Mathematics High School

Which of these is an example of continuous random variable

A. Number of flights leaving an airport
B. Distance of a javelin throw
C. Pieces of mail in your mailbox
D. Attendance at a sporting event

Answers

Answer 1
The correct answer would be Choice B. Distance of a javelin throw.

A continuous random variable is a variable that can be any number between the integers not just the integers themselves.

For example, the distance for a javelin throw could be 6.70819203 feet.
However, you would not say that you have 6.70819203 flights, pieces of mail or people at a sporting event.
Answer 2
Final answer:

The B. distance of a javelin throw is an example of a continuous random variable.

Explanation:

A continuous random variable is a variable that can take any value within a specified range, often associated with measurements and quantities. Unlike discrete variables, it can assume an infinite number of values, typically represented by intervals on the real number line.

Out of the given options, the distance of a javelin throw is an example of a continuous random variable. A continuous random variable is one that can take on any value within a given range. In the case of a javelin throw, the distance can be any real number value within a certain range, such as 0 to infinity. This is in contrast to the other options, which are discrete random variables that can only take on specific whole number values.

Related Questions

in the box below, enter the value that missing from the table.

Answers

it will take 5 hours for you to get home
For this case we have the following equation:
 d = v * t
 Where,
 d: distance
 v: speed
 t: time
 Clearing the time we have:
 t = d / v
 Rewriting:
 t = d * (1 / v)
 We look for the value of d:
 For t = 1, v = 75 we have:
 1 = d * (1/75)
 d = 75
 Then, v = 15 we have:
 t = 75 * (1/15)
 t = 5 hours
 Answer:
 The value that is missing from the table is:
 t = 5 hours

Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).

Answers

Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).
y−1=34(x+2)
the equation above can be written in the form of y=ax+b, as follows:
y-1=34x+68
y=34x+69
the slope of the line is a=34
the slope of the perpendicular line will be:
m=-1/34
thus the equation of the perpendicular line cutting through (-4,-2) will be:
m(x-x1)=y-y1
thus
-1/34(x-(-4))=y-(-2)
-1/34x-4/34=y+2
y=-1/34x-36/17
Answer: y=-1/34x-36/17

Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).

A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.

A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 16 meters and its width from left to right is 16 meters.

What is the vertical clearance 7 m from the edge of the tunnel?

15.4 m
0.3 m
15.7 m
0.6 m

Answers

Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4

y=ax^2→y=-(1/4)x^2

7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4

Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m

Please, see the attached file.

Answer: Third option 15.75 m
the basic formula of a parabola is;

y -k= 4a (x-h)^2

Solving for this, the vertical clearance 7m forom the edge of the tunnel must be

15.7m

Hope this helps! Goodluck!

Find 2 numbers that have... a product of 49 and a sum of 14

Answers

Hey there! Two numbers is 7 and 7! (Product=multiply) 7x7=49 and (Sum=add) 7+7=14! Hope this helped! Have a nice day!

Based on the graph, which statement BEST describes what is happening to the temperature over time?

A.The temperature rises 10 degrees over 3 hours.
B.The temperature rises 10 degrees over 6 hours.
C.The temperature rises 40 degrees over 3 hours.
D.The temperature rises 50 degrees over 6 hours.

Answers

I am pretty sure that the right answer is A. 

plz help
(4+3.2)×[(9−2)+2.5]

Answers

The first step for solving this expression is to add the numbers in the first parenthesis.
7.2((9 - 2) + 2.5)
Subtract the numbers in the parenthesis found inside the other parenthesis.
7.2(7 + 2.5)
Add the numbers in the parenthesis.
7.2(9.5)
Now multiply the two numbers together to get your final answer.
68.4
This means the expression (4 + 3.2) × ((9 − 2) + 2.5)is equal to 68.4.
Let me know if you have any further questions.
:)

A relay team ran a race. Each team member ran #1/4# of the distance. The whole race was #8/9# mile. How far did each team member run?

Answers

Each member ran 2/9 miles

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial

Tip: Every 2 after 3x is an exponent.. so it would be 3x^2

Answers

The answer is 3x2 − 11x + 8 will be a polynomial
Simply because polynomials have solutions. 3x2 − 11x + 8 does have 2 solutions.

f(x) = cos(x)
f'(x) = -sin(x)
f'(π/2) = -sin(π/2)
f'(π/2) = -1

My answer to this question is A. -1, but I am posting it here because several students got B. +1 as their answer. Can anyone confirm the answer as A?

Answers

Your working out is correct. The appropriate answer is ...
  A. -1

For confirmation, check a graph of cos(x) at π/2. It has negative slope at that point.
Your answer would be -1. 

A laptop company has discovered their cost and revenue functions for each day: c(x) = 3x2 − 10x + 200 and r(x) = −2x2 + 100x + 50. if they want to make a profit, what is the range of laptops per day that they should produce? round to the nearest number which would generate profit.

Answers

Given that:
c(x) = 3x2 − 10x + 200
and
r(x)=−2x2 + 100x + 50

Profit is given by:
P(x)=r(x)-c(x)

P(x)=(−2x2 + 100x + 50)-(3x2 − 10x + 200)
P(x)=-5x^2+110x-150
thus:
at maximum profit P'(x)=0
thus:
P'(x)=-10x+110=0
hence:
x=11
thus the number of units required for one to make profit is 11 units

Solve the equation. Check for extraneous solutions

please help!!!

Answers

!z!=a→z=a or z=-a; z=4x+3, a=9+2x

!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3

Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution 

2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2

Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution

Answer:
x = -2 or 3 

The sides of a rectangle are in a 3:4 ratio. What is the length of the shorter sides of the rectangle if it's perimeter is 42cm

Answers

Final answer:

Given a rectangle with sides in a 3:4 ratio and a perimeter of 42 cm, the length of the shortest side is 9 cm.

Explanation:

We are given that the sides of the rectangle are in a 3:4 ratio and that the perimeter is 42 cm. The rectangular perimeter is calculated by the formula 2*(length + width). In this case, because the sides are in a 3:4 ratio, we can say 2*(3x + 4x) = 42, where 'x' represents the length of the shortest side.

Solve this equation, 2*(7x) = 42, we find that 'x' is 3. So the length of the shorter side, 3x, is 9 cm. Applying the same 3:4 ratio, the longer side, 4x, is 12 cm.

Learn more about Rectangle side lengths here:

https://brainly.com/question/16605856

#SPJ12

Final answer:

To find the length of the shorter side of a rectangle with sides in a 3:4 ratio and a perimeter of 42cm, we set up an equation using the ratio values as coefficients and the known perimeter. Solving this equation shows that a unit in the ratio equals 3cm and the shorter side is 9cm.

Explanation:

In this mathematics problem, we are trying to find the length of the shorter side of a rectangle, knowing that the sides are in a 3:4 ratio and that the perimeter is 42cm. The perimeter of a rectangle can be found by using the equation [tex]P=2L+2W[/tex] (Perimeter equals twice the length plus twice the width).

If we represent the shorter side as 3x and longer side as 4x, we can establish the following equation based on the given perimeter:[tex]2*(3x)+2*(4x)=42c[/tex]m. Simplifying this equation gives 14x=42cm. Solving for 'x', we find x=3. Therefore, each unit in the ratio corresponds to 3cm, and the length of the shorter side, represented by 3x, is [tex]3*3=9[/tex]cm.

Learn more about ratio here:

https://brainly.com/question/32531170

#SPJ12

The hypotenuse of a right triangle is 5 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.

Answers

The shortest side is 3 m and the other side is 4 m. If you put all these numbers in the Pythagorean Theorem it checks out. (3^2+4^2=5^2)
Final answer:

The Pythagorean theorem is used to determine the lengths of a right triangle's sides. When we know the hypotenuse length and the fact that one leg is 1m longer than the other, we can solve for the lengths to be approximately 3m and 4m.

Explanation:

The subject of your question is related to the geometric concept of right triangles and the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

In this problem, we know the hypotenuse = 5m and the longer leg is 1m longer than the shorter leg. Let's denote the shorter leg as 'x' m. Consequently, the longer leg is 'x+1' m. Applying the Pythagorean theorem, we get: (x)² + (x+1)² = 5².

Solving this equation, we find x~3m (shorter leg) and x+1~4m (longer leg). These are the lengths of the sides of your right triangle.

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

#SPJ3

Consider the following set of equations:

Equation A: y = −x + 5
Equation B: y = 6x − 2

Which of the following is a step that can be used to find the solution to the set of equations?

−x = 6x + 2
−x − 2 = 6x + 5
−x + 5 = 6x – 2
−x + 5 = 5x

Answers

Since Y equals BOTH (-X+5) and (6X-2), you can set the two equations equal to eacher other; therefore, the answer is: C: -X+5=6X-2

Find the sum or difference: 2.8 - -5.1

Answers

2.8-(-5.1)

-(-5.1)=5.1

2.8+5.1= 7.9

Is this what you were asking?

Subtracting means adding the opposite.Subtracting -5.1 means adding the opposite of -5.1 which is +5.1.
2.8 - (-5.1) = 2.8 + (+5.1) = 2.8 + 5.1 = 7.9

Which of the following steps could be used as a shortcut method to multiply 12 by 50

Answers

do 12 times 5 then add a zero to it
You can take the zero off 50 and do 12 times 5=60 and add the zero on and get =600

Help quick please!!! Find the value of x

Answers

Hello!

First you have to find the missing angle in the triangle

The angles in a triangle add to 180°

180 - 97 - 30 = 53

The angle we just found and angle x form a straight line meaning they add to 180°

180 - 53 = 127

The answer is 127°

Hope this helps!
Hi! 

X is part of a straight angle, which should add up to 180°.

So first we need to figure out what the other side of this straight angle is. Since the other side is inside the triangle, it should be easy. 

All angles in any triangle always add up to exactly 180°. To figure out what the last angle is in the triangle, we just need to add the two existing angle measurements together and subtract the sum from 180. 

97 + 30 = 127

180 - 127 = 53

So the last angle in the triangle is 53°.

Now, we can figure out the value of x. Since x is part of a 180° straight angle, and we know that half of said angle is 53°, we can find x by subtracting 53 from 180.

180 - 53 = 127


x = 127

Hope this helps :)

Can someone help me solve this ??

Answers

The external angle at the intersection of two secants is half the difference of the intercepted arcs. That is

∠E = (1/2)(4x° -2x°) = x°

The given measure of arc AB tells you

... 4x° = 56°

... x° = 14°

The appropriate choice is ...

... B. 14°

What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)? P'( , )

Answers

Answer: (-7, 4)

Step-by-step explanation:

A farmer planted corn in a square field.one side of the field measures 36 yards. what is the area of the cornfield

Answers

Area = 36 x 36 = 1296 yd²

Answer: 296 yd²

Answer:

1,296 ik im late but yeah

Step-by-step explanation:

Compare the functions shown below:


f(x)

cosine graph with points at 0, negative 1 and pi over 2, 1 and pi, 3 and 3 pi over 2, 1 and 2 pi, negative 1
g(x)

x y
−6 −11
−5 −6
−4 −3
−3 −2
−2 −3
−1 −6
0 −11
h(x) = 2 cos x + 1


Which function has the greatest maximum y-value?

a. f(x)
b. g(x)
c. g(x) and h(x)
d. f(x) and h(x)

Answers

We can find the local maxima and minima of any -continous- function by first finding where the slope is 0, as at this point maxima or minima exist.

Given an arbitrary function '[tex]f(x)[/tex]' we find the point of slope 0 by taking its first derivative and equaling to 0 ('[tex] \frac{d}{dx}f(x)=0 [/tex]').

Lets, first, find the local extremes of the first function:
[tex]f(x)=cos(x)[/tex]
[tex] \frac{d}{dx} f(x)=\frac{d}{dx}cos(x)=-sin(x)=0[/tex]
[tex]x=sin^{-1} (0)=0[/tex]

So our first function has a maxima at '[tex]x=0[/tex]' or at '[tex]y=f(0)=cos(0)=1[/tex]'.

Now we get the extremes for the second function:
[tex]h(x)=2cos(x)+1[/tex]
[tex]\frac{d}{dx} h(x)=\frac{d}{dx}[2cos(x)+1]=-2sin(x)=0[/tex]
[tex]x=0[/tex]

So our second function has a maxima at '[tex]x=0[/tex]' or at '[tex]y=h(0)=2cos(0)+1=3[/tex]'.

Clearly, '[tex]h(0)=3\ \textgreater \ f(0)=1[/tex]', this means the second function '[tex]h(x)[/tex]' has the largest maxima -y value-.


Answer:

f(x) and h(x)

Step-by-step explanation:

f(x) and h(x) have the greatest maximum y-value because if you graph out all the equations you can determine by graph which ones have the greatest y-value. When you graph the equations you find that f(x) and h(x) both have a greatest y-value of 3! While g(x) has a greatest y-value of -2.

*Please note that it is looking for the greatest y-VALUE not the greatest y-INTERCEPT.

Express answer in exact form.

A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.

(Hint: remember Corollary 1--the area of an equilateral triangle is 1/4 s2 √3.)


Answers

we know that
the regular hexagon can be divided into 6 equilateral triangles

area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to 1/6 of the area of ​​the circle minus the area of ​​1 equilateral triangle
so
 [ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
 [ (3/2)*pi in²-(9/4)*√3 in²]

Solve 4/7=x+3/21 need help ASAP

Answers

4/7 = x+3/ 21

21 (4/7 = x+3)

3 *4=x+3

x= 9

The baseball team has sold tickets to a spaghetti dinner. forty-eight student tickets have been sold at $1.50 each. if the baseball team has made $149 total from the sale of all tickets, and adult tickets cost $3.50, how many adult tickets were sold?

Answers

Let the number of adults be x
number of students is 48
Amount collected from students=48*(1.5)=$72
Amount collected from adults=3.5*x=3.5x

Total amount collected will be:
72+3.5x=149
solving for x we have:
3.5x=149-72
3.5x=77
thus
x=77/3.5
x=22
thus the number of adults was x =22

find the volume of the composite figure. round your answer to the nearest hundredth

Answers

611.08

Be sure to treat the two shapes as completely different figures, then add their totals together 

The correct answer is 590.77mm3.

Consider the equation x^2 + 12x + c = 0. If c = -28, list the steps to solve the equation by completing the square, and give the solution or solutions.

Answers

x^2+12x-28
(x-2)(x+14)

Solve for x
x-2=0
x=2

x+14=0
x=-14

The solutions of the equation x² + 12x - 28 = 0 are x = 2 or x = -14.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

To solve the equation x² + 12x + c = 0, where c = -28, by completing the square.

Substitute c = -28 into the equation to get x² + 12x - 28 = 0.

x²  + 12x = 28

Complete the square by adding the square of half the coefficient of x to both sides of the equation:

x²  + 12x + (12/2)² = 28 + (12/2)²

x² + 12x + 36 = 64

(x + 6)²  = 64

Take the square root of both sides of the equation.

x + 6 = ±8

x=8-6=2

x=-8-6=-14

Hence, the solutions of the equation x² + 12x - 28 = 0 are x = 2 or x = -14.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

MANY POINTS!!

When adding fractions, make sure the ______ are the same, and then add the _______.

Answers

denominators and numerators
When adding fractions make sure the denominators are the same, and then add the numerators.

I hope this helps :)

A crowd of 50,000 fans is expected to attend the homecoming football game. if the typical vendor can serve 1,500 customers per hour and the game will last for four hours, how many vendors are needed to ensure that each fan can be served during the game? (round to the nearest whole number.) a) 9 b) 10 c) 8 d) 1

Answers

Since every hour, a vendor sells to 1500 customers, we multiply by hours, like this:


1500 * 4 = 6000.


Then we divide 50000/6000, and that would give us 8.33333333, and we round that to the next number which is 9, and that's the answer.


Answer: 9 vendors.


Hope this helped! c:

Using Multiplication, There are 9 vendors are needed to ensure that each fan can be served during the game.

What is Multiplication?

Multiplication is to "increase a number by the number of times mentioned".

According to the question,

Number of fans expected to attend a football game = 50,000

Number of customer to be served = 1,500per hour

To find number of customer to be served for 50,000 fans

The game has to be last for 4 hours.

Formula :  1 vendor is to sell 1,500 customer per hour

4*1500 = 6000

A vendor has to sell 6000 customers in 4 hours.

