What is the probability of rolling a number less than or equal to 3 on a standard six-sided die

Answer:

13/12 or 1 1/12

Step-by-step explanation:

find the common denominator

The expression that have 2\3 as a product are 4/5 × 5/6  and 6/7 × 7/9 which is option (a) and (e) .

(a) 4/5 × 5/6 = 20/30

                     = 2 /3

(b) 7/8 × 9/10 = 63 / 80

(c) 1/3 × 2/3 = 2 /9

(d)  3/4 × 7/12 = 21 / 48

                       = 7 / 16

(e) 6/7 × 7/9 = 42 /63

                    = 6 / 9

                    = 2 / 3

Only the expression (a) and (e) have  2\3 as a product.

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The complete question is given below :

Choose all the expressions that have 2\3 as a product.

(a) 4/5 × 5/6

(b) 7/8 × 9/10

(c) 1/3 × 2/3

(d) 3/4 × 7/12

(e) 6/7 × 7/9

The correct equation is option (A): 0.7386x - 15.75 = 41.87 equation can be used to find the quantity of Canadian dollars that Tobias exchanged .

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated to obtain a value. An expression can contain constants, variables, and operators such as addition, subtraction, multiplication, division, and exponentiation, as well as functions and parentheses to control the order of operations.

Let x be the quantity of Canadian dollars that Tobias exchanged. According to the problem statement, he received 0.7386 U.S. dollars for each Canadian dollar exchanged, and he gave away $15.75, leaving him with $41.87. We can use this information to set up the equation:

0.7386x - 15.75 = 41.87

Therefore, the correct equation is option (A):

0.7386x - 15.75 = 41.87 equation can be used to find the quantity of Canadian dollars that Tobias exchanged .

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Answer:

20/2 = 10

10 squared is 100 (10 x 10)

100 x (pi) = 314.159265359

But if we were to use 3.14 it would be 314

Answer:

The answer is C.

Step-by-step explanation:

Answer:

C. 3x = 13.5

Step-by-step explanation:

To find which equation has a solution of x = 4.5, we must input 4.5 in each equation in for x.

A. 7 - 4.5 = 3.5

This is untrue, as 7 - 4.5 is 2.5, not 3.5

B. 2 (4.5) = 10

This is untrue, as 2 x 4.5 is 9, not 10

D. 4.5 + 4 = 4.9

This is untrue, as 4.5 + 4 is 8.5, not 4.9

C. 3 (4.5) = 13.5

This is true, because 3 x 4.5 is 13.5!

I hope this helps.

Answer:

(-b±√(b²-4ac))/(2a)

Step-by-step explanation:

Answer:

This is my alt

Step-by-step explanation:

The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

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Answer:

X = 9

Step-By-Step Explanation:

Log3 x=2

Log(a) b=c

A(c) = b

So we can Take The original Question:

Log3 x=2

And rewrite it to:

3(2) = X = 9

x=2/3................................

Answer: 742.68

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\(f(-1)g(-1) \text{ is the same thing as } f(-1)\cdot g(-1). \\\text{Therefore, find f(-1) and g(-1)}\)

\(f(-1)=(-1)^2-4\\f(-1)=1-4\\f(-1)=-3\)

\(g(-1)=3(-1)+2\\g(-1)=-3+2\\g(-1)=-1\)

Therefore:

\(f(-1)\cdot g(-1)\\=(-3)(-1)=3\)

Answer:

x < -5 or x > 2 , and because or can be in either, doesn't and literally can't be in both

Step-by-step explanation:

When you simplify 2x-2>12, it's like an algebra problem where you just add 2 to both sides and then divide by 2. Same for 2x+3>7, except you subtract 3 and then divide by 2

The probability of forming this committee with equal representation is approximately 0.570 or 57.0%.

The total number of individuals in the ATU COVID-19 team of Marshalls is 50 (13+15+10+12). To form an executive committee of 16 with equal representation, we need to choose 4 individuals from each group (4 lecturers, 4 students, 4 administrative staff, and 4 medical personnel).
Using the combination formula, we can calculate the number of ways to choose 4 individuals from each group:
C(13,4) × C(15,4) × C(10,4) × C(12,4) = 715 × 1,455 × 2,385 × 4,095 = 7,976,476,875
Therefore, there are 7,976,476,875 possible ways to form the executive committee with equal representation.
To calculate the probability of forming this committee, we need to divide the number of possible ways by the total number of ways to choose any 16 individuals from the ATU COVID-19 team of Marshalls:
C(50,16) = 13,983,816
The probability of forming the executive committee with equal representation is:
7,976,476,875 / 13,983,816 = 0.570

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Answer:

B. the product of two irrational numbers

Step-by-step explanation:

To be a rational number, we need to multiply two irrational numbers

An example would be

sqrt(2) * sqrt(2) = sqrt(4) = 2

Answer:

The product of two irrational numbers

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

\( \sqrt{3} cosecx - 2 = 0\)

\( \sqrt{3} cosecx = 2\)

\(cosec = \frac{2}{ \sqrt{3} } \)

\(sinx = \frac{ \sqrt{3} }{2} \)

\(x = sin {?}^{ - 1} ( \frac{ \sqrt{3} }{2} )\)

\(x = 60\)

Answer:

exact form: x=20/9

decimal Form: x=2.222...

Step-by-step explanation:

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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Answer:

\(1\frac{11}{16}\)

Step-by-step explanation:

Convert mixed numbers into improper fractions.

= \(\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}\)

= \(\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}\)

= \(\frac{\frac{9}{2}}{\frac{8}{3}}\)

= \(\frac{9\cdot \:3}{2\cdot \:8}\)

= \(\frac{27}{2\cdot \:8}\)

= \(\frac{27}{16}\)

Convert improper fraction into mixed number.

= \(1\frac{11}{16}\)

Answer:

n would be 0.10

Step-by-step explanation:

the only way to get 72.1 is to multplay something below it like 0.10 so that why it makes since

a) These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).

a) To find all solutions to the equation z⁴ = 1, we can use De Moivre's theorem:

z⁴ = 1 = cos(0) + i sin(0)

We can rewrite this in polar form as:

z = cos(0/4 + 2kπ/4) + i sin(0/4 + 2kπ/4)

where k = 0, 1, 2, 3.

Simplifying the expression for z, we get:

z = cos(kπ/2) + i sin(kπ/2)

For k = 0, we get z = 1.

For k = 1, we get z = i.

For k = 2, we get z = -1.

For k = 3, we get z = -i.

These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) To find all solutions to the equation z³ = 8, we can use De Moivre's theorem:

z³ = 8 = 8(cos(0) + i sin(0))

We can rewrite this in polar form as:

z = 2(cos(0/3 + 2kπ/3) + i sin(0/3 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = 2(cos(kπ/3) + i sin(kπ/3))

For k = 0, we get z = 2.

For k = 1, we get z = -1 + i√3.

For k = 2, we get z = -1 - i√3.

These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) To find all solutions to the equation z³ = i, we can use De Moivre's theorem:

z³ = i = cos(π/2) + i sin(π/2)

We can rewrite this in polar form as:

z = (cos(π/6 + 2kπ/3) + i sin(π/6 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = cos(kπ/3) + i sin(kπ/3)

For k = 0, we get z = 1.

For k = 1, we get z = (-1 + i√3)/2.

For k = 2, we get z = (-1 - i√3)/2.

These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).


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Answer:

p=38

Step-by-step explanation:

hope that helps!

Answer: B

Step-by-step explanation:

In triangles ABC and CED, CE=AC and AB=ED, but CD>BC, meaning the angle E is smaller than angle A.

Answer:

to find the circumfrence of a circle you need to do 2 times pi times the radus. the circumfrence of a circle is the outside rim of the circle.

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Given, number of elements in set A = 4

In, P(A) = 2^(Number if elements in set A)

P(A) = 2^4 = 16

A × P(A)

4 × 16 = 64

Answer:

a. Probability density function for the battery life

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

b. P(x<11) = 0.7143

Step-by-step explanation:

The question is incomplete

In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a. Give a mathematical expression for the probability density function of battery life.

b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).

a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.

The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.

We can express that as:

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

The last is the probability density function for the battery life.

b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.

\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)

Answer:

c=15

Step-by-step explanation:

45=3c,divide

c=15

Answer:

the answer is 20, i wish i could show u my work but i dont know how to add pictures :(   :)

I used a calculator my bad but use photot math take a picture of the problem and it will show you step by step on how to do it

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

The numerical expression \(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

Simplification is to make something easier to do or understand and to make something less complicated.

The expressions are given below.

\(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1

Then By simplification, we have

x - 2 = 2⁴

    x = 16 + 2

    x = 18

√x² + 7 = 4

x + 7 = 4

x = -3

∛(1 - x) = -1

    1 - x = -1³

        x = 2

The numerical expression \(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

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