The ratio of athletes to non-athletes at bayside high school is 2 to 6. If there are 1200 non-athletes at school, how many athletes are at bayside

Answer:

Step-by-step explanation:

If you multiply the ratio you should get 304 cars.

The matching of the quadratic functions with their features is given by the image at the end of the answer.

The first feature of the function on the problem is when it is increasing, and the definition is that it is increasing when the graph of the function is moving to the right and up on the graph, that is, when x increases, y also increases.

It is decreasing when it is moving right and down. Hence, a quadratic function increases until it's vertex, so for item 1, we want a function that is concave down, as it is increasing and then decreasing, and does the turn at x = 1, which is the third function on the second row.

The maximum and minimum points are given at the turning points, as follows:

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Answer: Its correct

Step-by-step explanation:

Right on Edmentum. Absolute legend

Bar charts, pie charts, and stacked bar charts are commonly used for representing quantitative data.

When it comes to visually representing quantitative data, several types of charts are commonly used. One such chart is the bar chart, which uses rectangular bars of varying lengths to depict numerical values. Bar charts are effective in comparing different categories or groups and showcasing trends over time. Another popular chart is the pie chart, which divides a circle into slices to represent different proportions or percentages of a whole. Pie charts are useful for illustrating the composition or distribution of a data set. Additionally, stacked bar charts are frequently employed to display multiple variables or categories within a single bar, where each segment represents a different subset. This type of chart allows for easy comparison of subcategories while maintaining an overall total. These three chart types - bar charts, pie charts, and stacked bar charts - offer versatile options for visualizing quantitative data, enabling effective communication and analysis.

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The complete question is

which are the different types of chart that are most frequently considered for depicting quantitative data ?

The solution is, A and C are not independent.

B and C are not independent either.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

By the multiplication rule, the sampling space has possible outcomes.  

Let's compute P(A), P(B), P(C), P(A∩C), P(B∩C), P(A|C) and P(B|C).

As there are only two outcomes that does not have at least on tail in the first three tosses (H,H,H,H) and (H,H,H,T) then  

P(A) = 14/16 = 7/8

Similarly, as there are only two outcomes that does not have at least on head in the last three tosses (H,T,T,T) and (T,T,T,T) then  

P(A) = 14/16 = 7/8

A∩C and B∩C have 4 possible outcomes (T,H,T,T), (T,H,T,H), (H,H,T,T) and (H,H,T,H), so  

P(A∩C) = P(B∩C) = 4/16 = ¼

P(A) given C and P(B) given C have the following probabilities:  

P(A|C) = P(A∩C)/P(C) = 1

P(B|C) = P(B∩C)/P(C) = 1

Since P(A|C)≠P(A), A and C are not independent

Since P(B|C)≠P(B), B and C are not independent

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A centigram is 100 times larger than a milligram. So, the option b) 100 times is correct for this question.

1 centigram = 100 milligrams. A centigram is a unit of mass in the metric system, equivalent to one hundredth of a gram. A milligram, on the other hand, is a unit of mass in the metric system, equivalent to one thousandth of a gram. Therefore, a centigram is 100 times larger than a milligram. The conversion between the two units can be easily calculated as 1 centigram is equal to 100 milligrams. The use of centigrams is limited in common applications, with milligrams being the preferred unit for expressing very small masses, while grams and kilograms are used for larger masses.

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The ratio of flour and raisin in cookie recipe is,

Determine the cups of raisins required for 3 cups of floor.

Thus, cups of raisins required is 1 1/4.

Answer:

Mk lol

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

The call premium is $4.6051 (Option C).

Given the following information in a two-period Binomial model:

r- 5%, 5-$20, S, - $25. S-$16, Suu- $31.25, Sud-$20-Sdu Sad $12.80 and strike price X - 18, the call premium is $4.6051.

Option pricing formula is used to calculate the call premium.

That formula is, \(C=(p×Cu+(1−p)×Cd)/(1+r)\)

Where, C is the call premium,

Cu is the value of the option if the price of the underlying asset goes up,

Cd is the value of the option if the price of the underlying asset goes down,

r is the risk-free interest rate,

p is the probability of the underlying asset price going up

For the given data:

Suu= $31.25,

Sud= $20,

Sdu= $20,

Sdd= $12.80,

r= 5%, and

X= $18.

We can find p using the following formula.

\(p=(1+r−d)/(u−d)\)

= (1+0.05-0.128)/(0.3125-0.128)= 0.3725

Now, let's calculate Cu and Cd.

Cu = max(Suu - X, 0) = max($31.25 - $18, 0) = $13.25

Cd = max(Sdd - X, 0) = max($12.80 - $18, 0) = $0

Now, let's calculate the call premium using the formula.

\(C=(p×Cu+(1−p)×Cd)/(1+r)\)

=(0.3725×$13.25+(1-0.3725)×$0)/(1+0.05)= $4.6051

Therefore, the call premium is $4.6051 (Option C).

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Answer:

See the answer below.

Step-by-step explanation:

These two circles are similar objects.

The ratio of a corresponding part is a: b.

The area ratio is a²: b²  and the volume ratio is a³ : b³

Therefore  if AE : CD which is 2:3

The area ratio  4 :9

The volume ratio is 8: 27

The relation between both circles is the area of circles in ratio to the radius and both circles are similar circles.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given two circle

Circle 1 = radius 2

Circle 2 = radius 3

All circles are similar objects so their area ratio is radius ratio.

(Area of circle 1)/(Area of circle 2) = (radius 1)/(radius 2)

(Area of circle 1)/(Area of circle 2) = 4/9 = 2/3

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Answer: c=-0.01

Step-by-step explanation:

Answer:

\(529\pi\) cm²

Step-by-step explanation:

\(d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi\)

Answer:

\((a)\ x = 0.4\ or\ (d)\ x = -2.7\)

Step-by-step explanation:

Given

\(f(x) = -x^2 - 2x +6\)

\(g(x) = 2x^2 + 5x + 3\)

Required

Find x if \(f(x) = g(x)\)

The above implies that:

\(-x^2 -2x +6 = 2x^2 + 5x +3\)

Collect like terms

\(2x^2 + x^2 + 5x + 2x + 3 - 6 = 0\)

\(3x^2 + 7x - 3 = 0\)

Using quadratic formula, we have;

\(x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

Where

\(a=3; b=7; c=-3\)

\(x = \frac{-7 \± \sqrt{7^2 - 4*3*-3}}{2*3}\)

\(x = \frac{-7 \± \sqrt{49+ 36}}{6}\)

\(x = \frac{-7 \± \sqrt{85}}{6}\)

\(x = \frac{-7 \± 9.22}{6}\)

Split

\(x = \frac{-7 + 9.22}{6}\ or\ x = \frac{-7 - 9.22}{6}\)

\(x = \frac{2.22}{6}\ or\ x = \frac{-16.22}{6}\)

\(x = 0.4\ or\ x = -2.7\) --- approximated

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Step-by-step explanation:

20 - x = -5

-x = -25

x = 25

the temperature fell by 25°F.

Answer:

-40x+50

Step-by-step explanation:

-10(4x-5)

-40x+50

Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

A possible set of scores for the students is: 4, 4, 6, 6, 6

We are given that five students took the quiz. If the lowest score is 4 and the highest score is 6, we can say that the set of values ​​can be expressed as:

4, x, y, z, 6

Here we can see that the mode is 6 and the mean is 5.2. Therefore, at least one other student of hers has scored her 6, which could result in:

4, x, y, 6, 6

Therefore:

(4 + x + y + 6 + 6)/5 = 5.2

16+x+y=26

x + y = 10

So the other two numbers are probably 6 and 4, because 6 is the mode, so they can't both be 5.

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The value of x is approximately equal to 13.7.

In the diagram given below, we can see that there are two angles i.e. 34 degrees and 27 degrees, and their opposite sides are a and b respectively.

And, the side that is opposite to the angle for which we want to find the value is 'x'.

Now, we need to use the Law of Sines to find the value of 'x'.

Law of Sines:

a/sin A = b/sin B

= c/sin C

Where, a, b, and c are the sides of a triangle and A, B, and C are the angles opposite to the respective sides.

In the above diagram, we have to find the value of x which is opposite to the angle 27 degrees.

Let's assume the side opposite to the angle 34 degrees to be 'a' and the side opposite to the angle 27 degrees to be 'b'.

Then, from the given diagram, we can say that;

a/sin A = b/sin B

a/sin 34° = x/sin 27°

a = x(sin 34°/sin 27°)

Now, we need to find the value of 'a' using the given side of the triangle which is 11 cm. So, we can write;

a/sin A = b/sin B

11/sin 27° = x/sin 34°

x = 11(sin 34°/sin 27°)

x = 13.7 (approx)

Therefore, the value of x is approximately equal to 13.7.

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Answer: Option C

Step-by-step explanation: When we count all bases of the squares present

in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.

Answer:

36

Step-by-step explanation:

Unit price: 9 / 5 = 1.8

20 box price: 1.8 * 20 = 36

Answer:

0.28 pounds

Step-by-step explanation:

Here, we want to get the weight of the calculator expressed as a decimal

Mathematically, what we have to do is to divide 7 by 25

The answer is 0.28 pounds

Answer:

c = 55

Step-by-step explanation:

I would solve this by cross multiplying, but some teachers don't appreciate you skipping a step like that. Instead:

\(\frac{5}{2} =\frac{c}{22}\)

First, multiply both sides by 2:

\(5=\frac{2c}{22}\)

Then, multiply both sides by 22:

\(2c=110\)

Now, just solve for c by dividing both sides by 2:

\(c=55\)

Answer:

C = 55

Step-by-step explanation:

To figure out c you must first isolate c so there shouldn't be any other numbers or signs (addition, subtraction, division, and multiplication) on the same side of the equal sign as variable C.

The inverse of dividing 22 is multiplying 22 on both sides of the equation.

You would get 22/1 * 5/2 = C. 22 * 5 is 110 and 1 * 2 is still 2 so 110/2 = C.

Enter 110/2 into the calculator and you would get C = 55

a) x-component = -5.2 m * cos(145 degrees) b) y-component = -5.2 m * sin(145 degrees) c) the magnitude of the vector is 5.198

(a) To find the x-component of the vector -5.2 m, we can use trigonometry. The x-component can be calculated as the product of the magnitude (-5.2 m) and the cosine of the angle (145 degrees).

x-component = -5.2 m * cos(145 degrees)

(b) To find the y-component of the vector -5.2 m, we use the same trigonometric approach. The y-component is calculated as the product of the magnitude (-5.2 m) and the sine of the angle (145 degrees).

y-component = -5.2 m * sin(145 degrees)

(c) The magnitude of a vector can be determined using the Pythagorean theorem. The magnitude is the square root of the sum of the squares of its components.

magnitude = \(\sqrt{(x-component)^2 + (y-component)^2)}\) = \(\sqrt{27.028} = 5.198\)

By substituting the values of the x and y components obtained in parts (a) and (b) into the formula, we can calculate the magnitude of the vector -5.2 m.

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Answer:

Step-by-step explanation:

The area of sector GPH in square yards is equal to 157 yd².

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = θπr²/360

Where:

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θπr²/360

Area of sector = 80(3.14/360) × (15)²

Area of sector = 0.6978 × 225

Area of sector = 157 yd²

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Answer:

Hello!!

The x and y intercepts on the following graph is...

(a) x-intercept \(1\)

(b) y-intercept \(-4\)

Hope this helps!!