The frequency table was made using a deck of cards in which each card is numbered 1, 2, 3, or 4.

Create a bar graph by dragging the sliders on the horizontal axis to represent the probability distribution.

Answer:

And step-by-step explanation

Answer:

x = 46°

Step-by-step explanation:

The angle 69° and z form a straight angle and are supplementary, thus

z = 180° - 69° = 111°

The sum of the 3 angles in a triangle = 180°, hence

x = 180° - (111 + 23)° = 180° - 134° = 46°

Answer:

D) 3+x/10+x > 8/10!

Answer:

the second part is a

Step-by-step explanation:

Answer: The answer is a: 40

Step-by-step explanation:  

Answer:

In interval notation it is  ( -∞, ∞).

Step-by-step explanation:

All values of x can be input to this function.

Answer:

you multiply it by 100 since there are 100 cents in a dollar. so, 24804 cents. it stays at 4 because 2 is less than 5

Step-by-step explanation:

Answer:

$-248.04.

Step-by-step explanation:

This is the correct answer to your question.

Hope this helps!!!

Kyle.

Answer:

OPTION A 755m^2;815m^2

Step-by-step explanation:

I hope it really helps I know everyone always needs help from time to time best of luck!

Answer:

Question 1: x = 0,6,4

Step-by-step explanation:

#1. If we let x be the side of the cut-out square, the formula for the volume of the box is

[tex]\text{Volume} = (12 - 2x)(8 - 2x)(x).[/tex]

Expanding gives us

[tex]\text{Volume} = 4x^3 - 40x^2 + 96x. [/tex]

To find the zeros, we need to set the equation to 0, and the values of x that would result to zero would be:

[tex]x = 0, 6, 4[/tex]

As how it is told 'he' wanted to make a box with no lid for his marble connection, 'he' wants to cut out four "Identical" squares from all of the corners of the sheet (which I'm assuming is that there is four corners) and by doing so he then wants to fold all the sides...

So he buys one that is 8 by 12 inches, so you can draw a box that is (8, 12) put an 'x' at all four corners and 'cut' it the corners out.

Here's the formula that you can use... Which could be either one I guess..

-Cube = a 3

-- a is the side length

-Rectangular prism = a * b * c

-- a, b, c are the length, width, and height

The volume of a cube is side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

Once you found a function I think you should use the quadratic equation, which is- y=x2-20x+96

And you could use that equation to graph it out... But if they want it to be the volume of 12 cubic inches then er-... Yeah that's were i'm stumped at... My apologies..

Answer:

D. No the answer is not reasonable. it should be about 10 pounds.

I took the test.

Answer:

No, the answer is not reasonable. It should be about 10 pounds.

Step-by-step explanation:

Given,

The quantity of hot dog bought by Jill's club = [tex]4\frac{2}{5}[/tex] pounds,

Hot dog = [tex]3\frac{1}{2}[/tex] pounds

Hamburger = [tex]2\frac{3}{10}[/tex] pounds

So, the total quantity of meat they bought

[tex]=4\frac{2}{5}+3\frac{1}{2}+2\frac{3}{10}[/tex]

[tex]=\frac{22}{5}+\frac{7}{2}+\frac{23}{10}[/tex]

[tex]=\frac{44+35+23}{10}[/tex]  ( Adding fractions ),

[tex]=\frac{102}{10}[/tex]

[tex]=10.2\text{ pounds}[/tex]

Since, [tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex]

[tex]\implies 8.5\neq 10.2[/tex]

Hence, the student's answer is not reasonable it should be about 10 pounds.

Third option is correct.

Answer:

4

Step-by-step explanation:

The probability of each event occurring does not affect the probability of the other event occurring

I am not sure about the numbers you are working with, but you can use this to help you out:

[tex]p(a \: and \: b) = p(a) \times p(b)[/tex]

Good luck!

Answer:

[tex]x = \frac{y}{2}- 5[/tex]

[tex]x = \frac{1}{2} y - 5[/tex]

Step-by-step explanation:

[tex]1. \: \frac{y}{2} = x + 5 \\ 2. \: \frac{y}{2} - 5 = x \\ 3. \: x = \frac{y}{2} - 5 \\ \\ or \\ \\ 1. \: 2x + 10 = y \\ 2. \: 2x = y - 10 \\ 3. \: \frac{2x}{2} = \frac{y - 10}{2} \\ x = \frac{1}{2} y - 5 [/tex]

Answer:

there are several possible answers child 1=5.50

child 2=5.03

child 3=5.06

child 4=3.99

child 5=3.51

Step-by-step explanation:

23.09 / 5 = £4.61 = 1 share

4.61 * 3 = 13.83

4.61 * 2 = £9.22

13.87 / 3 = 4.62

9.22 / 2 = 4.61

what pyramid???????

i think you forgot the pyramid

Answer:

I believe the answer is 110.

