210 people are asked how many siblings they have?
# of Siblings Frequency Relative Frequency Cumulative Frequency
43
43
41
0
1
2
3
4
43
Submit Question
0.2048
0.2048
0.2048
0.1905
43
86
127
210
a. Complete the table (Use 4 decimal places when applicable)
b. What percent of the people have exactly one sibling?
Hint: Frequency Tables

Answer:

D.666 cubic centimeters

Step-by-step explanation:

Volume of cylinder is 3 time the volume of cone of the same radius.

Volume of cylinder= πr²h

Volume of cone = 1/3 x πr²h

Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

Answer:

Step-by-step explanation:

The tide over a 24-hour period can be modeled by a sinusoidal function of the form:

f(x) = A * sin(Bx) + C

where A is the amplitude, B is the frequency, and C is the vertical shift.

To determine the values of A, B, and C, we need three points. Let's use the following points:

(0, 5): This is the value of the tide at midnight, 5 ft.

(12, 9.5): This is the value of the tide at its high, 9.5 ft.

(6, 0.5): This is the value of the tide at its low, 0.5 ft.

Using the first point (0, 5), we can calculate the vertical shift, C:

C = 5

Using the second point (12, 9.5), we can calculate the amplitude, A:

A = (9.5 - 5) / 2 = 2.25

Using the third point (6, 0.5), we can calculate the frequency, B:

0.5 = 2.25 * sin(B * 6) + 5

4.5 = 2.25 * sin(B * 6)

2 = sin(B * 6)

B * 6 = sin^-1(2)

B * 6 = pi / 2

B = pi / (2 * 6) = pi / 12

So, the final equation is:

f(x) = 2.25 * sin(pi * x / 12) + 5

This represents one period of the sinusoidal function that models the tide over a 24-hour period, with time x measured in hours since midnight.

Answer: The final balance is $11,015.84.

The total compound interest is $3,845.84.

Step-by-step explanation:

you draw a circle ⭕ then you do lines inside the circle the you write the numbers aside

Answer:

Step-by-step explanation:

To find the height of the rocket, we can use the tangent function. We know the angle of elevation (75°), the height of Homer's eyes (1.8 meters), and the distance from Homer to the rocket (8 meters), so we can use the formula:

tan(angle) = height / distance

We'll solve for the height:

height = distance * tan(angle)

height = 8 * tan(75°)

However, we need to convert the angle from degrees to radians first, as the tangent function operates in radians. We can use the formula:

radians = degrees * (π / 180)

radians = 75° * (π / 180) = 1.309 radians

Now, we can substitute the value for the angle in radians back into the original equation:

height = 8 * tan(1.309)

Using a calculator, we can find that the height is approximately 15.57 meters.

So, the height of the rocket is approximately 15.57 meters.

Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

The angles are 60° , 90° , 90° , 120° .

From the given figure , it can be concluded that ,Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

Since , at each vertex they are one triangle , two squares and one hexagon therefore we can say that

The number of angles are 60° , 90° , 90° and 120°.

The tessellation is possible because the sum of measures of all angles that come together at the vertex is 360°

Learn more about regular polygons at:

https://brainly.com/question/1487036

#SPJ1

Nicholas will earn a commission of

Nicholas will earn a commission of 4% on the total price of the two cars sold to Mr. Sherman.

The total price of the two cars is $33,500 per car, so for two cars, the total price would be

= $33,500 * 2

= $67,000.

Therefore, Nicholas will earn a commission of 4% of $67,000

= $67,000 * 0.04

= $2,680.

hence, Nicholas will earn $2,680 in commission for selling the two cars to Mr. Sherman.

Learn more about commission at:

https://brainly.com/question/26283663

#SPJ1

On solving the provided question, we can say that the function is

and f(-2) = -13 and f(0) = 3

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

the function is

= 3 -  4(4)

= 3 - 16

=-13

= 3 - 4(0)

= 3 - 0

= 3

To know more about function visit:

brainly.com/question/28193995

#SPJ1

Answer: Scalene Right

Step-by-step explanation:

None of the side lengths are equal and there's a 90 degree angle

Answer:

Yes

Step-by-step explanation:

To find this out. If you divide the denominators by each other, they would need to be the same value as if you divide the numerators by each other

[tex]45 \div 9 = 5[/tex]

^ 45 and 9 were the denominators, we divide and get 5

Now for the numerators

[tex]10 \div 2 = 5[/tex]

^ 10 and 2 we're the numerators, dividing also gave 5

Answer:

yes.

Step-by-step explanation:

let us check. to be a proportion they must be equivalent

however, what do we multiply to get there? let us check..

[tex]\frac{2x}{9x} =\frac{10}{45}[/tex]

cross multiply...

2x * 45 = 9x * 10

90x = 90x

yes, they will be proportional!

you can even do it without the X, i just put x in to make it clearer.

Answer:

It would be C.

Step-by-step explanation:

It would be C.

JKP, the smaller triangle, needs to be turned into J'K'P' to show proof the the triangles are similar. So the first thing you would have to do, because J'K'P' is exactly 2 times bigger than JKP, is multiply the x and the y by 2. However, this shifts the triangle, and we need the triangles to overlap to prove they are also the same size. So comparing the x and y values after we increase the sides of JKP, we would see we need to subtract the x value by 3, and the y value by 2.

Answer:

x[tex]\geq[/tex] 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

The value for the Inequality 13x ≤ 200 is x ≤ 15.384.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

13 times a number x is less than or equal to 200.

