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RUDIKE [14]
3 years ago
11

The lines y=x+1 and y=-x-3 are graphed. What is the solution to the system? Please help

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer: (-2, -1)

Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the <em>x</em> and <em>y</em> that is the solution to this system of equations.

The two lines intersect in quadrant III

where <em>x</em> and <em>y</em> are both negative.

When finding the coordinates of a given point,

be very careful with your signs.

Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.

So to find the coordinates for this point, we start at the origin.

Then we move to the left 2 and down 1 so that's (-2, -1).

So the solution to this system is (-2, -1).

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Interpret the interval. We are 95% confident that the true average blood lead level for male workers is greater than that of fem
Usimov [2.4K]

Answer:

Step-by-step explanation:

There are key notes here

- *95% confidence or 95% confidence interval*

This is a popular percentage used in finding a statistic (a statistic is a parameter or measure which has values). A 95% confidence interval for a parameter is a wide range of values within which the specific value of the statistic you're testing should lie or does lie. Remember that a range is an interval from a certain value to a higher value e.g. a range of/from (8 - 18). If the parameter you're testing is the mean (the numerical average of a group) for example and that is your range then it means that you are 95% certain (almost completely or almost 100% certain) that the population mean lies within that interval. In the case of this question, there are no numerical values for the mean (average)

- *true average*

True average means the true mean value for the population

- *an amount within the confidence interval*

In this case, we're comparing the mean/average for male workers and female workers so DIFFERENCE IN MEANS is the actual statistic we are looking at here. So, for (A)

(A) We are 95% confident that the difference in mean of blood lead level in male workers and female workers is an amount or value that lies within the confidence interval created

(B) Same as (A) above BUT here, we're testing that (our hypothesis is) the true mean blood lead level for male workers is LESS THAN that of female workers.

(C) If a conclusion cannot be drawn from the statistical information given, that means we can't find an accurate cause-and-effect relationship between the independent variable(s) and dependent variable(s)

(D) Here, our hypothesis (what we are testing or what we seek to know) is whether the true mean blood lead level for male workers is GREATER THAN that of female workers. Next, we are using a 95% confidence interval. Now, the DIFFERENCE IN MEANS which is what we are measuring falls outside the confidence interval created. This means that the actual value of the difference in means is either less than the lower boundary value in our confidence interval OR higher than the upper boundary value in our confidence interval.

5 0
3 years ago
Share the ratio 24 in the ratio 3:4
Kay [80]

Answer:

Step-by-step explanation:

If we use 3:4 as a part to whole ratio then I guess 18:24?

5 0
3 years ago
Read 2 more answers
1. Homer has an idea for a new donut shop. He wants to design the donut shop so that the rectangular
Tju [1.3M]

Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

The area is:

A = lw

In this problem, perimeter of 63.5 m, hence:

2l + 2w = 63.5

2l = 63.5 - 2w

l = 31.75 - w

Area of 225 m², hence:

lw = 225

(31.75 - w)(w) = 225

w^2 - 31.75w + 225 = 0

Which is a quadratic equation with coefficients a = 1, b = -31.75, c = 225.

Then:

\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625

w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1

w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68

Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0
2 years ago
Solve the system using elimination 0.4x+0.3y=1.7 0.7x-0.2y=0.8
saul85 [17]

Sorry for the lateness this probably wont be helpful but

X=2

Y=3

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3 years ago
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I think that the best answer is b) yess click that one that is the best one
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