The figure that this question is referring to is attached. We must use the Law of Sines to solve this question, which is as follows:
a/sinA = b/sinB = c/sinC
This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180<span>º - x. We can now apply the law of sines to this data.
35/sin120 = 30/sin(180-x)
sin(180-x) = (30/35)(sin120)
sin(180-x) = 0.742
sin-1(sin(180-x)) = sin-1(0.742)
180 - x = 48</span><span>º
x = 132</span><span>º
</span>
We have already assigned x = ∠ADC; therefore,
∠ADC = 132<span>
º.</span>
Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
<h3>What does the Central Limit Theorem state?</h3>
It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean 
and standard deviation 
, as long as 
and 
.
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
Answer: $52.50
Step-by-step explanation:
There is only 12 months and the interest compounds yearly so I guess it is just
3500 x 1.5% = 3500 x 1.5 / 100 = 35 x 1.5 = $52.50
Rounding is not needed
Answer:
A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .
A line is decreasing if it goes down from left to right. The slope is negative, i.e. m < 0 {\displaystyle m<0} .
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
Answer:
y=5/3 is the only real solution
Step-by-step explanation:
Solve for y over the real numbers:
11 y^2 - 19 y - 10 = -4 y^2
Add 4 y^2 to both sides:
15 y^2 - 19 y - 10 = 0
The left hand side factors into a product with two terms:
(3 y - 5) (5 y + 2) = 0
Split into two equations:
3 y - 5 = 0 or 5 y + 2 = 0
Add 5 to both sides:
3 y = 5 or 5 y + 2 = 0
Divide both sides by 3:
y = 5/3 or 5 y + 2 = 0
Subtract 2 from both sides:
y = 5/3 or 5 y = -2
Divide both sides by 5:
Answer: |
| y = 5/3 or y = -2/5
