This data set shows the scores that each of the students in a class earned on a quiz.


87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100


Identify the measure that is most likely considered best to describe the variability in the quiz scores.


Select from the drop-down menus to correctly complete the statement.


Since there appear to be

Choose.

in the data set, and since the

Choose.

is close to the median, the

Choose.

can be considered best to describe the variability in the quiz scores

The value of the variable x in the trapezium is 6 .

The diagram above is a trapezium. The mid segment of the trapezium is EF. The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

Therefore, using the mid segment rule,

EF = 1 / 2 (AB + CD)

EF = 4x - 1

AB = 3x

CD = x² - x - 2

Therefore,

4x - 1 = 1 / 2(3x + x² - x - 2)

4x - 1 = 1 / 2 (x² + 2x - 2)

8x - 2 = x² + 2x - 2

x² + 2x - 8x  = 0

x² - 6x = 0

x² = 6x

x = 6

Therefore,

x = 6

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Answer: $27.50

(correct me if i'm wrong, please)

Step-by-step explanation:

(22) + (22 * 0.20) + (20 * 0.05)

22 + 4.40 + 1.10

22 + 5.50

= $27.50

Angle 2 is the angle of elevation from point Q to point R.

What is angle of elevation ?

The angle of elevation is the angle formed between a horizontal line and the line of sight from the observer's eye to an object located above the observer's level. In other words, it is the angle between the horizontal and an imaginary line drawn upwards from the observer to the object being viewed. It is typically measured in degrees or radians.

Given,

Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line.

Lines are drawn from point Q to point R and from point R to point S.

angle of depression from point R to point S.

The angle of depression from point S to point R is angle 3.

Therefore, Angle 2 is the angle of elevation from point Q to point R.

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Answer:

the angle of depression from point R to point S is angle 3

the angle of elevation from point S to point R is angle 4

angle 2 is the angle of elevation from point R to point Q

angle 1 is the angle of depression from point Q to point R

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

The direction "North" is parallel to itself, because of the reflexive property of parallel lines. Using the alternate interior angles theorem, the measure of x + 25 must be equal to 60 degrees. 60 - 25 = 35

Answer:

x = 35°

Step-by-step explanation:

The angle made by the directional line from wharf to Shell Cove relative to North is 60° at the point of departure from the wharf

The angle that this same line makes at the point of arrival at Shell Cove must be 60° relative to North since the two North directions are perpendicular and the line connecting the wharf and shell cove is a transversal intersecting these lines

This is because of the property that when two parallel lines are intersected by a transversal, the alternate interior angles must be the same

The angle made by this transversal at Shell Cove = x + 25 degrees

Since (x + 25)° = 60°

x = 60° - 25°

x = 35°

As per the exchange rate, 4.5 million YEN is equivalent to 41,145 USD.

The first step in converting currency is to determine the current exchange rate between the two currencies. In this case, we will need to find the exchange rate between Japanese yen (JPY) and US dollars (USD). As of writing this, the exchange rate is 1 USD = 109.62 JPY.

Next, we will use the conversion factor to convert 4.5 million JPY to USD. To do this, we need to multiply the amount of JPY by the conversion factor, which is the exchange rate.

1 USD / 109.62 JPY = 0.00913 USD/JPY

Now, we can use this conversion factor to convert 4.5 million JPY to USD.

4.5 million JPY * 0.00913 USD/JPY = 41,145 USD

Therefore, 4.5 million JPY is equivalent to 41,145 USD.

In conclusion, converting currency from one form to another may seem challenging, but with the help of conversion factors, it becomes simple. Just remember to multiply the amount of the original currency by the conversion factor to get the equivalent value in the desired currency.

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Answer:

a) f(x) = (1/3)√(x-4)

b) f(x) = 4√(x+3)

c) f(x) = 6 - √(x - 2)

y = 3x - 4 is the equation of the line in slope intercept form. Option C is correct

The formula for calculating the equation of a line in point slope form is expressed as:

y - y0 = m(x - x0)

where:

m is the slope

(x0, y0) is the point on the line

Using the coordinate points (2, 2) and (0, -4). The slope is calculated as:

Slope = -4-2/0-(2)
Slope = -6/-2
Slope = 3

The required equation will therefore be expressed as:

y + 4 = 3(x - 0)

y + 4 = 3x

y = 3x - 4

Hence the slope-intercept form of the equation is y = 3x - 4

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To convert 1 teaspoon to 1 ml multiply the volume by the conversion ratio of  4.928922.

Add the volume to the conversion ratio to convert a teaspoon measurement to a millilitre measurement.

You may convert between teaspoons and milliliters using the following straightforward formula:

tablespoons in milliliters = 4.928922

One-third of a tablespoon's volume is represented by a teaspoon. [1] Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres. 

The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.

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The equation of the line through (1, 2) which is perpendicular to y =(-1/5)x + 1 is y = 5x - 4

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents

The standard form of a linear function is:

y = mx + b

where m is the rate of change (slope) and b is the y intercept

Two lines are perpendicular if the product of their slope is -1.

Given the line y =(-1/5)x + 1. The line perpendicular to y =(-1/5)x + 1 would have a slope of 5.

The line  perpendicular to y =(-1/5)x + 1 that includes the point (1, 1), is:

y - y₁ = m(x - x₁)

substituting:

y - 1 = 5(x - 1)

y = 5x - 4

The equation of the line is y = 5x - 4

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While the median usage for both types of apps is relatively similar, the usage range for gaming apps is much narrower than that of social media apps

From these statistics, we can conclude that gaming apps have a much narrower usage range than social media apps. To understand this concept, let's look at the interquartile range for each type of app.

The interquartile range (IQR) is the range of values between the 25th percentile and the 75th percentile of a given data set.

In this case, the IQR for gaming apps is 145 minutes, while the IQR for social media apps is 190 minutes.

This indicates that gaming apps have a much narrower range of usage than social media apps.

The median usage for gaming apps is 94 minutes, while the median usage for social media apps is 117 minutes.

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Answer: less than and less than

Step-by-step explanation: got it wrong by listening to the other answer :\

25 kilometers is approximately equal to 15.5343 miles ( rounded to four decimal places )

The conversion factor from kilometers to miles is 0.621371.

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.

The distance in kilometer = 25 kilometers

The distance in miles = conversion factor × The distance in kilometer

Substitute the values in the equation

The distance in miles = 25 × 0.621371

Multiply the numbers

=  15.5343 miles (to three decimal places).

Therefore, 25 km is 15.5343 miles

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This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Answer:

Common Ratio = 5

Step-by-step explanation:

See picture below :)

trueeeeeeeeeeeeeeeee

The correct inequality is the one in option A.

2x – 3 > 7 + 8

Here we know that:

"Three less than twice a number (x) is greater than the sum of seven and eight."

The first part:

"Three less than twice a number (x)"

Is written as:

2x - 3

The last part "... is greater than the sum of seven and eight."

Would be:

2x - 3 > 7 + 8

So that is the correct inequality, then the correct option is A.

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Answer:

The combined volume of 9cm, 7cm, and 6cm is 378cm³ if a rectangular prism or cube

Step-by-step explanation:

To find the volume of a 3-dimensional prism or cube you need to find the Area of the Base and Height and multiply them.
Equation = Bh
Since there are only 3 different numbers you just need to multiply them together.

I hope this was helpful!

220 lbs is approximately equal to 99.7903 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

220 lbs = 220 × 0.453592

Multiply the numbers

= 99.7903 kg ( rounded to four decimal places )

Therefore, 220 lbs is 99.7903 kg

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The solution to the trigonometric equation given in the task content is; π / 2.

Given; sin x − cos² x - 1 = 0 in the interval [0, 2π].

Recall; cos² x = 1 - sin² x

Therefore; sin x − 1 + sin² x - 1 = 0

sin² x + sin x - 2 = 0

Let, y = sin x;

y² + y - 2 = 0

y = -2 or y = 1

Therefore, the valid value of y is; y = 1.

Therefore; 1 = sin x

x = sin-¹ (1)

x = 90° = π/2.

Consequently, the one solution which represents the solution as required is; π / 2.

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Answer:

Para encontrar el ancho del arco en su base, necesitamos encontrar las dos raíces de la ecuación cuadrática y = -x^2 - 6x + 16, que corresponden a los puntos donde la altura del arco es igual a cero.

Vaina

y = -x^2 - 6x + 16

0 = -x^2 - 6x + 16

x^2 + 6x - 16 = 0

Podemos resolver esta ecuación usando la fórmula cuadrática:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

donde a = 1, b = 6 y c = -16.

x = (-6 ± sqrt(6^2 - 4(1)(-16))) / 2(1)

x = (-6 ± sqrt(100)) / 2

x = (-6 ± 10) / 2

Esto nos da dos soluciones posibles:

x1 = (-6 + 10) / 2 = 2

x2 = (-6 - 10) / 2 = -8

La base del arco se extiende desde x = -8 hasta x = 2, por lo que el ancho del arco en su base es:

ancho del arco = 2 - (-8) = 10

Por lo tanto, el ancho del arco en su base es 10.

Step-by-step explanation:

espero te sirva, si no puedes español traducelo

A graph that represents the number of books made in 4 hours include the following: B. graph B.

In order to write a linear inequality to describe this situation, we would assign variables to the number of books and the number of hours respectively, and then translate the word problem into algebraic equation as follows:

Since this printer makes more than three (3) copies of book every hour, a linear inequality which models or represents this situation is given by:

y > 3x

When the number of hours, x = 4 hours, the number of books made can be calculated as follows;

y > 3x

y > 3(4)

y > 12.

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If you arrived at a relative's house 45 seconds after leaving home, traveling 90 m, the speed was 2 meters per second.

To find out how fast you traveled, you need to use the formula for speed, which is distance divided by time. In this case, the distance is 90 meters and the time is 45 seconds.

So, you can plug these values into the formula to find your speed:
Speed = Distance / Time
Speed = 90 meters / 45 seconds
Speed = 2 meters per second

Therefore, you traveled at a speed of 2 meters per second. This means that you covered 2 meters in just one second. This is a relatively fast speed, especially if you were walking or running.

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The two-sample t-test is a statistical test used to compare the means of two independent groups to determine if they are significantly different from each other.

The null hypothesis in a two-sample t-test states that there is no significant difference between the means of the two groups.

The test is performed by calculating the t-statistic, which is a ratio of the difference between the means of the two groups and the standard error of the difference. The t-statistic is then compared to a critical value from the t-distribution with degrees of freedom equal to the sum of the sample sizes minus 2.

If the calculated t-statistic is greater than the critical value, then the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the two groups. If the calculated t-statistic is less than the critical value, then the null hypothesis is not rejected, and it is concluded that there is not enough evidence to suggest a significant difference between the means of the two groups.

Therefore, the 2 sample t-test of null hypothesis has been explained

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After converting 1.77 meters to feet its value is equal to 5.8071 feet ( approximately ) .

Conversion of meters to feet we get,

1 meter is equal to 3.28084 feet

Substitute the value given meters to convert into feet.

Now convert 1.77 meters to feet

⇒ 1.77 meters =  ( 1.77 ) × ( 3.28084 ) feet

⇒ 1.77 meters =  5.8070868 feet

⇒ 1.77 meters =  5.8071 feet ( approximately )

Therefore, the conversion unit of 1.77 meters to feet is given by 5.8071 feet ( approximately ) .

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nswer:

Step-by-step explanation:

6102.36 inches

Rember that you multiply the lentclength value by 39.37

Answer:

a) The probability that the first two people share a birthday is 0.97 or 97%.

b) The probability that at least two people share a birthday is 0.99 or 99%.

c) The probability that all three people share a birthday is 0.0015 or 0.15%.

d) The probability that at least one pair of 15 people share a birthday is 0.58 or 58%.

e) The probability that at least one pair of 23 people share a birthday is 0.87 or 87%.

The factors of 20 are 1, 2, 4, 5, 10 and 20. A number that divides 20 exactly without producing a remainder is said to be one of its factors.

In other words, the factors of 20 are the numbers that, when multiplied in pairs, result in the number 20. 20 has many factors besides 1 and 20 because it is an even composite number. Thus, 1, 2, 4, 5, 10, and 20 are the factors of 20.

By dividing 20 by various integers, the division method allows one to discover the factors of the number 20. The integers are the factors of 20 if they divide 20 precisely with a remainder of 0. Let's discuss the factors of 20 using the division method now.

20/1 equals 20 (factor 1; remainder 0).

20/2 = 10 (Factor is 2 and Remainder is 0)

20/4 equals 5 (the factor is 4 and the remainder is 0).

20/5 equals 4 (the factor is 5 and the remainder is 0).

20/10 equals 2 (factor is 10; remainder is 0).

20/20 = 1 (20 is the factor and 0 is the remainder).

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The lengths of a triangle must satisfy the triangle inequality which states that the sum of any two sides must be greater than the third side.

For option A:

5 + 9 = 14, which satisfies the triangle inequality. However, 5 + 14 = 19, which is not greater than 9. Therefore, this set of numbers does not satisfy the triangle inequality.

For option B:

7 + 7 = 14, which is less than 15. Therefore, this set of numbers does not satisfy the triangle inequality.

For option C:

1 + 2 = 3, which satisfies the triangle inequality. However, 1 + 4 = 5, which is not greater than 2. Therefore, this set of numbers does not satisfy the triangle inequality.

For option D:

3 + 6 = 9, which satisfies the triangle inequality. 3 + 8 = 11 and 6 + 8 = 14, both of which are greater than 8. Therefore, this set of numbers satisfies the triangle inequality.

So, the numbers 3, 6, and 8 could represent the lengths of a triangle. Therefore, the answer is option D.

Answer:

A and D

Step-by-step explanation:

you would have to test each option using the triangle inequality theorem

which is when the sum of any two sides of the triangle are greater than or equal to the third side

A)  5+9 [tex]\geq[/tex] 14  true

     5+14 [tex]\geq[/tex] 9  true

     14+9 [tex]\geq[/tex] 5  true

B)  7+7 [tex]\geq[/tex] 15  false    This answer can be eliminated

C)  1+2 [tex]\geq[/tex] 4    false     This answer can be eliminated

D)  3+6 [tex]\geq[/tex] 9  true

     3+8 [tex]\geq[/tex] 6   true

     6+9 [tex]\geq[/tex] 3   true      

A solution set calculator online is a tool used to find the set of values that satisfy an equation or system of equations.

It is useful in a variety of mathematical fields such as algebra, calculus, and linear algebra. The calculator takes in the equation(s) and returns the solution set, which is the set of values that satisfy the equation(s). These calculators can be used for both linear and nonlinear equations, and can help in finding the solutions to problems that are difficult or time-consuming to solve by hand.

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