Now, Writing the Inequality Mathematically

13x ≤ 200

x ≤ 200 / 13

x ≤ 15.384

Learn more about Inequality here:

https://brainly.com/question/2675848

#SPJ1

Answer:

Step-by-step explanation:

The two numbers are 42 and 49.

Let us suppose the numbers are x and y.

From the above question,

=> x + y = 91 ------(1)

Also,

=> x:y = 6:7

If we express y in terms of x,

Then, x/y = 6/7

It can also be written as,

=> y = 7x/6 ------(2)

On substitution of value from (2) into (1),

We get,

=> x + 7x/6 = 91

=> 13x/6 = 91

=> x = 6*7

=> x = 42

Now, Substituting the value of x in (1),

We get,

=> 42 + y = 91

=> y = 91 - 42

=> y = 49

Therefore, The values of the two numbers are 42 and 49.

To learn more about finding numbers,

https://brainly.com/question/26398661

A division problem that would lead to a division remainder of 400 is 2, 400 ÷ 500.

You need to find a division problem where the quotient would be such that there would be a remainder of 400.

In that case, the first thing to do is to ensure that the divisor is greater than 400. If it is less, then the remainder cannot be 400.

We can the pick the next hundred after 400 which would be 500. Then, we need to find a number that when divided by 500, would result in 400 as a remainder.

This can be 900, 1, 400, 1, 900, 2, 400 etcetera.

The trick is to ensure that the number is 400 more than a multiple of 500.

Picking 2, 400, the division is therefore:

= 2, 400 ÷ 500

Find out more on division at https://brainly.com/question/29194557

#SPJ1

Answer:

X    Y

0    0

2   -3

Step-by-step explanation:

The slope should look like this photo.

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

The solution is, the required cost of the used game X= 19.

An equation which can be expressed as a mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

So he bought the $120 game with $82

and 2 equally priced game.

This can be changed to an equation: 120= 82+2X.

The X represents the cost of the used game.

120= 82+2X

-82 -82

——————-

38= 2X

38= 2X

Divide by 2 on both sides

X= 19

To learn more on equation click:

brainly.com/question/24169758

#SPJ9

Luego de el 15% de iva, el precio será 9001.51

Si le aplicamos un incremento de un porcentaje x a un precio P, entonces el nuevo precio será:

P' = P*(1 + x)

Donde x es el porcentaje en forma decimal.

En este caso tenemos un 15% de IVA, entonces x = 0.15

Y el precio original es 7827.40

Entonces el nuevo precio será:

P' = 7827.40*(1 + 0.15) = 9001.51

Esa es la cantidad que Luis pago.

Aprende más sobre porcentajes:

https://brainly.com/question/843074

#SPJ1

The permutation formula is used when the order matters as it does not remove the combinations with the same elements and different order from the equation.

For the combination formula, the term x! is removed, as it removes all the combinations with the same elements but different order.

The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

More can be learned about combination and permutation at https://brainly.com/question/11732255

#SPJ1

An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.

This is referred to as a quadrilateral with four right angles.

Area of rectangle = Length × width

Width = Area/ Length

       =   32x¹²y⁹  /  8x⁴y³

        = 4x⁸y⁶

Read more about Rectangle here https://brainly.com/question/25292087

#SPJ1

The slope of the line passing through the points (8, -4) and (8, -7) is undefined.

The slope of the line passing through the points (-3, -9) and (-3, 9) is undefined.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-7 - (-4))/(8 - 8)

Slope, m = (-7 + 4)/0

Slope, m = -3/0

Slope, m = undefined.

Since the change in the x-axis equals to zero, the slope of the two lines are undefined:

Slope, m = (9 - (-9))/(-3 - (-3))

Slope, m = 18/0

Slope, m = undefined.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:3/a-6

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

If x = -2, what is y = ?

When x = -2 the line crosses the y axis at 2, so y = 2

The volume of the rectangular pyramid is 64 cubic feet.

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ1

The correct question is:

The fan should expect the red team to win 8 fewer games than the blue team in a season of 160 games

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

If the probability that the red team wins is 0.55, then the probability that they lose is 1-0.55 = 0.45.

Similarly, if the probability that the blue team wins is 0.60, then the probability that they lose is 1-0.60 = 0.40.

If we assume that the outcomes of each game are independent of each other and that there are no ties, then the expected number of games that the red team will win in a season of 160 games is:

Expected number of wins for the red team = (probability of winning) x (number of games)

= 0.55 x 160

= 88

Similarly, the expected number of wins for the blue team is:

Expected number of wins for the blue team = (probability of winning) x (number of games)

= 0.60 x 160

= 96

Therefore, the fan should expect the red team to win 8 fewer games than the blue team in a season of 160 games (96 - 88 = 8).

Learn more about probability here:

brainly.com/question/11234923

#SPJ9

The number of boxes of donuts he can buy is 3.

An expression contains two variables or numbers with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A box of dozen donuts costs = $6.50

Amount taken = $25

The number of boxes of donuts he can buy.

= 25 ÷ 6.50

= 3.85

Thus,

The number of boxes of donuts he can buy is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ9

Answer:

Step-by-step explanation:

Rational numbers are numbers that can be written in the form pq, where p and q are integers and q≠0. The difference between rational numbers and fractions lies in the fact that fractions cannot have negative numerator or denominator.

so, yes.