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2 years ago

Which expression is NOT equivalent to the other three?

Mathematics

1 answer:

Olin [163]2 years ago

6 0

Answer:

9(n - 9) = 9n - 81

Step-by-step explanation:

Equivalent expressions are expressions which are equal . To determine if expressions are equivalent, simplify to lowest terms through combining like terms.

-9 - 7n + 16n = -9 + 9n

9(n - 9) = 9n - 81

n - 9 + 8n = -9 + 9n

9n - 9 = -9 + 9n

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A random sample of 9 fields of corn has a mean yield of 34.7 bushels per acre and standard deviation of 8.04 bushels per acre. D

kykrilka [37]

Answer:

98% Confidence interval: (26.939,42.461)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 34.7 bushels per acre

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 8.04 bushels per acre

Degree of freedom = n - 1 = 8

98% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$34.7 \pm 2.896(\dfrac{8.04}{\sqrt{9}} )\\\\ = 34.7 \pm 7.761 = (26.939,42.461)$

is the required confidence interval for the true mean yield.

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2 years ago

Using traditional methods, it takes 108 hours to receive a basic driving license. A new license training method using Computer A

Rainbow [258]

Answer: z= -2.35

Step-by-step explanation:

When the population variation is know, then we calculate the z-statistic.

Formula to calculate the z-test statistic is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

where , n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =Population standard deviation.

As per given we have,

n= 270

$\mu= 108$

$\overline{x}=107$

$\sigma^2=49\\\\\Rightarrow \sigma=\sqrt{49}=7$

Then, z-statistic will be

$z=\dfrac{107-108}{\dfrac{7}{\sqrt{270}}}$ (Substitute all the values )

$\Rightarrow\ z=\dfrac{-1}{\dfrac{7}{16.4316767252}}$

$\Rightarrow\ z=\dfrac{-1}{0.426006433614}$

$\Rightarrow\ z=-2.34738238931\approx-2.35$

Hence, the value of the test statistic= z= -2.35

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3 years ago

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maks197457 [2]

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2 years ago

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tatuchka [14]

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Step-by-step explanation: devil in a new dress by kanye west will help you

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3 years ago

How many times does 15 go into 49

Drupady [299]

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2 years ago

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