The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)

Answer:

x = 12

Step-by-step explanation:

First, we need to find the last interior angle of the triangle. Since we know the exterior angle next to it is 140° and they are supplementary, meaning they form a 180° angle, we can make an equation to solve for the last angle.

∠SRT + 140° = 180°

∠SRT = 40°

Now we know that the last interior angle is 40°. All triangles have a sum of 180°, therefore we can once again set up an equation to solve for x.

3x + 4 + 8x + 4 + 40 = 180

11x + 48 = 180

11x = 132

x = 12

Therefore, x = 12.

Answer:

The area is 36 inches

Step-by-step explanation: 18 * 2 = 36

Answer:

[tex]\boxed {\boxed {\sf 18 \ inches^2}}[/tex]

Step-by-step explanation:

The area is the amount of space inside the shape. The area of a triangle is half the product of the base and height.

[tex]a= \frac{1}{2} bh[/tex]

The base of the triangle is 18 inches and the height is 2 inches.

Substitute the values into the formula.

[tex]a= \frac{1}{2} (18 \ in)(2 \ in)[/tex]

Multiply the numbers in parentheses.

[tex]a= \frac{1}{2}(36 \ in^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]a= 18 \ in^2[/tex]

The area of the triangle is 18 square inches.

Answer:

Easton entered in 25 shows last year.

Step-by-step explanation:

Given that Easton won best in show in 60% of the shows I have entered, to determine how many show was Easton entered if he won best in show 15 times last year, the following calculation must be performed:

60 = 15

100 = X

(100 x 15) / 60 = X

1,500 / 60 = X

25 = X

Therefore, Easton entered in 25 shows last year.

Answer:

y=-2/3x

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so first rearrange the given equation to find the gradient. y=3/2x-7/2

the gradient of the new line will be m=-2/3 then use the point (-3,-2) to find the equation of the line

y=mx+b

-2=(-2/3)(-3)+b

-2=2+b

b=0

y=-2/3x

ATQ,

= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]

= [tex] \dfrac{ 377}{150} + x = 5[/tex]

= [tex] x = 5 - \dfrac{ 377}{150}[/tex]

= [tex] x = \dfrac{ 373}{150}[/tex]

Answer

=727/150

Step-by-step explanation:

-13/25 + 21/18 + 21/18

= -13 + 105/25 + 21/18

= 92/25 + 21/18

= 1656 + 525/450

= 2181/450   =   727/150

Have nice day

Answer:

(x+1)(x+3)(x+5)

Step-by-step explanation:

Answer:

4 1/2 quarts.

Step-by-step explanation:

So 5 1/2 quarts to start. 4 left over.

Theres 4 cups in a quart.

So theres be 4 1/2 quarts used.. as 4 cups left would be a quart and 1 quart taken away from 5 1/2 quarts in 4 1/2.

Answer:

formula - 2 (wl + hl + hw)

559,872 is the answer from how I learned it.

If i'm right, please mark me brainliest ! (๑・ω-)～♥”

Step-by-step explanation:

#1 . the minimum height =

443 - 394 = 49 ft

#2. y = (394/2) + 49 = 197+49

=> y =246

#3. the amplitude is ½× diameter

= ½×394 = 197 ft

#4. the period of function is

the time that the wheel takes

one rotation =>30 minutes

Answer:

[tex]a:b = 8:3[/tex]

Step-by-step explanation:

To find the ration, we want to get in equation in the form [tex]\frac{a}{b} =\frac{x}{y}[/tex].

We can start by dividing by b on both sides:

3a = 8b

÷b     ÷b

[tex]\frac{3a}{b} = 8[/tex]

Now, we can divide by 3 on both sides to get:

[tex]\frac{a}{b} = \frac{8}{3}[/tex]

We can change the format into a ratio:

[tex]a:b = 8:3[/tex]

Answer:

2.9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

I'm pretty sure it is line plot

Answer:

you're answer is, 22

Answer:

Solution given;

[tex]11 \div \frac{1 }{2} = \frac{11}{ \frac{1}{2} } = 11 \times 2 = 22[/tex]

22 is a required answer:.

Answer:

1 no

angle 1 =53 degree (being vertically opposite angle)

angle 2=127 degree(being linear piar)

angle 3 =127 degree(being vertically opposite angles)

2 no

angle 1=155.1(being linear pair)

angle 2=24.9(being vertically opposite angles)

angle 3=155.1(beinf linear pair)

3 no

angle 1=68 degree(being linear pair)

angle 2=112 degree(being vertically opposite angle)

angle 3=68 degree(being vertically opposite angle)

4 no

angle 1=54.5 degree(being linear pair)

angle 2=125.5 degree(being vertically opposite angle)

angle 3=54.5 degree(being vertically oppostie angle)

Step-by-step explanation:

answer is -1 you can check it on the calculator

pleaseeee mark me as the BRAINLIEST pleaseeee

Step-by-step explanation:

(-)(-)=+

1−(−3)−5

1+3-5

4-5

-1

Answer:

There is one solution

(2, 2)

Step-by-step explanation:

The solutions are where the line and curve intersect.

The isone point of intersection and therefor one solution (2, 2)

Answer:

answer is b.) one

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

Since we are given the coordinates of A, and we know that another coordinate on segment OA is the origin, (0, 0), we can use that information in the slope formula to find the slope of segment OA:

[tex]m_{OA}=\frac{-3-0}{6-0}=-\frac{1}{2}[/tex]

Since segment OB is perpendicular to segment OA, then its slope is the opposite reciprocal of that of segment OA. Therefore, the slope of segment OB is 2. We will use that along with the coordinate of the origin to write the equation of OB in the slope-intercept form of a line:

y = mx + b where y = 0, x = 0, m = 2

0 = 2(0) + b so

b = 0 and the equation for the line is

y = 2x

Answer:

the height is 599.950

Step-by-step explanation:

The computation of the  horizontal length of the line  is shown below:

The vertical distance is

= 10.20ft - 2.50ft

= 7.70 ft

Now use the pythagoreans theorem to determine the length of the line horizontally i.e presented below;

√horizontal distance^2 + √vertical distance^2 = Slope

√horizontal distance^2 + √7.7^2 = 600

So the height is 599.950

(nevermind srry, that was wrong)

Answer: represents the growth factor which reveals the monthly interest rate.

Step-by-step explanation:

Anthony's account balance can be modeled by the general compound interest formula shown below, where P is the initial amount, r is the annual interest rate, n is the number of times that the interest in the account is compounded per year, and t is the time period.

Consider the given expression.

1250(1+0.06/12)^12t

In the given expression, "1" represents 100% of the money in the account at the start of the month and "" represents the percentage of the account balance that gets added into the account at the end of each month. This is the monthly interest rate and the entire expression,(1+0.06/12t) , is the factor of growth.

Therefore, (1+0.06/12t)represents the growth factor which reveals the monthly interest rate.

Step-by-step explanation:

Recall that

[tex] \cos(x + \pi) = \cos x \cos\pi - \sin x \sin\pi[/tex]

and

[tex] \sin(x - \pi) = \sin x \cos \pi - \cos x \sin \pi[/tex]

But we also know that

[tex] \cos \pi = - 1 \\ \sin \pi = 0 \: \: \: \: [/tex]

so the above relations reduce to

[tex] \cos(x + \pi) = - \cos x \\ \sin(x - \pi) = - \sin x [/tex]

Therefore,

[tex] \cos(x + \pi) - \sin(x - \pi) = - \cos x + \sin x [/tex]

Answer:

When something is inversely proportional it can be solved by using the equation:

y = k/x

where k is the constant.

So using this we can plug in x and y to find the value of k.

3 = k/4.

Next we isolate k and find that k = 12. Now we use this to find the value of y when x = 8. Plug in x and you get y = 12/8 or y = 3/2 or 1.5.

Another way to solve this is to look at how the value of x changes. When the value of x goes up, the value of y goes down.

In other words, when x is multiplied by some number, y is divided by that number. In this equation we can see that x is multiplied by 2 to go from 4 to 8.

Thus, y must be divided by 2.

Thus, y = 3/2 or 1.5.

