Answer: False, there are actually 900 different three-digit numbers
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Explanation:
The three digit numbers span from 100 to 999, including both endpoints.
This means we have 999-100+1 = 900 different three-digit numbers.
You subtract the endpoints (large-small) and add 1 to include the lower endpoint.
Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537
company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
Answer:
Given Below
Step-by-step explanation:
v = u+at
u+at = v
at = v-u
t = v-u/a
Hope this helps
Answer:
The value of P(z<1.00)=0.8413
Step-by-step explanation:
Using a standard normal table, the area under the standard normal curve below the given value of z=1 is:
z <u> .00</u> .01
0.9 0.81594 0.81859
<u>1.0</u> <u>0.84134</u> 0.84375
1.1 0.86433 0.86650
P(z<1.00)=0.84134
Rounded to 4 decimal paces
P(z<1.00)=0.8413
20 kilograms is 200 hectograms
The limit is 200 hectograms and his suitcase is 220 hectograms.
Subtract 220-200 and his suitcase is over by 20 hectograms.
He will have to remove 20 hectograms
