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loris [4]
4 years ago
6

Which equation represents the line show

Mathematics
2 answers:
xxMikexx [17]4 years ago
8 0
It's the 3rd one
w=3z+2

because if z=0
w=3×0 +2= 0+2 =2
and if z=1
w=3×1 +2 = 3+2=5
vichka [17]4 years ago
3 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the point (0, 2). Therefore we have y-intercept 2 → b = 2.

The equation of the line is: w = mz + 2.

We have next point (1, 5). Substitute the coordinates of the point to the equation of the line:

5=1m+2      <em>subtract 2 from both sides</em>

3=m\to m=3

<h3>Answer: w = 3z + 2</h3>
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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

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4 years ago
The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown popula
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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 \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.5 = 0.9, so z = 1.282

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

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

M = 1.282*\frac{6}{\sqrt{21}} = 1.68

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.

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3 years ago
A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $280. A second purchase, at the same prices, includ
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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

Learn more about equation:

brainly.com/question/2972832

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