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:
4356
use a calculator
<h3>
Answer:</h3>
- Not appropriate
- Appropriate
- Not appropriate
<h3>
Step-by-step explanation:</h3>
1st Question
The transformation g(x) = f(x -h) +k translates a function h units to the right and k units upward. Your expression has (h, k) = (-2, -4), so the graph of the function will be translated 2 units left and 4 units down.
A distinctive feature of the cube root curve is the vertical spot normally at point (0, 0). You're looking for the graph that has that relocated to (-2, -4). Graph A matches that.
2nd Question
- The method described is a reasonable one for choosing a random sample of theater patrons, but there is no reason to believe theater patrons are representative of all drivers in the city. The method is not appropriate.
- Provided the persons in the study are representative of the demographic of interest, assigning them to study groups based on the flip of a coin is appropriate.
- The variable under study is previous exposure to chicken pox, so members of the study groups need to be chosen on that basis. Participants in the study need to be carefully selected to control for all other variables. The group assignment described is not appropriate.
{<em>q</em>, <em>r</em>, <em>s</em>} consists of 3 elements, so there are 2³ = 8 possible subsets.
• empty set: { }
• every possible singleton set: {<em>q</em>}, {<em>r</em>}, {<em>s</em>}
• every possible pair: {<em>q</em>, <em>r</em>}, {<em>q</em>, <em>s</em>}, {<em>r</em>, <em>s</em>}
• the set itself: {<em>q</em>, <em>r</em>, <em>s</em>}