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Answer:

proper fraction

Step-by-step explanation:

This is a proper fraction, which has a numerator smaller than the denominator

a mixed number has a whole number in front  such as 1  3/5

An improper fraction has a numeration greater than a denominator such as 7/6

Answer:

Because there is only one out put for each domain this mapping diagram is a function.

Step-by-step explanation:

Two sets are involved.  There is a directional property, the relation is defined from one set called the domain on to another set called the codomain. A function is a relation that has exactly one output for each input in the domain.

The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

apply your data

y-2 = 4(x-6)

Answer:

y−2= −2(x−7)

Step-by-step explanation:

khan academy says its right

Answer:

139°

Step-by-step explanation:

18°+23°+?= 180°{sum of angles on a triangle}

41°+?° = 180°

?° =180-41=139°

hello

to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file

Answer:

32 Degrees

Step-by-step explanation:

Thank me later lol

Step-by-step explanation:

Just :    5,8374

The range of possible lengths of the third sides of each triangle are:

7. 13 < x < 22 (14 cm to 21 cm)

8. 28 < x < 76 (29 ft to 75 ft)

9. 23 < x < 41 (24 yd to 40 yd)

10. 1 < x < 31 (2 km to 30 km).

The formula for finding the range of the possible length of the third side of a triangle, x, is: difference of two sides < x < sum of two sides.

Therefore:

7. 17 - 4 < x < 17 + 4

13 < x < 22

The range of the length of the third side of the triangle would be 14 cm to 21 cm.

8. 52 - 24 < x < 52 + 24

28 < x < 76

The range is: 29 ft to 75 ft

9. 32 - 9 < x < 32 + 9

23 < x < 41

The range is: 24 yd to 40 yd

10. 17 - 16 < x < 16 + 17

1 < x < 31

The range is: 2 km to 30 km.

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Answer:

D. Factoring trinomials

Step-by-step explanation:

The factoring trinomials method is the best way to factor the expression, since it is in the standard trinomial form ax² + bx + c

In this method, you can factor the expression by finding 2 factors of c that add up to b.

The expression is not in the simplest form, and difference of squares cannot be used because there are no perfect squares. Prime factorization is also not used for factoring expressions with variables.

So, D is the right answer.

Answer:

609.55

Step-by-step explanation:

789.34−45.75+145.67+503−782.71=609.55

Using translation concepts, it is found that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule applied for each vertex of the rectangle is given as follows:

(x,y) -> (x + 7, y - 2).

The new coordinates of A' are given as follows:

(-2 + 7, 2 - 2) = (5,0).

The new coordinates of B' are given as follows:

(-2 + 7, 4 - 2) = (5,2).

The new coordinates of C' are given as follows:

(2 + 7, 4 - 2) = (9,2).

The new coordinates of D' are given as follows:

(2 + 7, 2 - 2) = (9,0).

Since there are only two values for the x-coordinates and two values for the y-coordinates, if the corresponding vertices were connected with line segments, a rectangle would be formed.

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A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.

The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.

Volume of rectangular tabletop= (length x width x height)

The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.

Volume of rectangular tabletop= (length x width x height)

                                                 = \(8 \times 3 \times 1\\\\24\)

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.

The weight of the tabletop, in pounds = 43 x 24

                                                              = 1032 pounds

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

The average speed in miles per minute during the interval of 30 and 40 is -1.5 miles per minute

From the question, we have the following parameters that can be used in our computation:

The graph

During the interval of 30 and 40, we have

Distances = 15 and 0

So, we have

Average speed = (15 - 0)/(30 - 40)

Evaluate

Average speed = -1.5

Hence, the average speed in miles per minute is -1.5

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Answer:

Step-by-step explanation:

The probability Mrs. Walker will pick all 32 of the first round games correctly is given by:

0.56^32 = 1.56789e-10

To find the probability that Mrs. Walker will pick exactly 8 games correctly in the first round, we can use the binomial formula:

P(x=8) = 32 choose 8 * 0.56^8 * (1-0.56)^(32-8)

Where 32 choose 8 is the number of ways to choose 8 games out of 32.

To find the probability that Mrs. Walker will pick exactly 28 games incorrectly in the first round, we can use the same formula as in 2:

P(x=4) = 32 choose 4 * 0.56^4 * (1-0.56)^(32-4)

Using the concepts of the mean and the median, the correct option is given by:

B.

The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.

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A similar problem is given at https://brainly.com/question/24097242

Answer:

B- 3.48 ÷ 3

Step-by-step explanation:

3.48 ÷ 3= 1.16

Hope this helps

-mercury

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Answer:

the answers are in the photo

Step-by-step explanation:

you can solve for the range and domain by making an x and y chart, listing the x values, then using the graph in the first part to find the y values with the slope. for the matching part, you can find what the slope is by seeing how much the x values increase and same with the y values. then match the graph with wahtever equation has that slope. I hope this helps

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

92.3%

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

\(\boxed{X \sim\text{N}(\mu,\sigma^2)}\)

Given:

Therefore, if the speeds that people drive down the Pat Bay Highway are normally distributed:

\(\boxed{X \sim\text{N}(90,7^2)}\)

where X is the speed in km/h.

f we want to find what proportion of drivers travel between 80 and 120 km/h, we need to find P(80 ≤ X ≤ 120).

\(\implies \sf P(80 \leq X \leq 120)=P(X \leq 120)-P(X \leq 80)\)

Converting to the Z distribution:

\(\boxed{\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \dfrac{X-\mu}{\sigma}=Z, \quad \textsf{where }\: Z \sim \textsf{N}(0,1)}\)

Transform X to Z:

\(\sf P(X \leq 120)=P\left(Z \leq \dfrac{120-90}{7}\right)=P\left(Z \leq \dfrac{30}{7}\right)\)

\(\sf P(X \leq 80)=P\left(Z \leq \dfrac{80-90}{7}\right)=P\left(Z \leq -\dfrac{10}{7}\right)\)

Therefore:

\(\begin{aligned}\implies \sf P(80 \leq X \leq 120)&=\sf P\left( -\dfrac{10}{7} \leq Z \leq \dfrac{30}{7}\right)\\\\&=\sf P\left(Z \leq \dfrac{30}{7}\right)-P\left(Z \leq -\dfrac{10}{7}\right)\\\\&=\sf 0.999990892...-0.0765637255...\\\\&= \sf 0.9234271...\\\\&=\sf 92.34271...\%\end{aligned}\)

Therefore, the proportion of drivers travelling between 80 and 120 km/h is 92.3% (nearest tenth).

The total cupcakes the bakery sell that day is 80

From the question, we have the following parameters that can be used in our computation:

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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B. squares due to error (SSE) is the correct option.

What is squares due to error (SSE)?

Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.

The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.

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