4/5+6/25x8/9+(-8/7) PLEASE ANYONE HELP.ME FAAST.

The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p

Semmy [17]

Answer:

The probability is $P(\= X > x ) = 0.78814$

Step-by-step explanation:

From the question we are given that

The population mean is $\mu = 149$

The standard deviation is $\sigma = 14$

The random number $x = 147.81$

The sample size is $n = 88$

The probability that the sample mean would be greater than $P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )$

Generally the z- score of this normal distribution is mathematically represented as

$Z = \frac{ \= x - \mu }{\sigma_{\= x} }$

Now

$\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{14 }{\sqrt{88} }$

$\sigma_{\= x } = 1.492$

Which implies that

$P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )$

$P(\= X > x ) = P( Z > -0.80 )$

Now from the z-table the probability is found to be

$P(\= X > x ) = 0.78814$

5 0

3 years ago

what is the mean round to the nearest tenth if needed value 1 2 3 4 5 frequency 7 1 3 2 2 please help?

Blizzard [7]

1 * 7 + 2 * 1 + 3 * 3 + 4 * 2 + 5 * 2 =

7 + 2 + 9 + 8 + 10 =

36

Now we need to divide 36 by the total frequency: 7+1+3+2+2=15

36 / 15 = 2.4

6 0

4 years ago

Calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided

Dvinal [7]

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.

♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°

3 0

3 years ago

This is for pre calculus, please help

Harlamova29_29 [7]

Answer:

The correct answer is:

$g(x) = x+1$

Step-by-step explanation:

Given that:

$h(x) = f\circ g(x)= \sqrt[3]{x+3}$

$f(x) = \sqrt[3]{x+2}$

To find:

$g(x) = ?$

Solution:

Let $g(x) = m$

We have

$f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}$ ...... (1)

Now, we have let:

$g(x) = m\\\therefore f(g(x)) = f(m)$

Putting x = in f(x), we get

$f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}$ ....... (2)

Comparing equation (1) and (2):

$\sqrt[3]{x+3} =\sqrt[3]{m+2}$

Taking cubes both sides:

$x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1$

$\therefore g(x) = x+1$

Hence,

The correct answer is:

$g(x) = x+1$

5 0

3 years ago

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

7 0

3 years ago

4/5+6/25x8/9+(-8/7)PLEASE ANYONE HELP.ME FAAST.​

4/5+6/25x8/9+(-8/7)PLEASE ANYONE HELP.ME FAAST.