Answers:
Step-by-step explanation:
<em>We must simplify each option to see if they are equivalent to
.</em>
<em>Lets try A.</em>
can be simplified to
by dividing both the numerator and denominator by 3.
÷ 
A is correct!
<em>Lets try B</em>
simplifies to
. However, because this answer is not negative, it is not equivalent.
<em>Lets try C</em>
There is a negative in the numerator, making this fraction negative. So yes,
.
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
<em>Lastly, Lets try D</em>
There is a negative in the denominator, so this fraction is negative.
can be simplified by dividing by 3 to
.
÷3 = 
D is correct!
<em />
Answer:
D. 4,-1
Step-by-step explanation:
The mathmatical way to solev it is to find the linear equation and plug in the points, but i just looked at the graph to see which point was in the shaded region.
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.
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.