The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.

Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.

Answer:

\(\huge\boxed{(-19)^{-8}=19^{-8}}\)

Step-by-step explanation:

Use

\(a^n\times a^m=a^{n+m}\)

\((-19)^{-12}\times(-19)^4=(-19)^{-12+4}=(-19)^{-8}\)

Answer:

They r correct lol

Step-by-step explanation:

The area of the yellow region if the radius of each of the circles is 10 cm is calculated as: 171.7 cm².

The formula that is used to find the areas of circles and rectangles are given below:

Given the diagram in the attachment which shows the green circles and the rectangle, we can deduce the following:

Radius of the each of the circles (r) = 10 cm

Length of the rectangle = 4(r) = 4(10) = 40 cm

Width of the rectangle = 2(r) = 2(10) = 20 cm

The area of the yellow region = area of the rectangle - area of the 2 circles

= (length × width) - 2(πr²)

Substitute

The area of the yellow region = (40 × 20) - 2(π × 10²)

= 800 - 628.3

= 800 - 628.3

= 171.7 cm²

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Answer:

8

Step-by-step explanation:

4x2=8

The surface area of a cylinder 62.83 m².

What is Surface area ?

A solid object's surface area is a measurement of the overall space that the object's surface takes up.  In comparison to the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces, the mathematical definition of surface area in the presence of curved surfaces is significantly more complex.

The surface area of smooth surfaces, such spheres, is determined using their representation as parametric surfaces. Partial derivatives and double integration are used in this definition of surface area, which is based on infinitesimal calculus techniques.

Given that;

height = 3m

base diameter = 4m

Value of pi = 3.14

So,

Surface area of cylinder = \(2\pi \times \frac{d}{2}\times h+2\pi (\frac{d}{2} )^{2}\)

Surface area of cylinder \(= 2\times 3.14 \times \frac{4}{2}\times h+2\times 3.14(\frac{4}{2} )^{2}\)

Surface area of cylinder = 62.83 m².

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Answer:

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Step-by-step explanation:

We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%.

This means that the null hypothesis is:

\(H_{0}: p = 0.79\)

And the alternate hypothesis is:

\(H_{a}: p > 0.79\)

We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is?

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

In comparison to the pre-image triangle, the image triangle is generally smaller, upside down, displaced to the left, and raised.

A dilatation is a transformation that alters the size but not the shape of a figure. Because it is a similarity transformation, matching angles and sides remain unchanged and are proportionate. Each point's coordinates are multiplied by a scale factor, which can be larger than 1 (enlargement) or between 0 and 1 (dilation), to create a figure (reduction). The fixed point around which the figure is enlarged or contracted is known as the centre of dilatation. There are several uses for dilations, including in maps, models, and visual arts.

For the transformations given the triangle undergoes the following:

1/3 scale factor dilated about the origin: The triangle becomes smaller after this change by a factor of three.

Reflected over the x-axis: The triangle's orientation is reversed as a result of this transformation's reflection of the triangle across the x-axis.

Left translation 2 units and above: The triangle is moved 2 units up and 3 units to the left by this transformation.

Thus, in comparison to the pre-image triangle, the image triangle is generally smaller, upside down, displaced to the left, and raised.

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Answer:

This is because it is easier this way.

You avoid the problem of putting an element in one set and then realizing that the element also belongs to another set, then you must erase something in order to put the element in both sets. Starting with the intersection allows you to know where will be each set in the diagram, and in this way, the diagram should end up being more readable or "clean".

This may seem small, but being "clean" when doing math, will allow you to have an easier time dealing with a lot of problems. And also will be easier for other people when reading your equations and such.

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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The equation to represent the information that a number is four times larger then the square of one third the number is x = 4(1/3)y²

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number be represented as x and the other number be represented as y.

The appropriate equation to represent the information will be:

x = 4 × (1/3y)²

x = 4(1/3)y²

The equation illustrated the information.

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Answer:

the 9 in the tenths place is 10 times bigger than the one in the hundredths place

Step-by-step explanation:

The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

The decimal we are examining is 3.9928.

The 9 in tenth place has a value of 0.9.

The value of 9 in the hundredth place is 0.09

The fraction of the 9 in the tenth place is now the 9 in the hundredth place.

To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.

Mathematically, that would be;

0.09/0.9 = 0.1 = 1/10

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

So you can complete the statement by dragging and dropping "10 times" into the response area.

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Answer: (a) 8 : 15 (b) 8 : 7

Step-by-step explanation: all marbles is 8+7 = 15

ratio of blue marbles to ALL marbles

8 : 15

ratio of blue marbles to red

8 : 7

Answer:

6/7 = 66/77

9/11 = 63/77

6/7 is greater than 9/11

Step-by-step explanation:

To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.

So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.

Now we make both the denominators 77.

Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.

Now we have, 66/77

Do the same with the other fraction but other way around:

11 x 7 so

9 x 7 = 63

So,

63/77

So 6/7 is now 66/77 and 9/11 is now 63/77

Now compare:

66 > 63

66 is bigger so 6/7 is greater.

6/7 is greater than 9/11

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

105

Step-by-step explanation:

\(k − 34 = 71 \\ \\ k = 71 + 34 \\ \\ k = 105\)

Answer:

k=105

Step-by-step explanation:

34+71=105

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

D: <K = 35°

Step-by-step explanation:

<E = 55

<L = 90°

Now

<LKE = 180-90-55

<K = 35°

Answer:

\(\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}\)

Explanation:

Here, we state again the definition of inscribed angle in circle:

(1) An inscribed angle has the vertex on the circle and the sides are chords.

=> In the picture shown, angle ELK is inscribed angle with vertex L and LE and LK are chords.

(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.

=> Inscribed angle ELK creates intercepted arc EK.

(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.

=> Angle ELK = (1/2) arc EK

Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.

=> Angle ELK = (1/2) x 180 = 90 deg

(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.

=> Considering triangle ELK:

ELK + LEK + LKE = 180 deg

or

90 + 55 + LKE = 180 deg

or

LKE = 180 - 90 - 55 = 35 deg

Hope this helps!

:)

Answer:

136.3

Step-by-step explanation:

I assume it is asking you to add both 9.3x and 8.9y together. First you would multiply 9.3 by 7 and 8.9 by 8 which gives you 65.1 + 71.2 which equals 136.3.

This suggests that the majority of the team members have an average weight of between 90 and 100 lbs.

1. A box plot is a chart that displays the distribution of a dataset by showing the median, quartiles, and extremes of the data.

2. In this box plot, the middle 50% of the weights for the team members range from 90 to 100.

3. This means that the majority of the team members have an average weight of between 90 and 100 lbs.

The box plot shows that the majority of the team members have an average weight between 90 and 100 lbs.

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Answer: 9.900

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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Answer:

180,300= $480

Step-by-step explanation: multiply the % by the total (600) and you will get the answer. then add together

Answer:

1,880

Step-by-step explanation:

add them togther:) hope its right.