Hello!
You first find out how many objects there are in total
4 + 9 + 3 = 16
Then you find the probability of Liliana picking a orange
Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange
Next you find the probability of Liliana picking a pear
There are 3 pears and 16 items to pick so she has a 3/16 chance
Then you add them together to find the chance of either happening
4/16 + 3/16 = 7/16
So she has a 7 out of 16 chance of getting an orange or a pear
The answer is 7/16
Hope this helps!
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
![CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack](https://tex.z-dn.net/?f=CI%28%5Cmu%29%3D%5Clbrack%20x-Z_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D%2Cx%2BZ_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D%5Crbrack)
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
![CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack](https://tex.z-dn.net/?f=CI%28%5Cmu%29%3D%5Clbrack30.0-Z_%7B0.99%7D%5Ccdot%5Cfrac%7B2.40%7D%7B%5Csqrt%5B%5D%7B28%7D%7D%2C30.0%2BZ_%7B0.99%7D%5Ccdot%5Cfrac%7B2.40%7D%7B%5Csqrt%5B%5D%7B28%7D%7D%5Crbrack)
Where (from tables):
Finally, the interval at 98% confidence level is:
Answer:
Step-by-step explanation:
56y^2/9-30y+25
Hey there!
To start, first set up your expression like this:
(5x+17)-(3x-4)
You must set up your expression like this since in subtraction, order matters and the problem asks for the difference between the first plant and the second plant, respectively, meaning you must follow in this order.
Now, simplify:
(5x+17)-(3x-4)
(5x+17)+(-3x+4)
2x+21
Therefore, the difference the two companies would be 2x+21.
