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3 years ago

Classify the following triangle

Mathematics

2 answers:

frosja888 [35]3 years ago

3 0

Answer:

Scalene and obtuse

Step-by-step explanation:

The triangle is scalene because all the sides are not equal, and it is obtuse because the central angle is greater than 90 degrees.

Nata [24]3 years ago

3 0

Answer:

The triangle is scalene and obtuse.

Step-by-step explanation:

The triangle is -

A. Scalene - A scalene triangle is that triangle which has all the three sides unequal. We can see the sides are 11.9 .7 and 6 units. Thus making it scalene.

B. Obtuse - An obtuse triangle is a triangle in which one of the angles is an obtuse angle. Here the angle is given as 132 degrees is greater than 90 degrees or obtuse. So, this is also an obtuse triangle.

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Inessa05 [86]

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

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2 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

OLEGan [10]

Answer:

y = 8x+7

Step-by-step explanation:

firstly reduce the equation to an arithmetic series starting from the 0th term so:
7, 15, 23, 31, 39....

Secondly, identify the common difference: 8
we now know that the answer must contain 8x

Thirdly, form the equation 8x + c = y where y is a constant. Afterwards insert the values of any given x and y so:
8*0 + c = 7
c = 7
Thusly we now know that the series and thus equation is 8x+7 = y

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1 year ago

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What’s the answer to 10,11,12, and 13

Naddik [55]

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1 year ago

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Thirty percent of the people refused to work and just sat around. if 1400 people worked, how many just sat around?

Nezavi [6.7K]

30% can also be written as .3, which is easier to use in this case.

To find how many just sat around, multiply the number of people by the percentage of how many just sat around.

1400*.3=420

5 0

3 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

2 years ago