Answer:
The initial goal was $25019.154.
Step by step Explanation:
Assuming the original goal is denoted as x.
As stated
Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.
1253% can be expressed as a decimal.
= 12.53
Thus, the equation is rearranged to
12.53 × x = 313490
12.53x = 313490
x = $ 25019.154
This means the initial goal stands at $25019.154.
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
Simply calculate the cost per pencil by dividing the total dollar amount by the number of units: 2.35/24 = $ ______ per pencil, which equals approximately 0.097917, or 97 cents.
Answer:
Hello! The right expression is: w = 241(1.06)t
In this case, t denotes the years elapsed since 2000.
For the year 2001, t is calculated as 2001 - 2000 = 1
Substituting 1 into the equation gives us w = 241(1.06)¹ = 241 * 1.06 = 255.46
Thus, the value in 2001 amounts to 255.46.
Additionally, in the expression, 1.06 can be broken down as 1 + 0.06, where 0.06 signifies an annual growth rate of 6%.
Hope this is helpful!~ ♡
ItsNobody~ ☆
To this problem, the solution is 5 seconds.
In this scenario, you have the initial distance of 300 feet, a car speed of 48 feet per second, and a final distance of 60 feet. You also have the equation for calculating the distance, which should simplify the problem. You're asked to find out when the distance equals 60 feet. Thus, the calculation would be:
distance= 300-48t
60 = 300ft - 48t
48t = 300 - 60 = 240
t = 5