Answer:

Step-by-step explanation:

y is inversely proportional to tan x means  

                                                            [tex]y \ \alpha \ \frac{1}{tan x}\\\\y = k \times \frac{1}{tanx}[/tex]

Given y = 2 when x =30° . So we will find k.

                            [tex]y =k \times \frac{1}{tanx } \\\\2 = k \times \frac{1}{tan 30}\\\\k = 2 \times tan 30 = 2 \times \frac{1}{\sqrt{3}} = \frac{2}{\sqrt{3} }[/tex]

Now x is doubled, x = 60°, find y

                         [tex]y = k \times \frac{1}{tanx}\\[/tex]

                            [tex]= \frac{2}{\sqrt{3}} \times \frac{1}{tan 60}\\\\= \frac{2}{\sqrt{3}} \times \sqrt{3}\\\\=2[/tex]

Answer:

Kelly will have to fill the cup 20 times.

Step-by-step explanation:

Volume of the cube:

Rectangular cube, so the volume of the cube is the multiplication of its three dimensions(3.8 inches, 2.5 inches and 7.2 inches).

V = 3.8*2.5*7.2 = 68.4 cubic inches.

If the bucket holds 1,368 cubic inches of water, how many times will Kelly have to fill the cup in order to fill the bucket?

Solved by proportions, using a rule of three.

1 time - 68.4 cubic inches

x times - 1368 cubic inches

Applying cross multiplication:

[tex]68.4x = 1368[/tex]

[tex]x = \frac{1368}{68.4}[/tex]

[tex]x = 20[/tex]

Kelly will have to fill the cup 20 times.

Answer:

The probability HydroPhil chooses a combination that includes the suede pants is 0.40

Step-by-step explanation:

Given

Let

[tex]P \to Platin um\ no se\ ri ng[/tex]

[tex]D \to Diamond\ shirt[/tex]

[tex]T \to Titanium\ boots[/tex]

[tex]S\to Suede\ pants[/tex]

[tex]B\to Beryllium\ hat[/tex]

Required

Probability of selecting a combination that has S

First, list out all possible combinations (A) of 2

[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]

The sample size is:

[tex]n(A) = 10[/tex]

The combinations that has S are:

[tex]S \to \{PS, DS, TS, SB\}[/tex]

The size is:

[tex]n(S) = 4[/tex]

So, the probability that he choose the combination that has S is:

[tex]Pr = \frac{n(S)}{n(A)}[/tex]

[tex]Pr = \frac{4}{10}[/tex]

[tex]Pr = 0.40[/tex]

Answer:

Since this (looks) like a homework assignment/test, I'll give you a hint.

Step-by-step explanation:

A function is where you have a input, that usually involves an equation that you have to replace the unknown with, to get the output.

Don't get it? Well, I didn't either.

What's great about this problem that you don't neccessarily have to know what the definition is.

A function can only output. So if you inputted the number 6, and got the output -3, you can't have another number that also had the output -3, and vice versa. This is my hint for the number 1.

Number 4 is a bit harder, but here's my hint:

Look for a pattern.

Answer:

mean : add all of them and divide by how much they are

mode: is what repeats it self like 15 is the most repeated.

Answer:

252

Step-by-step explanation:

To answer the equation, you first need to note that it asks for surface area.

To find surface area, you use an input formula, known as SA=2lw+2lh+2hw. 'H' stands for height, 'L' stands for length, and 'W' stands for width.

Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.

SA=2(6)(3)+2(6)(12)+2(12)(3)

SA=252

Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations.

Answer:

The half-life for the zombie population is of 8 years.

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]N(t) = N(0)(1-r)^t[/tex]

In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.

In this question:

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

Thus N(0) = 300, that is, initial population of 300.

What is the half-life for the zombie population?

This is t for which N(t) = 0.5*300 = 150. So

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]

[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]

[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]

[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]

Equal exponents, so:

[tex]\frac{t}{8} = 1[/tex]

[tex]t = 8[/tex]

The half-life for the zombie population is of 8 years.

Answer:

339.4cm³

Step-by-step explanation:

V

=

π

r

2

h

3

22/7×6²×9/3= 339.42