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Bad White [126]
4 years ago
7

All the blank answers

Mathematics
1 answer:
wlad13 [49]4 years ago
5 0

the sum of inner angles of a pentagon is equal to

n - 2 \times 180  = (5 - 2) \times 180  \\ 3 \times 180 = 540

so:

x + 10 + x + 20 + 2x + 10 \\  + x + 10 + 2x = 540 \\ 7x + 50 = 540 \\ 7x = 490 \\ x = 70

and the largest one is 150

2x + 10 = 2(70) + 10 = 150

the answer is 1/16

4  {}^{ - 2}  =  \frac{1}{4 {}^{2} }  =  \frac{1}{16}

the parallel line can be

y=2x+4

or any line with different y intercept

good luck

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Which represents the solution set of inequality 5x-9 <21
Crank

Answer:

x

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Step-by-step explanation:

we have

5x-9

Adds 9 both sides

5x-9+9

5x

Divide by 5 both sides

x

the solution is the interval ---------> (-∞,6)

All real numbers less than 6

see the attached figure to better understand the problem

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3 years ago
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
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