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3 years ago

Sum10and product of 9

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

Answer:

$x+ y = 10 ---(1)\\ x\cdot y = 9 ---(2)\\\\from(2) \ y = \frac{9}{x}\\\\substitute \ y \ in (1) \\x + \frac{9}{x} = 10\\\\x^2 + 9 - 10x = 0\\x^2 -10x + 9 = 0\\x^2 -9x -x +9 = 0\\x(x-9)-1(x-9)=0\\(x-1)(x-9)=0\\x = 1 \ or \ 9\\$

substitute x in y = 9/x

=> y = 9 or 1

So the number are 1 and 9 or 9 and 1

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

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Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

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3 years ago

An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is

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Answer:

the bridge holds one ton. on Edgunuity

Step-by-step explanation: <3

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3 years ago

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marishachu [46]

Answer:

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3 years ago

Which function is represented in this graph?

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Answer:

y = tan (1/2 x - π/2) ⇒ the answer is (b)

Step-by-step explanation:

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Sum10and product of 9​

Sum10and product of 9