(3782 - 192) : 2 = 1795 (first number)
1795 + 192 = 1987 ( second number)
--------------------------
1987 - 1795 = 192
1987 + 1795 = 3782
Answer:
Is a consistent independent system
Step-by-step explanation:
we have
-----> isolate the variable y
----> equation A
-----> isolate the variable y
---> equation B
Compare equation A and equation B
We can affirm that
The slopes are not equal ( so the lines are not parallel)
The lines are different
The product of their slopes is equal to -1 (the lines are perpendicular)
so
The system of equations has only one solution
therefore
Is a consistent independent system
<span>D. 11.77 grams, because (7.05 ⋅ 1.67) ⋅ (1023 ⋅ 10-24 ) = 11.7735 Question 16
</span>
Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups
Answer: $2250
Step-by-step explanation:
<u>Given information</u>
Dimension of the room = 20 feet × 15 feet
Cost of tiles = $7.50 / ft²
<u>Derived formula from the given information</u>
Total cost = Floor area × Cost of tiles
<u>Substitute values into the formula</u>
Total cost = Floor area × Cost of tiles
Total cost = (20 × 15) × (7.5)
<u>Simplify by multiplication</u>
Total cost = 300 × (7.5)

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