A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes

Answers

Answer 1

Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.

What do you mean by estimate?

In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.

mid-value of 500-600 = 550

average % = 30.5%

Athletes number = 30.5% of 550

=168

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Related Questions

a small toy car cost $3. a large toy car cost 5 times as much as the small one aron wants to buy one of each. which equation can he use to find the cost (a) of the two cars?

Answers

he is going to pay $3 for the small one

for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one

y = 130(0.45)x

What is the growth factor, decay factor, or slope?

What is the initial amount?

Blank 1:
Blank 2:

Answers

Answer:

initial amount is 130

decaying at 55%

Step-by-step explanation:

maggie has a rectangular box with a length of 6 1/2 of 9 inches and hieght of 3 1/2 inches
what is the volume of the box

Answers

V = & x w x h

V = 6 1/2 x 9 x 3 1/2

V = 204 3/4

So answer is 204 3

                             4

Como se dice 1.053.507 en letras?

Answers

un millon cincuenta y tres mil quinientos siete

one million, fifty three thousand and five hundred and seven

Radicals
How do I Simplify
(4√5-3)(√5-2)


Answers

Answer:

26 - 11√5

Step-by-step explanation:

(4√5-3)(√5-2)

= 4√5 (√5-2) -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2

= 26 - 11√5

If you can, please give me a Brainliest; thank you!

How do you write an x-intercept as a point?

Answers

The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.

The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.

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What are the 4 steps in solving simple problems in mathematics?

Answers

The 4 steps in solving simple problems in mathematics is explained below.

According to the author called Polya created his famous four-step process for problem solving that one is used all over to aid people in problem solving

The first and foremost Step is to understand the problem which includes identification of  the unknowns and figure out what the problem tells you is important and then we have to identify any information that is irrelevant to the problem.

Then the nest step is to Devise a plan which means that Look for a pattern and then by using it we have to make a table, diagram or chart and then write an equation.

Then we have to move onto the next steps that is to carry out the plan which means the process of solving the question.

Then the final step is to Look back problem that is none other than check and interpret its reliability of the solution

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Please Help! You Dont Have To do the Bottom Questions Just The Top!

Answers

Answer:
a. 0.5 + 0.3 = 0.8
b. 2.7 + 28.8 = 30.9
c. 3.1 + 2.4 + 9.9 = 15.4
d. 15.2 + 1.4 + 0.8 = 17.8
e. 39.2 + 2.5 + 0.8 = 42.3

Step-by-step explanation:
a. 0.54 rounded to the nearest 10th will be 0.5 because 4 doesn't round up numbers. 0.278 rounded to the nearest tenth will be 0.3 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 0.5 and 0.3, you get 0.7.

b. 2.65 rounded to the nearest 10th will be 2.7 because any number equal to or greater than 5 rounds up the number in front of itself. 28.17 rounded to the nearest 10th will be 28.2 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 2.7 and 28.2 you get 30.9.

c. 3.09 rounded to the nearest 10th will be 3.1 because any number equal to or greater than 5 rounds up the number in front of itself. 2.41 rounded to the nearest 10th will be 2.4 because 4 doesn't round up the number. 9.86 rounded to the nearest 10th will be 9.9 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 3.1 + 2.4 + 9.9, you get 15.4.

d. 15.234 rounded to the nearest 10th will be 15.2 because 3 doesn't round up the number. 1.37 rounded to the nearest 10th will be 1.4 because any number equal to or greater than 5 rounds up the number in front of itself.
0.76 rounded to the nearest 10th will be 0.8 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 15.2 + 1.8 + 0.8, you get 17.8.

e. 39.18 rounded to the nearest 10th will be 39.2 because any number equal to or greater than 5 rounds up the number in front of itself. 2.48 rounded to the nearest 10th will be 2.5 because any number equal to or greater than 5 rounds up the number in front of itself. 0.84 rounded to the nearest 10th will be 0.8 because 4 doesn't round up the number. 39.2 + 2.3 + 0.8 = 42.3

Assume that lines which appear tangent are tangent

Answers

Answer:

B

Step-by-step explanation:

Remark

This is a monster when you first come across it, but later on you will not be fooled.

Construction

Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEF

Solution

Find the value of Arc EF

The value of Arc EF = 360 - 244 = 116

The value of <FOE also = 116. (The arc and the central angle are equal.)

ΔFOE = 116 degrees                See above statement

ΔFOE is isosceles                   Two of it's sides are radii.

The two base angles can be solved. Call each one x

2x + 116 = 180                           All triangles have 180 degrees

     -116    -116                            Subtract 116 from both sides

2x = 64                                     Divide by 2

x = 32                                        <EFO = 32

<EFO = 90                               Where the tangent meets the radius forms a 90o angle.

<EFO + GFE = 90

32 + GFE =90

GFE = 90 - 32

GFE = 58

Answer: B

Answer:

b

Step-by-step explanation:

360-244/2= 116/2=58 or b

In the diagram below, AB and BC are tangent to 0. What is the measure of ADC?

A.252°
B.180°
C.216°
D.144°​

Answers

Answer:

Step-by-step explanation:

It’s A

The measure of the arc ADC is 252°

What is an arc?

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle O, with tangents AB and BC, the measure of arc AC is 108°, the measure of angle ABC is 72°, we need to find the measure of arc ADC,

According to the definition of circle,

We have,

m ∠ABC = (m arc ADC + m arc ADC) / 2

72° = (m arc ADC - 108°) / 2

144° = m arc ADC - 108°

m arc ADC = 144° + 108°

m arc ADC = 252°

Hence the measure of the arc ADC is 252°

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PLS HELP NEED ANSWERS QUICK WILL GIVE BRAINLIEST

Answers

Answer:

a- 10x^2 - 4x + 12

b- no, the first equation is −1/4⋅(5x^2+6x−24) and the second is -1/4⋅(10x^2+7x-24)

Step-by-step explanation:

m6th w6y

BRAINLIEST??

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

How do you find the sides of a triangle?

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]

[tex]$g=3 \frac{1}{2}$[/tex]

Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].

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Write two equations that can be solved using the double 7+7

Answers

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

What is Doubles plus ?

When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.

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Please hurry, this is past due.Don’t answer if you don’t know.

Answers

Answer:

31.4cm

Step-by-step explanation:

Formula for circumference of a circle:

[tex]C = 2\pi r[/tex]

The radius of a circle is half of the diameter:

10/2 = 5

Plug in the values using 3.14 for pi:

C = 2(3.14)(5)

C = 31.4cm

Answer:

D. 70.39

Step-by-step explanation:

This is not a good question, but I will show you how to get the answer I chose.

Area = (pi)(r)^2

394.38 = (3.14)(r)^2

divide both sides by 3.14

125.598726 = r^2

take the square root of both sides

r = 11.207083...

rounded is 11.21

---------------------------

Circumference = (2)(pi)(r)

C = (2)(3.14)(11.207083)

C = 70.38

----------------------------------------

Here's why it's a bad question:

If the diameter is 10, the radius is half of that, = 5

Area = (pi)(r)^2

Area = (3.14)(5)^2

A = (3.14)(25)

A = 78.5

So the question says the diameter is 10, but if that's true, the area cannot be 394.38

Also, the circumference can be calculated as (pi)(diameter), so 3.14 x 10 = 31.40, which is not an answer option.

The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *

Answers

On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio =  (7/14) ^2 = 1:4

what is radius?

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.

The spherical balloon's initial radius is 7 cm.

The final radius is 14 cm.

ratio =

(7/14) ^2 = 1:4

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Help plz! Show work also!! I need help ASAP!!

Answers

Step-by-step explanation:

13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)

or, 13x-3x=57+3

or,10x=60

x=60/10

x=6

FAB =13x-3

=13*6-3

=75

hellppppp gangyy nnn

Answers

The correct answer is option c as DE/AE=BC/AC

What is the slope of the line?

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line. So, tan θ to be the slope of a line.

Given here ΔADE ≈ΔABC and thus  DE/AE=BC/AC

but tanθ = DE/AE=BC/AC where tan θ is the slope of the line thus both the lines have identical slopes.

Hence, The correct answer is option c)  ΔADE ≈ΔABC thus DE/AE=BC/AC Therefore the slope of AD is the same as the slope of AB

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At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be

Answers

Probability measures how probable something is to occur.

What  the probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.

Probability is a measure of how likely something is to happen.

18 Marines, 10 Navy personnel, and 3 Coast Guard troops received their wings at a recent naval aviation school graduation.

Total: 18 + 10 + 3 = 31

a. 1 of each.  P = C 18 * C 10 * C 3  / C 3 31  

= (18 * 10 * 3) / 4495 = 0.120

b: 0 members of the navy = (C_{21} ^ 3)/(C_{21} ^ 3) = 1330/4495 = 0.296

c: 3 Marines.

p = (G ^ 3)/(C_{31} ^ 3) = (8 + 6)/4495 = 0.182

The complete question is

At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be

a.1 of each 0.120  b.  members of the Navy 0.296 c.  Marines 0.182.

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NEED HELP ASAPP 100 POINTSSS

Answers

Answer:

Statement 1) Corresponding angles

Statement 2) Congruent

Statement 3) 150 degrees

Statement 4) Vertical Angles

Statement 5) Congruent

Statement 6) 150 degrees

Statement 7) Alternate exterior angles

Statement 8) Congruent

Statement 9) Alternate Interior angles are congruent

Step-by-step explanation:

Explanation:

1) I've learned this before

2) Not all Corresponding angles are obtuse

3) Corresponding angles have the same measure

4) I've learned this before

5) Vertical Angles are congruent

6) Same reason as before

7) I've learned this before

8) Alternate Interior angles are congruent

9) I've learned this before

Please mark me the brainliest! Thank you!

I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5

Answers

Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:

y = kx/(sqrt(z)), where k is a constant.

We can find the value of k by substituting the known values into the equation. We get:

1/6 = k*20/sqrt(6)

k = 1/240

Substituting this value of k into the original equation, we get:

y = (1/240)x/(sqrt(z))

Substituting the values x = 14 and z = 5 into this equation, we get:

y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22

Step-by-step explanation:

Using a number line, find both the intersection and the union of the following
intervals:
[1, 5] and (0,8]

pls help !

Answers

Answer:

The union of the intervals is (0,8]

The intersection of the intervals is [1,5]

Hope this helped!

How do you find the unknown part of a right triangle?

Answers

To find the unknown part of a right triangle, you can use the Pythagorean theorem or the trigonometric ratios.

A right triangle is a triangle that has one angle measuring exactly 90 degrees, this angle is called the right angle.

To find the unknown part of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (the hypotenuse). The formula is:

a² + b² = c²

Where c is the length of the hypotenuse and a and b are the lengths of the legs.

You can use this theorem to find the length of a missing side, if you know the length of the other two sides. For example, if you know the lengths of the two legs (a and b) and you need to find the length of the hypotenuse (c), you can use the formula:

c = √(a² + b²)

Alternatively, if you know the length of the hypotenuse (c) and one leg (a), you can use the formula to find the length of the other leg (b):

b = √(c² - a²)

Another way to find the unknown part of a right triangle is the use of trigonometric ratios. As you know, in a right triangle, there are three main ratios: sine, cosine, and tangent. These ratios are defined as follows:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Where A is one of the acute angles of the triangle, and a,b,c are the sides of the triangle. By using the known side and the known angle you could find the unknown side.

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Simplify 16x+34(12x−4)

Answers

Answer:

424x - 136

Step-by-step explanation:

16x + 34 ( 12x - 4 )

= 16x + 408x - 136

= 424x - 136

Answer: 424x-136. Good luck:)

Can someone help me with this question ?

Answers

Answer:

B. exponential

Step-by-step explanation:

Answer:

b

Step-by-step explanation:


Write an equation that represents the line.
Use exact numbers.
slope

Answers

Answer:

y + 2 = (4/5)(x - 2)

Step-by-step explanation:

Two dots on the line are shown:  (-3, -6) and (2, -2).

As we move from the first to the second, x (the 'run') increases by 5 and y (the rise) increases by 4.  Thus, the slope of this line is m = rise / run = 4/5.

Using the point-slope formula y - k = m(x - h), we get:

y + 2 = (4/5)(x - 2)

What is the area of a square that has a side length of (4x+5)?

Answers

The answer to the question is 16x^2 + 40x + 25

Please answer with explanation

Answers

Answer:

m = 8

Step-by-step explanation:

Expand the left side

Each term in the second factor is multiplied by each term in the first factor

7a²(4a² - 1) + 2a(4a² - 1) - 3(4a² - 1) ← distribute parenthesis

= 28[tex]a^{4}[/tex] - 7a² + 8a³ - 2a - 12a² + 3 ← collect like terms

= 28[tex]a^{4}[/tex] + 8a³ - 19a² - 2a + 3

Comparing the coefficients of like terms with those on the right , then

m = 8

Find all the missing elements:
B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter

Answers

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines: [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084[/tex]

[tex]\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109[/tex]

Answer:

c=20 a=10.8 c=4.3

Step-by-step explanation:

Help on this which one is the answer???:((:))

Answers

Answer:

A

Step-by-step explanation:

Please please please help me I need it asap! Please!!

Point A, located at (-11, -7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C.
What are the coordinates of points B and C?

A: Point B: (-11, 7) Point C: (11, -7)

B: Point B: (11, -7) Point C: (11, 7)

C: Point B: (11, -7) Point C: (-11, 7)

D: Point B: (-11, 7) Point C: (11, 7)

Answers

Answer:

D) I’m 100% sure it’s correct!

Step-by-step explanation:

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