Given two functions are
f(x) = 2 cos(x)
g(x) = 3 sin(x+
)
We know that the maximum value of cos x and sin x is always 1
y= maximum of cos = 1
y= maximum of sin =1
f(x) = 2 cos(x)
y= 2 (max of cos) = 2(1) = 2
g(x) = 3 sin(x+
)
y= 3 (max of sin) = 3(1) = 3
g(x) = 3 sin(x+
) has the maximum value.
<span>Given:
xbar = 20 min
standard deviation = 8 min
total sample = 240
Required:
how many gym members are expected to spend 4 min and 36 min on a treadmill today
Solution:
sd</span>² = (∑(x - xbar)²) / N - 1
there are 42 gym members at 4 minutes and 200 gym members in 36 minutes.
Not A.(17 is a common factor)
B. only common factor is 1
not C (7 is a common factor)
D. only common factor is 1
Both B and D are relatively prime.
Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:


so:

x=5×4
x=20
and...

y=3×5
y=15
The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.
<h3>Which measure is used when the population parameters are unknown?</h3>
A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.
Read more on t-test;
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