Answer: 139
Step-by-step explanation:
As per given , we have
The amount of caffeine per cup is ranging from 60-180 mg.
Range = Maximum - Minimum = 180 -60 =12
According to Range -rule ,
Standard deviation = ![s\approx\dfrac{Range}{4}=\dfrac{120}{4}=30](https://tex.z-dn.net/?f=s%5Capprox%5Cdfrac%7BRange%7D%7B4%7D%3D%5Cdfrac%7B120%7D%7B4%7D%3D30)
Formula for sample size :
, where z* is critical z value and E is margin of error.
By z-table , the critical z-value for 95% confidence interval = 1.96
E= 5
Put all values in formula , we get
![n=(\dfrac{(1.96)\times 30}{5})^2=138.2976\approx139](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7B%281.96%29%5Ctimes%2030%7D%7B5%7D%29%5E2%3D138.2976%5Capprox139)
Hence, 139 cups of coffee would have be included in the sample.
If there are options can you provide them please!
The answer is <span>subsistence farming you welcome </span>
Answer:
One rose bush costs $6
One pot of ivy costs $5
Step-by-step explanation:
Set up an equation:
Variable x = cost of rose bushes
Variable y = cost of pots of ivy
3x + 3y = 33
12x + 4y = 92
I will use substitution to first solve for x:
3y = 33 - 3x
Divide both sides by 3
y = 11 - x
Substitute y value for 11 - x:
12x + 4(11 - x) = 92
Use distributive property
12x + 44 - 4x = 92
Combine like terms
8x + 44 = 92
8x = 48
Divide both sides by 8
x = 6
Solve for y by plugging in 6 for the x value:
3(6) + 3y = 33
18 + 3y = 33
3y = 15
Divide both sides by 3
y = 5
Check work:
3(6) + 3(5) = 33
18 + 15 = 33
33 = 33
Correct