These numbers are multiples of __________.
4, 8, 16, 24
A) 3
B) 4
C) 5
D) 6

Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, for the population, the mean and the standard deviation are given by, respectively:

[tex]\mu = 185.47, \sigma = 39[/tex].

For a sample of 37 passengers, we have that:

[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]

The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a p-value of 0.0026.

1 - 0.0026 = 0.9974.

There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.

To lern more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Function: y = 2x²-5

Find y-intercept:

y = 2(0)²-5

y = -5

Find x-intercept:

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

Answer:

Vertex and y-intercept (0, -5)

x-intercepts (-1.58, 0)  (1.58, 0)

opens upwards

other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)

Step-by-step explanation:

The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.

The y-intercept is when x = 0:

f(0) = 2(0)² - 5

      = - 5

Therefore, the y-intercept is at (0, -5)

We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]

The x-intercepts are when f(x) = 0:

[tex]\implies 2x^2 - 5 = 0[/tex]

[tex]\implies x^2 =\dfrac52[/tex]

[tex]\implies x=\pm1.58113883...[/tex]

As the leading coefficient is positive, the parabola opens upwards.

Finally, input values -2 ≤ x ≤ 2 to find plot points:

(-2, 3)

(-1, -3)

(0, -5)

(1, -3)

(2, 3)

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

Check the picture below, so it reaches the maximum height at the vertex, let's check where that is

[tex]h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}[/tex]

Answer:

x = 155

Step-by-step explanation:

[tex]\sqrt{x-11} +7=19[/tex]

[tex]\sqrt{x-11} =12[/tex]

[tex](\sqrt{x-11} )^2=12^2[/tex]

[tex]x-11=144[/tex]

x = 155

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

Answer:

A

Step-by-step explanation:

112/0.8 = 140

Answer:

A

Step-by-step explanation:

I am not sure about the answer

Answer:

sinΘ = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

using the identity

sin²x + cos²x = 1  ( subtract cos²x from both sides )

sin²x = 1 - cos²x ( take square root of both sides )

sinx = ± [tex]\sqrt{1-cos^2x}[/tex]

given

cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then

sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]

        = ± [tex]\sqrt{1-\frac{5}{9} }[/tex]

        = ± [tex]\sqrt{\frac{4}{9} }[/tex]

        = ± [tex]\frac{2}{3}[/tex]

since Θ is in quadrant II where sinΘ > 0 , then

sinΘ = [tex]\frac{2}{3}[/tex]

Answer:

5/4

Step-by-step explanation:

Hi there!

We are given the line 5x-4y=3, and we want to find the slope of it.

The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)

To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)

First, subtract 5x from both sides

5x-4y=3

-5x     -5x

____________

-4y = -5x + 3

Divide both sides by -4

[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]

In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.

Hope this helps!

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Answer:

$150

Step-by-step explanation:

let x be the original price

105 = 0.7x

150 = x

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]

Answer:

Step-by-step explanation:

Multiples refer to the way their numbers are counted from 1 to 100.

These numbers are multiples of 6.

Multiples of 6 are:

Therefore, the correct answer is C. 6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is C.

Step-by-step explanation:

6÷6=1

18÷6=3

24÷6=4

36÷6=6

Answer:

Step-by-step explanation:

Set equations as follows

20 years ago

Mike was four times as old as John:

Four years from now

Mike will be twice as old as John:

Simplify each equation

Solve for y by substitution

Find the value of x

I hope you can convert the above equations into required format. Let me know if not.

Answer:

(-3, -2)

Step-by-step explanation:

When a point is translated, the key words are very important to look at.

Up/down means you are translating the y axis.

Left/right means you are translating the x axis.

So using this key, we can solve.

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

A point located at (-3, 2) is translated down 4 units.

Since the point is going down, we will be translating the y axis. 2-4 is -2.

Since the x is staying the same, the x will be -3.

So your translated points are (-3, -2)

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

I hope this helps!

-No one

we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first

Step-by-step explanation:

sana po makatulong

Hello!

Circumference of a Circle

C=πd

or

C=2πr

Plug in the values

C=14π

C≈44 cm

C=2π×3.5

C≈22 cm

Hope everything is clear.

Let me know if you have any questions!
#KeepLearning

;-)

Answer:

the answer to your question is 5

Step-by-step explanation:

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

Find out more on triangle at: https://brainly.com/question/17335144

Answer:

I believe the answer is class 3 because each number of boys and girls goes into class 3.

Answer: Class 3.

Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10.  Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class.  Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.

Have a great day! :)

Answer:

The first one. Top left.

Step-by-step explanation:

The top right one makes a triangular prism.

I don't even know if the bottom right is even a thing.

The bottom left is a cube.

Answer: Top left.

Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles.  The net with only squares is the net of a cube, so that isn't right either.  The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.

Let me know if this is right! :)

[tex] \frac{3}{10 } = 0.3[/tex]

[tex]0.25 < 0.3 < 0.333[/tex]

[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]

[tex]0.25 < 0.32 < 0.333[/tex]

[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]

[tex]0.25 < 0.26 < 0.333[/tex]

[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]

[tex]0.25 < 0.28 < 0.333[/tex]

[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]

[tex]0.25 < 0.252 < 0.333[/tex]

[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]

The length of the rectangle is 48 yards.

Let's denote the width of the rectangle as "w" yards.

According to the information given, the length of the rectangle is 32 yards less than 10 times its width. So, the length can be represented as: 10w - 32 yards.

The formula for the area of a rectangle is length times width: Area = length × width.

Given that the area of the rectangle is 384 square yards, we can set up an equation:

Area = length × width

384 = (10w - 32) × w

Now, let's solve for the width (w):

384 = 10w² - 32w

0 = 10w² - 32w - 384

Dividing the equation by 2 to simplify:

0 = 5w² - 16w - 192

Now we have a quadratic equation. We can either factor it or use the quadratic formula to solve for "w." Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

For our equation, a = 5, b = -16, and c = -192. Plugging these values into the formula:

w = (16 ± √((-16)² - 4 × 5 × (-192))) / (2 × 5)

w = (16 ± √(256 + 3840)) / 10

w = (16 ± √4096) / 10

w = (16 ± 64) / 10

This gives us two possible solutions for the width:

w = (16 + 64) / 10 = 8 yards

w = (16 - 64) / 10 = -4.8 yards

Since width can't be negative, we'll ignore the second solution.

So, the width of the rectangle is 8 yards. Now, let's find the length using the earlier expression:

Length = 10w - 32

Length = 10 × 8 - 32

Length = 80 - 32

Length = 48 yards

Therefore, the length of the rectangle is 48 yards.

To know more about length:

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Step-by-step explanation:

first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min

we just multiply 50 by 3.6.

therefore the car travels 180km south west

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

Answer:

The Electric Car

The Cell Phone

The GPS

DNA Testing

3D Printing

Answer:

3. 13/36, 14/36, 15/36, 16/36, 17/36

4.

-0.5 -0.25 0 0.25 0.5

5. 0.05

3.

five rational numbers:

0.35, 0.4, 0.42, 0.45, 0.46

4. Given in the graph below.

5. (-2/5 + 1/2)/2 = 0.05

[tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

If one cup of chocolate chips weighs about 6 ounces

we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.

[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup

= 3 + 0.25

= 3.25 cups

Weight of 3.25 cups = 3.25 cups × 6 ounces/cup

Weight of 3.25 cups = 19.5 ounces

Therefore, [tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

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Answer: Archimedes

Step-by-step explanation:

Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.

Answer:

Archimedes is known as the Father Of Mathematics

Step-by-step explanation: