A six sided die is rolled 4 times. Find the probability that a 2 or 3 is rolled at least once. Round your answer to two decimal places

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

C

Step-by-step explanation:

5+3 = (-1)-(-9)

5+3 =(-1)+9

8 = 8

Answer:

89.01% probability that a flight arrives on time given that it departed on time.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Departing on time

Event B: Arriving on time.

The probability that a flight departs and arrives on time is 0.81.

This means that \(P(A \cap B) = 0.81\)

The probability that an airplane flight departs on time is 0.91.

This means that \(P(A) = 0.91\)

Find the probability that a flight arrives on time given that it departed on time.

\(P(B|A) = \frac{0.81}{0.91} = 0.8901\)

89.01% probability that a flight arrives on time given that it departed on time.

Answer:

The number is zero

Step-by-step explanation:

From the question we are told to state the number of on-to-one that exist from the set of 5 element to the set 4 element

Generally there are no one-to-one function from a set with a higher number of elements to a set with the lower number of elements

So the correct answer to the question is  there are no one-to-one function from the set of  5 elements to the set of 4 elements

The equation to represent this can be written as: 8x = 104

Let's denote the number of pieces of candy each kid will receive as "x".

Since Carleen has a total of 104 pieces of candy and she wants to distribute them evenly among 8 kids, we can set up an equation:

8x = 104

This equation represents the idea that the total number of pieces of candy (8x) should be equal to the total number of pieces Carleen has (104). By dividing both sides of the equation by 8, we can solve for x:

x = 104 / 8

Simplifying this expression, we find: x = 13

Therefore, each kid will receive 13 pieces of candy.

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Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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Answer:

2x + 1 = 15

Step-by-step explanation:

Answer:

D or 2x+1

Step-by-step explanation:

first we have to distribute the 7 to the 2x+1

14x+7-2(6x+3)=15

now distribute the -2

14x+7-12x-6=15

combine like terms on the left side

2x+1=15

your answer would be D

hope this helps!

-20 + -3

-10 + -13

-15 + -8

-5 + -18

I hope this helps!

Answer: 15s - 100= 350

Step-by-step explanation:

i did it and got it right

Equation represents the situation 15s-100=350

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

The complete situation is:

Rory sold T-shirts at a festival for $15 each. He paid $100 in materials and fees.

Rory's profit after the festival was $350.

Now, Let s equal the number of shirts sold.

The total cost will be =15s

As he paid $100 in materials and fees.

so,

= 15s-100

The equation which represent the situation is :

15s-100= 350.

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Answer:

\(221\)

Step-by-step explanation:

\(2-1+5\times 4\times 11\)

Following PEMDAS, we multiply from left to right first.

\(2-1+20\times 11\)

\(2-1+220\)

Then, we add/subtract from left to right.

\(1+220\)

\(221\)

By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9

Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".

So, if we  want to find the value of y when we have x = -3, then:

Following these steps, you should be able to see that, when x = -3, the value of y is -9

So we conclude that the y-value for x = -3, is y = -9

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Answer:

Rounds down to 7000.

Step-by-step explanation:

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = \(\frac{distance}{time}\)

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

y= (-6/5)x -2

Step-by-step explanation:

y=mx+b , where m is the slope, and b is the y -intercept

the y -intercept is where the line intersects the y-axis so b = -2

the slope m= y(rise) /x(run)  = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))

y= (-6/5)x -2

Answer:

i don't have and idea

Step-by-step explanation:

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

the answer is 15

Step-by-step explanation:

i know this right.

Using percentage error, the measured weight is 0.5% less than the expected weight.

The percentage error serves as a gauge for how closely a computed or experimental result matches the true or accepted value. It is determined as the true or accepted value multiplied by 100% times the absolute difference between the experimental or calculated value and the true or acceptable value.

The formula for percentage error is:

Percentage Error = (|experimental value - true value| / true value) x 100%

The weight of the distilled water can be calculated by subtracting the weight of the graduate from the combined weight of the graduate and water:

weight of water = 100.28 g - 85.49 g = 14.79 g

To calculate the percentage error, you can use the formula:

(measured weight - actual weight) / actual weight * 100%

The actual weight of 15 mL of distilled water is 15 g, so the percentage error is:

(14.79 g - 15 g) / 15 g * 100% = -0.5%

So, the deviation from the expected weight of 5 g is -0.5%, which means the measured weight of the distilled water is 0.5% less than the expected weight.

