On average, people breath 10,000 times per night with a standard deviation of 1400. You study 50 people and record how many breaths they take per night. What is the probability that the average of all participants in the study was fewer than 10,200 breaths each night?I want answer with step by step.

Answers

Answer 1

ANSWER

[tex]\begin{equation*} 0.84375 \end{equation*}[/tex]

EXPLANATION

We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.

To do this, first, we have to find the z-score corresponding to the sample mean:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

where x = sample mean

μ = population mean

σ = standard deviation

n = sample size

Therefore, the z-score is:

[tex]\begin{gathered} z=\frac{10200-10000}{\frac{1400}{\sqrt{50}}}=\frac{10200-10000}{\frac{1400}{7.0711}} \\ z=\frac{200}{197.99} \\ z=1.01 \end{gathered}[/tex]

Now, using the standard normal table, we can find P(z < 1.01).

Therefore, the probabilityis:

[tex]P(z<1.01)=0.84375[/tex]

That is the answer.


Related Questions

What’s the answer plss

Answers

Answer: 18.1 cm, ( i think you can use a ruler)

Step-by-step explanation:

Suppose that g(x) = f(x) + 2. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 2 units to the left.
B. The graph of g(x) is the graph of f(x) shifted 2 units up.
C. The graph of g(x) is the graph of f(x) shifted 2 units to the right.
D. The graph of g(x) is the graph of f(x) shifted 2 units down.

Answers

The graph of g(x) with the graph of f(x): Option D, which is a shift of 2 units to the left, is correct.

What is Function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

We are aware that the graph of the modified function is:

for every parent function f(x).

g(x) = f(x + a)

is a left- or right-shift of the parent function f(x), depending on the value of a.

The shift is 'a' units to the left if a>0.

The shift is 'a' units to the right if a0.

Here, G(x) has been changed as follows:

G(x) = F(x + 2)

i.e. a=2>0.

2 units up: G(x) = F(x) + 2.

2 units down: G(x) = F(x) - 2.

2 units to the left: G(x) = F(x + 2).

2 units to the right: G(x) = F(x - 2).

Hence, Option D, which is a shift of 2 units to the left, is correct.

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Carter wants to use the model above to solve 273 ÷ 13. Explain how he would find parts A, B, and C of the model. Unfortunately I can’t show the model because “it hurts their feelings”

Answers

Answer: The answer to the division problem is 21

Answer: I know 273 divided by 13 is 21 but without the model I don't know what else you need. sorry!

Step-by-step explanation:

How is a number squared?Select one:a. Multiplying a number by 4. b. Multiplying a number by itself. c. Dividing a number by 4. d. Dividing a number by itself.

Answers

A number is squared when it is multiplied by itself.

Hence, the correct option is Option B

Cassie baked 24 cookies with 4 scoops of flour. How many scoops of flour does Cassie need in order to bake 42 cookies?

Answers

Answer:

7

Step-by-step explanation:

24 with four scoops is 6 with one scoop and 6 times 7 is 42 so 1 times 7 is 7 so the answer is 7 scoops

HELP ME PLSS OMLLL IMA CRY

Answers

Answer:

Remember, ratios are just fractions, and fractions are just division problems.

Step-by-step explanation:

Step-by-step explanation:

25%of 20 is 5

subtract from the total of the whole candy.

3) {(-7, 1), (2, -9), (-9, −4), (-1, -1), (-8, 0) }
Domain:
Range:

Answers

The domain would be: -7, 2, -9, -1, -8
The range would be: 1, -9, -4, -1, 0

A group of friends wants to go to the amusement park. They have no more than $760 to spend on parking and admission. Parking is $17.75, and tickets cost $33.50 per person, including tax. Which inequality can be used to determine x x, the maximum number of people who can go to the amusement park?

Answers

X= number of people who can go to the amusement park

$760 is the maximum they can spend so the total number they can spend has to be less than or equal to $760
Lets see

$33.5 per person and parking is $17.75
So
$33.5X + 17.75 <= 760

The width of a rectangle is 3 units less than the length. The area of the rectangle is 18
units. What is the length, in units, of the rectangle?

