There is a pair of parallel sides in the following shape.
17
3
11
What is the area of the shape?
units²

By using Pythagorean theorem to find the length of the hypotenuse, we get the answer as hypotenuse of 115

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the legs of the right triangle.

In a right triangle, the hypotenuse is the side that is opposite the right angle. It is the longest side of the triangle and it is always opposite the 90-degree angle. The other two sides of the right triangle are called the legs, and they form the right angle.

we can use the Pythagorean theorem to find the length of the hypotenuse:

a^2 + b^2 = c^2

82^2 + 80^2 = c^2

6724 + 6400 = c^2

c = √(6724 + 6400) = √13124

c = 114.74

Since all three sides of the triangle have to be integers and the hypotenuse is the one that should have the largest value, we can round the value of c up to 115

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Answer:

Yes

Yes

No

Explanation:

It is important to use your own personal computer when banking online. Using public computers put your information at risk. For example, your browser history can be easily retrieved by others when using public computers, so this allows them to access your bank account information or your password.

Financial institutions use "encryption" technology in order to ensure that a person's information will remain confidential. This technology prevents your information from being deciphered.

You can pay bills with online banking and this is very common nowadays. People usually pay their electricity bill, internet bill and online purchases through online banking.

Answer:

515,857,549,048

Step-by-step explanation:

I guess you are to write in numerals

Five hundred fifteen billion = 515,000,000,000

eight hundred fifty-seven million = 857,000,000

five hundred forty-nine thousand = 549,000

forty-eight = 48

Total = 515,000,000,000 + 857,000,000 + 549,000 + 48

= 515,857,549,048

Therefore,

Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight = 515,857,549,048

WHO HAS THE ANSWER!! I DONT GET IT. PLEASE COMMENT THE ANSWER ON MY POST

Answer:

the answer is B. 0.75 gallon

Step-by-step explanation:

i just worked through this one on edgunity

Hello!

10 seconds to return to the ground.

7 seconds to reach 576 feet above the ground.

Find the amount of time taken to reach the ground by setting the equation equal to 0:

0 = -16t² + 80t + 800

Factor out -16 from the equation:

0 = -16(t² - 5t - 50)

Factor the terms inside of the parenthesis:

0 = -16(t - 10)(t + 5)

Find the zeros:

t - 10 = 0

t = 10

t + 5 = 0

t = -5

Time can only be positive in this instance, so the correct answer is 10 sec.

Find the time by substituting in 576 for the height:

576 = -16t² + 80t + 800

Subtract 800 from both sides:

-224 = -16t² + 80t

Rearrange:

0 = -16t² + 80t + 224

Simplify:

0 = -16(t² - 5t - 14)

0 = -16(t - 7)(t + 2)

t = 7 seconds.

To find the values of "a" and "b" in the equation y = a * xᵇ + 4, we can use the given information when x = 1 and y = 9, and when x = 2 and y = 44.

When x = 1 and y = 9, we substitute these values into the equation:
9 = a * 1ᵇ + 4
Simplifying the equation:
9 - 4 = a * 1ᵇ
5 = a
When x = 2 and y = 44, we substitute these values into the equation:
44 = a * 2ᵇ + 4
Simplifying the equation:
44 - 4 = a * 2ᵇ
40 = 2ᵇ
To solve for "b", we can rewrite 40 as 2³ * 5:
2³ * 5 = 2ᵇ
Since the bases are the same, the exponents must be equal:
3 = b
Therefore, the value of "a" is 5, and the value of "b" is 3.

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Answer:

a) See attachment

b) P has coordinates of (5,7)

Step-by-step explanation:

Answer:

\(A' = (-4,4)\)

Step-by-step explanation:

Given

\(A = (-2,2)\)    \(B = (1,3)\)       \(C = (1,0)\)

\(k =2\) --- scale factor

Required

Determine A'

This is calculated as:

\(A' = A * k\)

\(A' = (-2,2) * 2\)

\(A' = (-2 * 2,2 * 2)\)

\(A' = (-4,4)\)

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer:

y = 9

Step-by-step explanation:

3y − 3 = 2y + 6

3y - 2y = 6 + 3

y = 9

I hope this is detailed enough for you :)

The result of the multiplication of  (√2x³ +√12x)(2√10x³ + √6x²) is

\(2\sqrt{20}x^6 + \sqrt{12}x^5 + 2\sqrt{120}x^4 + \sqrt{72}x^3\)

What is multiplication?

