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Evgesh-ka [11]
3 years ago
5

If your answer is correct u will get brainliest

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

D, 13

Step-by-step explanation:

The answer is 13 cause to equal 32 just like the other angle which is 32 so that angle should sum up 32

32 - 6 = 26

26 divided 2 = 13

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Select the most precise and correct definition of parallel lines from among those that are given. Choose 1 answer: Choose 1 answ
Stella [2.4K]

Answer:

B

Step-by-step explanation:

For two lines to be parallel they must

1. not intersect

2. Be in the same plane

4 0
4 years ago
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de
Svetach [21]

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

x=507\\n=32601\\\text{Confidence level }=99\%

The sample proportion is:

\hat p=\frac{x}{n}=\frac{507}{32601}=0.016

The critical value of <em>z</em> for 99% confidence level is, <em>z</em> = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}

    =0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

6 0
3 years ago
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. H
Sergeeva-Olga [200]

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)

4 0
3 years ago
It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra
aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.  

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

P(R/TH)=\frac{P(R y TH)}{P(TH)}

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

P(R/TH)=\frac{0.45}{0.6} =0.75

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0
3 years ago
If 6n = 0, what does n equal?
Stells [14]

Answer:

6n=0

n=0/6

n=0

hope it helps.

3 0
3 years ago
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