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xenn [34]
3 years ago
8

Determine the period of the function g(x) = (cos ;)

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

6\pi

Step-by-step explanation:

The period of a sinusoidal function in the form a * cos (b (x + h)) + m is \frac{2\pi }{|b|}. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into \frac{2\pi }{|b|} is 2\pi/1/3 which is 6\pi.

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Lapatulllka [165]

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3 years ago
If x is 4, what is:<br> x + 5<br><br><br> 3x:
kirill [66]

Answer:

1) x+5

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9

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Step-by-step explanation:

5 0
3 years ago
Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
3 years ago
Find the value of x.<br><br> log 3 x = 4<br><br> A.) 7<br> B.) 12<br> C.) 27<br> D.) 81
lakkis [162]

Hello from MrBillDoesMath!

Answer:

Choice D, 81

Discussion:

By log 3x = 4 I presume that "3" is the base not a multiplier of x. Assuming it is the base, then the equation is equivalent to

x = 3^4

  = 81

This is Choice D.


Thank you,

MrB

8 0
3 years ago
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