The units of the first number are "dollars." The second number has no apparent units, so we'll consider it a "pure number". This means the product will have the units of "dollars."
The two numbers together have 2+1=3 digits to the right of the decimal point(s). This means the final product will have 3 digits to the right of the decimal point. Since one of the factors is "dollars," it seems likely the result will need to be rounded to cents (2 decimal places). We'll provide the answer both ways (with 3 and with 2 decimal places.)
With these preliminaries out of the way, we have the problem of multiplying
... 79 × 37
There are numerous methods taught for finding this product. In the end, they all amount to multiplying every digit in one number by every digit in the other number and adding the results with appropriate place values. Several methods use 2-dimensional tables or arrays in their process. Here, we will use text on a line.
... 79 × 37 = (70 +9) × (30 +7)
... = 70×30 + 9×30 + 70×7 + 9×7
... = 2100 + 270 +490 + 63
... = 2100 +760 +63
... = 2860 +63
... = 2923
Putting the decimal point 3 places from the right, and adding the dollar sign gives our product:
... $0.79 × 3.7 = $2.923 ≈ $2.92
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 14), thus
y = a(x - 8)² - 14
To find a substitute (5, 13) into the equation
13 = a(5 - 8)² - 14
13 = a(- 3)² - 14
13 = 9a - 14 ( add 14 to both sides )
27 = 9a ( divide both sides by 9 )
a = 3
Thus
y = 3(x - 8)² - 14 → C
Answer:
24,26,28
Step-by-step explanation:
78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers
Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09
Answer:
7.47
Step-by-step explanation: 7.71-0.24=7.47 which is how you find how much more the baby weighed than the kitten
