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Eva8 [605]
3 years ago
14

In analyzing this diagram, which statement represents a crucial step to proving the pythagorean theorem using this diagram?

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

D: recognize that BOTH of the large squares contain 4 right triangles with base a and height b

Step-by-step explanation:

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Is 6 pints greater than, less than, or equal to 60 fluid ounces
xz_007 [3.2K]
6 pints is greater than 60 fluid ounces =)
8 0
4 years ago
Read 2 more answers
According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64
Veseljchak [2.6K]

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068

Republican and from a household that makes at least $50,000.

55% of 64%. So

P(A \cap B) = 0.55*0.64 = 0.352

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

4 0
4 years ago
What is the period of the sinusoid given by y=-3cos(2pi/5x)? Is it 2/5? Please explain.
alex41 [277]
Y = a sin b x
amplitude = a
period = 2π /b.

<span>y = 6 sin x
a = 6
b = 1
</span>
a, the amplitude, represents the highest point a graph reaches;
a = 6

The period represents the length of a cycle-

the period = 2π /b = 2π/1 = 2π

6 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%20%7B%205%20x%20%5E%20%7B%202%20%7D%20-%2029%20x%20-%206%20%7D%20%7B%203%20x%20%5E%20%
olganol [36]

Answer:

Step-by-step explanation:

Vertical Asymptote: x=2Horizontal Asymptote: NoneEquation of the Slant/Oblique Asymptote: y=x 3+23 Explanation:Given:y=f(x)=x2−93x−6Step.1:To find the Vertical Asymptote:a. Factor where possibleb. Cancel common factors, if anyc. Set Denominator = 0We will start following the steps:Consider:y=f(x)=x2−93x−6We will factor where possible:y=f(x)=(x+3)(x−3)3x−6If there are any common factors in the numerator and the denominator, we can cancel them.But, we do not have any.Hence, we will move on.Next, we set the denominator to zero.(3x−6)=0Add 6 to both sides.(3x−6+6)=0+6(3x−6+6)=0+6⇒3x=6⇒x=63=2Hence, our Vertical Asymptote is at x=2Refer to the graph below:enter image source hereStep.2:To find the Horizontal Asymptote:Consider:y=f(x)=x2−93x−6Since the highest degree of the numerator is greater than the highest degree of the denominator,Horizontal Asymptote DOES NOT EXISTStep.3:To find the Slant/Oblique Asymptote:Consider:y=f(x)=x2−93x−6Since, the highest degree of the numerator is one more than the highest degree of the denominator, we do have a Slant/Oblique AsymptoteWe will now perform the Polynomial Long Division usingy=f(x)=x2−93x−6enter image source hereHence, the Result of our Long Polynomial Division isx3+23+(−53x−6)

4 0
3 years ago
Please please help help please please help ASAP
ioda
(-3,4) is going to be ur answer ;)
4 0
3 years ago
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