For this case, the first thing you should do is to know the following transformation:
pi radians = 180 degrees
Applying the transformation we have:
(13pi / 6) * (180 / pi) = 390 degrees
Then, in quadrant 1 we have:
390 - 360 = 30 degrees
Answer:
13 pi / 6 as a function of an angle in quadrant i is:
30 degrees

5 0

4 years ago

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Suppose that the national average for the math portion of the College Board's SAT is 510. The College Board periodically rescale

Marta_Voda [28]

Answer:

a) 0.1587 b) 0.023 c) 0.1587 d) 1.15 e)-0.95

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 510

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score greater than 610)

P(x > 610)

$P( x > 610) = P( z > \displaystyle\frac{610 - 510}{100}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

b) P(score greater than 710)

$P(x > 710) = P(z > \displaystyle\frac{710-510}{100}) = P(z > 2)\\\\P( z > 2) = 1 - P(z \leq 2)$

Calculating the value from the standard normal table we have,

$1 - 0.977 = 0.023 = 2.3\%\\P( x > 710) = 2.3\%$

c)P(score between 410 and 510)

$P(410 \leq x \leq 510) = P(\displaystyle\frac{410 - 510}{100} \leq z \leq \displaystyle\frac{510-510}{100}) = P(-1 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1)\\= 0.500 - 0.159 = 0.341 = 34.1\%$

$P(410 \leq x \leq 510) = 34.1\%$

d) x = 625

$z_{score} = \displaystyle\frac{625 - 510}{100} = \displaystyle\frac{115}{100} = 1.15$

e) x = 415

$z_{score} = \displaystyle\frac{415 - 510}{100} = \displaystyle\frac{-95}{100} = -0.95$

8 0

3 years ago

The number of infielders on a baseball team is one less than three times the number of pitchers. if there are eleven infielders,

Delicious77 [7]

<span>let the number of pitchers be x

pitchers = x
infielder = 3x - 1

There are 11 infielders
3x - 1= 11
3x = 11 + 1
3x = 12
x = 4

There are 4 pitchers</span>

3 0

3 years ago

What is the surface area of the prism in square inches?

Nutka1998 [239]

Answer:

The answer is 252 square inches

7 0

3 years ago

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