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In-s [12.5K]
3 years ago
5

Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times

y to the 2nd power all over 5 times x to the third power times y.
Mathematics
2 answers:
KIM [24]3 years ago
8 0
\dfrac{10x^6y^3+ 20x^3y^2}{5x^3y}

=  \dfrac{10x^3y^2(x^3y + 2)}{5x^3y}

= 2y(x^3y + 2)
kramer3 years ago
6 0
The answer to this question is 2x³y² + 4y


Hoped this helped by your fellow citizen Johnny
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kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ =  30 miles per hour

Sample mean, \bar{x} = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}

We use one-tailed(right) t test to perform this hypothesis.

Formula:

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Putting all the values, we have

t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120

Now, t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624

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t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

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Step-by-step explanation:

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