Answer:
The answer is E: I, II, and III
Step-by-step explanation:
The three major features of a well designed experiment are:
1. Replication: If an experiment cannot be replicated, then it is not a well-designed experiment. Replication is one of the major characteristics of a well designed experiment
2. Control: A well designed experiment must have a control. Control, in an experiment, can be referred to as the steps taken to curb the impact of extraneous variables
3. Randomization: Subjects are expected to be randomly assigned to different groups.
Answer:
See the image below:)
Step-by-step explanation:
Answer: One cubic foot equals 1728 cubic inches, while a golf balls volume is 2.482 cubic inches.
Step-by-step explanation:
Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: ![n=p(1-p)(\dfrac{z^*}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz%5E%2A%7D%7BE%7D%29%5E2)
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :![n=(0.11)(1-0.11)(\dfrac{(1.96)}{0.05})^2](https://tex.z-dn.net/?f=n%3D%280.11%29%281-0.11%29%28%5Cdfrac%7B%281.96%29%7D%7B0.05%7D%29%5E2)
![\Rightarrow\ n=(0.11)(0.89)(39.2)^2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%280.11%29%280.89%29%2839.2%29%5E2)
[Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151
Answer:
The answer to your question is below
Step-by-step explanation:
Sadie should have left inside the root an exponent lower than the root and the power of "a" is higher than "2", the root is squared.
Right solution
![\sqrt{54a^{7}b^{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B54a%5E%7B7%7Db%5E%7B3%7D%20%20%7D)
54 = 3² 6
a⁷ = a⁶ a
b³ = b² b
= ![\sqrt{3^{2}6 a^{6} a b^{2} b }](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E%7B2%7D6%20a%5E%7B6%7D%20a%20b%5E%7B2%7D%20b%20%7D)
= ![3a^{6/2} b^{2/2} \sqrt{6ab}](https://tex.z-dn.net/?f=3a%5E%7B6%2F2%7D%20b%5E%7B2%2F2%7D%20%5Csqrt%7B6ab%7D)
= ![3 a^{3} b \sqrt{6ab}](https://tex.z-dn.net/?f=3%20a%5E%7B3%7D%20b%20%5Csqrt%7B6ab%7D)