Answer:
And replacing the info from the problem we have:
So then the best estimator for the true proportion p is given by or equivalent to 3.2 %
Step-by-step explanation:
We want to find a confidence interval for a proportion p who represent the parameter of interest.
The confidence interval would be given by this formula:
For this case the 90% confidence interval is given by (1.8%=0.018, 4.6%=0.046) after apply the last formula
Since the confidence interval is symmetrical we can estimate the point estimator of the true percentage with this formula:
And replacing the info from the problem we have:
So then the best estimator for the true proportion p is given by or equivalent to 3.2 %
Answer:
Domain = x ≥ 0
Range = y ≥ 20
Step-by-step explanation:
The equation in slope-intercept form would look like this:
y = 4x + 20
The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.
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In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.
So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.
The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.
The value of x is x=2.57338 and x=−0.906718
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
3x²-5x-7=0
Using the discriminant method,
a = 3, b = -5, and c = -7
x= -b± √b²-4ac / 2a
x= 5 ± √25 + 84/ 6
x= 5± √ 109
Hence, x=2.57338 and x=−0.906718
Learn more about this concept here:
brainly.com/question/24727211
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Answer:
38°
Step-by-step explanation:
An angle bisector divides the angles into 2 equal parts. Since ray UW is the angle bisector of ∠VUT, it divides ∠VUT into two equal angles ∠VUW and ∠WUT
We are given the measures of both angles.
mVUW = (4x + 6)°
mWUT = (6x – 10)°
Since,
mVUW = mWUT, we can write:
4x + 6 = 6x - 10
6 + 10 = 6x - 4x
16 = 2x
x = 8
Using the value of 8 in equation of mWUT, we get:
mWUT = (6x – 10)°
= 6(8) - 10
= 48 - 10
= 38°
Thus, the measure of WUT is 38°