Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer:
The probably genotype of individual #4 if 'Aa' and individual #6 is 'aa'.
Step-by-step explanation:
In a non sex-linked, dominant trait where both parents carry and show the trait and produce children that both have and don't have the trait, they would each have a genotype of 'Aa' which would produce a likelihood of 75% of children that carry the dominant traint and 25% that don't. Since the child of #1 and #2, #5, does not exhibit the trait, nor does the significant other (#6), then they both must have the 'aa' genotype. However, since #4 displays the dominant trait received from the parents, it is more likely they would have the 'Aa' genotype as by the punnet square of 'Aa' x 'Aa', 50% of their children would have the 'Aa' phenotype.
The value of angle Y is -120° because you know that angle S is half of angle Y and -60*2 equals -120°. Hope that helps!
Hi there!
Let's solve this equation step by step!

First add 7 to both sides.

Next we need to take a look at the meaning of the stripes between our variable. Those stripes mean we are dealing with an absolute value function. The absolute value stripes make everything between the stripes positive; also when we plug in a number. In this particular question we can plug in both -13 and 13 at the position of n, because when -13 is made positive, it fulfils the equation.
Hence,

or

~ Hope this helps you!
Answer:
The expected amount for a duration of 20 weeks is $9.4
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Step-by-step explanation:
Read attachment to understand the complete question
From the question, we have the following given parameters:
x = Amount paid for a second movie
--- Expected value of x
--- Standard deviation of x
Required
Determine the total amount paid for a second movie for 20 weeks
The required implies that we calculate the expected value for a duration of 20 weeks.
i.e.
If

Then:

Substitute 20 for n

Substitute 0.47 for E(x)


<em>Hence, the expected amount for a duration of 20 weeks is $9.4</em>