Answer:
Slope is undefined
Step-by-step explanation:
Slope is calculated by
so now you put the points (-10,4) and (-10,8) into that.
Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
![z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5Cwhere%5C%20x%3Draw%5C%20score%2C%5Cmu%3Dmean%5C%20and%5C%20%5Csigma%3Dstandard%5C%20deviation%20%5C%5C%5C%5CFor%5C%20a%5C%20sample%5C%20size%5C%20n%3A%20%5C%5C%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%20%7D)
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
![z=\frac{100000-72641}{30000}=0.91](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B100000-72641%7D%7B30000%7D%3D0.91)
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
![z=\frac{100000-72641}{30000/\sqrt{5} }=2.04](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B100000-72641%7D%7B30000%2F%5Csqrt%7B5%7D%20%7D%3D2.04)
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
![z=\frac{100000-72641}{30000/\sqrt{10} }=2.88](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B100000-72641%7D%7B30000%2F%5Csqrt%7B10%7D%20%7D%3D2.88)
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
75
Reduction of 12
3 x 4 = 12
Increase of 10
5 x 2 = 10
75 - 12 = 63
63 + 10 = 73
Change = 2 inches (75 - 73)
Answer:
30 bacteria
Step-by-step explanation: