The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches what value is one standard deviation above the mean

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

1

3814697265625

Decimal Form:

2.62144 ⋅ 10 / 13

Step-by-step explanation:

Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

its 9 :)

Step-by-step explanation:

hkjgh

Answer:

[tex]64(in)^{3} [/tex]

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

[tex](lenght) \times (width) \times (height)[/tex]

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

[tex]8 \times 2 \times 4[/tex]

Multiply 8 by 2.

[tex]16 \times 4[/tex]

Multiply 16 by 4.

[tex]64 {in}^{3} [/tex]

Hence, the volume of the rectangle prism is 64(in)³.

Answer:

Step-by-step explanation:

Given dimensions:

Volume of the prism is:

Solution :

Let

[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4

      (4 levels vanilla, chocolate, red velvet and marbled)

The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3

Now defining the F test statistics for testing the significance of the factors, 'flavors' :

F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex]          ,   Ms = mean square

where F = [tex]$F_{k_1-1}$[/tex], error df.

Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3                                                                              

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Answer:

The graph shows a proportional relationship because t=50, and that pattern follows.

Step-by-step explanation:

The graph shows a proportional relationship because t=50, and that pattern follows.

The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.

The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, ​considering it for the car,

[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]

In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.

It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.

Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

Learn more about the speed here:

https://brainly.com/question/359790

#SPJ2

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

Read more about areas at:

https://brainly.com/question/24487155

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When multiplying exponents, you would add the degrees.

A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.

C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):

P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360

C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15

Long answer:

P(n, r) counts the number of permutations of n objects taken r at a time, given by

P(n, r) = n ! / (n - r )!

A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then

• there are 3! = 6 total possible permutations if we take all 3 numbers at once:

123, 132, 213, 231, 312, 321

• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:

12, 13, 21, 23, 31, 32

• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:

1, 2, 3

• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:

(the permutation itself is just empty space)

By contrast, C(n, r) counts the combinations of n items taken r at a time, given by

C(n, r) = P(n, r) / r !

A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have

• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:

123

(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)

• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:

12, 13, 23

• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:

1, 2, 3

• 3! / (0! (3-0)!) = 1 combination taking none of them:

(again, empty space)

The main point is that the order of objects is considered across permutations, while it's ignored across combinations.

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Step-by-step explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]

mary is the 4th childs nam,e

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

y=0x+6

Step-by-step explanation:

slope intercept form is: y=mx+b

Answer:

whts the question??

Step-by-step explanation:

Answer:

6 hours.

Step-by-step explanation:

To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.

Answer:

6 hours

Explanation:

240/40= 6

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729