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Answer:

Find the roots of  

2

x

2

+

8

x

−

3

=

0

by solving for  

x

.

Exact Form:

x

=

−

4

±

√

22

2

Decimal Form:

x

=

0.34520787

…

,

−

4.34520787

…

Step-by-step explanation:

I have used an Algebra calculator to check my answer given and my answer is correct.

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\(2 {x}^{2} + 8x - 3 = 0\)

\((x - ( \frac{ - 8 + \sqrt{88} }{4} ) \: )(x - ( \frac{ - 8 - \sqrt{88} }{4} ) \: ) = 0 \\ \)

Thus ;

\(x - ( \frac{ - 8 + \sqrt{88} }{4} ) = 0 \\ \)

\(x = \frac{ - 8 + \sqrt{88} }{4} \\ \)

This is one of the roots.

The other root is :

\(x - ( \frac{ - 8 - \sqrt{88} }{4} ) = 0 \\ \)

\(x = \frac{ - 8 - \sqrt{88} }{4} \\ \)

So sum of the roots is :

\( \frac{ - 8 + \sqrt{88} }{4} + \frac{ - 8 - \sqrt{88} }{4} = \\ \)

\( \frac{ - 8 - 8 + \sqrt{88} - \sqrt{88} }{4} = \\ \)

\( \frac{ - 16}{4} = - 4 \\ \)

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We have faster way to find ;

Remember from now on ,

If the quadratic functions have two roots ,

Sum of the roots is finding by following equation :

\(sum \: \: of \: \: the \: roots = - \frac{b}{a} \\ \)

\(b = coefficient \: \: of \: \: x\)

\(a = coefficient \: \: of \: \: {x}^{2} \)

So ;

\(sum \: \: of \: \: the \: \: roots \: = - \frac{8}{2} \\ \)

\(sum \: \: of \: \: the \: \: roots = - 4\)

Done...

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The perimeter of the circle formed by bending the rectangular wire will be equal to the length of the wire.

Perimeter of the circle = Length of the wire

2πr = 2(l+b) where r is the radius of the circle, l is the length of the wire, and b is the breadth of the wire.

Substituting the given values, we get:

2 x 3.14 x r = 2(32 + 12)

6.28r = 88

r = 14 cm

Therefore, the radius of the circle is 14 cm.

Answer:

14.01 cm

Step-by-step explanation:

The length of the wire is equal to the perimeter of the rectangle. So, the length of the wire is:

When this wire is bent into a circle, its length becomes equal to the circumference of the circle. The formula for the circumference of a circle is:

(let r = radius)

So, we can write:

Solving for r, we get:

So, the exact value of the radius of the circle formed by bending this rectangular wire is 14.01 cm.

Answer:

6 half-liter

Step-by-step explanation:

To get 3 liters of milk, Toby has two options:

Option 1: Buy 6 half-liter containers

The cost of one half-liter container is $2.43, so the cost of six such containers is 6 x $2.43 = $14.58.

Option 2: Buy 12 250-milliliter containers

The cost of one 250-milliliter container is $1.42, which is equivalent to $5.68 per liter (since 1 liter is equal to 4 250-milliliter containers). Therefore, the cost of 3 liters (which is equivalent to 12 250-milliliter containers) is 12 x $1.42 = $17.04.

Therefore, Toby should buy 6 half-liter containers as it is the cheaper option.

Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.

The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.

Given the two lines with the following equations:

-9x+9y=1

7x+2y=4

Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:

-9x + 9y = 1

9y = 9x + 1

y = 9x/9 + 1/9

y = x + 1/9 (slope = 1)

7x + 2y = 4

2y = -7x + 4

y = -7x/2 + 4/2

y = -7/2x + 2 (slope = -7/2).

The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.

Therefore, they are neither perpendicular nor parallel.

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The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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