The table shows the heights of 40 students in a class.

a) Calculate an estimate for the mean height of the students
b) Explain why your answer to part (a) is an estimate

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

y = -x + 1

Step-by-step explanation:

Any point on an angle bisector has equal distance to both sides

Bisector line slope = rise/run = -1    (rise=run and moves from left to right)

equation: y = mx + b

y = -x+b

pass (2.-1)

-1 = -2 + b     B = 1

y = -x+1  

check: (y- -1)/(x-2) = -1

y+1 = -x+2

y = -x + 1

Answer:

four hundred fifty-six thousand seven hundred two

Step-by-step explanation:

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

\(\int\limits^3_1 {x} \, dx\)

And the integral of x is equal to x^2/2

Then:

\(\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4\)

The area between the curves is 4 square units.

Answer:

18.939394miles

this is the correct answer happy

Answer:

true

Step-by-step explanation:

Answer:

The number should be -22

Step-by-step explanation:

4/5(2x + 9) = -28

2x + 9 = - 35

2x = - 44

X = -22

The average daily float for the BBC Corporation, based on receiving 30 checks totaling $250,000 with an average delay of five days, is $41,667.

To calculate the average daily float, we need to determine the total amount of funds in transit and divide it by the average number of days the funds are delayed.

In this case, the BBC Corporation receives 30 checks totaling $250,000 in a typical month. The average delay for these checks is five days.

To calculate the total amount of funds in transit, we multiply the average daily amount by the average delay:

Total funds in transit = Average daily amount × Average delay

= ($250,000 / 30 days) × 5 days

= $8,333.33 × 5

= $41,666.67

Rounding to the nearest whole number, the average daily float is $41,667.

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Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

Answer:

  8 11/20 ft³

Step-by-step explanation:

For dilated figures, the ratio of volumes is the cube of the ratio of corresponding linear dimensions.

  Vn/Vm = (Hn/Hm)³

  Vn = Vm(Hn/Hm)³ = (68 2/5 ft³)((2 3/8 ft)/(4 3/4 ft))³

  Vn = (342/5 ft³)((19/8)/(19/4))³ = (342/5 ft³)(1/2)³ = 342/40 ft³

  Vn = 8 11/20 ft³

The volume of Prism N is 8 11/20 ft³.

Answer:

The answer is 8 11/20.

Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

\(\frac{2292}{3} =\frac{x}{12}\)  

cross multiply divide.

x=9168

The required probability of rolling a 2 exactly 4 times in 7 rolls of a six-sided die is \(\frac{161}{5000}\) in fraction form or approximately 0.03226 as a decimal.

A number that indicates how likely an event is to occur is called its probability. It is expressed as a number between 0 and 1 or as a percentage using percentage notation between 0% and 100%. The higher the probability, the more likely the event is to occur.

\($\begin{aligned} P(X = 4) &= \binom{7}{4} \left(\frac{1}{6}\right)^4 \left(\frac{5}{6}\right)^3 \\&= \frac{7!}{4!3!} \cdot \frac{1}{6^4} \cdot \frac{5^3}{6^3} \\&= \frac{35 \cdot 125}{6^7} \\&= \frac{4375}{135216} \\&\approx 0.03226\end{aligned}\)

Therefore, the probability of rolling a 2 exactly 4 times in 7 rolls of a six-sided die is \(\frac{161}{5000}\) in fraction form or approximately 0.03226 as a decimal.

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Answer:

domain (-4,8,9,1)

range. (4,-1,-9,2,8)

Step-by-step explanation:

The median of the given dataset is 28.

The median is the value that is exactly in the middle of a dataset when it is ordered or arranged. The median is a measure of central tendency that separates the highest 50% from the lowest 50% of values.

The steps for finding the median differ depending on whether there are an odd or an even number of data points. The steps to be followed for finding the median are:

In the context of a given dataset, there is an odd number of data values, so the exact middle value is chosen as the median and it is 28.

"

Complete question:

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest. Identify the median. (Enter an exact number as an integer, fraction, or decimal. )

Data:16; 17; 19; 20; 20; 21; 24; 25; 26; 26; 26; 27; 27; 28; 28; 28; 29; 30; 31; 32; 33; 33; 34; 35; 37; 39; 40

"

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Answer:

56mm²

Step-by-step explanation:

i will appreciate if u give brainliests, thanks

Answer: 6.3 hours

Step-by-step explanation:

I have attached an image of how I solved it!

The difference of the fractions 8/2 and 3/5 is given as follows:

17/5.

