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nordsb [41]
3 years ago
14

A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.

Mathematics
1 answer:
vodomira [7]3 years ago
7 0
The hypotenuse is 20.59. 10^2+18^2=C^2
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Simplify 5x(3x^2+2x-3)
Tcecarenko [31]

Answer:

15x^3 +10x^2 - 15x

Step-by-step explanation:

Hello!

Use the distributive property and multiply like terms.

<h3>Simplify</h3>
  • 5x(3x^2 + 3x - 3)
  • 5x(3x^2) + 5x(2x) + 5x(-3)
  • 15x^3 +10x^2 - 15x

The simplified form is 15x^3 +10x^2 - 15x.

4 0
2 years ago
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Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Colt1911 [192]

Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

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

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

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

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0
3 years ago
Can somebody please help me with this question?
Alenkinab [10]

Answer:

Blue Triangle.

Step-by-step explanation:

Using the area formula for a triangle, the pink triangle has an area of 0.5×54×33 in² or 891 in². The blue triangle has an area of 0.5×56×39 in² or 1092 in².

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Can anyone help me with this 20pts and brainliest
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Y+x+3=0 will result in graph B.
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How do you get the constant rate of proportionallity in a chart
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You have to add all the quantities and then dived between the numbers of amounts
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