Multiplication is a mathematical operation in which one number is multiplied by another. It is usually used to calculate the product of two or more numbers. It is an important operation in mathematics and is used in a variety of ways, including calculating the area of a rectangle, the volume of a cube, and the total cost of items purchased at a store. Multiplication is often represented by the multiplication symbol, which is usually an 'x' or an asterisk (*). When two numbers are multiplied, the result is called the product. For example, if two numbers are multiplied together, the product is the answer to the question "what is the result of multiplying these two numbers together?" The answer is the product of the two numbers.

Here the multiplication given is

(√2x³ +√12x)(2√10x³ + √6x²)

\(2\sqrt{20}x^6 + \sqrt{12}x^5 + 2\sqrt{120}x^4 + \sqrt{72}x^3\)

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Answer:

it shoud be 22.46

Step-by-step explanation:

Answer:

1,123,000

because it just is

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

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Answer:

around 33.51

Step-by-step explanation:

Hello! :)

Let’s start with the basics:

How to Find the Volume of a Sphere:

Formula: V= 4/3\(\pi\)r^3, which means the volume is 4/3 times the approximation of pi (3.14 or 22/7) time the radius with an exponent of 3.

Now that we know how to find the volume of a sphere, let’s solve the actual problem :D

The diameter is 4. We have to find the radius to find a volume of a sphere.

The radius is the diameter divided by 2; that makes our radius, 2.

So, V= 4/3\(\pi\)(2)^3
Let’s solve the exponent first. 2^3= 2(2)(2) which is 8.

Now, you can either solve 4/3 times 8 first, or 4/3 times pi. I’m going to solve 4/3 times 8 to make it a little bit easier.

4/3 times 8= 32/3 which is around 10.7 (10.6667).

Now, let’s do 10.7 times pi. (I’ll be using 3.14 as the approximation of pi.)

10.7 x 3.14= 33.598 (actual answer using 10.6667 is 33.51).

And there you go! I hope this helps, let me know if you have any questions/I did anything wrong. Good luck! :D

Answer:

(2, 0) and (0, 4) are coordinates in the form of (x, y)

(2, 0) -> x = 2, y = 0

(0, 4) -> x = 0, y = 4

Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

Answer:

27/4

Step-by-step explanation:

added in the picture

Answer: \(y=\frac{3}{5}-\frac{2}{5}x\)

Step-by-step explanation:

Move the variables to the right:

\(2x+5y=3\)

\(5y=3-2x\)

Divide both sides:

\(5y=3-2x\)

\(y=\frac{3}{5}-\frac{2}{5} x\)

Solution:

\(y=\frac{3}{5}-\frac{2}{5} x\)

Answer:

what's the question

Step-by-step explanation:

is there any numbers involved

Answer:

535572

Step-by-step explanation:

Np just for a friend

Measures of m∠1 = 67.4°, m∠2 = 104.5°

What are the measures of angle?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Here, we have

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

Angle 2 is the exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

104.5° = angle 1 + 37.1°

angle 1 = 104.5° -37.1° = 67.4°

Hence, the measures of m∠1 = 67.4°, m∠2 = 104.5°.

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Answer:

You would make $300

40/8 = 5

5 x 60 = 300

Answer:

$300

Step-by-step explanation:

The first step is to divide 60 by 8 to get her hourly rate which will be about $7.5 an hour.

The second step is to multiply 7.5 by 40 to get her payment of $300

The maximum likelihood estimator for the variance, (ui|\(X_{2i}\), \(X_{3i}\), β₄\(X_{4i}\)), is unbiased.

