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Elza [17]
3 years ago
13

juanita makes leather lanyards to sell she charges a base fee and a cost per inch of the finished lanyard. the line shows the co

st y for x inches of lanyard
Mathematics
1 answer:
nordsb [41]3 years ago
3 0

Complete Question:

Juanita makes leather lanyards to sell. She

charges a base fee and a cost per inch of

the finished lanyard. The line shows the

cost y for x inches of lanyard. Write an

equation for the line in slope-intercept

form.

*See attachement for the graph given

Answer:

y = ½x + 5

Step-by-step explanation:

Equation in slope-intercept takes the following form, y = mx + b

m = slope = change in y/change in x

b = y-intercept

Let's find m and b using the graph given

✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):

Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2

Slope (m) = ½

✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,

b = 5

✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:

y = ½x + 5

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Slope-intercept form. need help!
belka [17]

Answer:

y=mx+b

Step-by-step explanation:

4 0
3 years ago
The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si
Novay_Z [31]

Answer:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)  

\sigma=0.05 represent the population standard deviation  

n represent the sample size (variable of interest)  

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

7 0
3 years ago
Determine an exact value for sin _<br> 3π/4-tan 5π/6
iris [78.8K]

Answer:

\frac{3\sqrt{2}+2\sqrt{3}}{6} or \frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}

Step-by-step explanation:

\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}

6 0
2 years ago
Use the graph to find the value of y = sin theta for the value of theta.
zimovet [89]

Answer:

y ≈ 0.7

Step-by-step explanation:

locate \frac{\pi }{4} on the x-axis, move up the vertical line until meeting the graph then the horizontal reading gives y ≈ 0.7


7 0
2 years ago
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Kamila [148]
The answer is:
 Solve for y in the first equation
y=−5<span>
y=8−<span>x
</span></span>
<span>Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is <span>−5</span></span><span>y=−5</span><span><span>(−5)</span>=8−<span>x
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Remove parentheses.<span>y=−5</span><span>−5=8−<span>x
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Solve for x in the second equation.<span>y=−5</span>
<span>x=13</span>
The answer is <span>(13,−5<span>)            Please mark as Brainliest
</span></span>



5 0
3 years ago
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