Use the circle below.
a. What appear to be the minor arcs of OL?
b. What appear to be the semicircles of OL?
c. What appear to be the major arcs of OL that contain point K?

Answer:

[tex]P(50 < x < 150) =0.3834[/tex]

[tex]P(x = 100) =0.0074[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.[/tex]

Solving (a): Probability that it will function between 50 and 150 hr before it breaks down

This is represented as:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx[/tex]

So, we have:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}[/tex]

This gives:

[tex]P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-150/100} + e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-1.5} + e^{-0.5}[/tex]

[tex]P(50 < x < 150) =- 0.2231 + 0.6065[/tex]

[tex]P(50 < x < 150) =0.3834[/tex]

Solving (a): Probability that it will function exactly 100 hr before it breaks down

This is represented as:

[tex]P(x= 100)[/tex]

This can be rewritten as:

[tex]P(x= 100) = P(99<x<101)[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}[/tex]

This gives:

[tex]P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-101/100} + e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-1.01} + e^{-0.99}[/tex]

[tex]P(99 < x < 101) =- 0.3642 + 0.3716[/tex]

[tex]P(99 < x < 101) =0.0074[/tex]

Hence:

[tex]P(x = 100) =P(99 < x < 101) =0.0074[/tex]

Answer:

It depends were you are looking from but there is shows D. Oval so ig thats

the answer

My Jingle:

Ice cream cake - oh, ice cream cake...

How I love the way you taste...

You melt in my mouth with every bite...

Dreams of you keep me up at night...

Ice cream cake - oh, ice cream cake...

How I love the way you taste.

I hope you like it!

Answer:

(3,1);(6,-2)

Step-by-step explanation:

I pretty much just looked at where they both intersected with each other and you'll get your answer.

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

Answer:

A=hbb/2 hope this helps :)

Step-by-step explanation:

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the frequency distribution as :

People per residence (x)   Frequency (f)           fx      

          1                                   2                            1 × 2 = 2

          2                                   4                           2 × 4 = 8

          3                                   3                           3 × 3 = 9

          4                                   1                            4 × 1 = 4

          5                                   1                            5 × 1 = 5

          6                                   1                            6 × 1 = 6

Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34

Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12

⇒ Mean = Σfx/Σf

⇒ 34/ 12

⇒ 2.83 ≈ 2.8

Thus, the mean of the frequency distribution is 2.8.

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Answer c

Step-by-step explanation:

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

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Answer:

The answer is A.

if im wrong im truly sorry

Answer:

560

Step-by-step explanation:

Answer:

5 9/14

Step-by-step explanation:

easy maffs

Answer:

24 units

Step-by-step explanation:

Original perimeter:

5+4+3=12

When each side length is doubled, the original perimeter is doubled.

12*2=24

Answer:

if the length of each side is is doubled then

5×2 = 10

4×2 = 8

3×2 = 6

perimeter of new figure = 10 + 8 + 6

= 24 units

hope this helps good day mate

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

1.679-1.439

Answer:

175 /2

Step-by-step explanation:

Answer: B. 6 - 7i

Step-by-step explanation:

The complex conjugate of the given graph of the complex number is 6-7i.

We have given that,

7 – 6i

6 – 7i

–7 + 6i

–6 + 7i

We have to determine the conjugate of z.

changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.

Therefore the complex conjugate of the given graph of the complex number is 6-7i.

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Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

actually its depend on how is he working day by day

Answer:

7.20

Step-by-step explanation:

Answer:

7.20 or 6.90

Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20

Answer: -3

Step-by-step explanation:

The common ratio of the geometric sequence –4, 12, -36,... is -3.

12/(-4) =-3

-36/(12) = -3

They both multiply -3 for the next number.

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]

Answer:

Step-by-step explanation:

simpify each term

x- 2/x +3+ 10/x -9

combine fractions

x+3 -9 + 8/x

find common denominator then simplify terms                          [tex]\frac{x*x}{x}+\frac{3x}{x}+\frac{-9x}{x}+\frac{8}{x}[/tex]

[tex]\frac{x^{2}-6x+8 }{x}[/tex]

factor

[tex]\frac{(x-4) (x-2)}{x}[/tex]

Answer:

(x−4)(x−2)x

Step-by-step explanation:

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

An equation is an expression that shows the relationship between two or more numbers and variables.

A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:

Amount of molasses needed = 3 * (3/4) cup = 9/4 cups

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

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