Unit 10: Circles Homework 4: Inscribed Angles

Find each angle or arc measure of mRS

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

Answer:

a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

b) The expected number of available places when the limousine departs is 0.1.

c) [tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Step-by-step explanation:

For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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.

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

And p is the probability of X happening.

The expected value of the binomial distribution is given by:

[tex]E(X) = np[/tex]

The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

This means that [tex]n = 6[/tex]

35% of all those making reservations do not appear for the trip.

This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]

A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So

[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]

[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]

0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

B) If six reservations are made, what is the expected number of available places when the limousine departs?

The expected number of arrivals is given by:

[tex]E(X) = np = 6*0.65 = 3.9[/tex]

Since the are four places:

4 - 3.9 = 0.1

The expected number of available places when the limousine departs is 0.1.

C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

This is the probability of each outcome. So

[tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Answer:

Your answer is C.

exponential is to the power of a value and hence c meets the requirements

Answer:

volume = 502.4 cm³

Step-by-step explanation:

volume = 4²π(10) = 160π = 502.4 cm³

Answer:

W = 882 N

Step-by-step explanation:

Given that,

The weight of a person, W = 90 kg

The value of acceleration due to gravity, g = 9.8 m/s²

We need to find the weight of the person on Earth. The formula for the weight of an object is given by :

W = mg

Substitute all the values,

W = 90 kg × 9.8 m/s²

W = 882 N

So, the weight of the person is equal to 882 N.

Answer:

From least to greatest it is:

3.441, 4 4/9, 89/20, 4.93

Answer:

[tex] y = 1 [/tex]

Step-by-step explanation:

Given:

[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]

Apply the negative exponent rule

[tex] a^{3y - 5} = a^{-2} [/tex]

The bases will cancel each other

[tex] 3y - 5 = -2 [/tex]

[tex] 3y - 5 + 5 = -2 + 5 [/tex]

[tex] 3y = 3 [/tex]

[tex] \frac{3y}{3} = \frac{3}{3} [/tex]

[tex] y = 1 [/tex]

Answer:

5km

35 divided by 7 is 5

Answer:

3+78=81

Step-by-step explanation:

2+2

Answer:

The answer is C. 4,300

Answer explanation :

Answer: C. 4,300

Steps:

64,500 / 15 = 4,300

Check:

15 * 4,300 = 64,500

64,500 = 64,500 ✅

I would appreciate the brainliest if this was helpful and correct! :)

Answer: 40 beads

Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40

Answer:

40

Step-by-step explanation:

27 + 13 = 40

Answer:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

Answer:

x = 4, -7

Step-by-step explanation:

1) Factor out the common term 5.

[tex]5( {x}^{2} + 3x - 28) = 0[/tex]

2) Factor x² + 3x - 28.

[tex]5(x - 4)(x + 7) = 0[/tex]

3) Solve for x.

x = 4, -7

Therefor, the answer is x = 4, -7.

Answer:

x = 4, -7

Step-by-step explanation:

1. Solve the equation using the quadratic formula

The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]

in which A, B, and C are numbers (or coefficients), as follows:

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

2. Determine the quadratic equation’s coefficients A, B, and C

The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:

A = 5

B = 15

C = -140

3. Plug these coefficients into the quadratic formula

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

Calculate the expression inside the parentheses.

Simplify exponents and square roots.

[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]

Perform any multiplication or division, from left to right.

[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{10}[/tex]

to get the result:

[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]

4. Simplify square root

Simplify 3025 by finding its prime factors.

                    3025

                   /         \

                 /             \

             5                  605

              /                    \

            /                        \

          5                          "121"

           /                            \

         /                                \

        11                                11

The prime factorization of 3025 is 5² • 11²

Write the prime factors.

[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11

Group the prime factors into pairs and rewrite in exponent form.

√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]

Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.

[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11

5 • 11 = 55

5. Solve the equation for x

x = [tex]\frac{-15+55}{10}[/tex]

The ± means two answers are possible:

x = 4

or

x = - 7

Answer:

its 60

Step-by-step explanation:

go0gle

Answer:

(6)(5)(4) = 120

Step-by-step explanation:

For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have

6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Here is another way to picture it:

In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F

1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite

2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite

3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite

As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!

Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Answer:

18 and 90

Step-by-step explanation:

If we express in units,

Long piece has 5 units

Short piece has 1 unit

total 6 units

108/6 = 18 inch

which is the length of 1 unit

short = 18 * 1

long = 18 *5

Answer:

22.75 is the correct answer

Answer:

wrong question sorry!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

there is no picture?

Step-by-step explanation:

Answer:

i just want some friends

Step-by-step explanation:

Answer:

x-32

Step-by-step explanation:

Answer:

X-32 :)

Explanation:

Put together an expression.

First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".

Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

Step-by-step explanation:

tan(90-32)=25000/B and tan(90-56)=25000/A

B=25000/(tan(58)) and A=25000/(tan(34))

B-A=25000/(tan58-tan34)=27003ft

The distance between point A and point B is 23195 ft.

For an object below the level, the angle created by the line of sight and the horizontal plane is called the Angle of Depression.

It is given that

A pilot is flying over a straight highway.

the angles of depression to two mileposts to be 32° and 56°, as shown in the figure

The pilot is flying at an altitude of 25,000 ft.

Tan [tex]\rm \theta[/tex] = Height / (Distance of the point and the plane horizontally )

Tan 32 = 25 /x

x = 25000 / tan 32

x = 40064 ft

tan 56 = 25/x

x = 25000/tan 56

x = 16869 ft

the distance between point A and point B is 23195 ft.

To know more about Angle of Depression

https://brainly.com/question/13514202

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Answer: varibles coffeeefishents exponets study then eat

Step-by-step explanation:

Answer:

36:64

Step-by-step explanation:

its simple just divde 36

Answer:

52 green, 15 orange-Please mark brainliest hope this helped!

Step-by-step explanation:

g + o = 67   g = green, o = orange, x = total

g = 3o + 7

use substitution: (3o + 7) + o = 67

solve for o:

4o + 7 = 67

4o = 60

o = 60/4 = 15

solve for g:

g + 15 = 67

g = 52

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603