Answer:
a) 5
Step-by-step explanation:
Put them into slope intercept form AKA y=mx+b: -5=m1+b <em>and</em> 5=m3+b
Subtract the equations to get -10=-2m
Divide both sides by two to get: 5=m
Hope this helps! (^-^)
Answer:
24
Step-by-step explanation:
22 - 8 = 14
14/2 = 7
Pythagoras theorem
25 squared -7 squared = 576
square root of 576 = 24
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:
7/8
Step-by-step explanation:
because 1 - ⅛ = 7/8. which would mean the answer is 7/8
Answer: Maximum height = 105 feet
And, It takes 9/4 seconds to reach that point.
Step-by-step explanation:
Here the given function that shows the height of the pumpkin,
--------(1)
Where t is the time in second.
Differentiating equation (1) with respect to t,
We get, 
Again differentiating above equation with respect to t,
We get, 
For maximum or minimum, 



At t = 9/4 , h''(t) = Negative value,
Therefore, At t = 9/4 seconds, h(t) is maximum,
And, the maximum value is,



Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds