How many solutions does the system have? <br> y=3x-1<br> y=-2x+4

Which of the following describes the sequence 1,1,2,3,5

KIM [24]

Answer:

Step-by-step explanation:

It starts at 1 adds 1 which got you 2 , then 1 plus 2, is 3, then 2 plus 3 is 5, you get it?

6 0

4 years ago

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in. Determine the minimum sample

leva [86]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=0.25$ represent the population standard deviation

n represent the sample size (variable of interest)

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.1 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

8 0

4 years ago

What is the answer to: 5+7*3/5+8

diamong [38]

Answer:

86/5 or 17.2

Step-by-step explanation:

5 + 21/5 + 8

46/5 + 8

86/5 or 17.2

3 0

3 years ago

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Still don’t get it idk lol

KonstantinChe [14]

Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

Isolate x.

3x = 4x - 9

-x = -9

Divide -1 out.

x = 9

Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

XQ = 18 - 6

XQ = 12

6 0

3 years ago

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The table below represents the distance of a car from its destination as a function of time: Time (hours) x Distance (miles) y 0

Trava [24]

X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750

The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles

------------------------------------------------------------------------------------------------------------
PART B

The rate of change is calculated by finding the vertical and horizontal distance between two points

The decrease is the same value every time; for every hour, there's a decrease of 50 miles.

So, the rate of change is 50 miles per hour
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PART C

The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be

0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours

The domain of the function is 0 ≤ x ≤ 18

4 0

4 years ago

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How many solutions does the system have? y=3x-1 y=-2x+4