Answer:
351.9 ft³
Step-by-step explanation:
- <em>Volume of cylinder: V= πr²h</em>
<u>Given:</u>
- d= 8 ft ⇒ r= 8/2= 4 ft
- h= 7 ft
<u>Solution:</u>
- V= π*4²*7 ≈ 351.9 ft³ rounded to the nearest tenths
Step-by-step explanation:
A. ______________________$
Answer:
the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.
Step-by-step explanation:
a.)
the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.
b.
the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.
c.
the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:
in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.
d.
regarding this question, we use a z score because:
For large random samples the sampling distribution of the sample proportion is approximately normal.
e.
the answer to this is false.
thank you!
Answer:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism.
