lydia tosses two six sided number cubes

Answer:

906 will make the game faster but not equal

Step-by-step explanation: 89/8 is the eqaul part

The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

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Step-by-step explanation:

an isoceles triangle means that both legs are equally long.

the perimeter of a triangle is the sum of all 3 sides (the way to walk around the whole triangle).

the baseline is x long.

both legs are 3x - 2 long.

the perimeter

52 = x + 2×(3x - 2) = x + 6x - 4 = 7x - 4

56 = 7x

x = 8

The least squares solution to the given system of linear equations is x* = [3/14; 1/7; 1/14].

In order to find the least squares solution to the given system of linear equations, we can use the following steps:

Step 1: Write the system of equations in matrix form. In other words, we write the coefficients of the variables as a matrix, and the variables themselves as another matrix.

The matrix form of the given system of equations is given by:

Ax = b, where

A = [1 -1 -1; -1 0 0; -2 3 4; -1 2 2],

x = [x; y; z], and

b = [-2; 4; -1; 1].

Step 2: Compute the transpose of matrix A, denoted by \(A^T\) .

\(A^T\) is given by:

\(A^T\) = [1 -1 -2 -1; -1 0 3 2; -1 0 4 2].

Step 3: Compute the product of \(A^T\)  and A, denoted by \(A^T\) A.

\(A^T\)  A is given by:

\(A^T\)  A = [7 -8 -8; -8 14 18; -8 18 21].

Step 4: Compute the inverse of \(A^T\)  A, denoted by (\(A^T\)  A)⁻¹.

(\(A^T\)  A)⁻¹ is given by: ( \(A^T\) A)⁻¹ = [9/28 1/7 5/28; 1/7 4/7 -2/7; 5/28 -2/7 9/28].

Step 5: Compute the product of \(A^T\)  and b, denoted by \(A^T\)  b.

\(A^T\)  b is given by: \(A^T\)  b = [-1; 6; 5].

Step 6: Compute the least squares solution, denoted by x*. x* is given by: x* = (\(A^T\)  A⁻¹ \(A^T\)

b. Substituting the values from steps 4 and 5 into this equation, we get: x* = [3/14; 1/7; 1/14].

Therefore, the least squares solution to the given system of linear equations is x* = [3/14; 1/7; 1/14].

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Answer:

the new ratio is 1348 likes per min.

Step-by-step explanation:

given:

647,224 likes/8 hours

find:

calculate a unit rate for likes per minute

= 647,224 likes x    1 hour

        8 hours           60 min

= 1348.33

therefore,

the new ratio is 1348 likes per min.

Answer: Y= 1/3x - 2

Step-by-step explanation:

Answer:

\(2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)\)

Answer:

the best answer is option d

Step-by-step explanation:

4/5 x -10 = -40/5 = -8

t x t = t^2

-8t^2

Answer:

\( \sf \: d) \: - 8 {t}^{2} \)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: \frac{4}{5}t \: ( - 10t )\)

Let's simplify the expression,

\( \sf \rightarrow \: \frac{4}{5} t \: ( - 10t) \: \)

\( \sf \rightarrow \: ( \frac{4}{5} \times - 10)( {t} \times t)\)

\( \sf \rightarrow \: ( \frac{ - 40}{ \: 5} )( {t}^{2} )\)

\( \sf \rightarrow \: - 8{t}^{2} \)

Hence, the option (d) is correct.

The statement "NOT(MyAge > YourAge)" is true if MyAge is not greater than YourAge, which is not the case in this scenario because 30 is less than 40.

Therefore, option (a) is false.

The statement "MyAge >= YourAge" is also false because MyAge (30) is less than YourAge (40). Therefore, option (b) is also false.

Option (c) states that none of the above statements are true, which is also false because statement (a) is false.

Option (d) is irrelevant because it compares the values of MyAge and YourAge with string values, which is not the correct way to compare integers. Therefore, option (d) is also false.

The correct answer is (c) None of the above are a true statement.

