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3 years ago

Please help!!!! :) !!!!!!!!

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are equal, thus

x - y = x + 2 ( subtract x from both sides )

- y = 2 ( multiply both sides by - 1 )

y = - 2

and

4x + 2y = 2x - y

substitute y = - 2

4x - 4 = 2x + 2 ( subtract 2x from both sides )

2x - 4 = 2 ( add 4 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

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Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. Ho

pochemuha

Answer: $2061.55\ m$

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

$\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km$

7 0

3 years ago

The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si

Novay_Z [31]

Answer:

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

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

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

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)

$\sigma=0.05$ represent the population standard deviation

n represent the sample size (variable of interest)

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 =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

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

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

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

7 0

3 years ago

Please help me on this

DiKsa [7]

It’s going up by thirds

3 0

3 years ago

Read 2 more answers

Which of the terms cannot be combined with the others? -3x 4x 2 x 11x

ololo11 [35]

4x^2 cannot be combined with the others if you are using addition or subtraction. However, the other three answers can be combined:
(-3x) + x + 11x = (-3x) + 12x = 9x.
or
11x -x -(3x) = 10x -3x = 7x.
Your answer is 4x^2
Hope this helps!

7 0

3 years ago

What is the equation of the line that passes through the point (-9. 6) and is

hram777 [196]

Answer:

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

-5 + x = 3y (divide by 3 on both sides to get y by itself)

-5/3 + 1/3x = y or y = 1/3x + 5/3

The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

6 = -3(-9) + b (b = y-intercept)

6 = 27 + b (subtract 27 on both sides)

-21 = b

So the perpendicular equation looks like this.

y = -3x -21

6 0

3 years ago