Answers

Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

-6+ (-3) how to find answer?

Answers

Answer:

-9

Step-by-step explanation:

−6 − 3

= −6 + −3

= -9

Answer:

-9!

Step-by-step explanation:

When you add negatives, it becomes more negative. Think of -6 getting 3 smaller.

What’s 4/6 - 1/3 simplified

Answers

Answer:

1/3

Step-by-step explanation:

(4/6) - (1/3)

The denominators need to be the same, so let's convert the second term to (2/6), which is the same as (1/3)

(1/3)*(2/2) = (2/6)

Now we can wite:

(4/6) - (2/6)

This is equal to 2/6 or 1/3

Hello!

The equation [tex]\frac{4}{6} - \frac{1}{3}[/tex] simplified is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Begin by giving both equations common denominators in this case we will use 18.

For the first set of fractions we multiply 4 by 3 to get 12 and for the second set of fractions we multiply 1 by 6 to get 6.

Our new set of fractions will look like this [tex]\frac{12}{18}[/tex][tex]- \frac{6}{18}[/tex]

Now we can subtract the numerators since our denominators match.

[tex]12-6=6[/tex] so the new answer will be [tex]\frac{6}{18}[/tex]

It's time to simplify both sets of fractions before we can completely solve the equation. (divide by 2, then 3)

[tex]\frac{6}{18}[/tex] ÷ [tex]2=\frac{3}{9}[/tex] ÷ [tex]3=\frac{1}{3}[/tex]

Since 3 is larger than 1 we are done reducing, time to solve for the final answer.

[tex]\frac{4}{6} -\frac{1}{3} =\frac{1}{3}[/tex]

Hope this helps!

(30 points) need help asap

Answers

Answer:

I don't know the value of X. The question says it's in question 2.

Step-by-step explanation:

Explanation on picture

what two numbers multiply to be -6 and add up to be -5

Answers

Answer: -2 and -3

Step-by-step explanation:

If the diameter of a circle is 20 , what is the area ?

Answers

the diameter of a circle is 20

The radius of circle is the half of the diameter of the circle :

Radius = Diamter/2

In the given question , we have Diameter = 20

So,

Radius = 20/2

Radius = 10

The expression for the radius 'r' of the circle is express as :

[tex]\text{ Area of Circle =}\Pi(radius)^2[/tex]

Substitute the value of Radius r = 10 in the expression of the area of circle:

[tex]\begin{gathered} \text{ Area of Circle =}\Pi(radius)^2 \\ \text{ Area of Circle =}\Pi(10)^2 \\ \text{ Area of Circle =}3.14\times10\times10 \\ \text{ Area of Circle =}3.14\times100 \\ \text{ Area of Circle =}314 \end{gathered}[/tex]

Area of the circle is 314

Answer : 314 unit square.

I really need help with this question

Answers

A is false a is not greater than b

what is the first step that contains an error

Answers

7+8x=0

first step -Subtract 7 from both sides.

7+8x-7=0-7

Step 2

8x=-7

Step 3

Divide both side by 8

[tex]\frac{8x}{8}=\frac{-7}{8}[/tex]

Instead of dividing the right hand side of equation in step 2 by 8, the right hand side is multiplied by 8 in step 3.

So, the error is in step 3.

answer these quick please!

Answers

Answer: The daily cost of production in a factory is calculated using

c(x) = 200 +16 x, where x is the number of complete products manufactured.

Complete products manufactured will can not be a decimal or fraction number.

The domain of function c(x) will be the set of  values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.

Option D) whole numbers is the right answer.

(4) f(1) = 3, f(n+1)=3f(n) - 2

Step-by-step explanation: I hope this helps.

Answer:

See attached worksheet

Step-by-step explanation:

Is 5^x a polynomial?

Answers

yes,  5^x a polynomial. a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

What is Polynomial?

a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

In the given expression 5^x x is a variable and 5 is a real number.

5^x is a finite polynomial or infinite polynomial. It depends upon the value of x. If x is finite then 5^x is a  finite polynomial  and if x is infinite then  5^x is a  infinite polynomial.

Hence If x is finite then 5^x is a finite polynomial  and if x is infinite then  5^x is a  infinite polynomial.

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PLEASE HELP ILL GIVE BRAINLIST ANYTHING PLEASE

n -3/8> -2/5

Answers

Answer:

n>-1/40

Step-by-step explanation:

Hope this helps!! (I promise...it's the right one)

Answer:

b) n > (-1/40)

Step-by-step explanation:

Given equation,

→ n - (3/8) > (-2/5)

Now the value of n will be,

→ n - (3/8) > (-2/5)

→ n > (-2/5) + (3/8)

→ n > (-16/40) + (15/40)

→ n > (-16 + 15)/40

→ [ n > (-1/40) ]

Hence, value of n is -1/40.

a triangle with a perimeter of 50 has side lengths x-1, 2x-3, and 3x "-6." what are the side lengths

Answers

The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

What exactly is the perimeter?Any closed shape's perimeter is just the total length of the its boundary.The perimeter of a shape is defined as the total length round the.It is the length of the outline or boundary of any two-dimensional geographic shape.The perimeters of different shape can be equal in size depending on the dimensions.

For the given question,

The perimeter of the triangle is 50 units.

The three sides of the triangle is given as;

x-1, 2x-3, and 3x - 6

The formula for finding the perimeter is;

Perimeter =  sum of all sides.

Let 'P' be the perimeter of the triangle. Then,

P = x-1 + 2x-3 + 3x - 6

Simplifying.

P = x + 2x + 3x - 1 - 3 - 6

50 = 6x - 10

6x = 60

x = 10

For the measure of the side length, put x = 10 in the sides.

10-1 = 9 units2×10-3 = 17 units3×10 - 6 = 24 units.

Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

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P(x) = -0.3x² + 75x - 2000, where x represents the selling price.

1. At what price should the stands be sold to earn the maximum profit?

2. According to the function given, what is the maximum profit that the company can make?

3. What are the break-even points (the selling prices for which the profit is 0)? Give the answer to the nearest cent.​

Answers

Answer:

Below in bold.

Step-by-step explanation:

P(x) = -0.3x² + 75x - 2000

Convert this to vertex form:

p(x) = -0.3(x^2 - 250)^2 - 2000

      = -0.3[(x - 125)^2 - 125^2] - 2000

      = -0.3[(x - 125)^2 - 15625] - 2000

      = -0.3(x - 125)^2 + 4687.5 - 2000

      = -0.3(x - 125)^2 + 2687.5

2687.5 is the maximum value of the profit.

1.  This corresponds to a selling price of $125 for the stands.

2.  Maximum profit is $2687.5.

3.  At the breaking points P(x) = 0:

-0.3(x - 125)^2 + 2687.5 = 0

(x - 125)^2 = 2687.5 / -0.3 = 8958.33

x - 125 = +/- sqrt( 8958.33)

x = 125 +/- sqrt( 8958.33)

x = 30.352, 219.648,

So, the breaking even points are $30.35 and $219.65 to nearest cent.

Select the correct answer. A chart shows a stock price model graph labeled the price of the stock in dollars along the y-axis and time in a day along the x-axis. Based on the stock price model, what is the best prediction of what the price will do next? A. hold value B. keep increasing C. start decreasing D. no way to predict

Answers

Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Kennedy has $0.81 worth of pennies and nickels. she has 9 more nickels than pennies. write a system of equations that could be used to determine the number of pennies and the number of nickels that kennedy has. define the variables that you use to write the system.

Answers

Variable used to write the equation are x,  Number of pennies and y, Number of nickels and the system of equations used is x+y=0.81 and  x+9=y.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let the variables defined to form the system of equation are as follows:

x= Number of pennies

y= Number of nickels

Total worth of  pennies and nickels is 0.81

mathematically, x+y=0.81

Given condition,  she has 9 more nickels than pennies

mathematically, x+9=y

So, the system of equation which can be used to determine the number of pennies and the number of nickels that Kennedy has are x+y=0.81 and  x+9=y, where variables used are x and y.