To analyze the bias of the maximum likelihood estimator (MLE) for the variance, we need to consider the assumptions and properties of the regression model.

In the given regression model:

\(Y_i\) = β₁ + β₂\(X_{2i}\) + β₃\(X_{3i}\) + β₄\(X_{4i}\) + U\(_{i}\)

Here, \(Y_i\) represents the dependent variable, \(X_{2i}, X_{3i},\) and \(X_{4i}\) are the independent variables, β₁, β₂, β₃, and β₄ are the coefficients, U\(_{i}\) is the error term, and i represents the observation index.

The assumption of the classical linear regression model states that the error term, U\(_{i}\), follows a normal distribution with zero mean and constant variance (σ²).

Let's denote the variance as Var(U\(_{i}\)) = σ².

The maximum likelihood estimator (MLE) for the variance, σ², in a simple linear regression model is given by:

σ² = (1 / n) × Σ[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

To determine the bias of this estimator, we need to compare its expected value (E[σ²]) to the true value of the variance (σ²). If E[σ²] ≠ σ², then the estimator is biased.

Taking the expectation (E) of the MLE for the variance:

E[σ²] = E[ (1 / n) × Σ[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

Now, let's break down the expression inside the expectation:

[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

= [ (β₁ - β₁) + (β₂\(X_{2i}\) - β₂\(X_{2i}\)) + (β₃\(X_{3i}\) - β₃\(X_{3i}\)) + (β₄\(X_{4i}\) - β₄\(X_{4i}\)) + \(U_{i}\)]²

= \(U_{i}\)²

Since the error term, \(U_{i}\), follows a normal distribution with zero mean and constant variance (σ²), the squared error term \(U_{i}\)² follows a chi-squared distribution with one degree of freedom (χ²(1)).

Therefore, we can rewrite the expectation as:

E[σ²] = E[ (1 / n) × Σ[\(U_{i}\)²] ]

= (1 / n) × Σ[ E[\(U_{i}\)²] ]

= (1 / n) × Σ[ Var( \(U_{i}\)) + E[\(U_{i}\)²] ]

= (1 / n) × Σ[ σ² + 0 ] (since E[ \(U_{i}\)] = 0)

Simplifying further:

E[σ²] = (1 / n) × n × σ²

= σ²

From the above derivation, we see that the expected value of the MLE for the variance, E[σ²], is equal to the true value of the variance, σ². Hence, the MLE for the variance in this regression model is unbiased.

Therefore, the maximum likelihood estimator for the variance, (ui|\(X_{2i}\), \(X_{3i}\), β₄\(X_{4i}\)), is unbiased.

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The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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The scenario of the test statistic by assuming observed value as 2800 for the given mean of $2.683 is equal to 2.925.

Mean of debt of college graduates in 2006 = $2,683

Standard deviation = $40.

To calculate the test statistic, we need to have a hypothesis test.

The z-score for a particular value of outstanding credit card debt.

The formula for calculating the z-score is,

z = (x - μ) / σ

where

x is the observed value,

μ is the mean,

and σ is the standard deviation.

Let us assume to calculate the z-score for a college undergraduate who has an outstanding credit card debt of $2,800.

Then, the z-score will be,

z = (2800 - 2683) / 40

  = 2.925

Therefore, the test statistic of z-score for this scenario is 2.925 by assuming outstanding credit card debt value as $2,800.

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Answer: 27

Step-by-step explanation:

If 2 scoops of ice cream cost $6, then 1 scoop of ice cream costs $6/2 = $3.

So, 9 scoops of ice cream would cost 9 x $3 = $27.

Answer:

27$

Step-by-step explanation:

If two wcoops of ice crewm cost 6$ them one scoop would cost 3$ because 6/2 =3. If one scoop costs 3$ then 9 scoops would cost 9x3 so 27$

Answer:

The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.

Step-by-step explanation:

Answer: apx^2-bpxy+aqxy-bqy^2

Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.