Answer:

Step-by-step explanation:

In this problem we need to use the Inscribed Angle theorem, which states that an inscribed angle is one-half its subtended arc.

[tex]\angle C=\frac{1}{2}arc(DB)=70\°[/tex]

Then, we use the theorem about a cyclic quadrilateral, which is an inscribed quadrilateral: "the opposite angles in a cyclic quadrilateral are supplementary".

[tex]\angle C + \angle A = 180\°\\\angle A = 180\° - \angle C\\\angle A = 180\° - 70\° \\\angle A = 110\°[/tex]

Therefore, the answer is 110°

ANSWER

[tex]\cos(y) = \frac{4}{5} [/tex]

EXPLANATION

From the mnemonics SOH-CAH-TOA.

We want to find the cosine of y

CAH means cosine ratio involves adjacent over the hypotenuse.

[tex] \cos(y) = \frac{adjacent}{hypotenuse} [/tex]

From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.

[tex] \cos(y) = \frac{64}{80} [/tex]

[tex]\cos(y) = \frac{4}{5} [/tex]

Answer:4/5

Step-by-step explanation:

Step-by-step explanation:

Arc length is defined as:

s = rθ

where r is the radius and θ is the angle in radians

A unit circle has a radius of 1, so the arc length is equal to the radian measure of the angle.

The radian measure determines the arc length on the unit circle using the formula s = θ for a unit circle (radius = 1). Radians, being a ratio of arc length to radius, allow for direct conversion between angle and arc length, facilitating calculations and conversions between radians and degrees.

The radian measure of an angle can determine the arc length on the unit circle by using the formula arc length (s) = radius (r) × angle in radians (θ). Since the unit circle has a radius of 1, this simplifies to s = θ. The concept of radians is crucial here; a radian is defined as the ratio of the arc length to the radius of the circle, making it a dimensionless unit. This relationship remains constant regardless of the circle's size, meaning the radian measure directly gives the arc length on the unit circle.

For a full revolution of 2π radians (360 degrees), the arc length is equal to the circumference of the circle, which is 2πr. In the case of the unit circle, this equates to an arc length of 2π. This principle allows for the conversion between radians and degrees, and calculation of arc lengths for any given angle measured in radians.

The publisher should produce and sell approximately 4480 books in order to break even on the total costs of production.

The problem requires figuring out when the revenues from selling the book will equal the total cost of production. This is a problem in algebra.

The one-time fixed costs total $45,920, and the variable costs per book are $11.25. The books will be sold for $21.50 each.

Step 1: Set up an equation

Let x be the number of books that need to be sold. The equation is then: 45920 + 11.25x = 21.50x.

Step 2: Solve for x

Subtract 11.25x from each side to isolate the variable on one side giving you: 10.25x = 45920. Then, divide both sides by 10.25 to derive x. So, the equation is x = 45920 / 10.25.

Step 3: Derive the solution

By doing the calculation, x approximately equals 4480. Thus the publisher needs to sell just about 4480 books to break even.

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The publisher must produce and sell 4,478 books to cover total production costs. They need to break even by equating total costs with total revenue, using the formula FC + (VC × N) = P × N, and solving for N after substituting the given fixed costs, variable costs per book, and price per book.

To determine how many books a publisher must produce and sell to cover production costs, the following formula is used:

To break even, TC must equal TR. This can be expressed as:

FC + (VC × N) = P × N

Now we substitute the given values:

$45,920 + ($11.25 × N) = $21.50 × N

To find N, we solve the equation for N:

Therefore, the publisher must produce and sell 4,478 books to cover total production costs.

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Answer:

true

True

False

False

Step-by-step explanation:

a. The problem tells me that for every 3 parts of red paint, I have 8 parts of yellow paint. To find the ratio of 1 part of yellow paint I can write the following statement

For 8 parts of yellow paint ------------ 3 parts of red paint

        1 part of yellow paint  -------------      x

So [tex]x=\frac{1 part of yellow paint * 3 parts of red paint }{8 parts of yellow paint}[/tex]

[tex]x= \frac{3}{8} parts of red paint[/tex]

b, I have the following relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 3 I have left

3 * 3 parts of red paint -------- 8 * 3 parts of yellow paint

So

9 parts of red paint ---------- 24 parts of yellow paint

c.I have the same relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 1/2 I have left

3/2 parts of red paint -------- 8/2 parts of yellow paint

So

3/2 parts of red paint ---------- 4 parts of yellow paint

as 3/2 is different from 10, then the approach is false

d. observing the relation of part a,

For 3 parts of red paint ------------ 8 parts of yellow paint

      1 part of red paint   -------------      x

So [tex]x=\frac{1 part of red paint * 8 parts of yellow paint }{3 parts of red paint}[/tex]

[tex]x= \frac{8}{3} parts of yellow paint[/tex]  that is different than 3/8 parts of yellow paint, then the approach is false

