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matrenka [14]
3 years ago
6

If (-2, y) lies on the graph of y = 3Y, then y =

Mathematics
2 answers:
Artist 52 [7]3 years ago
8 0

Answer:

\displaystyle \frac{1}{9}

Step-by-step explanation:

Hi there!

This question is asking us what the value of <em>y</em> is when <em>x</em> is -2, hence the point (-2,y).

y=3^x

To find <em>y</em>, replace <em>x</em> in the equation with -2 and evaluate:

y=3^-^2

When a^-^n where <em>n></em>0, a^-^n=\displaystyle \frac{1}{a^n}:

y=\displaystyle \frac{1}{3^2} \\\\y=\displaystyle \frac{1}{9}

I hope this helps!

kumpel [21]3 years ago
5 0
Answer:

y = 1/9

Step-by-step explanation:

(-2, y) = (x, y)

y = 3^x

y = 3^(-2)

y = 1/9

Therefore y = 1/9
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Answer:

x²/9 − (y + 1)²/81 = 1

Step-by-step explanation:

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3 0
3 years ago
2. In a random sample of 130 World Campus students, 92 were employed full-time.
liberstina [14]

Answer:


Step-by-step explanation:

Given that sample size is 130 >30.  Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)

Hence we can assume normality assumptions here.

Proportion sample given = 92/130 = 0.7077

The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n

Hence mean proportion p= 0.7077

q = 1-p =0.2923

Std error = 0.0399

For 95% confidence interval we find that z critical for 95% two tailed is 1,.96

Hence margin of error = + or - 1.96(std error)

= 0.0782

Confidence interval = (p-margin of error, p+margin of error)

= (0.7077-0.0782,0.7077+0.0782)

=(0.6295, 0.7859)

We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.

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