Answer:
CI(99%) = ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
Critical value z(at 99% confidence) = z(0.005) = 2.58
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 1.5
Standard deviation r = 0.58
Number of samples n = 7
Confidence interval = 99%
Critical value z(at 99% confidence) = z((1-0.99)/2)
z(0.005) = 2.58
Substituting the values we have;
1.5+/-2.58(0.58/√7)
1.5+/-2.58(0.2192)
1.5+/-0.565536
1.5+/-0.57
= ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
<u>Answer-</u>
The equation that describes the pattern is,

<u>Solution-</u>
P = Number of minutes Rodney spends practicing playing the piano
G = Number of minutes Rodney spends practicing playing the guitar
Taking P on x axis and G on y axis, the points are,

Taking first two points i.e
, the line equation will be,






Putting the other two points i.e
in the equation, they also satisfy the equation. That means they are also on the same line
.
From the result, it is evident that P and G are linearly related.
Answer(s):
Revising the area of a circle formula
We already know that the area of a circle is expressed as
.
- The "r" variable is known as the radius.
<h2><u>
Solving each problem given:</u></h2><h3>
Solving Problem 4:</h3>
We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

<u>Take π as 22/7</u>
<em> </em>



<h3>Solving Problem 5:</h3>
In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

<u>Take π as 22/7</u>



<h3>Solving Problem 6:</h3>
We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

<u>Take π as 22/7</u>




Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>
Learn more about area of circles: brainly.com/question/12414551
Answer:
60%
Step-by-step explanation:
Just divide 15 by 25 and then move the decimal point 2 places to the right. Then turn that number into a percentage.
Answer:
Step-by-step explanation:
A parallel line will have the same slope as the reference line. In this case, I don't see the "given line" as promised in the question. If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.
<h3>
<u>If this slope is correct</u>, we can start the equation for the parallel line that goes through point (-3,2) by starting with:</h3><h3 /><h3>y = 5x + b</h3><h3 /><h3>We need a value of b that forces the line to go through point (-3,2). We can do that by using the given point in the equation and solving for b:</h3><h3>y = 5x + b</h3><h3>2 = 5(-3) + b</h3><h3>b = 17</h3><h3 /><h3>The parallel line to y=5x+3 is</h3><h3>y = 5x + 17</h3><h3 /><h3>See attachment.</h3><h3 /><h3 /><h3 />