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Step-by-step explanation:

ffdfgjufdduudryhcoydktsnvkysoyeits

The probability that a sample of size 16 will have a sample mean greater than 82.5 is 0.006 or 0.6%.

We will use the standard normal distribution (also known as the z-distribution) which is a normal distribution with a mean of 0 and a standard deviation of 1.

We first need to convert the sample mean of 82.5 to a z-score. To do this, we use the following formula:

z = (x - μ) / σwhere x is the sample mean, μ is the population mean, and σ is the population standard deviation.

So, the z-score of 82.5 is:

z = (82.5 - 80) / 10 = 2.5

Now we can use the z-score to find the probability using a standard normal table or calculator. The probability of a sample mean greater than 2.5 is the area under the curve to the right of 2.5.

Using a calculator or standard normal table, we can find that the probability that a sample of size 16 will have a sample mean greater than 82.5 is 0.006 or 0.6%.

So the probability that a sample of size 16 will have a sample mean greater than 82.5 is 0.006 or 0.6%.

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Volume is a three-dimensional scalar quantity. The height of the cone is 175.075 units.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the right cone is 41,251 unit³, while the diameter of the cone is 30 units. Therefore, the radius of the cone is 15 units. Thus, the height of the cone will be,

Volume = (1/3)×π×r²×h

41,251 = (1/3)×π×(15²)×h

h = 175.075 units

Hence, the height of the cone is 175.075 units.

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y=5(14-x)(x) quadratic equation best models the volume of the box .

What is volume of cuboid?

Perimeter = 2(width + length) =28

Let x=width of base, then length of base = (28/2)-x = 14-x

Volume of box = length*width*height

=x(14-x)*5  ⇒ 5x(14-x)(x)

Therefore, y=5(14-x)(x) quadratic equation best models the volume of the box .

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Answer:

I believe it should come in the mail and online x

The probability that a value selected at random from this distribution is greater than 20 is 0.5.

What is a probability with normal distribution?

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. The probabilities for values that are farther from the mean taper off equally in both directions.

Here,

Let us assume that X follows a normal distribution.

If X follows a normal distribution, then

z = (X−μ) /σ, follows a standard normal distribution.

The probability of a value selected at random from this distribution is greater than 20:

P (X > 20) = 1 − P (X ≤ 20)

P ((X − μ) / σ > 20) = 1−P((X − μ) / σ ≤ 20)

P (z > (20 − 20) /5) = 1 − P (z ≤ (20−20 / 5))

P (z > 0) = 1 − P (z ≤ 0)

The value of probability is obtained from the standard normal table as:

P (z > 0) = 1 − P (z ≤ 0)

             = 1 - 0.5

            = 0.5

Hence, the probability that a value selected at random from this distribution is greater than 20 is 0.5.

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when Justin recently bought an insurance policy with a $1,000 deductible and the $3,500 in damages from his previous week's highway rear-end collision, the total amount Justin is paying comes to $2500.

The insurance firm (the insurer) and the person(s), company, or other entity being covered have a legal agreement called an insurance policy (the insured). Reading your policy enables you to make sure that it addresses your needs and that you are aware of both your own and the insurance provider's obligations in the event of a loss.

Total amount of damage

= 3500$Total amount of insurance

= 1000$

So the total amount to be paid

= damage amount - insurance

= 3500 - 1000

=2500$

Hence the amount payable by  Justin is $2500.

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Answer:

The mean is 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

34

Answer:

(+8×5) + (-6)

(+40) + (-6)

(+40-6)

(+34)

Therefore , the solution of the given problem of circle comes out to be   option D 34 = 5.83.

A circle is formed by every region of a plane that is a certain distance from this extra spot (center). Thus, it is made up of curved areas that are spaced apart and divided by a surface. It also revolves equally it around centre from all directions. In a circular, limited double sphere, every pair of endpoints is uniformly separated from the "centre." By weaving a thread through a circle, one can create a line that leads to circular symmetry.

Here,

The following algorithm can be used to calculate the separation between two points:

=> d = √(x2 − x₁)² + (y2 − y₁)²

Here, a circle's centre is at (-2, 4), and a spot on the circle is at (3, 1). We thus have:

=> d = √(3 − (-2))² + (1 − 4)²

=> √(5)² + (-3)²

=> √25 + 9

=> √34 ≈ 5.83

As a result, 5.83 metres (or yards) is roughly how far the circular's centre is from the point on the circle. Therefore, the response is (D) 34 5.83.

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Answer:

To compare the balances of the two loans at the time of repayment, we need to calculate the future value of the loan amount for each loan option after 12 months of compounding.

For the Unsubsidized Stafford Loan:

Principal (P) = $9,529

Annual interest rate (r) = 5.95%

Compounding period (n) = 12 (monthly compounding)

Time period (t) = 1 year

Using the formula for future value of a loan (FV), we get:

The formula is:

FV = P * (1 + r/n)^(nt) = $9,529 * (1 + 0.0595/12)^(121) = $10,087.14

For the PLUS Loan:

Principal (P) = $10,172.23

Annual interest rate (r) = 6.55%

Compounding period (n) = 12 (monthly compounding)

Time period (t) = 1 year

Using the same formula, we get:

FV = P * (1 + r/n)^(nt) = $10,172.23 * (1 + 0.0655/12)^(121) = $10,774.71

Therefore, the Unsubsidized Stafford Loan will have a lower balance at the time of repayment, by $687.57 ($10,087.14 - $10,774.71).

The probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918

We can solve this problem by using the Central Limit Theorem, which states that the sample mean of a sufficiently large sample size will be normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, we are given that the population mean is 11 inches and the population standard deviation is 3 inches. We are also given that we have a sample size of 4.

First, we need to calculate the standard error of the mean (SE) using the formula

SE = σ / sqrt(n)

where σ is the population standard deviation and n is the sample size.

SE = 3 / sqrt(4) = 1.5

Next, we need to standardize the sample mean using the formula

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.

z = (13 - 11) / 1.5 = 1.33

Finally, we can use a standard normal distribution table or calculator to find the probability that a standard normal variable is greater than 1.33. The probability is approximately 0.0918.

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Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

Answer:

x's will eliminate because they have opposite coefficients

Step-by-step explanation:

Because the x's have opposite coefficients, they will eliminate when the given system of linear equations (2-var) are summed up

Answer:

x's will eliminate because they have opposite coefficients.

Step-by-step explanation:

Why the other choices are incorrect:

y's will eliminate because they have opposite coefficients - not true, they don't have opposite coefficients.

x's will eliminate because you always have to solve for x first - you can solve for y too.

y's will eliminate because why not - isn't a good explanation.

The length of the shorter leg is 3 feet and the length of the longer leg is 8 feet.

Given:

The hypotenuse of the right angle triangle is 7 feet.

one leg is 4 feet long than the other leg.

Let x be the length of shorter leg.

Longer leg length = x + 5.

According to pythagorean theorem:

\(hypotenuse^{2} = side^{2} +side^{2}\)

\(7^{2} = x^{2} +(x+5)^{2}\)

49 = \(x^{2} +x^{2} +10x+25\)

49 - 25 = 2\(x^{2}\) + 10x

\(2x^{2} +10x-24 = 0\)

\(x^{2} +5x-12=0\)

after solving the quadratic equation using quadratic formula.

x = 3 and x = -8.

since length cannot be in negative we use x = 3.

so the length of shorter leg is 3 feet.

Longer leg length = 3 + 5 = 8 feet.

Therefore the length of the shorter leg is 3 feet and the length of the longer leg is 8 feet.

Therefore the length of the shorter leg is 3 feet and the length of the longer leg is 8 feet.

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Answer:

maybe 23

Step-by-step explanation:

Answer:

1000L

Step-by-step explanation:

3000l=1kl

3000l×3kl