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3 years ago

In parallelogram ABCD, m Find m

Mathematics

1 answer:

Nuetrik [128]3 years ago

6 0

Answer:

The angle C measures 120 degrees.

Step-by-step explanation:

For a polygon of n sides, the sum of internal angles, in degrees is given by:

$S = (n-2) \times 180$

Parallelogram

4 sides, so

$S = (4-2)*180 = 360$

Two pairs of equal angles

B and D measure 60

A and C measure x. So

$2x + 2*60 = 360$

$2x = 240$

$x = \frac{240}{2}$

$x = 120$

The angle C measures 120 degrees.

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In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that $p = 0.53$

9 of those survey subjects are randomly selected

This means that $n = 9$

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348$

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0

3 years ago

What is the product of 3x(x2 + 4)? o x2 + 3x + 4 3r3+ 4 O 3x + 12x o 3x2 + 12x

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

3x(x^2+4)

=3x^2+12x

8 0

3 years ago

3. At a bargain store, Jamal bought 2 items that each cost the same amount. Isaiah bought 3 items that each cost the same amount

coldgirl [10]

Answer:

$6.75 and $4.50

Step-by-step explanation:

a) Jamal spent:

Isaiah spent:

3 (x - 2.25)

The equation is:

2x = 3(x - 2.25)

b) Solving the equation

2x = 3x - 6.75
3x - 2x = 6.75
x = 6.75

c) Jamal's items cost

$6.75 each

Isaiah's items cost

$6.75 - $2.25 = $4.50 each

7 0

3 years ago

A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o

g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0

3 years ago

Find the solution to the equation or inequality below. You must type in the entire solution, for example x=5 if it is an equatio

Alina [70]

5x - 9 = 26
5x - 9 + 9 = 26 + 9
5x = 35
5x/5 = 35/5
X = 7

4 0

3 years ago