2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions

All cases rewritten in the form of difference expressions are listed below:

Equalities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:  

x - a = 0   (1)

And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:

x - a = b   (2)

Where b have the following cases:

Now we proceed to rewrite each case in term of difference expressions:

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Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

Answer:

1) what is the number of male part time students between the ages 15 - 19 years?

2) do students work more than 4 hours a day?

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

Answer:

0.0625

Step-by-step explanation:

the probability of getting 4 heads in a row is 0.5^4

answer is 0.0625 or 1/16

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!

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Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below

Hope this helps :)

Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.

The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.

We would find the following:

Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

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Answer:

Here you go

Step-by-step explanation:

Just use a slope calculator

Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

The Schwarzschild radius of the black hole depends on its mass

The Schwarzschild radius of this supermassive black holeis 0.091 AU

The Schwarzschild radius (r) is calculated using:

[tex]r_s = \frac{2GM}{c^2}[/tex]

Where:

G =  Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2

M = Mass of the object = 4.6 x 10^6 solar masses

c = Speed of light = 299792458 m / s

Express the mass in Kg

M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg

Substitute the above values in the equation

[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]

Evaluate the expression

[tex]r_s = 13589425339.6[/tex] m

Express as km

[tex]r_s = 13589425.3396[/tex] km

Expressas AU

[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]

Evaluate the quotient

[tex]r_s = 0.09059616893[/tex]

Approximate

[tex]r_s = 0.091\ AU[/tex]

Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU

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Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

Answer:

[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]

A number {x} {divided by} {3} is {at most} {5}.

                  ↧          ↧             ↧            ↧         ↧

                  x          ÷             3           ≤         5

[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]

Answer:

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

Step-by-step explanation:

x divided by 3 = x/3

at most 5 means "equal or less than 5" =  ≤ 5

Final solution

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

------------------------------------------------------------------------------------------------

Extra information

Alternative ways of writing the inequality:

x ÷ 3 ≤ 5

[tex]\sf \dfrac13x\leq 5[/tex]

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

Answer:42 is the third quartile

Step-by-step explanation:

Answer:

x = 110

y = 23

Step-by-step explanation:

For X :

100 = x -10

110 = x

Corresponding angles are equal

For Y :

180 - 110 = 70

(2y + 24) = 70

2y = 46

y = 23

Adjacent Angles on a straight line add up to 180 Degrees

Answer:I think it might be D but i'm not 100% sure

There are six ways in which the word FOOT may be spelt starting at any letter.

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

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Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

Answer:

The Answer is 0.04

Step-by-step explanation:

By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.

For Elise, the number of cups consumed after the 10:00 am is:

y = 2*x + 4

Where x is the number of hours after 10:00 am.

For Jacob, the number is:

J = 3*x + 2

Then the system of equations is:

y = 2x + 4

y = 3x + 2

To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:

2x + 4 = y = 3x + 2

2x + 4 = 3x + 2

Solving for x we get:

4 - 2 = 3x - 2x

2 = x

After 2 hours, Elise and Jacob drink the same amount of water.

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Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation: