compare the standard deviations of the four distributions. what do you notice? why does this make sense?

The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

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Answer:

D

Step-by-step explanation:

Since D is 18x/9 , you can divide 18 by 9 and you end up with 2x

The computation shows that the best buy is 24-cup container at $1.10

The 2-cup container is $0.89. This will be per cup as:

= $0.89/2

= $0.45

The 24-cup container is $1.10. This will be:

= $1.10/24

= $0.046

The 3-cup container is $1.75. This eill be:

= $1.75/3

= $0.58

Therefore, the best buy us 24-cup container at $1.10

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Answer:

6y and 9y

Step-by-step explanation:

.

Answer:

1

Step-by-step explanation:

It is 1 because the laws of exponents state that anything raised to the power of 0 is 1.

Answer:

number of green counters

=12-3+1+2

=6

number of green and yellow counters

=6+2

=8

probability of getting green or yellow counter

=8/12

=2/3

Step-by-step explanation:

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

D=36

Step-by-step explanation:

All angles of the triangle add up to 180. Subtract 180-59-55=66

Then the missing measurement is a vertical which means that E=66.

So then 180-78-66=36

Answer:

  2/3

Step-by-step explanation:

The given equation is in the form ...

  y = mx + b

The values of m and b in your equation are ...

  slope = m = 2/3

  y-intercept = b = 5

The slope of the line described by the given equation is 2/3.

With x = 9 and y = 9, the minimum value of q is 729.

We have,

The concept used to solve the problem is substitution.

By substituting the given values of x and y into the function

\(q = 6x^2 + 3y^2\), we can evaluate the expression and find the minimum value.

Substitution allows us to replace the variables with their specific values and simplify the equation to obtain the result.

To minimize the function q = \(6x^2 + 3y^2\) with the constraint x = 9 and y = 9, we substitute the given values into the function.

Substituting x = 9 and y = 9 into q, we have:

\(q = 6(9)^2 + 3(9)^2\)

= 6(81) + 3(81)

= 486 + 243

= 729

Therefore,

With x = 9 and y = 9, the minimum value of q is 729.

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By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

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Answer: 4 and 7 over 124

7

12

≈4.583

Step-by-step explanation: im trying to get my first brainliest

Answer:

55/12 or 4 7/12 in mixed number form

Step-by-step explanation:

turn everything into improper fraction

11/6 +11/4

44/24+66/24 = 110/24 = 55/12 = 4 7/12

Two triangles are similar but not congruent if they have three congruent angles but the side lengths are not equal.

What is the congruency of triangles?

To show how can the triangles be proven similar by the SSS similarity theorem:

The two triangles can be shown to be similar given that the ratios of the corresponding sides ΔWUV and ΔYXZ are constant

Reason:

Known parameters are:

ΔWUV and ΔXZY are shown:

∠VUW ≅ ∠YXZ

∠UWV ≅ ∠XZY

∠UVW ≅ ∠ZYX

Length of side VW = 60

Length of side VU = 50

Length of side UW = 40

Length of side  ZY = 48

Length of side  YX = 40

Length of side  XZ = 32

The ratio of the sides are:

\(\frac{VW}{ZY} =\frac{60}{48} =\frac{5}{4} \\\frac{VU}{YX} =\frac{50}{40} =\frac{5}{4} \\\frac{UW}{XZ} =\frac{40}{32} =\frac{5}{4}\)

Therefore, given that  the angles of ΔWUV and ΔXZY are all congruent, and the sides of triangle ΔWUV and ΔXZY have a constant proportion, we have that the two triangles are congruent by the Side-Side-Side SSS congruency theorem,  and we have:

ΔWUV ~ ΔYXZ given that ΔYXZ is a scaled drawing of ΔWUV.

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The complete question is given here:

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

The slope of a line perpendicular to this line is 3.5

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

y = -2/7x + 3/7

Using the above as a guide, we have the following:

A linear equation is represented as

y = mx + c

Where

m = slope

So, we have

m = -2/7

The slope of perpendicular lines are opposite reciprocals

So, we have

new slope = -1/(-2/7)

Evaluate

new slope = 3.5

Hence, the slope of a line perpendicular to this line is 3.5

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Answer:

Step-by-step explanation:

the equation has none because-1because-10 w9nt touch the x axis. One is 10 and I don't know the other.

12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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According to the question, the concrete construction, "temperature steel" refers to steel that is provided for temperature stresses. Therefore, option 3 is the correct answer.

In concrete construction, temperature steel refers to steel reinforcement that is specifically designed to handle temperature-related stresses in the structure. Concrete is a material that undergoes expansion and contraction with changes in temperature. These temperature variations can lead to cracks and structural issues if not properly addressed. Temperature steel, also known as thermal reinforcement or temperature reinforcement, is incorporated in the concrete to counteract these effects.

The temperature steel is typically placed in areas of the structure where temperature changes are expected to be significant, such as near joints, supports, and areas exposed to direct sunlight. It is usually in the form of bars or mesh and is placed parallel to the surface of the concrete. By providing temperature steel, the structure can better accommodate the thermal movements of the concrete, reducing the risk of cracking and maintaining its integrity.

Temperature steel is different from steel prepared at high temperatures, produced by hot rolling, or intended for hot-weather concreting operations. While steel may undergo various treatments and processes during its production, temperature steel specifically refers to steel reinforcement designed to handle the temperature-related stresses in concrete structures.
Therefore, option 3, "Steel that is provided for temperature stresses," is the correct choice when referring to temperature steel in concrete construction.

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The value of the two required angles of the quadrilateral are:

∠B = 45°

∠A = 135°

Interior consecutive angles of a quadrilateral are supplementary angles, which means that they add up to 180°. This can be proved by the consecutive interior angles theorem which states that "If a transversal intersects two parallel lines, then it means that each pair of interior consecutive angles are supplementary (their sum is 180°).

Now, we are told that the relationship between two consecutive angles of the quadrilateral is:

∠A = 3∠B

Thus, we can say that:

3∠B + ∠B = 180

4∠B = 180

∠B = 45°

Thus;

∠A = 3 * 45° = 135°

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

The probability that 100 randomly selected college students will spend less than $10.00 on average for dinner is approximately 0.9525 or 95.25%.

We can utilize as far as possible hypothesis to inexact the conveyance of test implies for an enormous example size of 100. The example mean is regularly dispersed with a mean of the populace mean ($9.50) and a standard deviation of the populace standard deviation partitioned by the square base of the example size ($3/sqrt(100) = 0.3).

To find the likelihood that 100 arbitrarily chosen understudies will spend under $10.00 on normal for supper, we really want to find the z-score related with the worth $10.00 utilizing the recipe:

z = (x - mu)/(sigma/sqrt(n))

Subbing the given qualities, we get:

z = (10 - 9.5)/(0.3) = 1.67

Utilizing a standard typical dissemination table or number cruncher, we can find that the likelihood of a z-score under 1.67 is roughly 0.9525.

Accordingly, the likelihood that 100 haphazardly chosen understudies will spend under $10.00 on normal for supper is roughly 0.9525 or 95.25%.

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Answer:

(a) Vertical asymptote:  x = 5

     Horizontal asymptote:  y = 0

(b) Domain: (-∞, 5) ∪ (5, ∞)

     Range: (-∞, 0)

(c) x-intercept(s): None

     y-intercept: -1

Step-by-step explanation:

A vertical asymptote is a vertical line that the curve gets infinitely close to, but never touches. It is displayed as a vertical dashed line on the given graph. Therefore, the vertical asymptote is:

A horizontal asymptote is a horizontal line that the curve gets infinitely close to, but never touches. It is displayed as a horizontal dashed line on the given graph. Therefore, the horizontal asymptote is:

\(\hrulefill\)

Since the graph has a vertical asymptote at x = 5, it means that the function is undefined at x = 5. Therefore, the domain of the graph will be all real numbers except x = 5:

Since there is a horizontal asymptote at y = 0 and the curve appears to be always below the x-axis, it indicates that the range of the graph will be all negative y-values. Therefore, the range of the graphed function is:

\(\hrulefill\)

The x-intercepts are the x-values of the points where the curve intersects the x-axis, so when the y-coordinate of a point on the graph is zero.

As the given graph has a horizontal asymptote at y = 0 and the curve appears to be always below the x-axis, it implies that the graph does not cross the x-axis. Therefore:

The y-intercept is the y-value at the point where the curve intersects the y-axis, so when the x-coordinate of a point on the graph is zero.

From inspection of the given graph, we can see that the curve crosses the y-axis at y = -1. Therefore:

Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

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Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

Answer:

it is -7

Step-by-step explanation:

Answer:

Frequency values

Step-by-step explanation:

The heights of the bars of a histogram correspond to the frequency values of the given data.

Answer:

\((10 \times 3 \times 2) + (5 \times 4 \times 2)\)

\((8 \times 4 \times 2) + (3 \times 6 \times 2)\)

The total cost of the ski weekend comes out to be $250.

Total expenses for just a given period are the sum of all gross cash expenditures and furthermore any pending subsidiary items like operating expenses, reward fees, interest, & taxes.

Some key features regarding the total cost are-

Now, according to the question;

The cost of all spending are-

$50 for transportation

$50 for lodging

$50 for ski lift tickets

$100 for waiter.

Total cost = transportation cost + lodging cost +  ski lift tickets cost + waiter cost.

Total cost = $50 + $50 + $50 + $100

Total cost = $250.

Therefore, the total spending in the ski weekend are $250.

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Answer:

its either $8.34 or $8

Step-by-step explanation: