This table shows the scores an archer named Janisa made in a qualifying event for an archery tournament.

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What are the median and the range of the scores on this chart?

The median is 4, and the range is 5.
The median is 7, and the range is 8.
The median is 8, and the range is 7.
The median is 3, and the range is 10.

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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Answer:

angle 1 is 90

angles 2 and 3 are 65

angle 4 is 25

O Zeema gets paid £1870 per month in equal monthly payments.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.

Now when the total amount earned in a month is given then the monthly payment is calculated by dividing the total amount by 12 as there are 12 months in a year.

Annual amount earned by O Zeema=£22,440

Therefore monthly amount earned=£22,440 ÷12=£1870

Hence O Zeema earns £1870 per month

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Answer:

206.67 dollars

Step-by-step explanation:

Answer:

6 x 0,30 = $1,80

$3,30 - $1,80 = $1,50

$1,50 - $1,25 = $0,25 (not enough money)

you can buy 1 pad of paper

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Answer:

A. 8.27*10^4

D. 82,700

Step-by-step explanation:

The coordinates of the point of intersection is equal to (3, 5).

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:

y = 1 - 2x

y = x - 5

Re-arranging the equation, we have:

y + 2x = 1

y - x = -5

Subtracting, we have:

3x = 6

x = 6/2

x = 3.

For y-coordinate, we have:

y + 2x = 1

y + 2(3) = 1

y + 6 = 1

y = 1 - 6

y = -5.

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the Detention Time (TD) is approximately 3.33 hours.

To calculate the Detention Time (TD), we need to convert the flow rate from minutes to hours.

Given:

Lagoon volume (V) = 1500 m3

Flow rate into lagoon (Q) = 7.5 m3/minute

Step 1: Convert flow rate from minutes to hours:

Flow rate (Q) = 7.5 m3/minute

Flow rate (Q) = 7.5 m3/minute × 60 minutes/hour

Flow rate (Q) = 450 m3/hour

Step 2: Calculate Detention Time (TD):

Detention Time (TD) = Lagoon volume (V) / Flow rate (Q)

TD = 1500 m3 / 450 m3/hour

Step 3: Simplify the units:

TD = 1500 m3 / (450 m^3/hour)

TD = 1500 m3 × (hour / 450 m^3)

TD = 1500 / 450 hour

TD = 3.33 hours

Therefore, the Detention Time (TD) is approximately 3.33 hours.

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Answer:

448m^3

Step-by-step explanation:

volume of pyramid  = 1/3*area of base * perpendicular height

12*16=192m^2

1/3*192*7=448m^3

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)

Let assume that

\(\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)

We know,

\(\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}\)

So, using this, we get

\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)\)

Now, we use Method of Substitution, So we substitute

\( \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}\)

So, above expression can be rewritten as

\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)\)

\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)\)

\(\rm\implies \:y = 2z\)

\(\bf\implies \:y = 2 {tan}^{ - 1}x\)

So,

\(\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x\)

Thus,

\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)

\(\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)\)

\(\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)\)

\(\rm \:  =  \: 2 \times \dfrac{1}{1 + {x}^{2} } \)

\(\rm \:  =  \: \dfrac{2}{1 + {x}^{2} } \)

Hence,

\( \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}\)

Hence, Option (d) is correct.

Answer:

108

Step-by-step explanation:

324 = 2 * 2 * 3 * 3 * 3 * 3

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The HCF is 2 * 2 * 3 * 3 * 3 = 108

(a) For a random sample of 30 test takers, the answer is 18.26 (b) 12.91. (c) 10.54

(a) For a random sample of 30 test takers, the sampling distribution of the sample mean (x bar) for scores on the Critical Reading part of the test can be calculated using the following formula:

μ = population mean = mean of the population = 500

σ = population standard deviation = 100

n = sample size = 30

The central limit theorem (CLT) can be applied to this situation as the sample size is more than 30 (n>30).

Thus, the sampling distribution of the sample mean can be approximated to a normal distribution with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.i.e., σ xbar = σ/√n = 100/√30 ≈ 18.26

(b) For a random sample of 60 test takers, the sampling distribution of the sample mean (x bar) for scores on the Mathematics part of the test can be calculated using the following formula:

μ = population mean = mean of the population = 500

σ = population standard deviation = 100

n = sample size = 60

The central limit theorem (CLT) can be applied to this situation as the sample size is more than 30 (n>30).

Thus, the sampling distribution of the sample mean can be approximated to a normal distribution with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.i.e., σ x bar = σ/√n = 100/√60 ≈ 12.91

(c) For a random sample of 90 test takers, the sampling distribution of the sample mean (x bar) for scores on the Writing part of the test can be calculated using the following formula:

μ = population mean = mean of the population = 500

σ = population standard deviation = 100

n = sample size = 90

The central limit theorem (CLT) can be applied to this situation as the sample size is more than 30 (n>30).Thus, the sampling distribution of the sample mean can be approximated to a normal distribution with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.i.e., σ xbar = σ/√n = 100/√90 ≈ 10.54

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Answer:

1: scatter plot, 2:histogram, 3: line plot

Step-by-step explanation:

I'm pretty sure, I know #2 is correct, the others are an educated guess.

Scatter plot , circle graph and  circle graph are the type of graphs which represent the data.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

(1)

A scatter plot would be the best type of graph to display the relationship between the number of hours a student spent studying for several tests and the student's grade on each test.

The scatter plot would allow us to see if there is a correlation between the number of hours studied and the test grade.

(2)

A circle graph (also known as a pie chart) would be a better display of the percent of each kind of muffin ordered at a bakery in a month.

A circle graph is a good choice when we want to show how parts make up a whole, and it allows us to easily compare the percentage of each type of muffin.

(3)

A circle graph (pie chart) would be the best type of graph to display the percent of students in a math class making an A, B, C, D, or F in the class.

A circle graph is a good choice when we want to show how parts make up a whole, and it allows us to easily compare the percentage of students in each grade category.

Hence,  scatter plot ,  circle graph and  circle graph are the type of graphs which represent the data.

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There is no definitive answer to the proportion of early-twenty-first-century men who finished school, left home, become financially independent, married, and had a child by age 30.

In terms of finishing school, in 2016, the U.S. Census Bureau estimated that 88.6% of males aged 25 and older were high school graduates, while 33.4% had attained a bachelor's degree or higher. As for financial independence, a 2019 report by the St. Louis Federal Reserve Bank found that the percentage of 25-year-olds who earned more than their parents did at the same age has declined since 1970.

In terms of marriage, a 2017 report by the Pew Research Center found that the median age for men getting married for the first time was 29, up from 23 in 1960. Finally, regarding fatherhood, a 2018 report by the National Center for Health Statistics found that the mean age of first-time fathers in the United States was 31.1. However, it is important to note that these statistics and studies do not provide a complete picture of the proportion of men who have accomplished all these factors by age 30.

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Answer:

527.52 m²

Step-by-step explanation:

The surface area (A) of the cone is calculated as

A = area of base + curved area

   = πr² + πrl ( r is the radius and l the slant height )

   = 3.14 × 7² + 3.14 × 7 × 17

   = 3.14 × 49 + 3.14 × 119

    = 3.14(49 + 119)

     = 3.14 × 168

      = 527.52 m²

The equations that are equivalent include:

2 + x = 5

x + 1 = 4

-5 + x = -2

It is important to note that an equation is used to illustrate the relationship between the variables that are given.

In this case, the given equation is illustrated as:

2 + x = 5

Collect like terms

x = 5 - 2

x = 3

x + 1 = 4

Collect like terms

x = 4 - 1

x = 3

-5 + x = -2

Collect like terms

x = -2 + 5

x = 3

Therefore, the three equations illustrated are equal.

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Therefore, we need to add approximately 0.0526 gallons of water (which is equivalent to about 6.63 fluid ounces) to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of one or more variables, coefficients, and constants, and it can include mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign, indicating that they have the same value. The goal of solving an equation is to determine the value of the variables that make the equation true. Equations are used in many areas of mathematics and science to model real-world phenomena and solve problems.

Here,

Let's assume that we need to add x gallons of water to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze. We know that the final solution will contain 1 gallon of antifreeze, and that this will be 95% of the total solution (the remaining 5% will be water). So, we can write:

1 gallon of antifreeze = 95% of (1 gallon of antifreeze + x gallons of water)

We can simplify this equation by converting 95% to a decimal:

0.95 × (1 gallon of antifreeze + x gallons of water) = 1 gallon of antifreeze

Now we can solve for x by isolating it on one side of the equation. First, let's distribute the 0.95:

0.95 gallons of antifreeze + 0.95x gallons of water = 1 gallon of antifreeze

Next, let's isolate x by subtracting 0.95 gallons of antifreeze from both sides:

0.95x gallons of water = 0.05 gallons of antifreeze

Finally, we can solve for x by dividing both sides by 0.95:

x = 0.05 gallons of antifreeze ÷ 0.95

x ≈ 0.0526 gallons of water

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Answer:

strong positive

Step-by-step explanation:

both variables are moving in the same direction and is nearly a line

As x increases, y increases.  This has a strong positive correlation

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Each οf Jamie's three sisters will have tο cοntribute $16.35 tοwards their mοther's birthday present.

The sum οf the fixed and variable cοsts is the tοtal cοst.

Tο split the cοst οf their mοther's birthday gift evenly amοng Jamie and his three sisters, we need tο divide the tοtal cοst by the number οf peοple sharing the cοst.

Since there are fοur peοple sharing the cοst (Jamie and his three sisters), we can divide the tοtal cοst by 4 tο get the amοunt each persοn will pay:

65.40 ÷ 4 = 16.35

Sο, Jamie and his three sisters will each need tο pay $16.35 tοwards their mοther's birthday gift.

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The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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The advantages of writing in standard form include :

Standard form, also known as scientific notation, is a way of writing very large or very small numbers in a compact way. It is used in many fields, including science, engineering, and mathematics.

Therefore, standard form offers a more compact way of writing out the full number, and it is also easier to compare this number to other numbers in standard form.

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Robert's average time is 60.79 seconds.

To determine Robert's average time, we add up his three qualifying times: 61.04 seconds, 60.54 seconds, and 60.79 seconds. Adding these times together, we get a total of 182.37 seconds.

61.04 + 60.54 + 60.79 = 182.37 seconds.

To find the average time, we divide the total time by the number of scores, which in this case is 3. Dividing 182.37 seconds by 3 gives us an average of 60.79 seconds.

182.37 / 3 = 60.79 seconds.

Therefore, Robert's average time is 60.79 seconds, which meets the qualifying requirement of 60.74 seconds or less to compete in the 400-meter finals.

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Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

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Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

Answer:

5

Step-by-step explanation:

180-108=72 interior + exterior angle add to 180

360/72=5

Answer:

Number of polygon sides = 360 / (180 - ONE INTERIOR ANGLE)

Number of polygon sides = 360 / (180 -108)

Number of polygon sides = 360 / 72

Number of polygon sides = 5

Source: http://www.1728.org/polygon.htm

Step-by-step explanation:

Answer: 20ab

Step-by-step explanation:

First, use FOIL to expand each term.

term 1:

\(25a^{2} + 5ab + 5ab + b^2\)

term 2:

\(25a^2-5ab-5ab+b^2\)

Then, simply subtract term 2 from term 1.

\(20ab\)

Hope it helps :) and let me know if you want me to elaborate.

7.68 pounds of honey remains after the bears ate 0.32 pounds.

What is a initial amount mean?

When referring to any Capital Appreciation Bond, Original Amount refers to the Bond's Accrued Value as of the date of issuance.

To find how much honey remains, we need to subtract the amount eaten by the bears from the initial amount produced:

Remaining honey = Initial honey - Honey eaten by bears

Remaining honey = 8 pounds - 0.32 pounds

Remaining honey = 7.68 pounds

Therefore, 7.68 pounds of honey remains after the bears ate 0.32 pounds.

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