Define table represents grouped frequency distribution of the number of hours found computer per week for49 students. What is the value of the upper class limit of the fifth class

Remember that the formula for the volume of a cylinder is:

Where:

• r, is the ,radius, of the base

• h ,is the height of the cylinder

Notice that the base has a diameter of 20 ft. Therefore, the radius is 10 ft.

Using this data and the formula, we get that:

The volume of the cylinder is:

Recall that the x% in fraction form is:

Therefore 0.0032% as a fraction is:

Simplifying the above result we get:

Answer:

∵ Point A located at 3, then we will refuse answers B and D because

point A on them located at -3

∵ POint D is the opposite of point A

∴ Point D must locate at -3

∵ In figure A point D located at -3, point B located at -1.5, and

point C located at 1 1/2

∴ The number line in answer A is the correct answer

∴ The answer is figure A

Diagram 1.

Strategy 1.

If we add all the areas together we get:

Diagram 2.

Strategy 2.

If we add all the areas together we get:

We can see that we got the same answer: Total area = 7843 quare units

The strategies are similar because they are dividing the total area into smaller ones and then add them together.

However, they are different in that diagram 1 has more areas that are smaller compared to diagram 2. Also, the divisions in diagram 1 are designed to make multiplications easier compared to diagram 2.

5

1) Let's solve that expression step by step

2) As we have an exponent, let's firstly solve this

Now proceeding with the subtraction, and then divide it:

3) Hence, the answer is 5

The debt payments to income ratio is the amount that Rierda spend paying her debt each mount divided by her monthly income:

Answer:

135°

Step-by-step explanation:

To convert an angle from radians to degrees, multiply by [tex]180/\pi[/tex].

[tex]\frac{3\pi}{4} \cdot \frac{180}{\pi}=135^{\circ}[/tex]

Explanation:

The expression is given below as

Concept:

We will apply the bsolute rule below

By applying the concept, we will have

Hence,

The final answer is

Solution:

Given:

From the trail lengths given,

The difference in length between the longest trail and the shortest trail:

The sum of the longest trail and the shortest trail.

From the calculations above, the conclusion can be reached that:

Tom's answer does not make sense. His mistake was he did the sum of the longest trail and the shortest trail.

From the given table, the quadratic model is given by

which corresponds to option B.

The general quadratic model is given by

and we need to find the constants A, B and C. They are given by

and

For instance, the variance for x, denoted by S_xx is given by

where x is the variable which corresponds to the "years since 1970" and the number 20 in each parenthesis is the mean of the this variable, that is

Now, the variance S_xy is given by

Over the interval t = 3 to t = 4, g(t) increases.

The increasing factor (f) is computed as follows:

where g(4) is g(x) at t = 4, and g(3) is g(x) at t = 3. Substituting with the formula of g(t) and evaluating each expression, we get:

Then, g(t) increases by a factor of 4

Given :

A bicycle wheel is 63 centimeters from top to bottom .

So, the diameter of the wheel = 63 cm

When the wheel goes all the way around one time , the bicycle travels 198 centimeters .

So, the circumference of the circle = 198 cm

The circumference of the circle of diameter = d will be :

So,

The equation for the relation of sides of triangle can be obtained by similar triangle property.

Consider triangle ABC and triangle DBE.

Determine the ratio of corresponding sides of simillar triangle.

Thus similar triangle property is used to set up the equation.

Given that the Confidence Interval for a population mean:

In this case, you can set up these two equations:

Because by definition:

Where "ME" is the margin of error and this is the mean:

In this case, in order to find the "ME", you need to follow these steps:

1. Add Equation 1 and Equation 2:

2. Solve for the mean:

3. Substitute the mean into Equation 1 and solve for "ME":

Hence, the answer is:

Answer:

Choice C: 3.0 m

Explanation:

We are basically asked to solve for L using

we have that

Applying proportion

x/9=5.5/3

solve for x

x=9*(5.5/3)

x=16.5 ft

therefore

In order to determine which data sets should be displayed on a stem display, you consider that the stem display is usefull in the cases in which you have data which can be grouped easily. For instance, for data set in which there are differents number with the same first digit(s).

According with the previous definition you can notice that the options E) and A) are the best options, because there are different number that can be grouped, for example, according to the first number.

For other options you have other situations, for option D) there is no way to group the data. For option C) there is only one number on each data, so, there wouldn't be leafs in the diagram, and the same applies to option B), the first number is the same in all data, then, there is no way to group.

Given:

Scale factor = 1 inch 8ft

Floor Plan measurement = 2.5 inches

Solution

We should re-write the scale factor in units of inches only.

Recall that:

Then, the scale-factor in inch:

We can then find the actual distance by multiplying the represented distance (2.5 inches) by the scale factor.

