A rectangular prism has a length of 4m, a height of 11m, and a width of 17m. What is its volume, in cubic m?
2 answers:
Answer:
748m³
Step-by-step explanation:
Hello!
The volume of a rectangular prism is determined by the formula . To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base (
), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.
Breakdown of :
-
is length
is width
is height
Find the Volume:
Use the formula and plug in values into the formula.
- V = l * w * h
- V = 4 * 17 * 11
- 748
Th units of length are m, and volume is the units cubed, so the units are m³.
The volume is 748m³
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Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.36
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Hi there!
13y² + 10y - 3 = 5y²
Begin by moving all terms to one side:
13y² + 10y - 3 - 5y² = 0
Combine like terms:
8y² + 10y - 3 = 0
Factor using the guess-and-check method.
(4y - 1)(2y + 3) = 0
Set each factor equal to 0 to find the solutions:
4y - 1 = 0
4y = 1
y = 1/4
2y + 3 = 0
2y = -3
y = -3/2