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alukav5142 [94]
3 years ago
7

Which ordered pairs make the equation true?

Mathematics
2 answers:
Rzqust [24]3 years ago
7 0
The easiest way to do this is plug it in! The answers -4,-2
Nata [24]3 years ago
6 0
(-4,-2)
You just plug in the numbers from the ordered pair, into your equation. Remember, the formula for ordered pairs are (x,y). :)
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Which expression should you simplify to find the 90% confidence interval,
bogdanovich [222]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025.

And the critical value is:z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

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

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

5 0
3 years ago
A rectangle's length, x, is 2 meters greater than its width. If the perimeter of the rectangle is greater than 112 meters, what
Harman [31]

Answer:

The possible length is greater than 29 meters.

Step-by-step explanation:

If the length is x then the width is x - 2  m.

So the perimeter is 2x + 2(x - 2) = 4x - 4 m.

4x - 4 > 112

4x > 116

x > 29 m.

7 0
3 years ago
Dante creates pottery. He brought 40 pieces to a show at the fall festival. When he went to the spring carnival, he brought 15%
Rudiy27

Answer:

15% of 40 is 6, add that up, its 46

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to (2^3)^5?
Alenkasestr [34]
<span>(2^3)^5
=2^(3*5)
= 2^15

hope it helps</span>
8 0
3 years ago
Read 2 more answers
Which equation is not equivalent to the other two
Liula [17]

Answer:

y=-4-3x

Step-by-step explanation:

y = -3x - 4

y = -3x + (-4)

y = -4 + 3x

y = -4 - 3x

7 0
3 years ago
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