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3 years ago

What is the solution to the system of equations graphed below?

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer: (2, -3)

Step-by-step explanation:

Look at the point where the two graphed lines cross.

The first number in the solution is the x-value, that is how far to the left or right you count from the center O. 2 to the right +2

The second number in the solution is the y-value, that is how fat up or down you count from the center O. 3 down is -3

When you have those two values, you express them as the "coordinates" of that point. in this case (2, -3)

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How does the rate of change of f(x)=3x+5 compare to the rate of change of g(x)=2x+5 ?

elena55 [62]

Do you know how to do it on your calculator?

6 0

3 years ago

Suppose twenty-two communities have an average of = 123.6 reported cases of larceny per year. assume that σ is known to be 36.8

Delvig [45]

We are given the following data:

Average = m = 123.6
Population standard deviation = σ= psd = 36.8
Sample Size = n = 22

We are to find the confidence intervals for 90%, 95% and 98% confidence level.

Since the population standard deviation is known, and sample size is not too small, we can use standard normal distribution to find the confidence intervals.

Part 1) 90% Confidence Interval
z value for 90% confidence interval = 1.645

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-1.645* \frac{36.8}{ \sqrt{22}}=110.69$

Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+1.645* \frac{36.8}{ \sqrt{22}}=136.51$

Thus the 90% confidence interval will be (110.69, 136.51)

Part 2) 95% Confidence Interval
z value for 95% confidence interval = 1.96

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-1.96* \frac{36.8}{ \sqrt{22}}=108.22$

Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+1.96* \frac{36.8}{ \sqrt{22}}=138.98$

Thus the 95% confidence interval will be (108.22, 138.98)

Part 3) 98% Confidence Interval
z value for 98% confidence interval = 2.327

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-2.327* \frac{36.8}{ \sqrt{22}}=105.34$
Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+2.327* \frac{36.8}{ \sqrt{22}}=141.86$

Thus the 98% confidence interval will be (105.34, 141.86)

Part 4) Comparison of Confidence Intervals
The 90% confidence interval is: (110.69, 136.51)
The 95% confidence interval is: (108.22, 138.98)
The 98% confidence interval is: (105.34, 141.86)

As the level of confidence is increasing, the width of confidence interval is also increasing. So we can conclude that increasing the confidence level increases the width of confidence intervals.

3 0

3 years ago

Please help Thank yourself

7nadin3 [17]

Answer:

75°

Step-by-step explanation:

There are 180° in a triangle, so using the ratios and the 180° setup an equation. Solve for x.

5x + 9x + 10x = 180

24x = 180

24x/24 = 180/24

x = 7.5

To find the largest angle measure, use 10x since 10 is bigger than 5 and 9.

10x

10(7.5)

75°

7 0

2 years ago

Which one is greater 16,400 or 1.64 times 10 to the 4th power.<br> Sorry it is confusing.

Kitty [74]

Answer: its the same amount

Step-by-step explanation:

8 0

2 years ago

How do I solve 8x+5y=-20 ?

Vlad [161]

Answer: y=-8/5x-4

Step-by-step explanation:

8x+5y=-20

-8x -8x

5y=-8x-20

/5 /5

y=-8/5x-4

4 0

3 years ago