A circular tabletop has a circumference of 94.2 inches. What is its area? Approximate Π as 3.14.
2 answers:
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Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = <u>playing time of jazz CDs</u>
SO, X ~ Normal()
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
- 68% of the data values lie within one standard deviation points from the mean.
- 95% of the data values lie within two standard deviation points from the mean.
- 99.7% of the data values lie within three standard deviation points from the mean.
Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = = -1
For 59 minutes, z-score is = = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
Answer:
B, C
Step-by-step explanation:
The equation of a line can be given by y -y₁= m(x -x₁), where m is the slope. This is also known as the point-slope form.
Slope of the line
= -4
<em>Substitute m= -4 into the equation:</em>
y -y₁= -4(x -x₁)
<em>Substitute a pair of coordinates into (x₁, y₁):</em>
Let's start by substituting (1, 2).
y -2= -4(x -1)
This gives us the same equation as D, making D an incorrect option. Note that the question asks for which is not the correct equation.
Let's change the above into the slope-intercept form, where by y is the subject of formula.
<em>Start by expanding the right-hand side:</em>
y -2= -4x +1
<em>+</em><em>2</em><em> on both sides:</em>
y= -4x +3
This equation is not the same as C. C is thus the correct option.
Let's check for options A and B.
The equation in option B is not the correct equation either as they have substituted (2, 1) instead of (1, 2) into (x₁, y₁). Thus, option B is also correct.
y -y₁= -4(x -x₁)
Substitute (3, -6) into (x₁, y₁):
y -(-6)= -4(x -3)
y +6= -4(x -3)
This is the same as option A, making option A incorrect too.