SOLUTION:
Step 1:
In this question, we are meant to:
Translate the following word phrases to an algebraic expression and simplify:
“8 times the difference of 6 times a number and 3”
Step 2:
Assuming the unknown number be y, we have that:
![\begin{gathered} 8\text{ ( 6y - 3 )} \\ =\text{ 48 y - 24} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%208%5Ctext%7B%20%28%206y%20-%203%20%29%7D%20%5C%5C%20%3D%5Ctext%7B%2048%20y%20-%2024%7D%20%5Cend%7Bgathered%7D)
CONCLUSION:
The final answer is:
![48y\text{ - 24}](https://tex.z-dn.net/?f=48y%5Ctext%7B%20-%2024%7D)
Answer:
A. The lowercase symbol, p, represents the probability of getting a test statistic at least as extreme as the one representing sample data and is needed to test the claim.
Step-by-step explanation:
The conditions required for testing of a claim about a population proportion using a formal method of hypothesis testing are:
1) The sample observations are a simple random sample.
2) The conditions for a binomial distribution are satisfied
3) The conditions np5 and nq5 are both satisfied. i.e n: p≥ 5and q≥ 5
These conditions are given in th options b,c and d.
Option A is not a condition for testing of a claim about a population proportion using a formal method of hypothesis testing.
Answer:
7.4*10^-5, 7300000
Step-by-step explanation:
1 There are 4 zeros in 1
round up .0000742 to .000074
There are 5 places between 7 and the last zero, negative because it is a decimal.
2 7.3*10^6= 73 is first, 6 places after 7 so 5 zeros (6 is in a place)
Answer:
Step-by-step explanation:
![Arccos( \frac{ \sqrt{3} }{2} ) = \beta \\ Arccos( \cos \: 30 \degree ) = \beta \\30 \degree = \beta \\ \therefore \: \alpha = 60 \degree \\ remaining \: angle = 90 \degree \\](https://tex.z-dn.net/?f=Arccos%28%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%29%20%3D%20%20%5Cbeta%20%20%5C%5C%20Arccos%28%20%20%5Ccos%20%5C%3A%2030%20%5Cdegree%20%29%20%3D%20%20%5Cbeta%20%20%5C%5C30%20%5Cdegree%20%3D%20%20%5Cbeta%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Calpha%20%20%3D%2060%20%5Cdegree%20%5C%5C%20remaining%20%5C%3A%20angle%20%3D%2090%20%5Cdegree%20%5C%5C%20)
Answer:
b= 7 times the square root of 2
Step-by-step explanation: In a 45-45-90 degree triangle the base and the height both equal x and the hypotenuse is equal to x times the square root of 2.
Hope this helps