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3 years ago

What happens when you rotate a straight line 180 degrees?

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

Answer:

Rotation of a point through 180°, about the origin when a point is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new position

Step-by-step explanation:

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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

What is the value of x in the equation x – y = 30, when y = 15

Mekhanik [1.2K]

The answer is 45 because 45-15=30, therefore x=45.

6 0

4 years ago

Read 2 more answers

Which is the equation of the parabola?

mestny [16]

Answer:

y = -1/20(x + 3)²

Step-by-step explanation:

Consider the parent function:

y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

y = -(x + 3)²

Since all the options have 1/20 as a coefficient, our function is:

y = -1/20(x + 3)²

This is option B

6 0

3 years ago

Find the Area and Perimeter of both figures!

Leokris [45]

where is the figures to solve.

4 0

3 years ago

I need help with 9-81 ASAP PLS THIS IS MY HW

Yuri [45]

It is -72 lol. that's pretty basic you know

4 0

3 years ago

Read 2 more answers