Answer:
The volume = 
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume = 
Answer:
245 tiles
Step-by-step explanation:
1 meter = 100 cm
Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²
Area of each tile = 20cm x 20cm = 400 cm²
Total number of tiles required = 9800/400 = 245
<u>Note</u>
Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles
17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252
<h3>
Answer: Choice B</h3>
No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.
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Explanation:
The greek letter mu is the population mean. It has the symbol
which looks like the letter 'u' but with a tail at the front or left side.
The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8
We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2
Since mu = 5 is not in the interval, it's not a plausible value for the population mean.
Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.
B*D?
B=-2
D=-6
B*D=(-2)*(-6)=12
Answer:
Midpoint formula.
The midpoint formula is (x_1+x_2)/2 , (y_1+y_2)/2
Step-by-step explanation:
This is one method. A list wasn't provided.