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4 years ago

98points! PLEASE SHOW ALL STEPS Given the system of constraints, name all the vertices of the feasible region.

1 answer:

5 0

The lines y = x/3 + 3 and 5 = x+y intersect at (1.5,3.5)
So feasible region is bounded by the x-axis, the y-axis, the line from (0.3) to (1.5. 3.5), and the line from (1.5,3.5) to ((5,0). You should draw this so you can clearly see the feasible region. Now you need to evaluate = 6x-47 at each corner point of the feasible region.
The corner point that gives you the greatest value of C is the maximum value.

Hope that helps :)

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If the sin of angle x is 4/5 and the triangle was dilated to be two times big as the original, what would be the value of the di

Anon25 [30]

Given :

Sin x = 4/5

Using the rule of SOH CAH TOA,

we know that,

Sin x = opposite/Hypotenuse

So,

When the triangle is dilated, the opposite side will be dilated to 8 and the Hypotenuse will be dilated to to 10.

which means 4/5 will become 8/10

and hence,

8/10 after simplifying will be 4/5.Thus there is no change.

Hope this helped!

Brainliest is very much appreciated.

7 0

3 years ago

You are studying the water properties of a bog in eastern Wisconsin and wish to estimate its acidity. You de ne a grid that cove

GenaCL600 [577]

Answer:

$4.8-1.453\frac{1.3}{\sqrt{82}}=4.591$

$4.8+1.453\frac{1.3}{\sqrt{82}}=5.009$

So on this case the 85% confidence interval would be given by (4.591;5.009)

And we can conclude that the true mean for the acidity at 85% of confidence is between (4.591;5.009)

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)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=82-1=81$

Since the Confidence is 0.85 or 85%, the value of $\alpha=0.15$ and $\alpha/2 =0.075$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.075,81)".And we see that $t_{\alpha/2}=1.453$

Now we have everything in order to replace into formula (1):

$4.8-1.453\frac{1.3}{\sqrt{82}}=4.591$

$4.8+1.453\frac{1.3}{\sqrt{82}}=5.009$

So on this case the 85% confidence interval would be given by (4.591;5.009)

And we can conclude that the true mean for the acidity at 85% of confidence is between (4.591;5.009)

6 0

4 years ago

Read 2 more answers

Please help Me!!! I will try to give brainliest

iogann1982 [59]

9514 1404 393

Answer:

D. 30

Step-by-step explanation:

3 3/4 inches on the map is 15/4 inches = 15×(1/4 inch).

Then the actual distance is 15×(2 miles) = 30 miles.

6 0

3 years ago

Read 2 more answers

As a salesperson you get $53/day and $3.75/ each sal you make. If you want to make at least $128 in one day, how many sales woul

storchak [24]

Answer:

c 20

Step-by-step explanation:

You make 53 a day plus 3.75 per sale

Income = 53+ 3.75 s

You want to make at least 128

128 ≤ 53+ 3.75 s

Subtract 53 from each side

128 -53 ≤ 53-53 +3.75s

75≤ 3.75s

Divide by 3.75 on each side

75/3.75≤ 3.75s/3.75

20 ≤ s

You must make at least 20 sales

7 0

4 years ago

Convert 15°C to Fahrenheit. Use the formula F = C + 32

Marta_Voda [28]

Using the equation given, F = 15 + 32 which equals 47, so I don't see how any of the choices are accurate, but if I had used the proper equation, I would get 59 Farenheit or answer D!

Hope this helps, if not, comment below please!!!

3 0

3 years ago