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ANTONII [103]
3 years ago
15

Which of the following best explains how this relationship and the value of sin theta can be used to find the other trigonometri

c values?

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

OPtion I is right

Step-by-step explanation:

Once we know sin of an angle, and it lies in II quadrant, we know that

cos, sec, tan and cot would be negative but csc will be positive.

So use the fact that

sin^{2}t+cos^{2} t=1\\cost =-\sqrt{1-sin^2 t}

Thus cos is obtained using negative square root.

Now tan = sin/cos, and sec = 1/cos:

cot =1/tan and csc =1/sin

Thus all value can be obtained easily

So option I

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Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women
loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 65, \sigma = 2.5

By the central limit theorem, the sample of 16 will have:

\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0
3 years ago
8 feet, 2 inches plus 3 feet, 3 inches equals 3 yards, 3 feet, 5 inches. true or false??
xxTIMURxx [149]

Answer:false

Step-by-step explanation:

It would have to be equally to 3yards 2feet and 5 inches

3 0
3 years ago
What is the set fee, or initial value, of this function
Ber [7]
Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = \frac{y2-y1}{x2-x1}=  \frac{40-25}{50-20} = 0.5

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)
6 0
3 years ago
Given <br><br> A. 88<br> B. 64<br> C. 92<br> D. 52
victus00 [196]
Maybe 88 not sure that is the givin
5 0
3 years ago
Steve,Jerry and Ron were paid $29.25 to remove garden gnomes. They each worked 4 hours, exempt for Ron, who was 1 hour late. How
Alenkasestr [34]
Ron should receive $7.98. Jerry and Steve each worked for 4 hours, while Ron was one hour late, so he worked for 3 hours. Together, they worked for 4*2+3=11 hours, receiving $29.25 in total. Each hour should be paid 29.25/11=2.66 dollars. Ron worked for three hours, so he should receive 3*2.66=7.98 dollars. 
5 0
3 years ago
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