So, we have:

Answer: Actual distance = 242.5 inches

The side lengths given form a triangle

Let the lengths of the sides of the triangle be "a", "b" and "c"

For the length to form sides of a triangle, the sum of any two sides of the triangle must be greater than the third as shown:

Given the sides of the triangle as 34km, 27km, and 58km

Let a = 34km, b = 27km and c = 58km

Substituting these values in the expression above to check if it is true:

Since the inequality expression supports the theorem above, hence the side lengths given form a triangle

EXPLANATION

If a ray QT bisects

(3x - 5) + (x+1) = 180 [By the Linear Pair Theorem]

Removing the parentheses:

3x - 5 + x + 1 = 180

Grouping like terms:

3x + x + 1 - 5 = 180

Adding like terms:

4x -4 = 180

Adding +4 to both sides:

4x = 180 + 4

Adding numbers:

4x = 184

Dividing both sides by 4:

x = 184/4

Simplifying:

x=46

Now, we need to compute the resulting angles:

m m

As QT bisects

47/2 = 23.5 degrees

The answer is 23.5°

There are several ways of taking apart the number 14:

1 and 13

2 and 12

3 and 11

4 and 10

5 and 9

6 and 8

7 and 7

Nevertheless, as we can see by the note below that exercise,

"Have your child take apart 16 to make a ten to find 87 - 16",

we can conclude that the exercise is asking how to take apart 14 to make a ten. By doing so, the subtraction operation (28 - 14) gets simpler since you could subtract 4, and then subtract the ten:

14 = 10 + 4 (1 ten and 4 units)

So, when we do 28 - 14, we can do that in two steps:

• 28 - 4 = ,24

• 24, - 10 = 14

Therefore, based on the note below exercise 6, the expected answer is

10 and 4

rectangular prism volume is ,

The wavelength traveling through human tissue when the velocity is 1540 m/s and frequency is 60Hz will be 25.67 m.

According to the question,

We have the following information:

Frequency of a cell disruptor = 60 Hz

Velocity of the cell disruptor = 1540 m/s

We know that the following formula is used to find the wavelength:

Wavelength = Velocity/frequency

Wavelength = 1540/60 m

(Note that when velocity is given m/s and frequency is given in Hz then the unit of wavelength is m. Every physical quantity has to be expressed with its units.)

Wavelength = 25.67 m

Hence, the wavelength traveling through human tissue is 25.67 m.

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Using the combination formula, the probability that of the 4 new cereals that will be produced, 2 are oat cereals, 1 is a wheat cereal, and 1 is a rice cereal is of 4/33.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.

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

This formula is used when the order in which the objects are chosen is not important, as is the case in this problem.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the total outcomes, 4 cereals are taken from a set of 12, hence:

[tex]T = C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

For the desired outcomes, we have that:

Hence the number is:

[tex]D = C_{3,2}C_{5,1}C_{4,1} = \frac{3!}{2!1!} \times \frac{5!}{1!4!} \times \frac{4!}{1!2!} = 3 \times 5 \times 4 = 60[/tex]

Hence the probability is:

p = 60/495.

Both numbers can be simplified by 5, hence:

p = 12/99.

They can also be simplified by 3, hence:

p = 4/33.

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Hi there. To solve this question, we have to remember some properties about similar triangle and congruency.

Given the triangles ADH and ECK,

We know that

That is, the angle at D is congruent to the angle at C in the respective triangles.

In this case, we can think of the congruency between the triangles in the following diagram:

Notice that ADCB is a parallelogram and the angles given show that the angles at D and at C are congruent, hence the other angles in the parallelogram must be congruent as well.

This means that opposite sides are parallel and have the same measure (length).

The opposite sides are AD and CB and DC and AB.

In this case, we find that only AD and CB are an option to this question, therefore the correct answer.

In fact, AC is the diagonal of the parallelogram and is not parallel to any segment of the figure.

AE isn't a segment drawn and hence not parallel to any other segment.

The correct answer is the option A).

Given a right angle triangle:

we need to find the measure of the angle θ

As shown:

The opposite side to the angle θ = 24

The adjacent side to the angle θ = 45

So,

so, the answer will be sin θ/2 = 0.2425

ANSWER

x = 2.8

EXPLANATION

The function given is:

f(x) = 350 - 125x

We want to find the value of x when f(x) = 0.

This means that:

That is the value of x

The slope of the line with that passes through the coordinates  (2,8) and (12,20) is 6/5.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 2,8 )

Point 2( 12,20 )

Slope m = ?

To find the slope m, plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 20 - 8 )/( 12 - 2 )

Slope m = ( 12 )/( 10 )

Slope m = 12/10

Slope m = 6/5

Therefore, the slope of the line is 6/5.

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SOLUTION

Step 1 : One of the easiest ways to determine which one of the quantities is greater is by expressing the quantities as a decimal.

Step 2: From the two quantities expressed as decimals, we can see that :

CONCLUSION :