Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the nearest tenth of a percent.​

Answer:

Step-by-step explanation:

Find the center, the midpoint of the diameter:

Find the square of the radius by distance formula:

Equation of the circle:

Substitute the values to get:

Answer:

solution given:

points at (4, -3) and (-2, 5

diameter [d]=

[tex]d = \sqrt{(4 + 2) {}^{2} +( - 3 - 5) {}^{2} } \\ d = 10units \\ radius(r) = 5units [/tex]

centre[h,k]={(4-2)/2,(-3+5)/2}=(1,1)

now equation of a circle

(x-h)²+(y-k)²=r²

(x-1)²+(y-1)²=25 is a required equation

1. 12/40 or 30% chance

2. 60

Explanation: 1. Not gonna lie i searched it up

2. x/200 times 12/40 = 2400/40

Answer:

c is correct

Step-by-step explanation:

Answer:

c is right answer

Step-by-step explanation:

HOPE IT HELPS U

FOLLOW MY ACCOUNT PLS PLS

2.4x104(4.5x103)

Simplifies to:

10.8x11000

=10.8x11000

Answer:

B) Line graph

Answer:

-50

Step-by-step explanation:

 5f(1) +5g(9) = 5(-5) + 5(-5) = -25 +(-25) = -50

Answer:

5f+45g

Step-by-step explanation:

Answer: is B

Step-by-step explanation:

on edge 2020

The graph that represents the following piecewise defined function is graph D (Image attached).

A piecewise function is known to be a type of function that is known to be formed or created from scratch (pieces) of different functions over different intervals.

An example, a person can make a piecewise function f(x) where f(x) = -9 when -8 < x ≤ -4, f(x) = 5 when -4 < x ≤ -1, and f(x) = -6 when -1 <x ≤ 9. Looking at the graph attached, you can see that it tells us more about  piecewise defined function.

Learn more about  piecewise defined function from

https://brainly.com/question/24313105

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:

Answer:

the x value is 2

because the triangles are similar

i think

The value of x, that is chord CD is 2 cm.

We need to find the value of x.

Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.

In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.

Hence, the value of x, that is chord CD is 2 cm.

To learn more about circle theorems visit:

https://brainly.com/question/19906255.

#SPJ2

Answer:

The mean score is of 617.4.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80.

This means that [tex]\sigma = 80[/tex]

Suppose also that exactly 15% of the scores exceed 700.

This means that when X = 700, Z has a pvalue of 0.85. So X when X = 700, Z = 1.033. We use this to find [tex]\mu[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.033 = \frac{700 - \mu}{80}[/tex]

[tex]700 - \mu = 80*1.033[/tex]

[tex]\mu = 700 - 80*1.033[/tex]

[tex]\mu = 617.4[/tex]

The mean score is of 617.4.

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Answer:

The area of the lawn that is covered by the water from the  sprinkler is

[tex]125.6[/tex] square meter

Step-by-step explanation:

Given

The radius of the circle is 12 m

Area of the circle is [tex]\pi r^2 = \pi * 12^2 = 144\pi[/tex]

For one complete circle,  the degree of rotation is 360 degrees.

Area of lawn covered by rotation of 100 degrees only is 100/360 = 5/18

The area of the lawn that is covered by the water from the  sprinkler is

[tex]\frac{5}{18} * 3.14*144 = 125.6[/tex] square meter

Answer:

Mean: 67

Median: 66

Mode: no mode

Range: 14

Step-by-step explanation:

Answer:

mean

Step-by-step explanation:

Answer:

Step-by-step explanation:

Terminal points of vector u has been given as (4, 0), (9, 4).

Therefore, vector u can be represented by,

[tex]\vec{u}=\vec{u_2}-\vec{u_1}[/tex]

[tex]\vec{u}=(9i+4j)-(4i)[/tex]

[tex]\vec{u}=5i+4j[/tex]

And the magnitude of the vector u will be,

|| u || = [tex]\sqrt{5^2+4^2}[/tex]

       = [tex]\sqrt{41}[/tex]

Slope of vector passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the expression,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of vector u will be,

Slope = [tex]\frac{4-0}{9-4}[/tex]

          = [tex]\frac{4}{5}[/tex]

Similarly, terminal points of vector v are (-7, 1) and (3, 9).

So the vector v will be,

[tex]\vec{v}=(3i+9j)-(-7i+1j)[/tex]

[tex]\vec{v}=(3i+7i)+(9j-1j)[/tex]

[tex]\vec{v}=10i+8j[/tex]

Therefore, magnitude of vector v will be,

|| v || = [tex]\sqrt{10^2+8^2}[/tex]

        = [tex]\sqrt{164}[/tex]

        = [tex]2\sqrt{41}[/tex]

Slope of vector v = [tex]\frac{9-1}{3+7}[/tex]

                             = [tex]\frac{8}{10}[/tex]

                             = [tex]\frac{4}{5}[/tex]

Answer:

-4 5/12

Step-by-step explanation:

Answer:

m<1 = 125°

m<2 = 55°

Step-by-step explanation:

Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:

So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:

1 = 125°

Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:

125 + x = 180

And now we just have to do the inverse operations thing:

180 - 125 = 55

So, m<1 = 125° and m<2 = 55°

tell me if this is wrong so I can fix it

hope this helps:)

Answer:

20x - 21y + 14

1/5(150x - 80y + 50 -50x - 25y + 20)

30x -16y + 10 - 10x - 5y + 4

30x -10x -16y - 5y + 10 + 4

20x -21y + 14

Answer:

20x-21y+14

Step-by-step explanation:

add up like terms and divide them by 5

Answer:

metaphor

Step-by-step explanation:

Answer:

Metaphor!

Step-by-step explanation:

Kites are described as "colorful fishes swimming in the sky".

Metaphors don't use like or as but still compare.

Answer:

d=14in

Step-by-step explanation:

Solution

d=2r=2·7=14in

Hope this helped!!!

Answer:

The Answer is gonna be 1. 24/192

Answer:

24/192 = 1/8

12/168 = 1/14

21/49 = 3/7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

cuz itz IRRATIONAL

Answer96

Step-by-step explanation:

3x (7+8)x2+6=96

Answer:

SHORTYYYYYYYYYYYYYYYYYYYYYYYYYYY ANSWER MEH YOU PRECIOUS CHILD

Step-by-step explanation:

It's meh Min you better not have forgotten who I am-

Answer:

Yes

Step-by-step explanation:

When dividing (or multiplying) two negative numbers, you end up with a positive number. The other slope is already positive. So 4/5=4/5

Answer:

Wat?

Mark me as brainlist

Answer:

whats the question

Step-by-step explanation:

Answer:

The other leg is  12 cm  long.

Step-by-step explanation:

c

2

=

a

2

+

b

2

,

where:

c

is the hypotenuse, and  

a

and  

b

are the other two sides (legs).

Let  

a

=

9 cm

Rearrange the equation to isolate  

b

2

. Plug in the values for  

a

and  

c

, and solve.

b

2

=

c

2

−

a

2

b

2

=

(

15 cm

)

2

−

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

−

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

√

144 cm

2

Simplify.

b

=

12 cm

Answer:

14.14 cm

Step-by-step explanation:

using the Pythagorean theorem:

?² = 15² - 5² = 225 - 25 = 200

? = √200 = 14.14 cm

Answer:

[tex]\displaystyle f'(x) = 2x[/tex]

General Formulas and Concepts:

Calculus

Limits

Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = x^2[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

5

Step-by-step explanation:

Answer:

[tex]f^{-1}(x) = (x + 8)^2[/tex]

[tex]x \ge -8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt x - 8[/tex]

Solving (a): [tex]f^{-1}(x)[/tex]

We have:

[tex]f(x) = \sqrt x - 8[/tex]

Express f(x) as y

[tex]y = \sqrt x - 8[/tex]

Swap x and y

[tex]x = \sqrt y - 8[/tex]

Add 8 to [tex]both\ sides[/tex]

[tex]x + 8 = \sqrt y - 8 + 8[/tex]

[tex]x + 8 = \sqrt y[/tex]

Square both sides

[tex](x + 8)^2 = y[/tex]

Rewrite as:

[tex]y = (x + 8)^2[/tex]

Express y as: [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = (x + 8)^2[/tex]

To determine the domain, we have:

The original function is [tex]f(x) = \sqrt x - 8[/tex]

The range of this is: [tex]f(x) \ge -8[/tex]

The [tex]domain[/tex] of the [tex]inverse[/tex] function is the [tex]range[/tex] of the [tex]original[/tex] function.

Hence, the domain is:

[tex]x \ge -8[/tex]