Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.She has at least one green one.

Answers

Answer 1

Answer: Suzan has a 1/3 chance of having at least one green

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HELP PLEZ TRIGONOMETRY!

Answers

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha$

Solution:

Given that we have to simplify:

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)$ ---- eqn 1

We know that,

$sin^2 x = 1 - cos^2 x$

Substitute the above identity in eqn 1

$(2\left(1-\cos ^(2) \alpha\right)-1)/(\sin \alpha+\cos \alpha)$

Simplify the above expression

$(2-2 \cos ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)$

$(1-2 \cos ^(2) \alpha)/(\sin \alpha+\cos \alpha)$ ------- eqn 2

By the trignometric identity,

$(sin x + cos x)(sin x - cos x) = 1-2cos^2 x$

Substitute the above identity in eqn 2

$((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)$

Cancel the common factors in numerator and denominator

$((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)=\sin \alpha-\cos \alpha$

Thus the simplified expression is:

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha$

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1) + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2 = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

A 4 foot wide painting should be centered on a 14 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

5 feet

Step-by-step explanation:

To find x, we can write:

x + 4 + x = 14

2x + 4 = 14

2x = 10

x = 5 feet

60 % of 80 ASAP pls bruuh

Answers

Answer:

Step-by-step explanation:

just ask siri

Are they equal or diffrent angles

Answers

equal because the parallel lines :)

5.Eight feet of plastic tubing costs $4.08. If you only have $8.16 to spend, how much plastic tubing
can you afford?
Cho

Answers

Answer:

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Answer:

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

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