Answer:
The first fraction comes between 27 and 28, leaning towards 28. The second fraction lies between 3 and 4, leaning towards 4. Compatible numbers in division consist of figures that are simple to calculate mentally. 28 divided by 4 results in 7. The estimated quotient will be approximately 7.
Step-by-step explanation:
I trust this will assist you.
Response:
It is inferred that the authors of the sonnets belong to a certain poet from the Elizabethan era.
Step-by-step breakdown:
The details provided in the question are as follows:
Population mean, μ = 8.9
Sample mean, 
= 10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
Initially, we formulate the null hypothesis and the alternative hypothesis
To conduct this test, we utilize the One-tailed z test.
a) Equation:
By substituting in all relevant values, we determine:
Next, 
b) The p-value is computed using the z-table.
P-value = 0.1003
The p-value surpasses the alpha of 0.05
c) Because the p-value exceeds the alpha threshold, there is insufficient evidence to dismiss the null hypothesis, thereby supporting the null hypothesis.
Consequently, it is concluded that the authorship of the sonnets belongs to a particular Elizabethan poet.
Response:
(a) 3, 5, and 6
Detailed explanation:
In this study, 43 participants will be treated with a gel containing tooth-whitening agents, while the remaining 42 will receive a placebo. Consequently, a placebo is in use.
The selection process for the 43 individuals receiving the gel will be random.
Post-experiment, the whiteness levels of both groups will be compared to analyze the gel's effect.
For true randomness in the experiment, options 3, 5, and 6 are applicable.
(b)
In order for the experiment to be double-blind, the evaluators analyzing the whiteness, as well as the participants, must not know which individuals were given the whitening gel versus the placebo.
Solution:
There are 4 ways.
Detailed explanation:
Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).
- She can distribute 5 tootsie rolls to each brother.
- She can provide 3 twizzlers to each brother.
- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).
- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).
I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.
