Question 4(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)

The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57


help fast
If a value of 50° is added to the data, how does the median change?

The median decreases to 77°.
The median decreases to 65.2°.
The median stays at 82°.
The median stays at 79.5°.

The required two cords together is 5 1/8 yards long, as of the given condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We can add the two cords together in different ways:

2 6/8 yards = 22/8 yards

2 3/8 yards = 19/8 yards

Total length in eighths of a yard: 22/8 + 19/8 = 41/8 yards

Simplifying 41/8 yields 5 1/8 yards.

So the two cords together are either 4 19/36 yards or 5 1/8 yards long.

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Answer:

6.67%

Step-by-step explanation:

The formula for accrued value A on a deposit P for t years compounded n times annually at i% APR is
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]

where r = i/100 i.e the interest rate as a decimal

We are given
P = $12,000

i = 6.5%

r = 6.5/100 = 0.065

n = 4 since interest is compounded annually

t = 1 year since we are interested in the annual yield

[tex]\begin{aligned}A &= 12000\left(1 + \dfrac{0.065}{4}\right)^{4\cdot 1}\\& = 12000(1 + 0.01625)^4\\&= 12000(1.01625)^4\\& = \$12,799.22\end{aligned}[/tex]

Effective Annual Interest = 12,799.22 - 12,000 = $799.22
This works out to an annual  yield of 799.25/12000

= 0.0667

= 6.67%

By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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Note that the angle indicated by the question mark is 75°. See the explanation below.

Given that the angle at the vertex that they (the equilateral triangle and the square share) is a right angle or 90 degrees.

This means that the middle angle of the equilateral triangle is 60° this is because an "equilateral" triangle has 3 equivalent sides and, therefore, 3 equivalent angles.

Since the sum of the 3 angles of ANY triangle is 180°, then 180/3 = 60° for each angle.

Because the angle at the vertex is "splitting" a right angle, or 90 degrees which belongs to the square, then that leaves 2 smaller angles on each side of the 60° angle,

or 90 - 60

=30/2

=15° each.

That is the top angle of the triangle you are trying to solve.

Therefore, since that small triangle is a right triangle, then: 180 - 90 - 15 =75°, which is the angle with a question mark (?)

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Full Question:

An equilateral triangle and a square are inscribed in a circle as shown.  ABCis isosceles. The triangle and square share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark? (See attached)

A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is called factor analysis.

Statistical techniques are methods and procedures used in the collection, analysis, interpretation, and presentation of data. These techniques involve the use of mathematical and statistical models to draw meaningful insights and conclusions from data.

Some common statistical techniques include:

Descriptive statistics: These techniques are used to summarize and describe the key features of a dataset, such as central tendency, variability, and distribution.

Inferential statistics: These techniques are used to make inferences about a larger population based on a sample of data. This involves using probability theory to estimate population parameters and test hypotheses.

Regression analysis: This technique is used to model the relationship between one or more independent variables and a dependent variable.

Hypothesis testing: This technique is used to test the validity of a hypothesis or claim about a population using sample data.

Time series analysis: This technique is used to analyze data that varies over time, such as stock prices or weather patterns.

Cluster analysis: This technique is used to group similar observations together based on their characteristics.

Data mining: This technique involves the use of automated methods to discover patterns and relationships in large datasets.

Statistical techniques are widely used in many fields, including business, economics, social sciences, medicine, and engineering. They are used to make informed decisions, identify trends and patterns, and to understand complex systems.

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The equation of the perpendicular line is 5x - 3y = 15

The complete question is added as an attachment

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

The points on the line are

(-3, 2) and (2, -1)

So, the slope (m) is

m = (-1 - 2)/(2 + 3)

Evaluate

m = -3/5

The equation of the perpendicular line is then calculated as

y = -1/m(x - x1) + y1

Where

(x1, y1) = (3, 0)

So, we have

y = 5/3(x - 3)

This gives

3y = 5x - 15

Rewrite as

5x - 3y = 15

So, the equation is 5x - 3y = 15

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The solution of the given problem of surface area comes out to be Tara and Veronica will need about 15.26 bottles of paint to cover the banner.

Its surface area is a reliable indicator of its overall size. When figuring out the right triangle squared, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes from each of the twelve vertical sides makes up the water volume inside a cuboid. Utilize the following formula to get the box's dimensions: The region is represented by 2lh, 2lw, & 2hW. (SA). The area is represented by the flexible shape's entire surface area.

Here,

To calculate the number of paint bottles needed, we need to first find the area of the parallelogram-shaped banner.

Area = base × height

The apothem is given as 9.52 cm, which is also the height of one of the triangles. The base of each of these triangles is half of the length of the banner, which is 6.8/2 = 3.4 cm. Using the Pythagorean theorem, we can solve for the height "h" of each triangle:

h² = (9.52)² - (3.4)²

h ≈ 8.56 cm

So the total height of the parallelogram is twice this value, or approximately 17.12 cm. Therefore, the area of the banner is:

Area = b × 17.12

864 × 2.54² ≈ 5574.14 cm²

So the area of the banner is:

Area = b × 17.12 = 2(6.8 + b) × 8.56 - 5574.14

Simplifying this expression, we get:

Area = 17.12b - 226.67

Now we can solve for "b" by setting this expression equal to the area of the banner that can be painted:

16(24) = 384 square feet = 384 × 144 ≈ 55302.74 cm²

17.12b - 226.67 = 55302.74

17.12b = 55402.41

b ≈ 3232.87 cm

Finally, we can calculate the area of the painted portion of the banner:

Area painted = (6.8 + b) × 17.12 - 6

Area painted ≈ 5826.24 cm²

To find the number of paint bottles needed, we divide the area painted by the coverage of one bottle:

Number of bottles = Area painted / (16 × 24)

Number of bottles ≈ 15.26

So Tara and Veronica will need about 15.26 bottles of paint to cover the banner.

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Answer:90

Step-by-step explanation:

The result of multiplcation of two positive numbers that is 18 and 5 or 18× 5 is equals to the ninty.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number. How to calculate 18 multiplied by 5 using long multiplication : we have one is two digits number,i.e, 18 and other one is 5.

1 8

x 5

______

Step 2: Multiply, 5 x 8 = 40. Put 0 below the line and 4 as a reminder on top:

4

1 8

x 5

_______

0

Step 3: Multiply 5 x 1 = 5. Take 5 and add 4 from the previous step to get 9. Enter 9 at the bottom:

1 8

x 5

_______

9 0

So, required value is 90.

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The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00

The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00. This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 25 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 25 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 25 divided by 1 equals 25, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

25 ÷ 1 = 25.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 25 as 25.0 or 25.00, since these notations convey that the number has no fractional part.

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Answer:

Angle 6 is 130 degrees

Vertical angles are 1 and 4, 2 and 3

Alt angles are 3 and 6, 4 and 5

Alt Exterior angles are 2 and 7, 8 and 1

Corresponding angles are 2 and 6, 1 and 5

Step-by-step explanation:

Jane bought 4 pounds of jolly ranchers.

To calculate how many pounds of jolly ranchers Jane bought, we need to divide the total worth of jolly ranchers by the price per pound.
Determine the price per pound of jolly ranchers. This information is not provided in the question, so we will need to assume a price. Let's say that the price per pound of jolly ranchers is $2.50.
Divide the total worth of jolly ranchers by the price per pound.
$9.75 ÷ $2.50 = 3.9
Round the answer to the nearest whole number, if necessary. In this case, 3.9 rounds up to 4.

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The end behavior of the polynomial is defined by:

Here we want to find the end behavior of a polynomial, to do it, we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12 (on the fourth term), so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

Even means that both ends tend to the same value, and in this case, a negative leading coefficient means that both ends tend to negative infinity, then:

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The given rational numbers are expressed by simply cancelling the elements, 2x2(x-4) / x(x-1).

what is rational number ?

Rational numbers are those that may be defined as a ratio (or portion) of two integers. A fraction with a strictly positive denominator is said to be rational. A few instances with rational numbers are 1/2, 1/5, and 3/4. As little more than a positive integer, "0" can also be stated in a number of different ways, such as 0/1, 0/2, and 0/3. But 1/0, 2/0, 3/0, and so forth. The theme makes sense.

A rational number is produced when several integers are split. To get the rational number 7, divide ’s entire number 7 by the full number 1. Since 7 can be derived by dividing two integers, it is referred to as a real number.

given

= 2x² (x+2)(x-4) / x(x-1)(x+2)

= 2x²(x-4) /  x(x-1)

The given rational numbers are expressed by simply canceling the elements, 2x2(x-4) / x(x-1).

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The correct statements are: B and C.

What is the linear functions?

linear functions, specifically comparing their rate of change and y-intercepts.

To compare the properties of Function A and Function B, we need to first determine the equations for both functions.

From the table, we can see that Function A has a rate of change of 3 and a y-intercept of 4. Therefore, the equation for Function A is y = 3x + 4.

To find the equation for Function B, we can use two of the given points to calculate its rate of change and y-intercept. Using the points (1, 2) and (4, 14), we get:

rate of change = (14 - 2) / (4 - 1) = 4

y-intercept = 2 - 4(1) = -2

Therefore, the equation for Function B is y = 4x - 2.

Now we can compare the properties of the two functions:

A. The rate of change of Function A is greater than the rate of change of Function B. False, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

B. The rate of change of Function A is less than the rate of change of Function B. True, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

C. The y-intercept of Function A is greater than the y-intercept of Function B. True, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

D. The y-intercept of Function A is equal to the y-intercept of Function B. False, since the y-intercept of Function A is 4 and the y-intercept of Function B is -2.

E. The y-intercept of Function A is less than the y-intercept of Function B. False, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

F. The rate of change of Function A is equal to the rate of change of Function B. False, since the rate of change of Function A is 3 and the rate of change of Function B is 4.

Hence, the correct statements are: B and C.

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The length of the guy wire is approximately 21 feet

From the question, we are to calculate the length of the guy wire.

To calculate the length of the guy wire,

First, we will determine the height of the tower.

Let the height of the tower be h

From the given diagram, we can write that

h/(9 +4) = 5/4

h/13 = 5/4

h = (13×5)/4

h = 65/4

h = 16.25 feet

Let the length of the guy wire be l

Then,

From the Pythagorean's theorem we can write that

l² = 16.25² + (9+4)²

l² = 264.0625 + 13²

l² = 264.0625 + 169

l² = 433.0625

l = √433.0625

l = 20.81015

l ≈ 21 feet

Hence, the length is approximately 21 feet

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12 adults can go with the 9 kids, while ratio changes 3kids to 4 adults.

A ratio is a comparison between two or more quantities. It is usually expressed as two numbers separated by a colon.

For example, 2:3 is a ratio indicating two parts of a whole compared to three parts of the same whole. Ratios can also be used to compare different units, such as 5 miles to 8 kilometers. Ratios can provide a useful tool for comparing and contrasting different values.They can be used to compare sizes, proportions, costs, and more.

3 kids : 4 adults

9 kids : x adults

9x = 12*4

x = 12

Therefore, 12 adults can go with the 9 kids.

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The length of missing side of the given right triangle by using pythagoras theorem is x = 12.369 .

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem. The Perpendicular, Base, and Hypotenuse of this triangle are its three sides. Because to its position opposite the 90° angle, the hypotenuse in this case is the longest side. A right triangle's positive integer sides (let's say sides a, b, and c) are squared to obtain a Pythagorean triple equation.

Consider about the triangle given above:

the perpendicular to "a,"

B stands for base,

The letter "c" stands in for the hypotenuse.

The definition provides the following as the Pythagoras Theorem formula:

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2\\\\c^2 = a^2 + b^2[/tex]

The right triangle's sides are as follows:

Perpendicular ( p ) = x

Base ( b ) = 4

Hypotenuse ( h ) = 13

Finding the length of missing side

Using Pythagoras theorem

[tex]p^2 +b^2=h^2[/tex]

plug the values

[tex]x^2+4^2=(13)^2[/tex]

Evaluate the power

[tex]x^2+16=169\\\\x^2=169-16\\\\x^2=153\\\\x=\sqrt{153}\\\\x= 12.369[/tex]

The length of missing side x = 12.369

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The complete question is ,

Find the missing side of the given right triangle whose sides are given as base = 4 units , hypotenuse = 13 units .

Answer:5:1

Step-by-step explanation:

if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, the standard error of a sample proportion can be calculated by using this formula:

Standard error = √(p × (1 - p)/n)

Where:

Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.

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Answer:

in which year does a car lose the most of its value

Step-by-step explanation:

The difference of the fraction expression 7/8 - 6/11 is 1/2.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

To estimate the difference 7/8 - 6/11 by replacing each fraction with 0, 1/2, or 1 use the expression -

7/8 - 6/11

7/8 > 3/4 so round it to 1.

1/4 ≤ 6/11 ≤ 3/4 so round it to 1/2.

Now estimate the difference by replacing each fraction with 0, 1/2, or 1 -

7/8 - 48/88 ≈ 1 - 1/2 = 1/2

Therefore, it can be estimated that 7/8 - 6/11 is approximately equal to 1/2.

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The options A,B,C are incorrect because the rise of population increase median also increases.

what is median ?

In statistics, the median is the middle value of a dataset when the values are arranged in order. Specifically, if the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. The median is a measure of central tendency that is less affected by extreme values (outliers) than the mean.

Given by the question:

(a) A rising median age in a population usually indicates an aging population.

(b) The median age could rise due to a decrease in births over time, and this trend could be observed if there were an increased lifespan and thus a decreased number of deaths.

(c) In what ways might a rising median age affect a society? (Select all that apply.)

These are just a few examples, and the effects of a rising median age can be complex and varied depending on the specific circumstances of a society.

Therefore, The options A,B,C are incorrect because the rise of population increase median also increases.

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Using the strategy below, we can identify the lightest heart (the pure-hearted person) using the balance only twice, as required by the puzzle.

we can use the following strategy:

Divide the 8 people into 3 groups of 3, and leave 2 people aside.

Weigh any two of the three groups against each other using the balance.

If the two groups weigh the same, then the pure-hearted person must be in the remaining group of two that we left aside. Weigh one of the remaining people against another one from this group.

If they weigh the same, then the remaining person is the pure-hearted one. If one is heavier, then that person is a sinner, and the lighter one is the pure-hearted person.

If the two groups from step 2 are not of the same weight, then the pure-hearted person must be in one of these two groups. Take any two people from the group that weighs more and weigh them against each other.

If they weigh the same, then the pure-hearted person is in the remaining group that was not weighed, and we can find them by weighing one person from that group against another.

If one of the two people weighed in step 5 is lighter, then that person must be the pure-hearted person. If they are the same weight, then the pure-hearted person is in the other group that was not weighed, and we can find them by weighing one person from that group against another.

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Answer:

x = 69

Step-by-step explanation:

[tex]x + 111 = 180[/tex]

[tex]x = 180 - 111[/tex]

[tex]x = 69[/tex]

Answer:

69°

Step-by-step explanation:

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

We can see that if there is a straight line, the angles must add up to 180°. To solve for the value of x, we can use this equation:

Therefore, the measure of angle x = 69°

Answer: 2,380 people attend the game

Step-by-step explanation:

Answer:

The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (7, 12).

Points on y-axis = (5, 8).

At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:

y - 12 = (8 - 5)/(12 - 7)(x - 7)

y - 12 = 3/5(x - 7)

y = 3x/5 - 4.2 + 12

y = 3x/5 + 7.80

Mark as BRIANLIEST pls

The conversion of 3000 euros to dollars is 3,540 US dollars.

Please note that exchange rates can fluctuate over time, so the exact conversion may be different depending on the current exchange rate.

The conversion of 3000 euros to dollars depends on the current exchange rate between the two currencies. As of my knowledge cutoff date of September 2021, the exchange rate was approximately 1.18 US dollars per 1 euro.

Using this exchange rate, we can convert 3000 euros to US dollars as follows:

3000 euros * 1.18 dollars/euro = 3,540 US dollars

Therefore, 3000 euros is equivalent to approximately 3,540 US dollars using the exchange rate mentioned above.

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