Given:
The graph of a function .
To find:
The interval where .
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for and .
The function between x=0 and x=3.6 lies below the x-axis. So, for .
Now,
For , the graph of h(x) is above the x-axis. So, .
For , the graph of h(x) is below the x-axis. So, .
For , the graph of h(x) is below the x-axis. So, .
Only for the interval , we get .
Therefore, the correct option is A.
33
_____
16 | 530
48
-------
50
48
----------
2
quotient = 33
remainder = 2
Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal()
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( > ) = P(Z > 1.18) = 1 - P(Z 1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
Top triangle((6X9)/2)=27square 7x9=63 parallelogram 7X9=69 right triangle ((7X6)/2)=21 so 27+63+63+21=174