Answer:
S= 750t
Step-by-step explanation:
If Clark travels 750 feet in 2 minutes then Clark's speed can be represented by the equation distance × time
Hence equation for the relationship between distance traveled by Clark and time will be given by
S= dt
=S=750t
Where S= Clark's speed, d = Clark's distance and t = Clark's time
In a coordinate plane (2 dimensions), two lines are parallel or perpendicular or the same line. In three dimensions, the lines are parallel or perpendicular or skew. Two straight lines never intersect at more than one point.
Answer:
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Step-by-step explanation:
We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.
The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.
<h3>How to solve simultaneous equation?</h3>
let
- cost of redwood = x
- cost of pine = y
50x + 70y = 280
100x + 60y = 440
Multiply (1) by 2
100x + 140y = 560
100x + 60y = 440
subtract to eliminate x
80y = 120
y = 120/80
y = $1.5
substitute y = 1.5 into (1)
50x + 70y = 280
50x + 70(1.5) = 280
50x + 105 = 280
50x = 280 - 105
50x = 175
x = 175 / 50
x = $3.5
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