-step explanation:
Since 2 dozen cookies were baked, that is 24 and 14 were left.
Then 10 were eaten.
Calculate the percentage eaten as
percentage =
× 100%
percentage eaten =
× 100% ≈41.67%
Step-by-step explanation:
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Answer:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 542, \pi = \frac{301}{542} = 0.555](https://tex.z-dn.net/?f=n%20%3D%20542%2C%20%5Cpi%20%3D%20%5Cfrac%7B301%7D%7B542%7D%20%3D%200.555)
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 - 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.52](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.555%20-%201.645%5Csqrt%7B%5Cfrac%7B0.555%2A0.445%7D%7B542%7D%7D%20%3D%200.52)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 + 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.59](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.555%20%2B%201.645%5Csqrt%7B%5Cfrac%7B0.555%2A0.445%7D%7B542%7D%7D%20%3D%200.59)
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).