Answer:
a) the probability that Company A will get the discount is 0
b) the probability that Company B will get the discount is 0.2753
c) the probability that Company C will get the discount is 0.9986
Step-by-step explanation:
a) Let p(m) be the <em>minimum</em> proportion of workers needed at Company A who use public transportation to get to work in order the company can get discount offer by the transit authority.
Then ≈ 0.1031
The probability that Company A will get the discount can be stated as
P(z>z*) (p-value of z*) where z* is the z-score of 0.103 in the distribution of proportion of workers in the city who use public transportation to get to work.
z* can be calculated using the equation
where
- p(m) is the minimum proportion needed for company A get discount (0.1031)
- p is the proportion of workers in the city who use public transportation to get to work (0.05)
- N is the number of employees of Company A (291)
Then z*= ≈ 4.15
P(z>4.15)=1-P(z<4.15)=1-1=0
b) for Company B:
≈ 0.0556
z*= ≈ 0.597
P(z>0.597)=1-P(z<0.597)= 1-0.7247=0.2753
c) for Company C:
≈ 0.0296
z*= ≈ -2.979
P(z>-2.979)=1-P(z<-2.979)=1-0.0014=0.9986
Step-by-step explanation:
Area <em>of</em><em> </em><em>parallelo</em><em>gram</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>base</em><em> </em><em>)</em><em> </em><em>(</em><em> </em><em>height</em><em> </em><em>)</em><em> </em>
<em>area</em><em> </em><em>of</em><em> </em><em>parall</em><em>elogram</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>2</em><em>.</em><em>9</em><em> </em><em>ft</em><em> </em><em>)</em><em> </em><em>(</em><em> </em><em>5</em><em>.</em><em>5</em><em> </em><em>ft</em><em> </em><em>)</em><em> </em>
<em>(</em><em> </em><em>as</em><em> </em><em>given</em><em> </em><em>)</em>
<em>area</em><em> </em><em>of</em><em> </em><em>parallelogram</em><em> </em><em>=</em><em>1</em><em>5</em><em>.</em><em>9</em><em>5</em><em> </em><em>ft²</em><em> </em>
Answer:
D. 3x² - x - 6
Step-by-step explanation:
If f(x) = 3x² - 4 and g(x)= x+2, find .
We know that (f - g)(x) = f(x) - g(x)
Then
(f - g)(x) = (3x² - 4) - (x+2)
= 3x² - 4 - x - 2
= 3x² - x - 4 - 2
= 3x² - x - 6
Answer: 6.75% which rounds up to 7%
Step-by-step explanation:
To find the average speed for the whole race, you just have
to add the speed from a starting marker and the speed from the turnaround
marker going back and divide it by 2 since there are only two speeds involved.
10 m/s + 16m/s = 26 m/s / 2 = 13 m/s
Therefore, the average speed for the whole race is 13 m/s.