(4x100)+(1x10)+(2x1)+(6x1/10)+(3x1/100)+(8x1/1000)
Answer:
probability that he or she will answer at least 4 problems correctly = 0.5
Step-by-step explanation:
probability that he or she will answer at least 4 problems correctly is given as;
P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)
Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1
Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]
= [(35 x3)/252 ] + [21/252]
= [ 105/252 ] + [ 21/252 ]
= 126 / 252
= 0.5
This question is incomplete.
Complete Question
The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.
Answer:
3x² - x +7
Step-by-step explanation:
Using the long division method:
We have :
Divisor : 6x³+7x²+11x+21
Dividend : 2x+3
Quotient : the length (in feet) of the shed = ???
Hence, we solve below
6x³+7x²+11x+21 ÷ 2x + 3
3x² -x + 7
______________________
2x+3 l 6x³+7x²+11x+21
6x³+9x²
__________
-2x²+11x
-2x²-3x
__________
14x+21
14x+21
_______
0
Therefore, an expression for the length (in feet) of the shed is 3x² - x +7
Answer:
$60
Step-by-step explanation:
Let's say we need t $2 bills and v $5 bills.
We need 9 more $2 bills than $5 bills, so:
t = 9 + v
We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:
5v + 45 = 2t
Plug v + 9 in for t in 5v = 2t + 18:
5v = 2t + 18
5v = 2 * (9 + v) + 18
5v = 18 + 2v + 18
3v = 36
v = 12
We have 12 $5 bills, so that total cost is 12 * 5 = $60.
<em>~ an aesthetics lover</em>
<span>Grouping symbols organize an algebra problem that contains multiple groups. Algebraic grouping symbols.That is parentheses, brackets, braces, radicals, and fraction lines.Also show where a group starts and ends, and help to establish the order used to apply math operations.</span>
