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3 years ago

What is the value of n in this equation?4^3×4^4=4n

Mathematics

2 answers:

larisa [96]3 years ago

6 0

4096
(4^3)(4^4) = 4n
16384 = 4n
4n = 16384
4n/4 = 16384/4
n = 4096

Anton [14]3 years ago

3 0

Answer:

Step-by-step explanation:

$4^3\times4^4=4^n\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\4^{3+4}=4^n\\\\4^7=4^n\iff 7=n\to n=7$

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Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

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

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

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3 years ago

Make x the subject of: 2x + a = b (x - 2)

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Answer:

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Step-by-step explanation:

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The question is unclear to me, 30x3=10 WHAT, 30x3=90 not 10

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2 years ago

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Find x you mean?
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divide both side by 5
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3 years ago

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ZanzabumX [31]

Answer:

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3 years ago

What is the value of n in this equation?4^3×4^4=4n ​

What is the value of n in this equation?4^3×4^4=4n