In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

Answers

Answer 1

Answer:

Step-by-step explanation:

P(30<x<40)= P(x<40)-P(x<30)

P(x<40)= 0.321695458

P(x<30)= 0.010311534

0.321695458-0.010311534= 0.311383923


Related Questions

Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3

Answers

Answer:

  y +17 = -5/3(x -19)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

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

You want a line with slope -5/3 through point (19, -17). Its equation is ...

  y -(-17) = -5/3(x -19) . . . . . substitute the given values

  y +17 = -5/3(x -19) . . . . . simplify

First round 0.69 to the nearest tenth.

Answers

Answer:

0.69 rounded to the nearest tenth is 0.7

0.7 is the answer because you round the 69 round to 70.

If a total of 1100 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.

Answers

Answer:

Step-by-step explanation:

Let x = base side length

y = side height

volume V = x²y

y = V/x²

surface area

A = x² + 4xy

A = x² + 4x(V/x²)

A = x² + 4V/x

Solving for volume

V = (A - x²)(x/4)

V = ¼(Ax - x³)

a maximum will occur when the derivative equals zero

V' = ¼(A - 3x²)

0 = ¼(A - 3x²)

0 = A - 3x²

3x² = A

3x² = 1100

x² = (1100 / 3)

x = √(1100/3)

V = (A - x²)(x/4)

V = (1100 - √(1100/3))²(√(1100/3)/4)

V = 3,510.56606...

V = 3510.6 cm³

The box height will be half of the base side length.

y = ½√(1100/3)

Please help me I'll give you brainlist please​

Answers

Answer:

1.88 I think

Step-by-step explanation:

I just divided the bigger number by the smaller one to find the ratio

Answer:

1:0.53

Step-by-step explanation:

there are 81 oranges and 43 melons

so its 81:43

divide both by 81

81/81:43/81

1:0.53

The labor cost for a certain dish is $40 per hour. If it takes 45 minutes to make the dish, what is the labor cost for this particular dish?

Answers

30 dollars …………………………….

Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?

Answers

Answer:

how old is Madison right then I can't really help u solve it with that little info

What is the value of x?
(5x)
(3x+28)

Answers

Answer:

14

Step-by-step explanation:

if two sides are the same, their angle will also be the same

therefore

5x=3x+28

5x-3x=28

2x=28

x=14

The value of x in the triangle whose two sides are equal and the measure of angles is (5x)° and (3x + 28)° is 14.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The measures of the angles are (5x)° and (3x + 28)°,

As given the two sides of the triangle are equal, then the opposite angles will be equal,

Use the above concept and calculate the value of x as shown below,

5x = 3x + 28

Solve the above equation,

5x - 3x = 28  (Transform variable on the left side)

2x = 28

x = 28 / 2

x = 14

Thus, the value of x is 14.

To know more about the expression:

https://brainly.com/question/13947055

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Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.

Answers

Answer:

a. yes

b. yes

c. yes

d. no

a.

Solve the equation by rearranging

-2 + x = 0

x = 2

b.

If x < 2, x - 2 will always be negative

x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true

c.

If x > 2, x - 2 will always be positive

d.

If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2

These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2

Every year, the value of an antique vase appreciates by 20% of it's value in the previous year if the value of case was 180000 in 2012, find it's value in 2010.
guys I am giving you 100 POINTS!!!no cheating and I need answer that is 125000 and send me with solution?
and guys I need solution easy mean like percentage decreased or increased that is enough explanation for you all of you and if anybody who is free and can give answer right now so please answer me? i will mark you brainlest ok bye

Answers

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

In Direct formula method:

If the rate of appreciation r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:

V = I(1 + r)ⁿ

In our case, we need to work out the value of n which is number of years in between 2010 and 2012.

So, n = 2012 - 2010 = 2 years

Put the values we have:

⇛180000 = I(1.20)² [ Increases 20% every year ]

⇛180000 = 1.44I

⇛I = 180000/1.44

⇛I = 125000

So, in 2010, the value of the vase was $125000

⛱️ Another way of doing it is in the attachment!!

