Answer:
48x³y²
Step-by-step explanation:
The LCM of the numbers 12 and 16 is their product divided by their greatest common factor: (12·16)/4 = 48.
The LCM of the xy terms is the product of highest powers of x and y. Both those powers are in the first term, so the LCM of the given terms is ...
48x³y²
Answer:
0.79 ; 0.753
Step-by-step explanation:
Given that:
Students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400 :
≥ 5 hours review = 0.85
Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400
< 5 hours = 0.65
70% (0.7) of business students spend atleast 5 hours review time
A.) probability of scoring above 400
(Proportion who spend atleast 5 hours review time * 0.85) + (Proportion who do not spend atleast 5 hours * 0.65)
Proportion who do not spend atleast 5 hours = (1 - proportion who spend atleast 5 hours) = 1 - 0.7 = 0.3
Hence,
P(scoring above 400) = (0.7 * 0.85) + (0.3 * 0.65) = 0.595 + 0.195
= 0.79
B.) probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
P(spent ≥5 hours review | score above 400) :
P(spent ≥5 hours review) / P(score > 400)
(0.7 * 0.85) / 0.79
0.595 / 0.79
= 0.753
6x + 8y = 24
6(4) + 8(0) = 24
1. 9.355 × 
can be used to express the age of the dinosaur fossil.
Step-by-step explanation:
Step 1; To determine which value is the closest to 93,550,000 we must calculate how much the 4 options equal. If there are decimals in the number, they are moved from the decimal part of the number to the integer part with every power of 10 i.e. 2.4 × 10 = 24, 2.44 × 10² = 244.
Step 2; Now we determine how much the 4 options equal.
1. 9.355 × = 93,550,000.
2. 9 × = 90,000,000.
3. 9.36 × = 93,600,000.
4. 9.3 × = 93,000,000.
Out of the four options, option 1 equals the value of 93,550,000. So option 1 can be used to express the age with the highest precision.
1. Regroup terms
x(x+5)=104
2. Expand
x^2+5x=104
3. Move all terms to one side
x^2+5x-104=0
4. Factor x^2+5x-104
(x-8)(x+13)=0
5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8
6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104
The dimensions are 13 and 8, have a nice day :D