The difference operation for this problem is defined as follows:

8/2 - 3/5.

8 is divisible by 2, with a quotient of 4, hence the subtraction can be simplified as follows:

4 - 3/5.

With a common denominator of 5, we have that 4 x 5 = 20, hence:

20/5 - 3/5.

As the fractions now have a common denominator, we can subtract the numerators while keeping the denominator constant, thus the subtraction is given as follows:

(20 - 3)/5 = 17/5.

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Answer:

To solve this problem, we can use a system of equations. Let x be the number of shoes sold at $66.95 and y be the number of shoes sold at $84.95. We know that:

x + y = 240 (because 240 pairs of shoes were sold in total)

66.95x + 84.95y = 17,652 (because this is the total amount of money earned from shoe sales)

To find the number of each type of shoe sold, we can use substitution method, by solving one equation for one variable and substituting that expression into the other equation.

We can solve the first equation for y:

y = 240 - x

Then we can substitute this expression into the second equation and solve for x:

66.95x + 84.95(240 - x) = 17,652

66.95x + 21,068 - 84.95x = 17,652

-18x = -3,416

x = 176

So, 176 pairs of shoes were sold at $66.95. To find the number of shoes sold at $84.95, we can substitute this value of x into the first equation:

y = 240 - 176 = 64

So, 64 pairs of shoes were sold at $84.95.

In conclusion, we can recover the information and the manager can know that 176 pairs of shoes were sold at $66.95 and 64 pairs of shoes were sold at $84.95.

The total number of women who attended the party is 72.

Expression:

An act, process, or instance of representing in a medium (such as words): utterance. freedom of expression. b(1): something that manifests, embodies, or symbolizes something else. this gift is an expression of my admiration for you.

Here we have to find the number of women who attended the party.

Here it is given that 12 men attended the party.

Each woman danced with exactly two men and each man danced with exactly three women.

So we have to find the number of women.

Number of women = 12 × 3×× 2

= 72

Therefore the number of women is 72.

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Answer:

When two lines intersect, the angles across from each other are known as vertical angles.

The measure of length C using the law of cosines is 11.79 units

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

The triangle

The measure of length c is calculated using

c² = a² + b² - 2ab * cos(C)

So, we have

c² = 10² + 3² - 2 * 10 * 3 * cos(120)

Evaluate

c² = 139

Take the square root of both sides

This gives

c = 11.79

Hence, the value of c is 11.79

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Answer:

v = 11.41 yards/second

Step-by-step explanation:

Given that,

In August 2009, Usain Bolt run 100 m in 9.58 seconds.

1 yard = 0.9144 m

It means,

100 m = 109.361 yards

We need to find Usain Bolt's average speed in yards per second.

Average speed = total distance/time taken

\(v=\dfrac{109.361\ \text{Yards}}{9.58\ \text{seconds}}\\\\=11.41\ \text{Yards/second}\)

So, her average speed is 11.41 yards/second.

Answer:

14

Step-by-step explanation:

2×5+2(0+2)

Multiply 2 and 5 to get 10.

10+2(0+2)

Add 0 and 2 to get 2.

10+2×2

Multiply 2 and 2 to get 4.

10+4

Add 10 and 4 to get 14.

14

Angles B and C each measure 60°, and angles A and D each measure 60°.

When two lines intersect, they form four angles around the intersection point. In this case, we know that angle A measures 120°. To find the measures of the other angles, we use the fact that the sum of the angles around a point is equal to 360°.

Since angle A is 120°, the sum of angles B, C, and D must be:

B + C + D = 360° - A

B + C + D = 360° - 120°

B + C + D = 240°

We also know that when two lines intersect, the angles opposite each other are equal. Therefore, angles B and C have the same measure and angles A and D have the same measure. Let's assume that angles B and C each measure x, and angles D and A each measure y. Then we have:

2x + 2y = 240°

x + y = 120°

Solving this system of equations, we get:

x = y = 60°

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Answer:

good night :))))))))))))

Answer:

umm this question is from a wile ago hehe but anyways i got points hehehe

Step-by-step explanation:

Thus he can cut it into six pieces

Answer:

Step-by-step explanation:

slope of required line=5

point is (-1,0)

reqd. eq. of line is

y-0=5(x-(-1))

y=5(x+1)

y=5x+5

Answer:

so 4(5+4) would be an answer

Step-by-step explanation

What you should do is find a number that can be divided into both numbers. so 4 as an example, so that number that you use as the divisor goes on the outide of the paranthesis. The inside becomes the quotient of the divisors and the symbol remains the same.

The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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