Answer:
y-6=3/2(x+8)
Step-by-step explanation:
so the point slope form is y-y₁=m(x-x₁)
so enter the points (-8, 6)
y-6= 3/2(x-(-8))
y-6=3/2(x+8)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
- The sum of two and number = 2 + n
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.
Subtract 2 from both sides
Simplify
Thus, the solution is:
Please also check the attached solution line graph.
Answer:
x<-7
Step-by-step explanation:
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
