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3 years ago

Find the midpoint of points A(-2,-8) and B(7,-4) graphically.

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

Answer:

The midpoint is (2.5,-6) or written as a fraction ( $\frac{5}{2}$ , -6)

Step-by-step explanation:

$MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )$

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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

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

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

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

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

= [19.891 , 24.909]

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

6 0

3 years ago

Mark the points A(5, 5) and B(7.2). Draw a circle that has point A as the center and passes through point B. Measure and label t

olasank [31]

Answer:

i think 4 units im not sure though though

Step-by-step explanation:

4 0

3 years ago

the rectangular metallic block is 30cm long ,25cm broad and8cm high.how many pieces of rectangular slices each of 5mm thick can

Dmitrij [34]

Answer:

Step-by-step explanation:

cuz if u put all the fives it takes up for it u would get 12 times five

8 0

2 years ago

4/5 divided by -3/5 any answers because right now I’m really stuck

MatroZZZ [7]

Answer:

-1 1/3 as a mixed number (if they ask for it in simplest form, choose this one)

-4/3 as an improper fraction

Step-by-step explanation:

1. Keep, change, flip

4/5 x -5/3

2. Cross cancel the fives

4/1 x -1/3

3. Simplify

-4/3 or -1 1/3 (they're equivalent)

7 0

2 years ago

Carly said that 0.8÷10=0.04. Is she correct? Explain how you know.

faust18 [17]

Answer:

To divide 0.8 divided by 20 she needs to annex a 0 in the hundredths place. So, the quotient is 0.04, and Carly is correct

3 0

3 years ago