In order to find the number of vendors have to sell 50,000 customers in 4 hours

Let 'x' be the number of vendors

To find the number of vendors only if we divide 50,000  by 6000

=[tex]\frac{50,000}{6000}[/tex] = 8.333 ≈ 9

Hence, there are 9 vendors are needed to ensure that each fan can be served during the game.

To learn more about Multiplication here

https://brainly.com/question/20811631

#SPJ2

               

           

 

Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which equation best represent how tall the sunflower will b in x weeks

Answers

For this case we have an equation of the form:
 y = A (b) ^ x
 Where,
 A: initial height
 b: growth rate
 x: time
 Substituting values we have:
 y = 6 (2) ^ x
 Answer:
 An equation that best represent how tall the sunflower will b in x weeks is:
 y = 6 (2) ^ x

Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other.
9
7
8
6.6

Answers

Hello!

You have to find out happened between triangles

6 / 3 = 2
10 / 5 = 2

They multiplied the first triangle by 2 to get the second

Apply this to find the missing side

4 * 2 = 8

The answer is 8

Hope this helps!

Answer:

The correct option is:  8

Step-by-step explanation:

Suppose, the missing side length in second triangle is [tex]x[/tex]

So, the side lengths of first triangle:  [tex]3, 4, 5[/tex]

and the side lengths of second triangle:  [tex]6, x, 10[/tex]

As two triangles are similar, that means their corresponding side lengths will be proportional.

So,

[tex]\frac{3}{6}=\frac{4}{x}\\ \\ 3x= 4*6\\ \\ 3x= 24\\ \\ x=\frac{24}{3}=8[/tex]

So, the missing side length in second triangle is 8.

Other Questions
Melcia's parents were surprised to learn that _______________ is the most likely to be effective in the treatment of their daughter, even though her disorder, autism, has biological origins. The area of health concerned with thinking clearly and reason is which of the following? The oldest technique for stretching, which is seldom used because it can cause muscle soreness, is called _______ stretching. How much time passed between the appearance of the first prokaryotic cells and the emergence of multicellular organisms? At this he gave a mighty sob and rumbled: 'Now comes the weird upon me, spoken of old. A wizard, grand and wondrous, lived hereTelemus, a son of Euryinus; great length of days he had in wizardry among the Cyclopes, and these things he foretold for time to come: my great eye lost, and at Odysseus' hands. Always I had in mind some giant, armed in giant force, would come against me here. But this, but yousmall, pitiful and twiggy you put me down with wine, you blinded me. Come back, Odysseus, and I'll treat you well, praying the god of earthquake to befriend you his son I am, for he by his avowal fathered me, and if he will, he may heal me of this black woundhe and no other of all the happy gods or mortal men. Why does the Cyclops invite Odysseus back to the island? What is one of Congress's roles in foreign policy? A.Managing diplomats B.Declaring war C.Collecting intelligence information D.Distributing foreign aid In the circuit diagram, what does the line segment with two circles at the ends represent?an electrical conductora source of electrical energyan electrical resistora closed switch Kathleen J., a 42-year-old homemaker, is brought to the physicians office by her husband. She has been suffering from vertigo, nausea, and vomiting for the past 3 days. The physician prescribes meclizine (Antrizine), a(n) ________________________, to combat the patients symptoms. 46 points for yall, i need math help. Alice thinks that recruiters will carefully read her resume all the way through before making a decision, but she is wrong. what mistake is this misunderstanding likely to lead to PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1) Please help I will reward brainly to the correct answers Solve triangle PQR is PQ 9, PR 7, and QR 8. POR is NOT a right triangle. Use the given information to match the answers.ABC is a right triangle.1. 2132. 53. 331. If b = 2 and c = 3, then a =2. If a = 3 and c = 6, then b =3. If a = 4 and b = 6, then c = Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?a.r + 1.50 = 1.5rb. r + (5 r) = 5c. 1.5r + 2.5(5 r) = 10.50d. 1.5r + 2.5(5 r) = 5 spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number Read "electricity and the environment." what is one major benefit that came from the clean air act? who administers the act? After you rub a balloon on your hair it might stick to a wall. Why? Be specific. To test upper h 0: muequals60 versus upper h 1: muless than60, a random sample of size nequals24 is obtained from a population that is known to be normally distributed. complete parts (a) through (d) below. Of the components that make up one's total energy expenditure, which is controlled by the person?