4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s

Answers

Answer:

the answer is 28$ because since the lbs get doubled so ypu also have to double the cost

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 5 x + 2 y = 14

Answers

Answer:

y=-5/2x-8

Step-by-step explanation:

Please mark as brainliest if correct

thanks ill mark brainliest​

Answers

If I'm watching Gossip Girl, then it is Monday.

Hope this helps you!

Answer:

if i am watching Gossip   Girl then it is monday

Step-by-step explanation:

that is the common sense that everyone should know

hope this helps everyone and have a great summer!

Find the scale factor in this proportional.

1/8 = 20/160

Answers

Answer: 20

Step-by-step explanation:

A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.

Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần​

Answers

no sabo la respuesta jajaja

What is the value of x? Midsegments of triangles

Answers

Hi how u doin ?

[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]

inverse both sides

[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]

Multiply both sides by 16

[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]

[tex]x + 4 = 32[/tex]

Subtract both sides 4

[tex]x + 4 - 4 = 32 - 4[/tex]

[tex]x = 28[/tex]

There u go..... Have a great day ❤

this is just and addition to the great posting below, just supplementing.

keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.


5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?

Answers

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Of all the species in the world, 4 out of every 5 are insects.
What percentage of species are insects?

Answers

Answer:

80%

Step-by-step explanation:

4 out of every 5 are insects

=> Insects = 4/5 of all the species

=> Insects = 80% of all the species

Hope this helps!

What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive

Answers

Answer:

B-NO CORRELATION.....

estimate the quotient 368/4​

Answers

Im pretty sure the quotient is 92

The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}

Answers

Answer:

18

Step-by-step explanation:

The solution set of the equation will be;

⇒ x = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''2/3 of a number is 12."

Now,

Since, The expression is,

''2/3 of a number is 12."

Let a number = x

So, We can formulate;

⇒ 2/3 of x = 12

⇒ 2/3 × x = 12

⇒ 2x = 12 × 3

⇒ 2x = 36

⇒ x = 36/2

⇒ x = 18

Thus, The solution set of the equation will be;

⇒ x = 18

Learn more about the mathematical expression visit:

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Solve for x and find the measure of each angle

Answers

Both angles combined equals 180, so you can write the equation like
x + 38 + 2x + 1 = 180
Once you solve this, you get
x = 47
You can then plug in x to the different sides to find the measure of each angle.
The angle on the left would be
47+38 which is 85
and the angle on the right would be
2(47)+1 which is 95

(14. Look at this number pattern. 72 - 49 672 = 4489 6672 = 444889 66672 = 44448889 This pattern continues. a) Write down the next line of the pattern. b) Use the pattern to work out 66666672.​

Answers

9514 1404 393

Answer:

next line: 66667^2 = 44444888896666667^2 = 44444448888889

Step-by-step explanation:

(a)

It appears term n is the square of the digit 7 prepended with (n-1) sixes. That square is n instances of the digit 4, followed by (n-1) instances of the digit 8, followed by the digit 9.

Then the 5th line of the pattern will be ...

  66667^2 = 4444488889

__

(b)

The 7th line of the pattern will be ...

  6666667^2 = 44444448888889

A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

Answers

Answer:

185.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

Width =7.5+3.9*2 = 15.3 cm

Length = 8.5+3.9*2=16.3 cm

Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]

Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]

area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]

HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.


The length of the rectangular pool is __ yd.

Answers

The length of the rectangle is 12 yd


For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles

Answers

Answer:

I’m not sure

Step-by-step explanation:

Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.

Answer:

purrrrrrrfect

Step-by-step explanation:

Help me poeaseeeeeeeeeeee

Answers

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

I have a question here. ​

Answers

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

_____

The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

how are planes named in geometry

Answers

A plane is a flat surface that extends infinitely in all directions. ... A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .

Answer:

Step-by-step explanation:

A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .

QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR

Answers

Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?

Answers

Answer:

310

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

is/of = % / 100

[tex]93/x = 30/100[/tex]

93 * 100=9300

9300/30 = 310

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