A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?

Answers

Answer 1

in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.


Related Questions

classify the following number 8.4444

Answers

Answer:

rational number

Step-by-step explanation:

Natural numbers:

This is every number in the sequence 1, 2, 3, 4...

Whole numbers:

This is all of the above, but it also includes 0.

Integers:

All of the above, but this also includes negative numbers.

Rational numbers:

A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:

[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]

Irrational numbers:

Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.

[tex]\pi, \sqrt{3}[/tex]

=========================

You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:

[tex]8.4444=\frac{21111}{2500}[/tex]

In the case that it was a repeating decimal, those are also rational numbers. Take this for example:

[tex]0.3333333...[/tex]

This is rational:

[tex]\frac{1}{3}=0.333333...[/tex]

rewrite in simplest terms -8(-10u+6u-7)-10u

Answers

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

A.288 cups
B.64 cups
C.2,048
D.128 cups

Answers

Answer:

A

Step-by-step explanation:

288 cups did this before

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer:

It is 7 2/11 is less then 7 4/10

Step-by-step explanation:

You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]

Answer: B

Find the exact value of sin^-1(-√3/2)

Answers

Answer:

  -60°

Step-by-step explanation:

Your calculator and/or your knowledge of trig function values can find this for you.

The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.

  arcsin(-√3/2) = -60° = -π/3 radians

3(y+8)=2y-6 what is y=

Answers

Answer:

y = -30

Step-by-step explanation:

3 (y + 8) = 2y - 6

3y + 24 = 2y -6                Distribute the 3

y + 24 = -6                       Subtract 2y on both sides

y = -30                              Subtract 24 on both sides

True or false



Plz help​

Answers

[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]

ANSWER : true

ok done. Thank to me :>

Answer:

True

Step-by-step explanation:

[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]

solve the compound inequality 2(x-2)+7>-1 and 5-4x>9

Answers

Answer:

1) x > -2

2) x < -1

Step-by-step explanation:

1) 2(x - 2) + 7 > -1

2x - 4 + 7 > -1

2x + 3 > -1

2x > -4

x > -2

2) 5 - 4x > 9

-4x > 4

x < -1

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25


[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎​

Answers

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex]

[tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex]

[tex] \sf6[/tex]

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76

Answers

0.76 is the median.

In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?

All cookies
Chocolate
chip

All cookies
Chocolate
chip

All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.

Answers

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

Factor: 3x4y3 – 48y3

Answers

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)

For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.

Answers

Answer:

r>=12

Step-by-step explanation:

What is the length of XY?

Answers

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.

Answers

Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.

Hence:

[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]

Total outcomes:

Four marbles are taken from a set of 13, hence:

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]

0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,

Okie 3 more questions and I’m done with math please please please

Answers

Answer:

6x - 20 = 4x + 50

2x = 70

x = 35

How do you do the work on this problem I’ve been stuck in it for a couple hours now.

Answers

56.2 m

Step-by-step explanation:

We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,

[tex]\dfrac{dy}{dt} = 0[/tex]

then solve for the time t that satisfies the equation above. The expression for the height y is

[tex]y = 60t - 16t^2[/tex]

Taking the derivative of this expression, we get

[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]

This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get

[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]


Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

yes yes no no

Step-by-step explanation:

use the Pythagorean theorem. sub a^2+b^2=c^2.

c is the largest number, and you can plug the 2 other values into a and b.

Try to find the slope

Answers

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible

Answers

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

Learn more about combination here:

https://brainly.com/question/19341024

what are the first 6 numbers of pi

Answers

Step-by-step explanation:

3.141592653............

Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=



11

Answers

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

how do i get the answer for this problem. 2x+2x+2=4x+2

Answers

Combine like terms

Subtract 2 from both sides of the equation

Simplify

Subtract 4 from both sides of the equation

Simplify

Then your answer should be 0=0

In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).

Answers

Using it's concept, the sample space for the experiment is:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, Blue

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.

Answers

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex]

[tex] \sf64 + 9(4 \times 2) - 7[/tex]

[tex] \sf64 + 9(8) - 7[/tex]

[tex] \sf64 + 72 - 7[/tex]

[tex] \sf136 - 7[/tex]

[tex] \sf129[/tex]

The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?

A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle​

Answers

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

https://brainly.com/question/1475130

#SPJ2

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