The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0

Answers:

====================================================

Explanations:

The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The graph is shown below.

Then the perimeter of the rectangle will be

P = 2 (length + width)

The length of the rectangle will be

L² = 2² + 8²

L² = 4 + 64

L² = 68

L = √68

The width of the rectangle will be

W² = 1² + 4²

W² = 1 + 16

W² = 17

W = √17

Then the perimeter will be

P = 2 (√17 + √68)

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[tex]f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\[/tex]

[tex]\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0[/tex]

Answer:

10 and please:

please see photo for detailed analysis

Answer:

3.5 centimeters

Step-by-step explanation:

75% of 2 cm = .75 x 2 = 1.5 cm

2 cm + 1.5 cm = 3.5 cm

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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Answer:

It would be a 3/10 or 30% chance.

Answer:

Step-by-step explanation:

3/10 or .30 or30%

Answer:

so first do nothing and just fail health class

The value of y that satisfies given conditions is y = - 8.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).

So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.

∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).

-6/8 = (y - 1)/12.

-3/4 = (y - 1)/12.

-36/4 = y - 1.

- 9 = y - 1.

 y = - 8.

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Answer:

Geary street :D

they intersect here

click on the photo. it's not a link it's a screenshot of where they intersect

Answer:

C

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr = πd ( d is the diameter and d = 2r ) , then

C = πd = 3.14 × 26 = 81.64 in

Answer:

[tex]32\sqrt{7}-24\sqrt{2}[/tex]

Step-by-step explanation:

[tex]8(4\sqrt{7}-\sqrt{18})\\\\8(4\sqrt{7}-3\sqrt{2})\\\\32\sqrt{7}-24\sqrt{2}[/tex]

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

    ♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~  ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪

[tex]\textsc{heya!}[/tex]

☑︎  what we need to do:

☑︎ what we are provided with:

[tex]\textsc{solution:}[/tex]

[tex]\textsc{explanation:}[/tex]

first, these are the points on our line:

• (-2, 10) • (4, -8)

what we need at this moment is the gradient (slope) of the line.

remember, there's a little formula that will help us find the gradient:

[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

our values are:

• (-2, 10) and (4, -8)

after substituting the values into the above formula, we obtain

[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]

after simplifying, we obtain

[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]

simplifying more,

[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]

dividing,

[tex]\large\text{$-3$}[/tex]

but that's only part of our problem. we need to find the equation, and we have the gradient only.

let's use the first point in our equation

• (-2, 10)

m is the gradient.

this is what we obtain after substituting the values

[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]

simplifying

[tex]\large\text{$y-10=-3(x+2)$}[/tex]

simplifying more

[tex]\large\text{$y-10=-3x-6$}[/tex]

moving 10 to the right side

[tex]\large\text{$y=-3x-6+10$}[/tex]

and finally

[tex]\large\text{$y=-3x+4$}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by:    • [tex]\textsc{$d^an_ci^ng$}[/tex]

[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = a and y = b

Step-by-step explanation:

The value of x and y

⠀

ax + by = a² + b² (equation 1)

bx - ay = 0 (equation 2)

⠀

{Taking equation 2}

[tex] \sf bx - ay = 0 [/tex]

{Taking ay on RHS}

[tex] \sf bx = ay[/tex]

{Dividing both sides by a}

[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]

{Now substituting the equation 3 in equation 1}

[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]

{Taking LCM on LHS}

[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]

{Dividing by (a² + b²) both sides}

[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]

{Now substituting the value of x in equation 3}

[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]

Answer:

35%

Step-by-step explanation:

Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:

21/60 = 0.35

0.35 x 100 = 35%

Hope this helps!!

Answer:

35%.

Step-by-step explanation:

Fraction that  are cats =  21 / (21+39)

= 21/60

= 100 * 21/60

= 35%.

Answer:

First step, find the missing angle (you will need this later on)

We know that the sum of all angles in a triangle equals to 180°, so

180° - 65° - 40° = 75° *that's your angle (next to the point L)

Now, identify each side (as shown in my drawing attached to this message)

The law of sines tells us that

(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.

So,  

pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)

*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.

*Notice that the sine of the angle relates to the length of the coloured sides

Calculate the following: sin 75, sin 40, sin 65.

Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.

Thus, sin 40 < sin 65< sin 75

Which corresponds to (from smallest to largest):

blue side, yellow side, pink side

*Now, write your answer in a mathematical format (using J,L,K points)

blue = JL (explanation: it connects the two points, LJ is also a valid answer)

yellow = LK

pink= JK

ANSWER: JL, LK, JK

Step-by-step explanation:

Use the Law of Sines *because you don't have a right angle triangle.

Answer:

36

Step-by-step explanation:

you do 4×9 = 36

she used 36 for each bag

Answer: x^2  i think

Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"

Answer:

I did the work and uploaded the answer as a picture for you

I hope it was helpful!!

Step-by-step explanation:

Answer:

9000 grams

Step-by-step explanation:

1 kg = 1000 g

1 * 9 kg = 1000 * 9 g

9 kg = 9000 g

Answer:

h=12

Step-by-step explanation:

by cross multiplying we get 1h=12 or h=12 so h=12

[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]

The area equation is:

A = (12x - 2)*(x + 8)

Which is a polynomial of degree 2, and the perimeter is:

P = 26x + 12

Remember that for a rectangle of length L and width W, the area is written as:

A = L*W

Here we know that:

L = (12x - 2)

W = (x + 8)

Then the equation for the area is:

A = (12x - 2)*(x + 8).

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W).

Replacing what we know, we get:

P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12

The area equation is:

A = (12x - 2)*(x + 8).

Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.

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The amount of the surface area covered with stickers is 0.6 or 60%

The amount of area to cover is given as:

Covered area = 3/5

Express as percentage

Covered area = 3/5 * 100%

Divide 3 by 5

Covered area = 0.6 * 100%

Evaluate the product

Covered area = 60%

Hence, the amount of the surface area covered with stickers is 0.6 or 60%

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Answer:

135.93

Step-by-step explanation:

I took the test

Answer:

C. (0;0).

Step-by-step explanation:

(0;0) only.

if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

Answer:

3.5 m/hr  

Step-by-step explanation:

2 + c   =   5 -c           c = speed of current

2 c = 3      c = current speed = 1.5 m/hr

                         your speed =   5 - 1.5    (or  2 + 1.5)  =  3.5 m/hr