An ordinary fair dice is a cube with the numbers 1 through 6 on the sides

The probability that the sum exceeds 5 is P ( A ) = 0.6111

Given data ,

To find the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice, we need to count the number of outcomes where the sum of the two numbers is greater than 5, and then divide that by the total number of equally-likely outcomes.

The outcomes where the sum exceeds 5 are:

(2, 4), (2, 5), (2, 6)

(3, 3), (3, 4), (3, 5), (3, 6)

(4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

There are 22 outcomes where the sum exceeds 5 out of a total of 36 equally-likely outcomes.

So, the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice is:

P(sum > 5) = 22 / 36 ≈ 0.6111 or approximately 61.11 %

Hence , the probability is P ( A ) = 0.6111

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The complete question is attached below :

A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.Find the probability of getting two numbers whose sum exceeds 5

Answer:

9 = x^2+y^2

Step-by-step explanation:

3^2 = (x-0)^2 + (y-0)^2

9 = x^2+y^2

9514 1404 393

Answer:

  C.How many cats are boarded? ​

Step-by-step explanation:

The answer to the Step 1 question is found in the last sentence of the problem statement:

"If there are 75 animals, how many cats are boarded?"

_____

Additional comment

If we let c represent the number of cats boarded, then the number of dogs is 2c+12, and the total number of animals is ...

  c +(2c +12) = 75

  3c = 63 . . . . . . . . . subtract 12

  c = 21 . . . . . . . . . divide by 3

21 cats are boarded. (54 dogs are boarded)

Using trigonometric ratio, the height for the basketball hoop is obtained as option C: 14 ft.

What is trigonometric ratio?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

The height of the girl is 5 ft.

The base of the triangle is 5 ft.

The angle θ is 60°.

Apply the trigonometric ratio of tangent.

The tan formula is -

tan θ = perpendicular / base

Substitute the values in the equation -

tan 60° = perpendicular / 5

√3 = perpendicular / 5

perpendicular = 5√3 ft

The height of hoop = perpendicular + height of girl

Substitute the values in the equation -

The height of hoop = 5√3 + 5

The height of hoop = 8.65 + 5

The height of hoop = 13.65 ≈ 14 ft

Therefore, the height value is 14 ft.

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Answer:

Diagonal, I'm 90% sure it is at least!!

The mean bonus paid by large companies to their executives is $5 million and the modal class is 3.5-6.5.

To find the mean, we need to find the midpoint of each class and multiply it by the frequency, then add up all of these values and divide by the total frequency:

Class boundaries Midpoint Frequency Midpoint x Frequency

0.5-3.5 2                          11                                         22

3.5-6.5 5                          12                                        60

6.5-9.5 8                           4                                        32

9.5-12.5 11                           2                                       22

12.5-15.5 14                           1                                        14

Total 150  

Mean = (Midpoint x Frequency) / Total Frequency

Mean = 150 / 30

Mean = 5

Therefore, the mean bonus paid by large companies to their executives is $5 million.

To find the modal class, we need to look for the class with the highest frequency. In this case, the class with the highest frequency is 3.5-6.5, with a frequency of 12. Therefore, the modal class is 3.5-6.5.

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Answer:

direct proof, proof by contradiction, proof by induction

Step-by-step explanation:

there u go mate

Answer:

16/64 and 1/4

Step-by-step explanation:

1/4 x 16/16 = 16/64

1 x 16 / 4 x 16 = 16/64

16/64 = 16/64

Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)​

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

\(x = \frac{4-5}{2} = -\frac{1}{2} = -0.5\)

y-coordinate of the midpoint:

\(y = \frac{2-1}{2} = \frac{1}{2} = 0.5\)

The midpoint of the segment is (-0.5,0.5).

Answer:

Step-by-step explanation:

The explain in the photos above

I hope that is useful for you :)

Answer:

The other two angles are 22° , 22°

Step-by-step explanation:

To find the other angles, we can use angle sum property of triangle.

      The given angle 136° cannot be base angles. Let the base angles be x.

x + x + 136 = 180°

   2x + 136 = 180°

Subtract 136 from both sides,

            2x = 180 - 136

            2x = 44°

Divide both sides by 2,

              x = 44 ÷ 2

                \(\sf \boxed{x = 22^\circ}\)

Answer:42

Step-by-step explanation:

The formula for circumference is used to determine the diameter of the circle that the teeter totter creates as it spins, which is 232.12 inches.

The circumference of the circle that the teeter totter makes as it spins is given by the formula:

Circumference = 2 * pi * radius

where "pi" is the mathematical constant approximately equal to 3.14, and "radius" is the distance from the center of the circle to its outside edge.

