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GarryVolchara [31]
2 years ago
8

Following calculus questions. Thanks so much

Mathematics
1 answer:
Brrunno [24]2 years ago
7 0

The vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be:

B. x = 0

C. x = +-2π

<h3>How to illustrate the information?</h3>

It should be noted that the function that's given from the information illustrated is given as:

y = 3 for (x/2) - 4

It should be noted that there is no phase shift and the period is 2π.

It should be noted that the vertical asymptote will be x = 3πn where no is represented as the integer at n = 0, 1, and -1.

Therefore, the vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be x = 0 and x = +2π.

Learn more about calculus on:

brainly.com/question/24430269

#SPJ1

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The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
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a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

 

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

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P = 0.6045

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0
3 years ago
In kite WXYZ, m∠ZWY=41∘ and m∠XYW=11∘.<br><br> What is m∠WZY?<br><br> Enter your answer in the box.
Elina [12.6K]

Applying the properties of a kite, m∠WZY = 128°.

<h3>Properties of a Kite</h3>
  • The diagonals of a kite bisect each other perpendicularly.
  • The main diagonal bisects the opposite angles.

Given:

m∠ZWY=41∘

m∠XYW=11∘

m∠WZY = (180 - 90 - 41) + (180 - 90 - 11)

m∠WZY = 49 + 79

m∠WZY = 128°

Therefore, applying the properties of a kite, m∠WZY = 128°.

Learn more about kite on:

brainly.com/question/25776644

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3 years ago
The following image shows a cladogram for some marine animals.
mafiozo [28]

Answer:

D. A crab and a shark both have skeletons.

Step-by-step explanation:

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3 years ago
Students who
kondor19780726 [428]
Answer:
520 :)

Reason:
65%-> .65
.65 x 800=
520
8 0
2 years ago
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