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(b)The graph of y = g(x) is shown. Draw the graph of g(2x). Will award 100 Brainly points
The points of the graph is (0,0) (2,-4) and (4,-2)

Answers

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

Horizontal stretch and compression

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

If a > 1, it is a compression by a factor of 1/a.If a < 1, it is a stretch by a factor of 1/a.

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

(0,0).(1,-4).(2,-2).

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

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Factor completely... Please help me with this

Answers

Answer: (5x - 1)(x + 9)

Step-by-step explanation:

    Please note the method of factoring may differ per class, but this is how I was taught.

    First, we will multiply the coefficient of x² by the constant.

5 * -9 = -45

   Next, we will find two numbers that add up to 44 (coefficient of x) and multiply to -45 (the number we got above).

-1 * 45 = 45

-1 + 45 = 44

       -1 and 45 ✓

   Now, we can start to factor. First, we will rewrite 44x.

5x² + 45x - 1x - 9

   Then, we will factor by grouping.

5x(x + 9) -1(x + 9) ➜ (5x - 1)(x + 9)

      The completely factored form is:

                    (5x - 1)(x + 9)

The numbered disks shown are placed in a boxand one disk is selected at random. Find theprobability of selecting an odd number, given that agreen disk is selected.Find the probability of selecting an odd number, given that a green disk is selected.(Type an integer or a simplified fraction.)

Answers

Given that the numbered disks are placed in a box, you need to find the probability of selecting an odd number, given that a green disk is selected.

Therefore, you need to use the Conditional Probability Formula:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

In this case, let be "A" the event of selecting an odd number, and "B" the event of selecting a green disk.

You can identify that:

- There are a total of 8 disks.

- There are 4 green disks that have odd numbers.

- There are a total of 7 green disks.

Therefore, you can determine that:

[tex]P(A\cap B)=\frac{4}{8}=\frac{1}{2}[/tex]

And:

[tex]P(B)=\frac{7}{8}[/tex]

Then, you can substitute values into the formula and evaluate:

[tex]P(A|B)=\frac{\frac{1}{2}}{\frac{7}{8}}=\frac{1\cdot8}{2\cdot7}=\frac{8}{14}=\frac{4}{7}[/tex]

Hence, the answer is:

[tex]\frac{4}{7}[/tex]

Which of the following is NOT an expression?
A
3x + 1

B
4x^2
​2
​​ - 6

C
5b

D
6y + 1z = 7x - 3w

Answers

Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A   3x + 1  (expression)

B  4x^2 2- 6 (unknow)

C) 5b (expeession)

D) 6y + 1z = 7x - 3w    (Equation)

a rectangle has a length that is twice the size of its width. if the perimeter of the rectangle is 48 inches, what is the area of the rectangle in square inches?

Answers

The area of the rectangle is, 128 square inches.

What is perimeter, area?

The area of a shape or figure is the area it occupies, whereas the perimeter of a shape is the distance it encircles on all sides

The square unit or unit2 is used as the unit of area, and the unit is also used for the perimeter.

Given: A rectangle has a length that is twice the size of its width. The perimeter of the rectangle is 48 inches.

Suppose the width of the rectangle is x.

So, the length is 2x.

As perimeter is 48 inches.

So, x + x + 2x + 2x = 48

6x = 48

x = 8 inch.

The width of the rectangle is 8 inches.

Therefore, the length of the rectangle is 2x = 2(8) = 16 inches.

Now to find area of the rectangle,

Since,

Area of rectangle =  length x width

                             =  16 x 8

Area of rectangle = 128 inch^2.

Therefore, the area of the rectangle is 128 square inches.

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On Saturday, 108 people hiked around Lake E. Find the total distance walked by the group.Use the standard algorithm to solve.

(I’ll give brainyest)

Answers

Answer:

1655.64 miles

Step-by-step explanation:

because 108 people times 15.33 miles for all the total people would be 1655.64 miles

1.39 to 1 decimal point

Answers

Answer: 1.4 or just 1

Step-by-step explanation:

But we are going to a decimal point then go to 1.4, cause the 9 makes the 3 round-up. :)

Answer: 1.4

Step-by-step explanation:

I believe you're asking what 1.39 rounded to the nearest tenths place is, in that case it is 1.4

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