The editor of a school magazine polled randomly selected students in the 8th, 9th, and 10th grades. They were asked which activity they enjoyed the most: watching sports, reading, or listening to music. The two-way frequency table shows the data she collected.

(see attachment for table)

Based on the data in the table, what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?

A. 0.39
B. 0.37
C. 0.35
D. 0.33

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

For more explanation, refer the following link:

https://brainly.com/question/17978382

#SPJ10

Answer:

[tex]\huge\boxed{SA=1960cm^2}[/tex]

Step-by-step explanation:

We have:

The formula of an area of

[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]

a, b - legs

[tex]A_{\square}=a\cdot b[/tex]

Calculate:

Rectangular triangle

[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]

Rectangles:

[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]

Total surface:

[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]

The drag phase you have given the interference would be a positive x-axis.

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis.

The first block then should be the negative x-axis if r is positive and on the positive x-axis if r is negative.

It is a phenomenon in which two or more waves superimpose to form a resultant wave of greater or lower amplitude.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence.

Which would mean interference from the above statements, from the drag phase you have given the interference would be a positive x-axis.

To learn more about the interference form visit:

https://brainly.com/question/4449144

#SPJ1

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

Learn more about number line on https://brainly.com/question/24644930

#SPJ1

Answer:

ab(7a+b-2)

Step-by-step explanation:

see the common and take out the common parr

Answer:

its all about the formula =

(a+b)2 =a2 +2ab=b2

Step-by-step explanation:

Answer:

6 m

Step-by-step explanation:

[tex]sin22 = x/16\\x = 16sin22\\x = 6[/tex]

The length, width and height of the rectangular prism is ∛10

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer: X = 1

Step-by-step explanation:

25/50 = 4x/8

First, multiply both sides by 8, therefore, the 8 on the right side will be canceled out.

25*8/50 = 4x*8/8

25*8/50 = 4x

25*8 = 200

200 divided by 50 = 4

4 = 4x

After that, you just need to divide 4 on both sides, therefore, the 4 on the right side will cancel out.

4/4 = 4x/4

1 = x

X = 1

Hope I helped! :]

Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

From the question, we have the following highlights:

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

Read more about regression models at:

https://brainly.com/question/25987747

#SPJ1

Answer:

111

Step-by-step explanation:

555÷5=111
and just to check, 5×111=555

Answer:

555 divided by 5 = 111

Step-by-step explanation:

This is common knowledge. The 5 in the hundreds place is divisible by 5 to get a quotient of 1. The 5 in the tens place is also divisible by 5 to get a quotient of 1 and the same is equally true for the 5 in the ones place.

Hence, the quotient of 555/5 = 111

Hope this helps! :D

Answer:

n = 53

Step-by-step explanation:

the sum to n terms of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and a₅ = 9 , then

3 + 4d = 9 ( subtract 3 from both sides )

4d = 6 ( divide both sides by 4 )

d = 1.5

then solving for n

3 + 1.5(n - 1) = 81 ( subtract 3 from both sides )

1.5(n - 1) = 78 ( divide both sides by 1.5 )

n - 1 = 52 ( add 1 to both sides )

n = 53

there are 53 terms in the progression

Answer:

53 terms

Step-by-step explanation:

Finding common difference :

Solving :

[tex](x)(x^{2} +9x+8)[/tex]

GCF is a way to simplify a polynomial by separating out one factor.

GCF

GCF stands for greatest common factor. This means the GCF is the largest number that is a factor of each term.

For example, the GCF of 15 and 25 is 5 because that is the greatest common factor between the 2 numbers.

Finding the GCF

To find the GCF, first look at the coefficients of each term.

These numbers have no shared factors besides 1, which doesn't help because factoring out 1 does nothing.

However, next, we can move on to the variables. You can factor out variables the same way you do constants.

Factoring Out X

The question states that we only need to do GCF to solve. So, we can just factor out x. Remember that factoring is like dividing each term by x.

The completely factored expression is:

Here we have divided each term by x and then added x as a new factor in the expression.

Answer:

X(x+1)(x+8)

Step-by-step explanation:

U just have to find the comment number

Step-by-step explanation:

F1/A1 = F2/A2

10/2=F2/4

5=F2/4

F2=5x4

F2=20

Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

Answer:

Answer is C.) 35

Step-by-step explanation:

Answer:

[tex]a= 10,\:\: b=6[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pretty sure that is the answer.

Answer:

cos L = [tex]\frac{23}{25}[/tex]

Step-by-step explanation:

cos L  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

Read more at below link:

https://brainly.com/question/16878090

#SPJ10

Answer:

Maybe the answer will be C. P (A and B )

Ans: C

Explanation:

I think it is option c , P(A and B)

as this is the only option which has the value of 80, which we got from the table

The truth table is completed for each column as T T F F T T T

A truth table is a mathematical table which shows all the truth values of a given combination of logic statements.

Analysis:

The truth table is shown in the attached file

in the attached file, the first two columns were given,

The third column is the negation of p, and P is true(T) which means its negation is false(F).

The fourth column is the negation of Q, which means Q is true(T) so its negation is false(F).

In the fifth column, negation P is implies negation Q. The truth table for implication, is only false if Q is false, else it is True.

Same as in the sixth column.

The last column is bi-implication, the truth table for this only true, if both statements are false or both are true else, it is false.

Learn more about Logic truth tables: brainly.com/question/13266170

#SPJ1

The probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman is 0.0042.

P(woman) = 12/28

= 3/7

P(men) = 16/28

= 4/7

P(3 trouts) = P(3 trout | women)*P(woman) + P(3 trout | men)*P(man)

= P(3 trout | women)*(3/7) + (15C3 * (0.09^3)*(1-0.09)^(15*3))*(4/7)

= P(3 trout | women)*(3/7) + (0.00476)*(4/7)

P(woman | 3 trout) = P(3 trout | women)*P(woman) / P(3 trouts)

{P(3 trout | women) = p}

p*(3/7) / (p*(3/7) + (0.00476)*(4/7)) = 0.40

p*(3/7)/0.40 = (p*(3/7) + (0.00476)*(4/7))

p*((3/7)/0.40 - (3/7)) = (0.00476)*(4/7)

p = [(0.00476)*(4/7)] / [((3/7)/0.40 - (3/7))]

= 0.0042

Learn more about probability here https://brainly.com/question/24756209

#SPJ4

Answer:

3/4 is the slope

Step-by-step explanation:

Passengers under the age of 8 and whose height is less than 57 inches must be in the back seat of a vehicle.

When you journey in the backseat of a automobile, you take a seat within the row of seats behind the motive force. Kids once in a while combat over the front seat, not wanting to take a seat within the backseat. you may tour within the backseat of a car except you're the driver or are using a two-seat sports activities vehicle.

The cushion in which the driving force or passenger sits is either known as a horizontal cushion or seat cushion. The back of the automobile seat is called the seat again however it could additionally be called a backrest.

An infant protection seat every so often referred to as an toddler protection seat, infant restraint device, baby seat, child seat, car seat, or booster seat is a seat designed particularly to shield youngsters from injury or death throughout automobile collisions.

Learn more about the back seat of a vehicle here https://brainly.com/question/20358346

#SPJ4

Answer:

the answer is -1/8

Step-by-step explanation:

The direct distance form A to C is represented by the inequality

AC < 40 yards.

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Distance form point A to B is 15 yards

Distance form point B to C is 25 yards.

Distance AC = ?

In a Triangle the sum of two sides is always greater than the third side.

Therefore

AC < 15 +25

AC < 40 yards.

Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume [tex]f(x)=ab^x+c[/tex]

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

[tex]f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}[/tex]

[tex]f'(x) > 0[/tex]

So we can say that f(x) is an increasing function.

[tex]g(x) = - 18 (\frac{1}{3} )^ x + 2[/tex]

[tex]g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)[/tex]

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) [tex]g'(x) > f'(x)[/tex]

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

Step-by-step explanation:

(3+3+3*2)+(2*3-2-4*2)

The value of the addition of the two polynomials is 3x³ - x² + 1.

The addition of polynomials involves combining like terms of two or more polynomials to create a new polynomial. A polynomial is an expression consisting of variables, coefficients, and exponents, connected by addition and subtraction operations.

To add the given polynomials:

(3 + x³ + 3x²) + (2x³ - 2 - 4x²)

First, let's group the like terms:

(x³ + 2x³) + (3x² - 4x²) + (3 - 2)

Combine the coefficients of the like terms:

3x³ + 3x² - 4x² + 3 - 2

Simplify the expression:

3x³ - x² + 1

Therefore, the sum of the given polynomials is: 3x³ - x² + 1.

Learn more on addition of polynomial here;

https://brainly.com/question/10078818

#SPJ2