All categories

3 years ago

12 36 27 Write proportion for the set of simular polygons.

Mathematics

1 answer:

Kipish [7]3 years ago

6 0

Answer:

The ratio is 27/36

Step-by-step explanation:

Mathematically, when two shapes are similar, the ratio of their corresponding sides are equal

What we have in the question are same side values on each of the polygons

So therefore, we have it that;

w/12 = 27/36

You might be interested in

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:

A = a student attended public high school

B = a student attended private high school

C = a student was home schooled

D = 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

what is the monthly payment for a loan if the amount to finance is $12,385 the APR is 6.9% for 5 years and the monthly payment p

Leni [432]

$1.98 * ($12,385/$100) = $245.22

5 0

2 years ago

Read 2 more answers

Select the correct answer. If the graphs of the linear equations in a system are parallel, what does that mean about the possibl

Studentka2010 [4]

Answer:

there are no solutions if two linear equations are parallel to each other.

*B. no sloution

7 0

2 years ago

Parallel lines e and f are cut by transversal b what is the value of x?

NikAS [45]

Answer: 25

Step-by-step explanation:

Both lines are being cut by the same transversal so to solve for x, make both equations equal to each other

2x+10 = 3x-15

To isolate x, do the inverse operations (for any side chosen)

Do the inverse operations to move -15 and isolate 3x

Add 15 to 10 (10+15=25)

You now have 2x+25=3x

Now, do the same to combine the x values together

25=3x-2x

You now have 25=1x

Divide by 1 on both sides

25=x

4 0

3 years ago

Read 2 more answers

What type of conic section is the following equation? x2 - 4y2 = 100 parabola circle hyperbola ellipse

chubhunter [2.5K]

Answer:

hyperbola

Step-by-step explanation:

3 0

3 years ago