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3 years ago

How do i solve these???

Mathematics

1 answer:

Ainat [17]3 years ago

3 0

This is easy,

First you wanna line up all the sides of the perimeter:

Let's do number 29.
We have (5h+2p) + (3h+p) + (2h+4p) + (2h+4p).

Now, if your familiar with Like Terms you should get this pretty easily.

Let's add the first two,

(5h+2p)+(3h+p)=8h+3p

Next the other two,

(2h+4p)+(2h+4p)=2h+8p

Add them both,
8h+3p+2h+8p= 10h+11p

Answer: 10h+11p

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Suppose the number of inches of rainfall each year in a city is normally distributed. For a random sample of years, the confiden

quester [9]

Answer:

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

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

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

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)

Solution to the problem

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

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

Or equivalently:

$\bar X \pm ME$

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

4 0

3 years ago

Can someone help me with this please

zhuklara [117]

The error is when she added 4 to both sides.

Instead, she should divide both sides by -4 to undo the multiplication. Specifically, the multiplication between the -4 term and the (x-2)^2 term.

This is one possible correction of what her steps could look like.

$y = -4(x-2)^2\\\\\\0 = -4(x-2)^2\\\\\\\frac{0}{-4} = \frac{-4(x-2)^2}{-4}\\\\\\0 = (x-2)^2\\\\\\(x-2)^2 = 0\\\\\\\sqrt{(x-2)^2} = \sqrt{0}\\\\\\x-2 = 0\\\\\\x-2+2 = 0+2\\\\\\x = 2\\\\\\$

In the third step, I'm dividing both sides by -4. In the sixth step, I'm applying the square root to both sides to undo the squaring operation. Then two steps later, I'm adding 2 to both sides to undo the "-2", which helps fully isolate x.

The only solution is x = 2, so it's the only x intercept. You can verify this answer by plugging x = 2 back into the original equation at the very top. You should end up with y = 0.

Note: The term "root" is another name for "x intercept".

6 0

2 years ago

Evaluate f(x) = x + 6 when x = -2,0 and 5

Margaret [11]

5 0

3 years ago

WILL MARK YOU BRAINLIEST

Alinara [238K]

Answer: 3. 5 7/20,

Explanation: I took -3 2/5 and turned it into -17/5 and did the same with 8 3/4 which is 35/4. I gave them both the same denominator so I could add them together and it became -68/20 + 140/20 which equals 107/20

4 0

2 years ago

Use the submission method to solve the system of equations. Choose the correct ordered pair. 2x+3=13 x=2

g100num [7]

Answer:

(x, y) (2, 7)

Step-by-step explanation:

Choose the correct ordered pair. 2x + 3 = 13

x = 2

Substitute x = 2 into the equation

2(2) + 3

= 4 + 3

= 7

The correct ordered pair is (x, y) (2, 7)

3 0

2 years ago