It's false due to the squares being reduced to their minimum values.
34.56%. This is a binomial probability that can efficiently be calculated using the following formula: Here, n signifies the total number of trials (in this case, 4), x denotes the number of "successes" (which is 3), p is the success probability (60% or 0.6), and q indicates the failure rate (1 - p, thus 0.4). Plugging these values into the formula yields the solution: in percentage form, the probability is found to be 34.56%.
The result I found is 32.761%. Percentage represents any fraction expressed out of 100. It's calculated using the formula: If A is to be expressed as a percentage of B, the formula is A/B * 100. In this case, the paid price for the sweater is $36.20 and the original price is $90.50. We endeavor to find out what percentage reflects the sale price of the sweater. Mathematically, this can be framed as what is 36.20% of 90.5, which translates to (price paid/original price) * 100, and mathematically results in ($36.20/$90.50) * 100 = 32.761. Thus, this indicates that the sweater was sold for 32.761% off its original price.
Response:
Dimensions of the rectangular fence:
x = 14 ft
w = 7 ft
A = 98 ft²
Detailed explanation:
Dimensions of the rectangular fence:
x = length, and w = width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain
(3b + 2)² = 16. By taking the square root of both sides,
we derive two cases: (3b + 2) = 4 and (3b + 2) = -4.
Solving each equation for b yields:
3b = 2 or 3b = -6,
leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.
