Answer:
We want to construct a confidence interval at 99% of confidence, so then the significance level would be 
and the value of 
. And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:
And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
Step-by-step explanation:
For this case we have the following info given:
We want to construct a confidence interval at 99% of confidence, so then the significance level would be and the value of . And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:
And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
<h3>What is a polar coordinate?</h3>
A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
Read more on polar coordinates here: brainly.com/question/3875211
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Easy. the ten thousand here is 4. Since 2, the number below, is less than 5...
We round it down.
Answer: 840000
The complete inequality is -2 < x < 35
<h3>How to determine the range of value of x?</h3>
The figure attached to the question is the given parameter
From the figure, we understand that:
Side length BA and side length BD are equal.
This is represented as:
BA = BD
Because the side length AC is less than the side length CD, then it means that:
The measure of the angle ABC is less than the measure of the angle CBD
This is represented as:
∠ABC < ∠CBD
Where
ABC = x + 2
and
CBD = 37
Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD
So, we have:
x + 2 < 37
Subtract 2 from both sides of the inequality
x + 2 - 2 < 37 - 2
Evaluate the differences
x < 35
From the question, we have the following incomplete inequality
-2 < x < [ ]
Complete the inequality as follows:
-2 < x < 35
Hence, the complete inequality is -2 < x < 35
Read more about angles at:
brainly.com/question/24839702
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That would be exponential growth.
Total = principal * (1+rate)^time
Total = 500 * (1+.035)^5
<span><span><span>Total = 593.84</span></span>
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