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3 years ago

12

Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinat

ors shown.

1 answer:

nikdorinn [45]3 years ago

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Enter a picture with it please it’ll be able to help

You might be interested in

Match each quadratic equation with the best way to solve it.

zzz [600]

5x^2 + 12x + 3 = 0 would best be solved by using the quadratic formula. This is because it does not factor nicely and the lead coefficient makes it hard to use the square roots method or the completing the square method.

x^2 - 4x = 8 would best be solved with the completing the square method. This is because the first step in completing the square is to put the constant on the opposite side, which is already done for you in this one.

4x^2 - 25 = 0 would best be solved with the square root method. This is because there are only two terms, they are separated by a subtraction symbol, and both are perfect squares.

x^2 - 5x + 6 would best be solved by factoring. This is the case because it is easy to find factors of the constant that add up to the x coefficient (which is what you need to factor). In this case -2 and -3 multiply to 6 and add up to -5.

4 0

3 years ago

5. Solve the equation. 8/x+3 = 1/x+1

Helga [31]

Answer:

x = -5/7

Step-by-step explanation:

8 1

---------- = ----------

x+3 x+1

Using cross products

8 (x+1) = 1 (x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x-x+3

7x+8 =3

Subtract 8 from each side

7x +8-8 =3-8

7x = -5

Divide each side by 7

7x/7 = -5/7

x = -5/7

4 0

4 years ago

The Pew Research Center has conducted extensive research on the young adult population (Pew Research website, November 6, 2012).

Rudik [331]

Answer:

a) $0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

b) $0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

c) The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

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

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

Part a

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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

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

If we replace the values obtained we got:

$0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

Part b

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:

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

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

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

If we replace the values obtained we got:

$0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

Part c

The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

7 0

3 years ago

What is the solution of StartRoot 1 minus 3 x EndRoot = x + 3 ?

zubka84 [21]

First square both sides

1-3x=(x+3)^2 use foil to unfactor it
1-3x=x^2+6x+9 subtract 1 from both sides
-3x=x^2+6x+8 add 3x to both sides
0=x^2+9x+8

Now that we got it equal to zero you have to factor the new trinomial

0=(x+1)(x+8)

Now since both are being multiplied by each other, if you get 1 of them to equal zero then both equal zero since 0 times anything equals 0.

So your solutions are x=-8 and x=-1

Brainliest my answer if it helps you out?

7 0

3 years ago

Read 2 more answers

Keith swam 50 72 meters in the swimming pool this morning. This

ruslelena [56]

Answer:

122.96 meters is the answer

Step-by-step explanation:

If you add you will get the answer

Hope it helpes

8 0

3 years ago