Answer:

true

True

False

False

Step-by-step explanation:

Answer:

Required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Step-by-step explanation:

Given that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

Hence required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Answer:

400 yards

Step-by-step explanation:

(√A)4

(√10,000)4

(100)4

400

Hope This Helps! :D

Answer:

0.22

Step-by-step explanation:

The point estimate is simply the middle of the confidence interval.

p = (0.195 + 0.245) / 2

p = 0.22

Answer:

true if that is the answer your looking for

Step-by-step explanation:

given sides,

a=36

b=45

c=27

From cosine law,

cosA=

[tex] \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} \\ = \frac{ {45}^{2} + {27}^{2} - {36}^{2} }{2 \times 45 \times 27} \\ = \frac{3}{5} = 0.6[/tex]

or, A= cos^-1(0.6)=53.13°

similarly, cosB=

[tex] \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} \\ = \frac{ {36}^{2} + {27}^{2} - {45}^{2} }{2 \times 36 \times 27} \\ = 0[/tex]

or, B= cos^-1(0)=90°

Since, B=90, the given triangle is right angled triangle.

Answer:

118.3 m²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 13 ( or 18.2) and h = 18.2( or 13) ← sides perpendicular

A = 0.5 × 13 × 18.2 = 118.3 m²

Answer:

138 cm³

Step-by-step explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

              = 6(23)

              = 138 cm³

So the volume of prism = 138 cm³

Answer:

8

Step-by-step explanation:

edg

Answer:

8 years

Step-by-step explanation:

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation [tex]100e^{0.05t} = 150[/tex] represents the situation, where t is the number of years the money has been invested.

To find out how long has the money invested we need to find out 't'

[tex]100e^{0.05t} = 150[/tex] , solve for t

divide both sides by 100

[tex]e^{0.05t} = 1.5[/tex]

Now to remove 'e' we take ln on both sides

[tex]ln(e^{0.05t) = ln 1.5[/tex]

the value of [tex]ln(e)= 1[/tex]

[tex]0.05t = ln 1.5[/tex]

Now divide by 0.05 on both sides

t = 8.10930

The money is invested for 8 years

The rocket exceed the height of 500 ft in 1.46 seconds or 8.43 seconds.

Standard form of the quadratic equation in the variable x is an equation of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b, c are real numbers and a ≠ 0. Any equation of the form P(x) = 0, Where P(x) is a polynomial of degree 2, is a quadratic equation.

Given equation of height is:

h(t)= -[tex]16t^{2} +160t+300[/tex]

Now, the exceeded to 500 feet.

So,

-[tex]16t^{2} +160t+300[/tex]=500

16[tex]t^{2}[/tex] -160 t +200=0

Now, solve for t: a=16, b= -160, c= 200

D= [tex]\sqrt{b^{2}-4ac }[/tex]

 = [tex]\sqrt{(-160)^{2}-4*16*200 }[/tex]

 = [tex]\sqrt{12800 }[/tex]

 = 80√2

As D>0 then,

x= [tex]\frac{-b\pm \sqrt{b^{2}-4ac }}{2a}[/tex]

x= (160 ±80√2)/32

x=  (160 +80√2)/32   or x= (160 -80√2)/32

So, x= 8.43 and x=1.46

Learn more about quadratic equation here:

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Answer:

Step-by-step explanation:

To calculate the theoretical probability here, we need three inputs:  1) the number of trials (which here is 7); the probability of success (which here is 0.75); and an integer representing the particular outcome (which here would be r:  {0, 1, 2, 3, 4, 5, 6, 7}.

(a)  Most of today's calculators have probability distribution functions built in.  I've used binompdf(n,p,r) here.  i. P(2) = 0.012 is correct; it's the result of typing in binompdf(7,0.75,2).  ii. P(3) = 0.058 is correct.  iii. P(4) = 0.005  is false; this probability is 0.173.  iv. P(5) = 0.015 is false.   v.  P(6) = 0.311 is correct.

(b) The probability that at least four trials are successful is equivalent to P(4) + P(5) + P(6) + P(7).   Another way in which to calculate this would be to add up P(0) + P(1) + P(2) + P(3) and subtract the resulting sum from 1.00:  That comes to:  1 - (0.000 + 0.001 + 0.012 + 0.058), or 1 - 0.071, or 0.929

Variables represent unknowns.  They are often letters (like x) but can also be other symbols like Greek numerics.

Hope this helps!!

Answer: he is right it is variables that are the unknown

Step-by-step explanation:

solving simultaneously

let equation 1 be -3-3y=12x

let equation 2 be -5-y=2x

equation 2 make y subject of formula=> y=-5-2x

replace (y=-5-2x) in equation 1

-3-3(-5-2x)=12x

solve for x

x=2

replace x=2 in equation 2

y=-5-2(2)

y=-9

Therefore, x=2 y=-9