A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules​

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

2x+8 and 2(x+4)+4 are not equivalent expressions

Step-by-step explanation:

Firs we need to expand 2(x+4)+4 using the distributive law as shown;

2(x+4)+4

=2(x) + 2(4) + 4

= 2x + 8 + 4

= 2x + 12

Since the result is not equivalent to 2x+8 hence 2x+8 and 2(x+4)+4 are not equivalent expressions

Answer:

The correct statements regarding correlation coefficient are:

1. Its absolute value cannot exceed 1.

2. A positive value indicates a strong correlation between the two variables; a negative value indicates a weak correlation between the two variables.

3. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive.

4. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find a positive.

Step-by-step explanation:

Correlation measures the strength of the relationship which exists between X and Y variables.   Regression, on the other hand, helps to establish a cause and effect between a dependent variable and an independent variable.

Answer: 1 = 9. 2 = 10. 3 = 8. 4 = 12. 5 = 10. 6 = 6.

Explaintion: All you need to do is take one of the horizontal rows and one of the vertical rows and multiply then.

Answer:

Renewable

Step-by-step explanation:

Answer:

A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.

Step-by-step explanation:

Exact Form:

2485"

Decimal Form:

49.6"

Mixed Number Form:

4935"

Answer:

813

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

x-1/5=x-1/2

2(x-1)=5(x-1)

2x-2=5x-5

-2=5x-5-2x

-2=3x-5

-2+5=3x

3=3x

1=x

x=1

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2

Step-by-step explanation:

340000 this is a answer ok

Answer:

x = 2√10  =   6.325

Step-by-step explanation:

a² +b² = c²      a = 6     b = 2    c = x

c = √(a² +b²)

c = √(6² +2²)

c = √(36 +4)

c = √(40)

c = 2√10        

Answer:

±11

11*11=121

-11*-11=121

Answer:

(0, 0) and (3, 0)

Step-by-step explanation:

Zeros of any equation means, value of variable x at y = 0.

Given quadratic equation is,

y = -x(x - 3)

For y = 0,

-x(x - 3) = 0

x = 0

And (x - 3) = 0

x = 3

Therefore, x-intercepts of the given quadratic equation will be,

x = 0, 3

Points showing the x-intercepts will be,

(0, 0) and (3, 0)

Answer:

Step-by-step explanation:

I don't think so

Answer:

10%

Step-by-step explanation:

Percentage increases is given by the formula:

[tex]percentage \: increases = \frac{increases}{original \: value} [/tex]

Increases = $550 - $500 = $50

Original Value: $500

substitute the values into the formula

[tex]percentage \: increases = \frac{50}{500} \times 100[/tex]

= 10%

Answer:

A is the answer

Step-by-step explanation:

The answer for:  The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?

Is 2,250 Students

Do not wear Glasses

Step-by-step explanation:

Answer:

Contradiction equation or no solution

Step-by-step explanation:

10 + 6 • -2 = 4 • 2 + 6

10 - 12 = 8 + 6

-2 = 14

This is a contradiction statement

Answer:

In the third month, Becca will be walking [tex]7[/tex] dogs

Step-by-step explanation:

The graph for the question is attached

Becca started her dog walking business with one dog

Additional dog she tries to walk every next month [tex]= 2[/tex]

The attached graph indicates that in the third month, Becca will be walking [tex]7[/tex] dogs

Answer:

4

Step-by-step explanation:

I know

Answer:

The answer is 260.

Step-by-step explanation:

15.6/.06=260.

9514 1404 393

Answer:

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

__

First line:

  m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0

The slope of the first line is zero.

__

Second line:

  m = (-5-1)/(4 -4) = -6/0 = undefined

The slope of the second line is undefined.

_____

It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.

Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.

Hello there! We're provided with two problems in one, but we can solve each of them by using the slope formula, which is this:

[tex]\stackrel\diamond{\boxed{\boxed{\bold{\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]

In this formula,

Plug in the values:

So the slope is 0.

       <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

The second problem can be solved the same way!

Once again, we'll use the formula

[tex]\stackrel\diamond{\boxed{\boxed{\bold{\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]

only this time, the values are different:

Plug in the values:

So the slope's undefined. I hope this helps, feel free to comment if you have any queries regarding the slope formula! ^^

Answer:

The object falls 384 feet in 4 seconds.

Step-by-step explanation:

This question can be solved by proportions, as the measures are directly proportional, using a rule of three.

An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.

288 feet - 3 seconds

x feet - 4 seconds

Applying cross multiplication

[tex]3x = 288*4[/tex]

[tex]x = \frac{288*4}{3}[/tex]

[tex]x = 384[/tex]

The object falls 384 feet in 4 seconds.

Answer:

fanboys

Step-by-step explanation:

for

and

nor

but

or

yet

so

Answer:

Step-by-step explanation:

B beacuse I did this before..

Answer:

$146

Step-by-step explanation:

1752/12 = 146