<u><em>Exercise 1: x is 20°.</em></u>
<u><em>Exercise 2: x= 6.</em></u>
<u><em>Exercise 3: x= 5.5.</em></u>
<h2>Step-by-step explanation:</h2><h2><u>Exercise 1.</u></h2><h3>1. Set up an equation.</h3><em>If we where to addition both of the angles presented in the image, they have to sum up 180°, because is half a turn. Using this logic, we may add up both of the angles and equal them 180°:</em>
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<em>Considering that the result of the equation was 20, there's enough evidence to sustain that the measure of angle x is 20°.</em>
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<h2><u>Exercise 2.</u></h2><h3>1. Create an equation.</h3><em>If C is the midpoint of AQ, then AC must measure the same as CQ, hence, AC=CQ. In numerical terms:</em>
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x= 6.
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<h2><u>Exercise 3.</u></h2><h3>1. Create an equation.</h3><em>It's basically the same as exercise 2, except that this time we are equating to an expression with a variable:</em>
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x= 5.5.
Answer:
18.84 estimated, 6π exactly
Step-by-step explanation:
Hi!
<u>The formula for finding the circumference of a circle is 2πr:</u>
In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.
6 ÷ 2 = 3
So we have 2π × 3 to solve.
2π × 3 = 6π
We can estimate the circumference by multiplying by 3.14.
6 × 3.14 = 18.84
(actually multiplying by π gives 18.849... which is pretty close!)
Thus, the circumference is .
Hope this helps!
Answer:
So then the correct answer would be:
B) .9996
Step-by-step explanation:
The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and
And we want this probability:
So we see that we satisfy the conditions and then we can apply the approximation.
If we appply the approximation the new mean and standard deviation are:
And then
And we are interested on the following probability:
So then the correct answer would be:
B) .9996