In this problem, we are given that the distance from the center to the outside edge of the teeter totter is 37 inches, which means that the radius of the circle is also 37 inches. Therefore, we can use the formula for circumference to calculate the distance around the circle that the teeter totter makes as it spins.

In this case, the radius is 37 inches, so we can plug in these values to get:

Circumference = 2 * 3.14 * 37

Simplifying this expression gives:

Circumference = 232.12

Therefore, the circumference of the circle that the teeter totter makes as it spins is approximately 232.12 inches, rounded to the nearest hundredth of an inch.

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Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

The angle sum property of a triangle and the angle formed between a tangent and a radius of a circle indicates.

m∠ADC = 58°

A tangent to a circle is a straight line which touches the circumference of a circle at only one point.

The vertical angles theorem indicates that we get;

∠1 ≅ ∠2

Therefore; m∠1 = m∠2

The tangent to a circle indicates that we get;

The angle formed at vertex B and Q are 90 degrees angles and the triangles ABP and AQP are right triangles, which indicates that the acute angles of each of the right triangles are complementary, therefore;

m∠1 + 26° = 90°

m∠1 = 90° - 26° = 64°

Therefore, m∠2 = m∠1 = 64°

m∠2 = m∠CAD = 64°

The segments AC and AD are radial lengths therefore, the triangle ΔACD is an isosceles triangle.

m∠ADC ≅ m∠ACD (Base angles of an isosceles triangle)

The angles ∠ADC and ∠ACD are therefore;

m∠CAD + m∠ADC + m∠ACD = 180° (Angle sum property of a triangle)

m∠CAD + m∠ADC + m∠ADC = 180°

m∠CAD + 2 × m∠ADC = 180°

64° + 2 × m∠ADC = 180°

m∠ADC = (180° - 64°)/2 = 58°

m∠ADC = 58°

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Answer:

is it correct please tell

-2.666

Answer:

15 pounds

Step-by-step explanation:

150-135

Answer:

15 pounds

Step-by-step explanation:

Answer:

(f + g)(3) = 22.

Step-by-step explanation:

Given the following function operations:

(f + g)(x) if f(x) = 2x² and g(x) = 2x - 2, and that x = 3:

The function operation can also be expressed as follows:

(f + g)(x) = f(x) + g(x)

We could simply perform the required function operations separately, then add their results in the end. Substitute the value of x = 3 as an input into f(x) and g(x):

f(3) = 2(3)² = 2(9) = 18

Hence, f(3) = 18

g(3) = 2(3) - 2

g(3) = 6 - 2 = 4

g(3) = 4

(f + g)(3) = f(3) + g(3)

(f + g)(3) = 18 + 4

(f + g)(3) = 22

Therefore, (f + g)(3) = 22.

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

23.67 X 2.03 = 48.0501

Hope this helps! :)

Answer:

48.0501

Step-by-step explanation:

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer:

i) Graph

ii) Exponential function

Explanation:

First, we can see that there is only one function that is in the opposite direction. It is decreasing when the others are increasing. It means that this function is f(-x). This is because f(-x) is a reflection over the y-axis of f(x). So, we can identify f(-x) and f(x) because they are the functions that cross in the y-axis.

Then, knowing which one is f(x), f(x) + 2 will be the same function but 2 units up. So, if f(x) pass through (0, 1), f(x) + 2 will pass throug (0, 3) because it is located 2 units up because

1 + 2 = 3

In the same way, 2f(x), makes double the y-coordinate, so if f(x) pass through (0, 1), 2f(x) will pass through (0, 2) because

2(1) = 2

As a review, we know that

If we have f(x) + c, we move c units up.

If we have f(x) - c, we move c units down

If we have f(x - c), we move c units to the right

If we have f(x + c), we move c units to the left

Finally, we can identify each diagram as follows

Finally, this function is an exponential function because it is increasing and have this curve path.

Answer : Hello It Is 42

Explanation : (82 - 40 = 42)

The given expression is \(82-2^3\times 5\). This expression equals 42.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of computations and relationships.

Expressions are fundamental in mathematics as they allow us to represent and manipulate mathematical concepts, solve equations, evaluate formulae, and analyze mathematical relationships. They are used in various areas of mathematics, including algebra, calculus, geometry, and more.

The given expression is \(82-2^3\times 5\).

\(82-2^3\times 5\) = 82 - 8 \(\times\) 5

                 = 82 - 40

                 = 42.

So, the solution of the given expression is 42.

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Answer:

Expand:

x^2+7x-2x-14

Answer:

x^2+5x-14

Step-by-step explanation:

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108