Answer:
Step-by-step expla
To find the volume of a cone, use the equation: V = 1/3Bh.
In this equation, V is the volume, B is the base, and h is the height.
We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.
V = 1/3(12)(18)
V = 4(18)
V = 72.0
Therefore, the volume of this glass is 72.0 cubic inches.
<span>A probability distribution is formed from all possible outcomes of a random process (for a random variable X) and the probability associated with each outcome. Probability distributions may either be discrete (distinct/separate outcomes, such as number of children) or continuous (a continuum of outcomes, such as height). A probability density function is defined such that the likelihood of a value of X between a and b equals the integral (area under the curve) between a and b. This probability is always positive. Further, we know that the area under the curve from negative infinity to positive infinity is one.
The normal probability distribution, one of the fundamental continuous distributions of statistics, is actually a family of distributions (an infinite number of distributions with differing means (ÎĽ) and standard deviations (Ď). Because the normal distribution is a continuous distribution, we can not calculate exact probability for an outcome, but instead we calculate a probability for a range of outcomes (for example the probability that a random variable X is greater than 10).
The normal distribution is symmetric and centered on the mean (same as the median and mode). While the x-axis ranges from negative infinity to positive infinity, nearly all of the X values fall within +/- three standard deviations of the mean (99.7% of values), while ~68% are within +/-1 standard deviation and ~95% are within +/- two standard deviations. This is often called the three sigma rule or the 68-95-99.7 rule. The normal density function is shown below (this formula won’t be on the diagnostic!)</span>
3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4
x = 35
Answer:
$25000
Step-by-step explanation:
If the salvage value is 20% of the cost, then 80% of the cost will be depreciated over 10 years. Over the 5 years from Jan 1 20X1 to Dec 31 20X5, the $10,000 accumulated depreciation represents 5/10 of that 80%, or 40% of the initial cost.
$10,000 = 0.40 × cost
$10,000/0.40 = cost = $25,000
The acquisition cost of the equipment was $25,000.
