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Furkat [3]
2 years ago
8

I will give 5 points

Mathematics
1 answer:
ikadub [295]2 years ago
8 0

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

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Which points in the scatter plot are outliers?
Liono4ka [1.6K]
An outlier<span> is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.  


Basically the ones that are far away from the others.

Thus, the outliers for this graph are K and F

</span>
3 0
3 years ago
Read 2 more answers
What isthe answer of: 2/3 - 1/2
Kaylis [27]

Answer:

1/6

Step-by-step explanation:

first of all find the LCD of 3 and 2. The LCD would be 6.

2/3(2/2) - 1/2(3/3)

4/6 and 3/6

then you will subtract 4 and 3 and you end up with 1/6

5 0
3 years ago
Can ya'll help me? tehee :)
monitta
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Hope it helped
3 0
3 years ago
a teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
Alex Ar [27]

Answer:

Yes

Step-by-step explanation:

Given that a teacher prepares 26 tiles with 5 vowels numbered 1 and 21 consonants numbered 2.

The probability for drawing vowel =\frac{5}{26}

Prob for consonant =\frac{21}{26}

If number of trials is atleast 30 we can expect reliable results.

Here the results are recorded for 120 times at random.

Since number of trials is large, we can expect a reliable and accurate results representing the actual probability.

This is because more the number of trials, the less would be the margin of error i.edeviationfrom the expected probability would be minimum

8 0
3 years ago
Read 2 more answers
which graph represents the solution set of the system of inequalities? (is my selected answer correct, if not please help!!)
algol [13]

Answer:

the graph on the right-top

Step-by-step explanation:

Transferring an "x" to the right side in x+y\ge-3, we get y\ge -x-3

The system of inequalities is

\left \{ {{y

We have y=2x+2 - ascending function with a=2, b=2

b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.

y=-x-3 - descending function with a=-1, b=-3

y<2x+2 is an area below the ascending function and we see that on the left-

y\ge-x-3 is an area above the descending function

On the left-down we have an area above both functions, so we refuse this picture

Right-top is correct


7 0
3 years ago
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