Graph the line.
y=3x

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Answer:60

Step-by-step explanation:

300 of 20% is 60

The number of qualified customers for the discount will be 60.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.

The number of qualified customers will be calculated as below:-

The qualified customers are 20% of 300.

Number = 300 x (20/100)

Number = 300 x 0.2

Multiply the number 330 with 0.2 to get the final value.

Number = 60

Therefore, the number of qualified customers for the discount will be 60.

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Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

quadratic formula

-b+-√b^2

2a

-2+-√2^2-4×1×-16

2×1

-2+-√68

2

either

x= 3.125

or

x= -5.125

Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

Answer:

I believe the question was written twice on accident

y=7x-38

Step-by-step explanation:

y-4=7(x-6)

y-4=7x-42

y=7x-38

Answer:

18

Step-by-step explanation:

2/6

4/12

6/18

Answer:

x = 18

Step-by-step explanation:

We can write ratios

2      2+4

---- = -----

6       x

Using cross products

2x = 6(2+4)

2x = 6(6)

2x = 36

Divide by 2

2x/2 = 36/2

x = 18

Step-by-step explanation:

everything can be found in the picture

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are  [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

B

Step-by-step explanation:

Answer:

I'm  so sorry I did not mean to answer! Ignore my response

Step-by-step explanation:

3 hour 30 minutes : 36 minutes

1 hour = 60 minutes

3 hour = 3×60 minutes = 180 minutes

3hour 30 minutes = 180 minutes + 30 minutes

                               = 210 minutes

210 minutes : 60 minutes

3 hours 30 minutes : 60 minutes = 6:2

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

Answer:

The area of triangle is 384 inches².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 32 inches × 24 inches.

multiply,

Area of triangle = 1/2 × 768 inches ²

Divide, we get

Area of triangle = 384 inches ²

Therefore, The area of triangle is 384 inches².

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3

Answer:

B

Step-by-step explanation:

Answer:

first you need to know that the the sum of the co-interior angle is  180 degree and the sum of the opposite side of  parallelogram is always equal.

now x+140=180(being co - interior angle)

or, x= 180-140

therefore, x =40 degree

y= 140 degree because sum of the opposite side of  parallelogram is always equal.

x= z=40 degree (sum of the opposite side of  parallelogram is always equal.

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Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

Answer:

30

Step-by-step explanation:

that is the procedure above

Answer:

55

Step-by-step explanation:

all of the angles in a triangle ALWAYS add up to 180 degrees.

do the math.

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

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Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Answer:

[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]

General Formulas and Concepts:

Multivariable Calculus

Cylindrical Coordinate Conversions:

Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²

Plane z = 2

Step 2: Find Volume Pt. 1

Find bounds of z.

∴ 0 ≤ r ≤ 2√3

Step 2: Find Volume Pt. 2

∴ 0 ≤ θ ≤ 2π

Step 3: Find Volume Pt. 3

∴ 2 ≤ z ≤ √(16 - r²)

Step 4: Find Volume Pt. 4

∴ the volume of the region is found with the integral above.

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Topic: Multivariable Calculus

Unit: Triple Integral Applications