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3 years ago

1. How do you graph the solution set to a system of linear inequalities in two variables?

1 answer:

4 0

I can answer #2
No solution: The lines on the graph would show up as parallell
One Solution: The lines on the graph would have one meeting point
Infinitely many solutions: The lines would be overlapping each other
Hope this helps :)

You might be interested in

Pythagorean theorem: Manuel purchases a rectangular picture

san4es73 [151]

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

8 0

3 years ago

Geometry Help Please!!

Maru [420]

We know that the lengths of the two smaller sides have to be more than the third side when they are added together

The third side couldn't be 2 or 3 because 9 (7+2) or 10 (7+3) are not less than 10

The third side couldn't be 17 or 18 because 17 (7+10) is not larger than 17 or 18

The correct answer is C. 4 works because 7+4=11 or more than 10. 16 works because 7+10=17 is more than 16

Hope this helps

8 0

3 years ago

Dean invested $1100 into a bond. When the bond's maturity date was reached five

Oksanka [162]

Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

7 0

3 years ago

Suppose the method of tree ring dating gave the following dates A.D. for an archaeological excavation site. Please show your wor

natita [175]

Answer:

a) $\bar X=\frac{1245+1245+1321+1191+1295+1330+1239+1250+1228}{9}= 1260.444$

b) $s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got:

$s = 45.580$

c) For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.

d) $1260.444-2.306 \frac{45.580}{\sqrt{9}}= 1225.408$

$1260.444+2.306 \frac{45.580}{\sqrt{9}}= 1295.480$

Step-by-step explanation:

For this case we ave the following data:

1245 1245 1321 1191 1295 1330 1239 1250 1228

Part a

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X= \frac{1245+1245+1321+1191+1295+1330+1239+1250+1228}{9}= 1260.444$

Part b

For this case we can use the following formula in order to find the sample standard deviation:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got:

$s = 45.580$

Part c

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".

For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.

Part d

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

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

We need to find the degrees of freedom given by:

$df = n-1 = 9-1=8$

Since the Confidence is 0.95 or 95%, the value of $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that $t_{\alpha/2}=2.306$

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

$1260.444-2.306 \frac{45.580}{\sqrt{9}}= 1225.408$

$1260.444+2.306 \frac{45.580}{\sqrt{9}}= 1295.480$

8 0

4 years ago

Milt built a prism using a 3 unit cubes. He adds two more layers of 3 unit cubes each.how many unit cubes are used for the prism

Scorpion4ik [409]

We know that
1) Milt built a prism using a 3 unit cubes
total unit cubes is 3

2) He adds two more layers of 3 unit cubes each
total unit cubes=3+2*3----> 9 unit cubes

the answer is
9 units cubes

3 0

3 years ago