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2 years ago

A(-1,2) B(3,1) C(1,-4) To the new coordinated A'(-2,4) B'(6,2) C'(2,-8) what was the scale factor?

Mathematics

1 answer:

kicyunya [14]2 years ago

6 0

Answer:

Step-by-step explanation:

A(-1, 2) ==> A'(-2, 4)

B(3,1) ==> B'(6,2)

C(1,-4) ==> C'(2,-8)

Based on the results of each set, the scale factor is 2

A(-1*2, 2*2)= A'(-2, 4)

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Consider the following equation x= r-h/y.Solve the equation for h

Flura [38]

x= r - h/y subtract r from both sides

x-r = -h/y multiply each side by -y

-y(x-r) = h

-xy +yr = h

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2 years ago

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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.

Vladimir [108]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

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 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 $ME =\pm 0.05$ 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)

The estimated proportion for this case is $\hat p=0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

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4 0

2 years ago

Help please just answer would be fine

scZoUnD [109]

The amount of water decreases $16\frac{1}{2}$ pints in 12 weeks.

Solution:

The amount of water decreases in 7 weeks = $9\frac{5}{8}$ pints

The amount of water decreases each week is same.

Let us first change the mixed fraction into improper fraction.

$9\frac{5}{8}$ pints = $\frac{(9\times8)+5}{8}$

$=\frac{77}{8}$ pints

The amount of water decreases in 1 week

$$=\frac{\frac{77}{8} }{7}$

$=\frac{77}{8\times7}$

$=\frac{11}{8}$

So, the amount of water decreases in 1 week is $\frac{11}{8}$ pints.

The amount of water decreases in 12 week

$=\frac{11}{8}\times12$

$=\frac{132}{8}$

$=16\frac{4}{8}$

$=16\frac{1}{2}$ pints

Hence the amount of water decreases $16\frac{1}{2}$ pints in 12 weeks.

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2 years ago

What is the least common denominator of 3/20 and 9/40?

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Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.

7 0

2 years ago

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Simora [160]

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