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Virty [35]
2 years ago
14

Given sin 0 and angle 0 is in Quadrant II, what is the exact value of cos 0 in

Mathematics
1 answer:
Anna007 [38]2 years ago
4 0

sin = 3/7

1 = sin²0 + cos²0

cos²0 = 1 - 9/49

cos²0 = 40/49

cos0 = √(40) / 7

since its in Quadrant 2 the sin is positive and cos is negative

cos0 = - √(40) / 7

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The mean height of women in a country​ (ages 20minus​29) is 64.2 inches. A random sample of 75 women in this age group is select
padilas [110]

Answer:

z=\frac{65-64.2}{\frac{2.84}{\sqrt{75}}} = 2.440

And we can find the probability using the complement rule and with the normal standard table like this:

P(Z>2.440) =1-P(Z

The probability that the mean height for the sample is greater than 65 inches is 0.007

Step-by-step explanation:

Let X the random variable that represent the women heights of a population, and we know the following parameters

\mu=64.2 and \sigma=2.84

We are interested on this probability

P(X>65)

Since the sample size selected is 75>30 we can use the centrel limit theorem and the appropiate formula to use would be the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we find the z score for 65 inches we got:

z=\frac{65-64.2}{\frac{2.84}{\sqrt{75}}} = 2.440

And we can find the probability using the complement rule and with the normal standard table like this:

P(Z>2.440) =1-P(Z

The probability that the mean height for the sample is greater than 65 inches is 0.007

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3 years ago
Hi guys this is difficult so my friend is super sick and he wants to grow like Mr.Beast and it would help him so much if you sub
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Answer:

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Step-by-step explanation:

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Which is the best definition of mathematical proof?
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Answer:

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Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a to
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C. If Biff is rational, and has no intention of winning the hot dog eating contest, what is the optimal number of hot dogs he wi
Nonamiya [84]

Answer:

<u>Optimal number of hot dogs:  Eight </u>

<u>Maximum utility: Fifty five</u>

Correct statement and question:

Biff's Hot Dog Utility  

Hot Dogs          Total Utility (utils)     Marginal Utility (utils)

 5                            48                               —

 6                            52                              4

 7                            54                              2

 8                            55                              1

 9                            54                            - 1

10                             51                             - 3

If Biff is rational (and has no intention of winning the hot dog eating contest), what is the optimal number of hot dogs he will eat and what will his maximum level of utility be?

Source

Question that can be found at coursehero, but can't provide the exact link because it would be rejected by brainly if I write it down.

Step-by-step explanation:

What is the optimal number of hot dogs he will eat and what will his maximum level of utility be?

<u>According to the information provided in the table above, the optimal number of hot dogs Biff will eat is 8. The maximum utility he can reach eating 8 hot dogs is 55. After 8, the total utility start to decrease because the marginal utility starts to be negative.</u>

7 0
3 years ago
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