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Answer:
my answer would be that
x = 17.91cm
(i'm not sure about it either but it's worth a try) !!
Step-by-step explanation:
so first off, using the equation given,
" c² = a² + b² — 2ab cos C "
we substitute the values in as,
a = 16
b = 30
then for C is the angle given, which is 30°
so the equation is now,
c² = (16)² + (30)² — 2(16)(30) cos 30°
now, you solve the two squared numbers and the back equation, also known as " 2ab cos C " with your scientific calculator.
so it now equals to,
c² = 256 + 900 — 960(0.87)
c² = 320.8
at last, when you have " c² = 320.8 " ,
remember to square root the answer so you have a smaller value.
so,
c equals to
your final answer for the x value will be 17.91
(i hope this helps!)
Answer:
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6
Step-by-step explanation:
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
the average rate of change is equal to
step 1
Find the average rate of change of function h(x) over interval [3,5]
Looking at the third picture (table)
Substitute
step 2
Find the average rate of change of function f(x) over interval [3,6]
Looking at the graph
Substitute
step 3
Find the average rate of change of function g(x) over interval [2,3]
we have
Substitute
therefore
In order from least to greatest according to their average rates of change over those intervals
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6
Answer:
- 17,750
- 1737
Step-by-step explanation:
A suitable table or calculator is needed.
One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...
0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16
__
The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...
0.66799·26,000 = 1737 . . . . . below 19.76
_____
<em>Comment on the first number</em>
The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.
