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melisa1 [442]
3 years ago
7

16. Find the values of x and y. (2y + 5) (5r - 17) (3r - 11)

Mathematics
1 answer:
Alinara [238K]3 years ago
3 0
(5x - 17) + (3x - 11)= 180 [ Linear Pair ]
= 8x - 28= 180
= 8x= 208
= x = 208/8
= x = 26

3x-11
= 3*26 - 11
=67

Now, we have:
(2y+5)+90+(3x-11)=180 [Linear Pair]

Substituting (3x-11),
(2y+5) + 90 + 67= 180
= (2y+5)+157= 180
= 2y + 162= 180
= 2y= 18
=y = 18/2
=y= 9

Therefore, x= 26, and y= 9

Please hit the ‘Thanks’ if this helped

Have a great day.
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Andreyy89

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

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Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

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Answer:

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Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

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<u>First</u> we compute the \hat{p} value:

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<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

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