Mathematics College

Aaron rolled a fair six-sided number cube, numbered 1 through 6, several times and recorded the data in the table below. Which statement about this situation is true? *

Answers

Answer 1

Answer:

Aaron rolled a fair six-sided number cube, numbered 1 through 6 is explained below in details.

Step-by-step explanation:

a. FALSE

Trial possibility of rolling a 6 =1/20 = 0.05

Logical possibility of rolling a 6 = 1/6 = 0.17(approximately.)

So the trial possibility of rolling a 6 is not equal to the logical possibility of rolling a 6.

b. FALSE

Trial possibility of rolling an even number = Trial possibility of rolling number 2,4 or 6 = 4/20+2/20+1/20= 7/20 = 0.35

Logical possibility of rolling an even number = 3/6 = 1/2=0.5

Therefore the Test possibility of rolling an even number is shorter than the logical possibility of the same.

c. TRUE

Trial possibility of rolling a 1= 6/20= 0.3

Logical possibility of rolling a 1= 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 1 is greater than the logical possibility of rolling a 1.

d. FALSE.

Trial possibility of rolling a 4= 2/20= 0.1

Logical possibility of rolling a 4 = 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 4 is less than the logical possibility of rolling a 4.

Related Questions

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.

dy÷dx=(x-1)(x+3) at x=2 first principal

Answers

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

4+6-2-3=5

so finally: 5=5

any questions?

[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(

Answers

Answer:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]

We can use Part I of the Fundamental Theorem of Calculus:

[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variable

For the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace

[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]

Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.

[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]

Rearrange the terms to be in order from the highest degree to the lowest degree.

[tex]\displaystyle2x^5-8x^2+2x-2[/tex]

This is the derivative of the given integral, and thus the solution to the problem.

I need this answered soon please!

Answers

Answer:

its B

Step-by-step explanation:

simplify the radical by breaking the radicand up into the product of known factors.assuming real numbers

Evaluate the expression if y=6 : 30 - 24 ÷ y

Answers

Answer:

The answer is 1

Step-by-step explanation:

30 minus 24 is 6 and 6 divided by 6 is 1

Evaluate the following expression.
(-5+7 x 1)-9x5

Answers

Answer:

Step-by-step explanation:

The answer is -43 ......

Can someone please help me :(

Answers

Answer:

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

Answer:

x=7

Step-by-step explanation:

2x + 1 = 15

-3x+6 = - 15

Since they are equal the equation is true

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3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
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30 in.
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Answers

Answer:

30 inches

Step-by-step explanation:

240/20=12

12x2.5=30

Answer:

30 inches jrjdbdbrbejjr

a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

Triviaaaa for you smart people, is Sixteen times some number equals 60, an equation or expression?

Answers

Answer:

an equation

Step-by-step explanation:

this is because there is an unknown value (some number)

Type the expression that results from the following series of steps:
Start with n and divide by 2.

Answers

the expression is n/2

Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
Degree of Certainty
credits earned very uncertain Somewhat Certain very certain Row tot
under 10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 2.47
B. 14.56
C. 2.00
D. 11.09

Answers

This question is incomplete, the complete question is;

Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.

credits earned very deg.of certainty very Row Total

uncertain somewhat certain certain

under10 24 16 6 46

10 through 59 16 8 20 44

60 or more 2 14 22 38

col total 42 38 48 128

Under the assumption of independence, the expected frequency in the upper left cell is:__________.

A. 12.47

B. 14.56

C. 2.00

D. 11.09

Answer:

Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

Step-by-step explanation:

Given the data in table in the question;

the expected frequency in the upper left cell will be;

Eij = (Ti × Tj) / N

Row total Ti = 38

Column total Tj = 42

Total frequency N = 128

so we substitute

Eij = (38 × 42) / 128

= 1596 / 128

= 12.468 ≈ 12.47

Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Answers

Answer:

Length [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

help again again again

Answers

Answer:

it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up

the answer is the last choice

Anita incorrectly wrote z =w-18 to describe the pattern in the table. Choose the best description of Anitas error

Answers

The answer choices are not present

Find the zero of the function.
f(x)= 4x^2– 12x+9

Answers

Answer:

The zero is x = 3/2 = 1.5

Step-by-step explanation:

We recognize that the trinomial 4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:

(2 x - 3)^2

Therefore, the zeros are the x-values that verify the following:

(2 x - 3)^2= 0

that is (2 x - 3) = 0 and solving for "x":

2 x = 3

x = 3 / 2

x = 1.5

The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0

Answers

Z+=^ plus deez d3+88 wayward too duke

The roots to a parabola are 2 and -3. What is one
possible equation for this parabola

Answers

Answer:

x^2+x-6

Step-by-step explanation:

i did a thing

hope this is correct and helps

Answer:

[tex]y = x^2 + x - 6[/tex]

Step-by-step explanation:

Hello!

We can utilize the factored form of a parabola to find a possible equation.

Factored Form: [tex]y = a(x - h)(x - k)[/tex]

h and k are roots

Since the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.

Find the Equation[tex]y = a(x - h)(x - k)[/tex][tex]y = 1(x - 2)(x +3)[/tex][tex]y = 1(x^2 + x - 6)[/tex][tex]y = x^2 + x - 6[/tex]

One possible equation is [tex]y = x^2 + x - 6[/tex].

1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY

Answers

451/8=56.38 is what i got

What equation represents the proportional relationship displayed in the table ?

Answers

Answer:

y=5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you divide each y-value by its corresponding x-value, you get 5.

For example, 10/2 = 5; 20/4 = 5

y is always 5 times x.

y = 5x

Answer: 5

-2 + 0.4x = -0.2(4x+22)
solve

Answers

x= -2
(mark brainliest if correct pls)

plz help!! will give brainliest!!

Answers

I think it might be c correct me if I am right.

For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

=y/16

sin(37)=opp/hyp

=y/16

therefore, sin(37)=cos(53)=y/16

WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:

Answers

Answer:

Right

Step-by-step explanation:

Trust me

Answer:

lion

Step-by-step explanation:

you multiply what is outside the parenthesis to everything inside the parenthesis

Identify the graph that displays the depth of water in a swimming pool after the drain is opened.

Answers

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

Step-by-step explanation:

Find sin θ. Right Triangle Trigonometry.

Answers

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Substitute [Sine]: sinθ = 16/20

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

Find the value of 7C7

Answers

Step-by-step explanation:

If there were 7 items, the number of ways to choose 7 out of the 7 items is only 1 way, which is to get all of them.

=> 7C7 = 1.

Line B crosses through the points (3,1) and (-3,-1). Using those two points, find the slope of line B.

Answers

The slope of line B is 2/6. Attached below is my work. Hope you score a ^w^

Evaluate 32 divided by 1.6
show work long division