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3 years ago

Ruby is building a pentagon-shaped garden and a hexagon-shaped garden.

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:

5x = 47 1/2 . . . . . . mismatch with statement A

Statement A is false.

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Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j

MA_775_DIABLO [31]

Answer:

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

$x+y+z=37$ -----> equation A

$x=y+4$ -----> $y=x-4$ ------> equation B

$z=x+2$ ------> equation C

Substitute equation C and equation B in equation A and solve for x

$x+(x-4)+(x+2)=37$

$3x=37+2$

$3x=39$

$x=13\ mi$

Find the value of y

$y=13-4=9\ mi$

Find the value of z

$z=13+2=15\ mi$

therefore

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

3 0

3 years ago

Solve: 4x - 2x + 6 = x + 12 A) x = 6 B) x = 2 C) no solution D) x = −6

Kitty [74]

Answer:

A) x = 6

Step-by-step explanation:

4x - 2x + 6 = x + 12

Combine like terms

2x +6 = x+12

Subtract 6 from each side

2x+6-6 = x+12-6

2x = x+6

subtract x

2x-x = x+6-x

x = 6

7 0

3 years ago

Read 2 more answers

What’s the answer???<br> ( ONLY ANSWER IF YOU KNOW)

Elena-2011 [213]

The exponents of expression one are the same as the exponents of expression two

4 0

3 years ago

Need help please any body

mash [69]

She should by the one that is written as 375/1000 inches because if Trudy needs a nail that measures 0.375 she should get that one and also .375 and 375/1000 is really the same thing. hope it helps

4 0

3 years ago

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago