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3 years ago

Which ordered pair is a solution to the system of equations? {2x−y=−1

1 answer:

3 0

The answer is A. (-2,-3)
You can use your graphing calculator and go to Matrix and edit. Then plug in the values and next, go to rref and find the values.

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I am doing a math test and need help with this problem

pentagon [3]

Answer:

21√(5(

Step-by-step explanation:

6√(9*5)

6*3√(5)

18√(5) + 3√(5) = 21√(5(

7 0

3 years ago

Find the distance between points P(3, -8) Q(7,4). Round to the nearest tenth if necessary

Gnom [1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}}\\\\ \mathsf{d=\sqrt{(7-3)^2+(4-(-8))^2}}\\\\ \mathsf{d=\sqrt{(4)^2+(4+8)^2}}\\\\ \mathsf{d=\sqrt{16+(12)^2}}\\\\ \mathsf{d=\sqrt{16+144}}\\\\ \mathsf{d=\sqrt{160}}\\\\ \mathsf{d=12,649110640673...}\\\\ \underline{\mathsf{d\approxeq12,6}}$

The answer is 12,6 u.c.

3 0

3 years ago

WHOEVER ANSWERS GETS A PRIZE!!!!

Karo-lina-s [1.5K]

Answer:

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5 0

3 years ago

Read 2 more answers

I’m confused on this one

Anna11 [10]

The answer is (-5,3)

3 0

3 years ago

The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 custo

SSSSS [86.1K]

Answer:

The 95% confidence interval would be given by (2.804;3.196)

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".

$\bar X=3.0$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

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

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ 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: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$3.0-1.96\frac{1}{\sqrt{100}}=2.804$

$3.0+1.96\frac{1}{\sqrt{10}}=3.196$

So on this case the 95% confidence interval would be given by (2.804;3.196)

4 0

3 years ago