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3 years ago

Write the equation for a line that passes through the origin and is parallel to x + y = 6

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

Y=6-x I believe it would be I hope this helps

Studentka2010 [4]3 years ago

4 0

X=-y+6 and two points it passes on the graph are (0,6) and (6,0)

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The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?

nadezda [96]

The width is 3m because 3*7 is 21m^2. Also they said the length is 4 more than the width (3+4=7)

7 0

3 years ago

The high price of medicines is a source of major expense for those seniors in the United States who have to pay for these medici

Ilia_Sergeevich [38]

Answer:

$4600-1.646\frac{800}{\sqrt{1800}}=4568.96$

$4600+1.646\frac{800}{\sqrt{1800}}=4631.04$

We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)

Step-by-step explanation:

Information given

$\bar X=4600$ represent the sample mean for the amount spent on medicines

$\mu$ population mean

s=800 represent the sample standard deviation

n=1800 represent the sample size

Solution

The confidence interval for the true population mean is given by:

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

We can calculate the degrees of freedom with:

$df=n-1=1800-1=1799$

We know that the Confidence level is 0.90 or 90%, the value of significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,1799)".And we see that $t_{\alpha/2}=1.646$

Replcing in the formula for the confidence interval we got:

$4600-1.646\frac{800}{\sqrt{1800}}=4568.96$

$4600+1.646\frac{800}{\sqrt{1800}}=4631.04$

We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)

6 0

3 years ago

A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It deci

WINSTONCH [101]

Answer:

Minimize: Cost = 40X+35Y

Subject to: 2X + 2Y ≥ 12

5X + 3Y ≥ 15

Step-by-step explanation:

To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.

So, the variables of decision are the quantity of every vitamin mix and we are going to call:

X: The quantity of vitamin mix 1

Y: The quantity of vitamin mix 2

Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:

Minimize Cost = 40X + 35Y

Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35

Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.

Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:

2X + 2Y ≥ 12

And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:

5X + 3Y ≥ 15

So, the linear programing model is:

Minimize: Cost = 40X+35Y

Subject to: 2X + 2Y ≥ 12

5X + 3Y ≥ 15

7 0

3 years ago

Please help meeeeeeee

UNO [17]

Answer - N=2 . Solve for n by simplifying both sides of the equation then isolating the variable.

4 0

3 years ago

What is 5/12 times 3 in multiply fractions

katrin [286]

Hey there

5/12 times 3 = 5/4
5/4 is an improper fraction
so it is changed to <span>= 1 1/4</span>

The answer is 1 1/4

hope this helps you

4 0

3 years ago

Read 2 more answers