A triangle has two angles that measure 65 degrees and 35 degrees. What is the measurement of the third angle?

An explanation would be appreciated! Will mark BRAINLIEST for best answer! #3

Bad White [126]

Answer:8:24

Step-by-step explanation:

So since it is 1:3 and 2 dozen is 24 so 24 divided by 3 = 8 so now it’s 8:24

5 0

3 years ago

In a particular year, a total of 40 comma 285 students studied in two of the most popular host countries when traveling abroad.

klasskru [66]

Answer: 2nd most popular country = 15895 students

most popular country = 24390 students

Step-by-step explanation:

Total students: 40,285

2nd most popular country = x students

most popular country = x + 8,495 students

x + x + 8495 = 40285

2x + 8495 = 40285

2x = 40285 - 8495

2x = 31790

x = 15895

2nd most popular country = x = 15895 students

most popular country = x + 8,495 = 15895 + 8,495 = 24390 students

6 0

3 years ago

Please help me with 10-12 +BONUS

dedylja [7]

Hi!

10.

This question is basically asking you, 10 is 40% of what number?

10 × 100 / 40 = 25

Fred must do 25 math problems.

12.

Bed & Bath = 40%

Clothing = 0.625 = 62.5%

Appliances = 20%

Electronics = 0.25 = 25%

Least to Greatest: Appliances (20%), Electronics (25%), Bed & Bath (40%), Clothing (62.5%).

4 0

3 years ago

3x^2/3 - 2x^1/3 - 1 = 0

ch4aika [34]

Answer: in algebra if something = 0 thin it is 1

Step-by-step explanation: please mark brainlyest

4 0

2 years ago

Read 2 more answers

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

3 years ago