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2 years ago

Using fraction busting solve for X 1/x² + 1/x = 6/x²

Mathematics

1 answer:

777dan777 [17]2 years ago

8 0

The solution for this question would be. x += 5 hope it helps, and im truly am sorry if its incorrect!

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Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% 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 mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

How to solve 4(a-2)=3(a+4)

Blababa [14]

Use the distributive property.
4a - 8 = 3a + 12
Arrange the like terms.
4a - 3a = 12 + 8
a = 20
That is the answer. ☺️✌️

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3 years ago

Justin has $450 to buy supplies for the school computer lab. He buys 8 boxes of printer paper that cost $49 each. About how much

lutik1710 [3]

He spend 392 dollars on copy paper

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3 years ago

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2,776,714 rounded to the greatest place value is?How many zeros are in the rounded number?The estimated speed of light using a p

Simora [160]

Answer:

3,000,000. 6 Zeros. 898,752,432,640

299,792 kilometers per second is the speed of light normally

Step-by-step explanation:

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3 years ago

Need help with this one

Simora [160]

Answer:

try c

Step-by-step explanation:

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Using fraction busting solve for X 1/x² + 1/x = 6/x² ​

Using fraction busting solve for X 1/x² + 1/x = 6/x²