Solve the following equations and check your solution using substitution.

5−x=−2

(BTW can you show the working out for the question)

The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.

Contract profit,   (P)* of profit, (P)* to break even loss, (P)* of loss

The company which will give the maximum profit probability and minimum loss probability will be the best investment.

In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.

Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

It's A. Southeast

Step-by-step explanation:

Answer:

I believe the correct answer is f^-1 (x) = x - 3/2

Answer:

7.744

Step-by-step explanation:

For this problem you have to work backwards

The equation for the volume is V = (area of circle) x height

So here, to solve the area of the circle, you need to divide the 235.5 by 5

So:

235.5 = (area of circle) x 5

Area of circle is 47.1

Then, you need to find the radius of the circle by using this equation for the area of a circle

[tex]A = \pi \cdot r^{2}[/tex]

So:

47.1 = π * [tex]r^{2}[/tex]

r = 3.872

This question is asking for the diameter, which is double the radius,

2 x 3.872 = 7.744

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

Answer: AAS

Step-by-step explanation:

The volume of the figure is the amount of space in the figure

The volume of the figure is 10488 cubic inches

The figure is a composite figure, and it contains:

The volume (V1) of the rectangular prism is:

V1 = Length * Width * Height

V1 = 18 in * 23 in * 16 in

V1 = 6624 cubic inches

The volume (V2) of the triangular prism is:

V2 = 0.5 * Base * Width * Height

V2 = 0.5 * 23 in * 16 in * 21 in

V2 = 3864 cubic inches

Add the volumes of both figures

V =  V1 + V2

V = 6624 cubic inches + 3864 cubic inches

V = 10488 cubic inches

Hence, the volume of the figure is 10488 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

The answer is D: 10488

Step-by-step explanation:

Answer:

48 ounce bag of granola per month.

T = 48x

Where 'x' represents the months.

Replace x with 12, because we want to know how many ounces she eats each year.

T = 48x

T = 48(12)

T = 576 ounces, she eats each year.

Answer:

20 2/5 cm

Step-by-step explanation:

4 ( 5 1/10)

4 × 51/10

2×51/5

0.4x51

=20 2/5

Step-by-step explanation:

X + Y = 90

Y = 24

X = 6x

X + 24 = 90

X = 66

x = X/6 = 66/6 = 11

y = 1

Step-by-step explanation:

X = 2y + 6

X³ - 8y³ - 36xy - 216 = 0

(subsitute)

(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0

(concentrate on first part)

(2y + 6)(2y + 6)(2y + 6)

(4y² + 12y + 12y + 36)(2y + 6)

(4y² + 24y + 36)(2y + 6)

8y³ + 24y² + 48y² + 144y + 72y + 216

(back to full equation)

8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0

(factor the last part)

-36(2y + 6)y

y(-72y - 216)

-72y² - 216y

(back to main equation)

8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0

(start to cancel out)

8y³ and -8y³ cancel

72y² + 216y + 216 - 72y² - 216y - 216 = 0

72y² and -72y² cancel

216y + 216 - 216y - 216 = 0

216y and -216y cancel

216 - 216 = 0

those cancel

0y = 0

add 1 to both sides

y = 1.

(I hope this helped)

Answer:

5.1 cm

Step-by-step explanation:

The equation for the circumference of a circle is 2πr or πd.

So, we can plug in 16 and 3.14 to get 16 = 3.14×diameter.

Divide both sides by 3.14 to get approximately 5.1 cm.

Hope that helps! :)

Answer:

See below ↓

Step-by-step explanation:

Information we need

Solving

Answer: 81

Step-by-step explanation:

90% is the same as 0.9

We can multiply .9 by 90 to see how many students are enrolled in health

0.9×90=81.0

Answer:

[tex]\huge\boxed{\sf 81\ students }[/tex]

Step-by-step explanation:

Total students = 90

Enrolled in health:

= 90 % of 90

[Key: "of" means "to multiply" and "%" means "out of hundred"]

[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]

So, 81 students are enrolled in health.

[tex]\rule[225]{225}{2}[/tex]

Answer:

30 degrees

Step-by-step explanation:

because if its 60 at the bottom and 30 on the left it only makes sense that it would be 30 on the right.

Also can you mark brainlyest you dont have to thoe

Answer:

$3.50

Step-by-step explanation:

For this question, you just take the price paid and divide it by the number of gallons.  In this case, you get $3.50 per gallon.

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]

- 5 + 5x = - 1 + 6x

- 5 + 5 + 5x = - 1 + 5 + 6x

5x = 4 + 6x

5x - 6x = 6x - 6x + 4

- x = 4

x = - 4

Answer:

The answer is that x = -4.

Step-by-step explanation:

You first take away the parenthesis so it would look like this: -5+5x=-1+6x

Then, you add 5 to both sides of the problem: -5+5x+5=-1+6x+5

Then, you simplify it down: 5x=6x+4

You then subtract 6x from each side: 5x-6x=6x+4-6x

Then simplify again: -x=4

Then, divide both sides by -1: -x/-1 = 4/-1

Then simplify to get x = -4.

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

Answer:

60 feet

Step-by-step explanation:

The easiest way to do this is to go answer by answer with the triangle area formula :)

Formula: A=hb/2

H = height

B: base

Now lets solve this :)

Choice 1: 50 feet

50 x 20 = 1000

1000/2 = 500

Choice 2: 40 feet

Since 40 feet is smaller than the 50, we know this will not be correct :)

Choice 3: 120 feet

120 x 20 = 2400

2400/2 = 1200

Choice 4: 60 feet

60 x 20 = 1200

1200/2 = 600

The correct answer is 4, 60 feet :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Hello fellow Human! ^ω^

The answer is option D. 0.308

Step-by-step explanation:

We are going to Compare the digits starting with the greatest place value.

Therefore, the answer is Option D. 0.308

Hope this helps!

Have an Awesome Friday!

Answer: If you want you can put 480 seconds or 8 minutes.

480 seconds = 8 minutes

Step-by-step explanation:

8 inches multiply by 60 feet

Step-by-step explanation:

please mark me as brainlest

Answer:

a)  5, -3, -4, 0

b)  Curve B

Step-by-step explanation:

Given equation:

[tex]y=x^2-4x[/tex]

Inputting the values of x into the equation to find the missing values of y:

[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]

[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]

[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]

[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]

[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]

According to the table:

Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Net profit is the amount of a business earn after deducting all the expenditure over it.

Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.

He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.

Using the regression graph, the quadratic equation we get for this data as,

[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]

For the 6 year value,

[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]

This value is much near to the option b which is $66,933.60.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Learn more about the Net profit here;

https://brainly.com/question/4177260

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

To know more about probability click the link given below.

brainly.com/question/11234923

#SPJ4

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

Convert the inverse cos and sin functions into inverse tan functions

Identity

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

⇒ tan⁻¹ (56/65)

⇒ RHS

⇒ Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

[tex]\rightarrow[/tex] Volume of prism.

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

The 100th term of the sequence is -273

Arithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference

first term a = 222

common difference, d = -5

nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d

T100 = a + ( 100 - 1 ) d

T100 = 222 + 99 * -5

T100 = -273

Read more on Arithmetic sequence here:

https://brainly.com/question/7882626

Answer:

22 tickets

Step-by-step explanation:

4/6 is 2/3
2/3 of 32 is 21 .3
Can't sell 0.3 of a ticket, so round up.
22 tickets