A sample of assistant professors on the business faculty at state supported institutions in Ohio revealed the mean income to be $32,000 for 9 months with a standard deviation of $3,000. Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750

Answer:

False

Step-by-step explanation:

It's been a while since I did this but here we go:

So to find if the triangle lengths are possible, we take the shorter two lengths and we add them.

Those shorter two lengths sum have to be greater than the longest length.

I hope this helps.

Answer:

Her u are asked to find the value of 'm'

We can do it by transposing values from LHS to RHS

Thus it will go like this

2m=8-2

2m=6

m=6/2

m=3

Answer:

2m=8-2

2m=6

m=6/2

m=3

Answer:

x=10

Step-by-step explanation:

Answer:

64 is 128% of 50

Step-by-step explanation:

The answer is 50!

I used a calculator.

1. 0.5.

2. 50

3. 81.92

4. 2

Answer:

(-22,17)

Step-by-step explanation:

Finding X co-ord for L:

M=x2-x1/2

-12=x2-2/2

-24=x2-2

-22=x2

Finding Y co-ord for L:

M=y2-y1/2

6=y2-5/2

12=y2-5

17=y2

Answer:

x = -4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

8x - 10x = 5 + 3

-2x = 8

x = 8/-2

x = -4

Answer:

The value of x would be 23

Step-by-step explanation:

You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would  be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.

4x+1=93

4x = 92

x = 23.

9514 1404 393

Answer:

  66

Step-by-step explanation:

Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.

  ∠A = 180° -61° -53° = 66°

The value of x is 66.

Answer:

1e+18

Step-by-step explanation:

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh

Answer:

a. [tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex] b. 7.44 s

Step-by-step explanation:

a. If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min.

Let m(t) be the mass of salt in the tank at any time, t.

Now, since a brine solution flows in at a rate of 4 L/min and has a concentration of 0.2 kg/L, the mass flowing in per minute is m' = 4 L/min × 0.2 kg/L = 0.8 kg/min

Now, the concentration in the tank of volume 100 L at any time, t is m(t)/100 L. Since water flows out at a rate of 3 L/min, the mass flowing out per minute is

m(t)/100 × 3 L/min = 3m(t)/100 kg/min

Now the net rate of change of mass of salt in the tank per minute dm/dt = mass flowing in -mass flowing out

dm/dt = 0.8 kg/min - 3m(t)/100 kg/min

So, dm/dt = 0.8 - 0.03m(t)

The initial mass of salt entering m(0) = 0 kg

dm/dt = 0.8 - 0.03m(t)

separating the variables, we have

dm/[0.8 - 0.03m(t)] = dt

Integrating, we have

∫dm/[0.8 - 0.03m(t)] = ∫dt

-0.03/-0.03 × ∫dm/[0.8 - 0.03m(t)] = ∫dt

1/(-0.03)∫-0.03dm/[0.8 - 0.03m(t)] = ∫dt

-1/0.03㏑[0.8 - 0.03m(t)] = t + C

㏑[0.8 - 0.03m(t)] = -0.03t - 0.03C

㏑[0.8 - 0.03m(t)] = -0.03t + C'  (C'= -0.03C)

taking exponents of both sides, we have

[tex]0.8 - 0.03m(t) = e^{-0.03t + C'} \\0.8 - 0.03m(t) = e^{-0.03t}e^{C'}\\0.8 - 0.03m(t) = Ae^{-0.03t} A = e^{C'}\\0.03m(t) = 0.8 - Ae^{-0.03t}\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\when t = 0 \\m(0) = 0\\m(0) = 26.67 - \frac{A}{0.03} e^{-0.03(0)}\\\\0 = 26.67 - \frac{A}{0.03} e^{0}\\26.67 = \frac{A}{0.03} \\\frac{A}{0.03} = 26.67\\\frac{A}{0.03} = 6.67\\A = 26.67 X 0.03\\A = 0.8\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\\\m(t) = 26.67 - \frac{0.8}{0.03} e^{-0.03t}\\[/tex]

So, the mass of the salt after t min is

[tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex]

b. When will the concentration of salt in the tank reach 0.1 kg/L?

When the concentration of the salt reaches 0.1 kg/L, m(t) = 0.1 kg/L

Solving the equation for t,

[tex]m(t) = 26.67 - 6.67e^{-0.03t}\\0.1 = 26.67 - 26.67e^{-0.03t}\\26.67e^{-0.03t} = 26.67 - 0.1\\26.67e^{-0.03t} = 26.57\\e^{-0.03t} = 26.56/26.67\\e^{-0.03t} = 0.9963\\[/tex]

taking natural logarithm of both sides, we have

-0.03t = ㏑0.9963

-0.03t = -0.0038

t = -0.0038/-0.03

t = 0.124 min

t = 0.124 × 60 s

t = 7.44 s

Answer:

Here it is

Step-by-step explanation:

#1. 3:4

#2. 3 to 4

#3. 3/4

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

Answer:

y= -1/2x+1

Step-by-step explanation:

9514 1404 393

Answer:

  m∠1 +m∠8 = 90°

Step-by-step explanation:

There is no necessary sum relation between angles 3 and 5 or angles 7 and 10. The only thing you can say about those angle pairs is ...

  ∠3 + 90° = ∠5

  ∠10 +90° = ∠7

Angles 8 and 9 are congruent, so don't have any necessary sum.

Angle 1 is congruent with angle 3, which is complementary to angle 8, so we must have ...

  m∠1 +m∠8 = 90°

Answer:

Step-by-step explanation:

Your answer

Price = 22$

TIP IN PRICE = 28.6$

Tip in discount = 30%

Mark it as Brainlist answer. Follow me.

Answer

Step-by-step explanation:

Answer:

1.18770

Step-by-step explanation:

zzzzzzzzzzzzzzzzz

The rounding up of 1.18769843885 to 5 decimal places is 1.18770.

The rounding up of numbers is an estimate that says if a digit is more than 5, that number can be considered as one and added to the next preceding number.

To round up a number in a decimal place, we need to start counting our decimal place after the decimal point.

Here,

So, 1.18769843885 becomes:

= 1.18770

Learn more about rounding up in decimal places here:

https://brainly.com/question/235613

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Answer:

4x

Step-by-step explanation:

2x(-1+3)

distributive property: -2x+6x

-2x+6x=4x

Answer:

The fraction of space taken by coral is 3/20 in the aquarium.

Step-by-step explanation:

The fraction of space taken by coral is C=3/8of2/5 in the aquarium.

•C=3/8.2/5=6/40=3/20

The fraction of space taken by coral is 3/20 in the aquarium.

I hope it's helpful!

Answer:

Third option is the correct answer

Step-by-step explanation:

[tex] \angle XYW\cong \angle ZYW[/tex]

Answer:

Step-by-step explanation:

Angle XYW is congruent to angle ZYW

Answer:

no sé jajajajajajjajajajaja

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

Answer:

y=2x+6

Step-by-step explanation:

Slope of line is 2

Plug slope and first set of coords into point-slope intercept form

Answer:

Answer is 10/12 , 15/18 , 20/24 , 25/30 .

Step-by-step explanation:

1. 5/6 { Multiply both numerator and denominator with 2 }

5/6 = 10/12

2. 5/6 { Multiply both numerator and denominator with 3 }

5/6 = 15/18

3. 5/6 { Multiply both numerator and denominator with 4 }

5/6 = 20/24

4. 5/6 { Multiply both numerator and denominator with 5}

5/6 = 25/30

Answer:

a.+37 b.-19 c.+130 d.+43

Step-by-step explanation:

a.72-35 b.21-40 c.250-120 d,68-15

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

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

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

Learn more about the mathematical expression visit:

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