Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
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B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
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C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
Answer:
a) 68%; b) 99.5%
Step-by-step explanation:
The empirical rule states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.
For part a,
We are asked the approximate percentage of women whose platelet counts are within 1 standard deviation of the mean. According to the empirical rule, this is 68%.
For part b,
We are given the endpoints of the interval. The lower endpoint is 181.5; this is 250.8-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is 2 standard deviations away from the mean.
The higher endpoint is 320.1; this is 320.1-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is standard deviations away from the mean.
This means this interval includes about 95% of women.
Let us assume that the first company the cab flat rate is 5$ and the cap driver charges 2$ per mile .for the second company the cab flat rate is 3$ and the cab driver charges 3$ per mile.
a. the company charges per ride at least 5$ and an extra 2$ per mile
b.the equation we will choose is slope intercept since we know the
y-intercept which is the cab flat rate .
y=mx+b
where
m :is the slope
b:is the y-intercept
y:total amount
x. is the milage
total amount=2x+5.
c.the slope will be 2$ which is the change in amount per mile.the y-intercept will be the cab's flat rate.