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Allisa [31]
3 years ago
13

Simplify the following

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Using the rules of logarithms

logx^{n} = nlogx

log_{b} b = 1

Then

log_{x} x^{9}

= 9log_{x} x

= 9

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The area of a circle is 497 squared meters.<br> What is the radius, in meters?
frutty [35]

Answer: r= 12.58m

Step-by-step explanation:

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7 0
3 years ago
Marcus currently owns 200 songs in his iTunes collection. Every
UNO [17]

Answer:

Marcus will own 380 songs after a year.

Step-by-step explanation:

the equation would look like

N=15m+200

you

then put 12 in for (m)

n=15(12)+200

n=180+200

n=380

Marcus will own 380 songs after a year.

5 0
3 years ago
What is the approximate radius of a sphere with a volume of 1436m^3
Vedmedyk [2.9K]

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Step-by-step explanation:

5 0
2 years ago
A survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers and 84 do
ollegr [7]

Answer:

We conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.

Step-by-step explanation:

We are given that a survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers.

Let p = <u><em>population proportion of smokers among those with four years of college</em></u>

So, Null Hypothesis, H_0 : p \geq 27%      {means that the rate of smoking among those with four years of college is more than or equal to the 27% rate for the general population}

Alternate Hypothesis, H_A : p < 27%      {means that the rate of smoking among those with four years of college is less than the 27% rate for the general population}

The test statistics that will be used here is <u>One-sample z-test</u> for proportions;

                             T.S.  =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~   N(0,1)

where, \hat p = sample proportion of smokers = \frac{144}{785} = 0.18

           n = sample of subjects = 785

So, <em><u>the test statistics</u></em> =  \frac{0.18-0.27}{\sqrt{\frac{0.27(1-0.27)}{785} } }

                                     =  -5.68

The value of z-test statistics is -5.68.

<h2>Also, the P-value of the test statistics is given by;</h2>

             P-value = P(Z < -5.68) = Less than 0.0001

Now, at a 0.01 level of significance, the z table gives a critical value of -2.3262 for the left-tailed test.

Since the value of our test statistics is less than the critical value of z, so we have <u><em>sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.

7 0
3 years ago
What are the domain and range of the exponential function f(x)=ab^x where b is a positive real number not equal to 1 and a&gt;0?
dybincka [34]

Answer:

the answer is C

Step-by-step explanation:


6 0
3 years ago
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