At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.18 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would leave on time when it is not raining? Round your answer to the nearest thousandth.

The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2

The function is given as:

f(x) = 3|x - 2| + 6

The value of f(x) is

f(x) = 18

So, we have:

3|x - 2| + 6 = 18

Subtract 6 from both sides

3|x - 2| = 12

Divide both sides by 3

|x - 2| = 4

Remove the absolute bracket

x - 2 = 4 or x - 2 = -4

Add 2 to both sides

x = 6 or x = -2

Hence, the values of x are 6 and -2

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Answer:

[tex]V=12\pi\:\text{units}^3[/tex]

Step-by-step explanation:

[tex]\displaystyle V=\frac{\pi r^2h}{3}\\ \\V=\frac{\pi (3)^2(4)}{3}\\\\V=\pi(3)(4)\\\\V=12\pi[/tex]

Step-by-step explanation:

[tex] = 6 \times \frac{4}{15} \\ [/tex]

[tex] = \frac{6}{1} \times \frac{4}{15} \\ [/tex]

[tex] = \frac{24}{15} \\ [/tex]

Change into lowest term ....

[tex] = \frac{8}{5} \\ [/tex]

Change into mixed....

[tex] = 1 \ \frac{3}{5} \\ [/tex]

The measure of the angle is 205°. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

There are 4 quadrants and each quadrant has a measure of 90° angle.

The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.

90° + 90° = 180°

The arm has been in the third quadrant due to the additional 25° rotation.

180° + 25° = 205°

The measure of the angle is 205°.

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Answer:

$1320

Step-by-step explanation:

4%=0.04

Intrest = 0.04x8

Intrest = 0.32

Intrest = 1000x0.32

Intrest = 320

Then add 1000+320=1320

One benefit of attending trade school after high school is to learn practical skills.

A trade school is one which focuses on practical knowledge along with theoretical concepts. In a trade school, they will teach you about the end use of what you are studying.

They provide you with proper practical knowledge in a particular field like welding, machining, forging etc. It is very important to have practical skills along with theoretical subject knowledge.

It increases your chances of being selected by any company and also gives you more opportunities to learn.

Therefore benefit of attending trade school after high school is to learn practical skills.

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Answer: c. to learn a practical skill

Step-by-step explanation:

Answer:

D. 4/8

Step-by-step explanation:

To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.

Answer:

I think 24.

Step-by-step explanation:

Answer:

So, 5, 20, 45, 80,...5N2

Step-by-step explanation:

Divide the sequence by 5 and the answer becomes very obvious:

EX: 1, 4, 9, 16,...N2

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

Answer:

See below ~

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

The side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

The length of the side of the square and the height will be

6.98 cm and 13.96 cm.

Pyramid is a three dimensional Structure ,having square , rectangle , hexagonal base , the faces for a square pyramid and hexagonal pyramid are triangle meeting at one point .

It is given in the question that

A toy is being constructed in the shape of a pyramid.

the maximum amount of material to cover the sides and bottom of the pyramid is 250 square centimeters.

the height of the toy is double the side length

Let us assume the side length to be x

and therefore the height of the toy is 2x

The surface area of the toy is given = 250 sq.cm

First let us consider for a square base

The surface area of a square pyramid is given by

[tex]\rm A = a^2 + 2 a\sqrt {\dfrac{a^2}{4}+h^2}[/tex]

Here a is the side length which x for us and h = 2x

[tex]\rm 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+(2x)^2}\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+4x^2}\\\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{17 x^2}{4}}\\\\\\250 = x^2 + x^2 \sqrt{17}\\\\\\250 = 5.132 x^2\\\\\\48.71 = x^2\\\\\\x = 6.98 cm .[/tex]

Therefore the length of the side of the square and the height will be

6.98 cm and 13.96 cm.

For a hexagonal base

The total surface area is given by

[tex]A =6ah + 3 \sqrt{3}a^2\\\\\\A = 6 \times x \times 2x + 3\sqrt{3} (x)^2\\\\250= 12x^2 + 3\sqrt{3} x^2\\\\\\250 = 17.196 x^2\\\\\\14.54 = x^2\\\\x = 3.81 cm\\\\[/tex]

Therefore the side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

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Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

Answer:

$5,600

Step-by-step explanation:

1. divide 200 by 2 (this gives you the rate for 1 hour of book sales)

2. multiply the answer by 8 hours

3. multiply your answer (800) by $7

4. You solved it! $5,600 is how much money a company would earn if they sold books for 8 hours.

Answer:

Step-by-step explanation:

Step 1

Find how much books the company sells in 8 hours of selling books

To find this, we see that 2 hours = 200 books. Also, 8/2=4. That means that if we multiply 200 by 4, then we will get our total amount of books sold in 8 hours.

200x4=800

800 books sold in 8 hours

Step 2

Find how much money does 800 books equal to get FINAL ANSWER

To find this, we need to know the price of 1 book, the price of one book is 7$, that means that if we do 7$x800books, then we get our FINAL ANSWER

7x800=$5,600

Answer:

m = -1/3
b = 0
y = -1/3x

Step-by-step explanation:

The y-intercept is 0, so b is just 0. The slope of the line is 1/3 but it is decreasing not increasing, so it is negative. Then using the slope formula:
y = mx + b

y = -1/3x

Slope:-

Equation in point slope form

b=0

The radius of the cone is 7 feet

The given parameters are:

Surface Area, A = 216π

h = 8/3r

The surface area of a cone is:

[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]

Factor out r

[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]

Evaluate the exponent

[tex]216\pi = \pi r(r + r * 2.85)[/tex]

Evaluate the sum

[tex]216\pi = \pi r(3.85r)[/tex]

Divide both sides by pi

[tex]216 = 3.85r^2[/tex]

Divide both sides by 3.85

[tex]56.10 = r^2[/tex]

Take the square roots of both sides

r = 7 (approximately)

Hence, the radius of the cone is 7 feet

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Answer:

The radius is about 9 feet.

Hope this helps!

Step-by-step explanation:

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

        -0.5=-m/6. what is m?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

    ❖  First, multiply both sides by 6 to get rid of the fraction:-

 ▪︎ -0.5*6=-m/6*6

On the RHS, the 6's cancel:-

◆-0.5•6=-m

➪  [tex]\it{-3=-m}[/tex]

 ➪ [tex]\it{3=m}[/tex]

❒So we conclude that the value of m is 3.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

m = 3

Step-by-step explanation:

⇒ -0.5 = - m/6

Divide both sides by -1.

⇒ -0.5/-1 = -m/(6 × -1)

⇒ 0.5 = m/6

Multiply both sides by 6.

⇒ 0.5 × 6 = m/6 × 6

⇒ m = 3

Answer:

2nd option, (6x + 8)(x - 1) = 0

Step-by-step explanation:

Answer:

[tex](6x+8)(x-1)[/tex]

Step-by-step explanation:

We can separate the 2x into -6x + 8x. Then this will give us [tex]6x^2 - 6x + 8x - 8 = 0[/tex]. Now we can factor out a 6x and an 8 to give us [tex]6x(x-1) + 8(x-1) = (6x+8)(x-1)[/tex] by the distributive property.

Hope this helps! :)

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

   We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

[tex]~~~~~~3x^2 +2x -1 = 0\\\\\implies 3x^2 +3x -x -1 = 0\\\\\implies 3x(x+1) - (x+1)=0\\\\\implies (x+1)(3x-1) = 0\\\\\implies x = -1,~~ x = \dfrac 13[/tex]

Answer/Step-by-step explanation:

Given:

A gas station offers a lucky draw to customers. Each time you spend more than $20 on gas, you can make a draw to win a prize. The probability of winning a prize is 1/12 suppose you buy gas 4 times.

To Find:

what is the probability of you winning a prize each time?

Solve:

Since, it given that you buy gas 4 times. Thus that means:

1/12 × 1/12 × 1/12 × 1/12 or  1/12⁴

Now solving it:

1/12 × 1/12 × 1/12 × 1/12 = 1/20736

Which also means (0.0048%) in decimal form since, 1 divide by 2076 equal to 0.0048%

Kavinsky

Answer:

-18a⁸

Step-by-step explanation:

-2a²(-3a³)²
-2a²*9a⁶ (Opening the square)
-18a⁸

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

Answer:

18

Step-by-step explanation:

science 19 does not fit into 12, you would do 123/19 and the closes would be 19*6 which would get you 114 then you do 123-114 which is 9 then you bring down the 4 then it would be come 94 then you do 19*4 which would be 76 then you subtract 94 by 76 which would get you 18 and with nothing left you bring down, the remainder would be 18

Answer:

they look similar but one of them is upside down.

The measures of the missing angles are as follows:

a. 145°

b. 43°

c. 36°, 36° and 144°

When two lines intersect, angle relationship can be formed. The angles can be adjacent angles, vertical angles and many more.

Therefore,

a. 180 - 35 = 145 degrees( angle on a straight line)

b. 180- 47 - 90 = 43 degrees(angles on a straight line)

c. 144 degrees (vertical angles), 36 degrees and 36 degrees(angles on a point is 36 degrees)

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Answer: