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3 years ago

What is the solution to the system of equations represented by these two lines?

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

The answer for this question is C because 3 is x value and 1 is y and x rises and 1 goes right

jeka943 years ago

4 0

The answer for this is a

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

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 $1-0.025 = 0.975$ , so $z = 1.96$

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.

$M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064$

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0

3 years ago

Find an equation for the line

makkiz [27]

Answer:

2/5

Step-by-step explanation:

move down 2, and over 5, you get the next point

6 0

4 years ago

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?(1) |x| = y = 10(2) x = |y| = 1

Elanso [62]

Answer:

$10|y|$

Step-by-step explanation:

We have been given that the vertices of a triangle are A (5, 0), B (x, y) and C (25, 0). We are asked to find the area of the given triangle.

We will use area formula for triangle with vertices A, B and C as given below:

$|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|$

Upon substituting the given coordinates of points A, B and C in above formula, we will get:

$|\frac{5(y-0)+x(0-0)+25(0-y)}{2}|$

$|\frac{5(y)+x(0)+25(-y)}{2}|$

$|\frac{5y+0-25y}{2}|$

$|\frac{-20y}{2}|$

$|-10y|$

$10|y|$

Therefore, the area of the given triangle would be $10|y|$ .

4 0

3 years ago

Darlene's dog weighed 5 times as much as Leah's Dog.Together,the dogs weighed 84 pounds. How much did each dog weigh?Write an eq

Triss [41]

Let d = Darlene's dog's weight
let l = Leah's dog's weight
d = 5l
d + l = 84
so, 5l + l = 84, which means 6l= 84
so, l = 84/6 = 14d = 5(14) = 70
<span>Darlene's dog = 70 lbs, Leah's dog = 14 lbs</span>

7 0

3 years ago

A rectangular field is eight times as long as it is wide. If the perimeter of the field is 900 feet, what are the dimensions of

Bas_tet [7]

Answer:

400 feet long

50 feet wide

Step-by-step explanation:

Length = l

Width = w

2l + 2w = 900

l = 8w

Plug the l from the bottom equation into the top equation

2 x 8w+ 2w = 900

16w = 900

Divide both sides by 16

16w/16 = 900/16

w = 50

The width is 50 feet

Now plug the new w into one of the original equations; we'll use the bottom one

l = 8(50)

l = 400

3 0

3 years ago