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mr Goodwill [35]
3 years ago
11

A triangle has an area of 37.5 inches the height of the triangle is 20 inches what is the length of the base of the triangle?​

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

base = 3.75 inches

Step-by-step explanation:

37.5 = 20b/2

37.5 = 10b

b = 3.75

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

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

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
4 years ago
What is the equation of the line through the origin and (-5, 6) <br><br>I hate try it's .-.​
vazorg [7]

Answer:

y=-\frac{6}{5} x

Step-by-step explanation:

y=-6/5x+0

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6 0
3 years ago
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andre [41]

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FBC

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It's the only one at the front of the box

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There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps,
3241004551 [841]
\frac{1}{6}x+\frac{1}{3}x+\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=x\\\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=27\\\frac{3}{7}(x-(\frac{1}{2}x))=27\\\frac{3}{7}(\frac{1}{2}x)=27\\x=126

126 caps
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Find the quotient of 68.0052 and 12. Round your answer to the nearest hundredth
Vlad1618 [11]
68.01
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Meaning 68.0052÷12 is 68.01
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