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elena-14-01-66 [18.8K]
2 years ago
14

The figure shown is a regular octagon. The measure of What is the measure of

Mathematics
2 answers:
Leni [432]2 years ago
8 0

Answer:

b)135°

Step-by-step explanation:

The value of an interior angle of 135° is appreciated

In a regular polygon all interior angles are equal

Angle x = 135°

Hope this helps

emmainna [20.7K]2 years ago
5 0

Answer:

135°

Step-by-step explanation:

X is also 135°    as is S  , T  U , V, W and Y

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( BRAINLIEST QUEATION)
mr Goodwill [35]

Answer:

Step-by-step explanation:

Weight decreased = 108 - 88 =  20 Kg

Percentage decrease = \frac{20}{108}*100

                   = 18.52%

3 0
2 years ago
Of the entering class at a​ college, ​% attended public high​ school, ​% attended private high​ school, and ​% were home schoole
Veronika [31]

Answer:

(a) The probability that the student made the​ Dean's list is 0.1655.

(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

Step-by-step explanation:

The complete question is:

Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.

a) Find the probability that the student made the Dean's list.

b) Find the probability that the student came from a private high school, given that the student made the Dean's list.

c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.

Solution:

Denote the events as follows:

<em>A</em> = a student attended public high school

<em>B</em> = a student attended private high school

<em>C</em> = a student was home schooled

<em>D</em> = a student made the Dean's list

The provided information is as follows:

P (A) = 0.71

P (B) = 0.21

P (C) = 0.08

P (D|A) = 0.16

P (D|B) = 0.19

P (D|C) = 0.15

(a)

The law of total probability states that:

P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})

Compute the probability that the student made the​ Dean's list as follows:

P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)

         =(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655

Thus, the probability that the student made the​ Dean's list is 0.1655.

(b)

Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:

P(B|D)=\frac{P(D|B)P(B)}{P(D)}

             =\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411

Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c)

Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:

P(C^{c}|D^{c})=1-P(C|D^{c})

               =1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185

Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

3 0
2 years ago
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
Elis [28]

Answer:

A dilation with a scale factor less than 1 and then a reflection.

Step-by-step explanation:

A dilation with a scale factor less than 1 and then a reflection is the composition of similarity transformations maps polygon ABCD to polygon A'B'C'D.

4 0
3 years ago
Read 2 more answers
Please answer this correctly.I have to finish this today as soon as possible
Zina [86]

Answer:

34:48

Step-by-step explanation:

adult:child

34:48

simplify: ÷2

17:24

5 0
3 years ago
What is -86+(-13) what is the answer
ValentinkaMS [17]
It will help you.

And the answer is -99 feet below the surface.

-86+(-13)
= -99
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3 years ago
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