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lorasvet [3.4K]
3 years ago
7

Convert the following to standard form y=2/5 x - 1/3​

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

<u>Given </u><u>:</u><u>-</u>

  • y = 2/5x - 1/3

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • To convert the given equation into standard form.

<u>Solution</u><u> </u><u>:</u><u>-</u>

As we know that the standard form of the line is ,

\sf\longrightarrow ax + by + c = 0

So the given equation is ,

\sf\longrightarrow y = 2/5x -1/3

\sf\longrightarrow y = 6x - 5/15

\sf\longrightarrow 15y = 6x - 5

\sf\longrightarrow 6x -15y -5 = 0

<u>Hence</u><u> the</u><u> required</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>6</u><u>x</u><u> </u><u>-15y-5=</u><u>0</u><u>.</u>

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3 years ago
Read 2 more answers
A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun
Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0
3 years ago
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