A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?

Answer:

Step-by-step explanation:

Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

Answer:

[tex]1017.9ft ^{3} [/tex]

Step-by-step explanation:

[tex]volume \: of \: cylinder \\ v = \pi \times r {}^{2} \times h \\ = \pi \times 9^2 \times 4 \\ = 1017.9[/tex]

Answer:

A) .8 x.6 = .48

Step-by-step explanation:

B, C, and D are all answered incorrect

Answer: Choice D

[tex]\frac{9\sqrt{2}}{2}[/tex]

=============================================

Explanation:

We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.

Solving for y gets us [tex]x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}[/tex]

In this case, y = 9 is the hypotenuse which then leads to choice D.

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

Another way to find the answer is to use the pythagorean theorem

a = x and b = x are the two congruent legs

c = 9 is the hypotenuse

Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to [tex]x = \frac{9\sqrt{2}}{2}[/tex]

Answer:

16 = x

Step-by-step explanation:

A triangle has 180 degrees. Use this to solve for x

180=(9x-8)+(x+2)+(x+10)

180 = 9x + x + x - 8 + 2 +10

180 + 8 -2 - 10 = 11 x

176 = 11x

176/11 = x

16 = x

Answer:

Equation: 180 = 127.50 + 3.5x

Angle 1: 135.45°

Angle 2: 44.55°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9/4x + 101.7 + 1 1/4x +25.8 = 180

Change the mixed number to an improper fraction

9/4x + 101.7 + 5/4x +25.8 = 180

Combine like terms

14/4x +127.5 = 180

Subtract 127.5 from each side

14/4x = 180-127.5

14/4x = 52.5

Multiply each side by 4/14 to isolate x

x =52.5 * 4/14

x = 15

Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45

Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55

Answer:

[tex]MN = \sqrt{14[/tex]

Step-by-step explanation:

Given

[tex]NO = 12[/tex]

[tex]OP = 2.5[/tex]

[tex]OQ = 4.5[/tex]

Required

Find MN

First, we calculate QP using Pythagoras theorem

[tex]OQ^2 = OP^2 + QP^2[/tex]

[tex]4.5^2 = 2.5^2 + QP^2[/tex]

[tex]20.25 = 6.25 + QP^2[/tex]

Collect like terms

[tex]QP^2 = 20.25 - 6.25[/tex]

[tex]QP^2 = 14[/tex]

Take square roots

[tex]QP = \sqrt{14[/tex]

To solve MN, we have:

[tex]MN = OP[/tex]

So:

[tex]MN = \sqrt{14[/tex]

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

ht= 9 + 45 + 16

ht= 70

Answer:

8

Step-by-step explanation:

6g = 48

/6 /6

divide 6 by both sides

g = 8

hope this helped!

Answer:

Volume of Cuboid = 72 cubic feet

Step-by-step explanation:

Using 1 cubic foot as standard

Given:

Length of given cuboid = 6 feet

Width of given cuboid = 3 foot

Height of given cuboid = 4 foot

Find:

Volume of Cuboid

Computation:

Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid

Volume of Cuboid = (6)(3)(4)

Volume of Cuboid = 72 cubic feet

Answer:

x = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x + (3x - 4) = 5 - (-7 - 3x)

Step 2: Solve for x

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

Answer:

1. 1.5 inches

2. 1 inch

3. 1.75 inches

4. 1.25 inches

5. 2 inches

Step-by-step explanation:

im guessing that you're asking what each place is.

Step-by-step explanation:

would you still like me to help you with this question

Angle of depression of the slope is 24. degree.

Angle of depression is equal to the angle of elevation.

sine = the vertical drop/ the ski slope

sine = 100/250

      = 2/5 = 0.4.

sine - 1 (0.4) = 23.57 which is about 24 degree.

Therefore, the correct angle of depression of the slope is approximately 24 degree.

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Answer:

5 dogs

1 1/4 cups per bottle

Step-by-step explanation:

10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5

45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4

Answer:

It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.

Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.

Choice B would work, as it follows the definition of a Compound Sentence.

Choice C wouldn't work, that would be a Complex Sentence

Choice D wouldn't, that would be a Simple Sentence.

Also, note that this question is something for the Language Arts section.

Answer:

B. A sentence that includes two independent clauses connected by a conjunction.

Step-by-step explanation:

Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).

Example would be:

Juan likes to hunt, and he is going hunting on Sunday.

"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.

"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.

The conjunction "and" is used, and a comma is correctly placed before "and."

Answer:

x = -6

Step-by-step explanation:

1/3(x-9)=2x+7

1/3x - 3 = 2x + 7

-5/3x = 10

x = -6

Answer:

a. 4

b. 5

Step-by-step explanation:

a. r = √(112/7) =√16 =4

b. 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5 and the common difference is;4.

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

We are given that  terms shown below are the first three terms of a geometric sequence whose common ratio is positive.

7, 4x+8, 112

Therefore, the common difference is;

r = √(112/7) =√16

r =4

Now, 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5.

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The number of coloured papers as per the given problem is 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The ratio of coloured papers to white papers is 3/8.

And, the number of white papers is 48.

Suppose, the number of coloured papers be x.

Then, as per the question the following equation can be obtained,

3/8 = x/48

=> x = 3/8 × 48

=> x = 18

Hence, the number of coloured papers is 18.

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Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

The exact value of cot A will be 0.857.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.

Then the value of angle A will be

csc A = √85 / 6

1 / cos A = √85 / 6

cos A = 6 / √85

A = 49.4°

Then the exact value of cot A will be

cot A = cot 49.4°

cot A = 0.857

The exact value of cot A will be 0.857.

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Answer:

12 no .

x+2(4/5)=3(1/6)

x+5*2+4/5=6*3+1/6

x+14/5=19/6

5*x+14/5=19/6(do cross multiplication)

6(x+14)=19*5

6x+84=95

6x=95-84

x=11/6

Step-by-step explanation:

13 no

-0.4a+1.2=3.6

-0.4a=3.6-1.2

a=2.4/-0.4

a=-6