Advanced Mathematical Decision Making......

Segment MB is approximately ___

Segment MA is approximately ___

The radius of the Earth is approximately _____

Given:

Equation of a line is

[tex]x-3y=-18[/tex]

To find:

The slope of the line perpendicular to the given line.

Solution:

The slope of the equation [tex]ax+by=c[/tex] is

[tex]Slope=-\dfrac{a}{b}[/tex]

We have,

[tex]x-3y=-18[/tex]

Here, a=1, b=-3. So, slope of this line is

[tex]m_1=-\dfrac{1}{-3}[/tex]

[tex]m_1=\dfrac{1}{3}[/tex]

Product of slopes of two perpendicular lines is -1.

Let slope of perpendicular line is [tex]m_2[/tex].

[tex]m_1\cdot m_2=-1[/tex]

[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]

[tex]m_2=-3[/tex]

Therefore, the slope of the perpendicular line is -3.

Answer:

Proportion:  1/3=3/x

Step-by-step explanation:

The "1/3" proportion is telling us how the scale measurement relates to the real measurement.

The "3/x" describes the length of side B.

Now it is easy to figure out the answer! :D

Hope it helped!

Answer:

c

Step-by-step explanation:

i took the test mark brainlest if right

Answer:

B. 12.9cm

Step-by-step explanation:

I presume we are asked to find the length of b

The correct answer is 44

Answer:

Line B & C

Step-by-step explanation:

Parallel lines have the same slope.

Lines B and C have the same slope.

You can see that for both lines B and C that each time the line goes through an exact point, they line up.

A possible diagram to illustrate the situation is two circles that intersect, the circle marked as hockey includes the number 10, the circle marked as volleyball includes the number 15 and the intersection includes the number 5 (as you can see in the attachment).

This is a diagram that uses circles and their intersections to illustrate the number of individuals in groups.

In this case, the Venn Diagram should include the following information:

Learn more about Venn diagrams in https://brainly.com/question/29301560

#SPJ1

Answer:

10!!

Step-by-step explanation:

10 x 3 = 30

10 + 10 + 10 = 30

Answer:

36

Step-by-step explanation:

18 = a/2

In order to get variable a by itself, you multiply both sides by 2. 18 x 2 is 36

Answer:

The blue dot is on -3.1

Step-by-step explanation:

Answer: The blue dot is -3.21

Answer:it is the third option

Step-by-step explanation:

I took the test (:

Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]

Suppose that there are two events A and B. Then suppose the conditional probability are:

We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.

We are given the following table of joint relative frequency:

[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]

We named events as A, A' and B and B' (event and their complements).

The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]

[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]

[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]

[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]

Evaluating probabilities of choices given, we get:

Case 1: E = A randomly selected student who owns a skateboard is a freshmen

P(E) = ?

P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]

Case 2: E = A randomly selected student who is a freshmen owns a skateboard:

P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]

Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen

P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]

Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen

P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]

Thus, the least probability is for the second case.

Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Learn more about probability here:

brainly.com/question/1210781

Answer:

The answer isssssssss 26°!!!

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Answer:

Option (3)

Step-by-step explanation:

If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.

In ΔABC,

m∠CAB = 180°- (m∠B + m∠C)

        = 180° - (25° + 27°)

        = 180° - 52°

        = 128°

Since, ∠CAB > ∠ABC  ∠ACB

Therefore, a > b > c ---------(1)

Now from ΔADB,

m∠BAD + m∠ADB + m∠DBA = 180°

32° + m∠ADB + m∠35° = 180°

m∠ADB = 180° - 67°

             = 113°

Since, m∠ADB > m∠DBA > m∠BAD

Therefore, c > d > e -------(2)

Combining both the inequalities,

a > b > c > d > e  

Option (3) will be the answer.

Answer:

yale

Step-by-step explanation:

harvard overrated

Answer:it is a personal opinion

Step-by-step explanation:

each school has its goods and bads. I personally would chose Stanford or Princeston because I haven't heard that many bad things from there and has great education. hope this helps

Answer:

1296

Step-by-step explanation:

Evaluate the expression, m^n if

m = 6 and n= 4

m^n = 6^4

m^n = 6⁴

m^n = 1296

Answer:

y=-2/3x+5

Step-by-step explanation:

Answer:

Your answer is B

Oh and have a nice day and stay safe!

- all love from jen <3

Answer:

The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]

Step-by-step explanation:

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

Answer:

A

Step-by-step explanation:

Answer:

1.55

Step-by-step explanation:

Answer:

1 11/20

Step-by-step explanation:

Sorry I don't have time to explain! Hope this helps and have a good day ^^

Answer:

i. A = 4 + 3t .......... 1

  B = 12 + 2t .......... 2

ii. The hours required would be 8 hours.

Step-by-step explanation:

The charges at each of the garages can be expressed as;

i. For garage A,

A = 4 + 3t .......... 1

ii. For garage B,

B = 12 + 2t .......... 2

where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.

To determine the number of hours  parked that would make the cost of each garage the same.

Let:

equation 1 = equation 2

4 + 3t = 12 + 2t

collect like terms

3t - 2t = 12 - 4

t = 8

The hours that would make the cost of each garage the same is 8 hours.

Answer:

[tex]-\frac{x-4}{9}[/tex]

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

Answer:

heres some info for you!

Step-by-step explanation:

Answer:

5m

Step-by-step explanation:

Answer:

I got 4e+12 which is d

I think

Step-by-step explanation:

Answer:

[tex]4* 10^{12}[/tex] (The 2nd one)

Step-by-step explanation:

You can do 6 ÷ 1.5.

This will give you 4.

If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.

8 - (-4) = 12

6 is your base and 12 is your exponent.

Given:

The expression is

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

It can be written as

[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]

[tex]=\dfrac{10+(6)^2}{2}[/tex]

[tex]=\dfrac{10+36}{2}[/tex]

[tex]=\dfrac{46}{2}[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer:

34 degrees

Step-by-step explanation: