2 parts compost, 6 parts potting soil for 10 kg of mix. How many kg of compost
1 answer:
Answer:
Step-by-step explanation:
A proportion could be used.
With 2 parts of compost and 6 parts potting soil, you would end up with 8 total parts.
So it can be written as a ratio of compost to total mix, or
The problem states 10 kg are needed in total, and the variable would be the amount of compost
As a ratio it would be .
Use the ratios to write a proportion.
Multiply both sides of the equation by 10
Convert to a decimal if desired.
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Answer:
(2,1)
Step by step explanation:
Please find the attachment.
We have been given that line is horizontal and passes through point (1,1). Line
is vertical and passes through point (2,2). We are asked to find point of intersection of line
and line
.
Line is a horizontal line so y-coordinate will be 1 for any value of x. Line
is a vertical line, so x-coordinate will be 2 for any value of y.
Therefore, intersection point of both lines will include x-coordinate of line and y-coordinate of line
that is (2,1).
Complete Question
Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.
a
State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
b
What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c
Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
in 2012
in 2010
c
The p-value is
The conclusion is
There is sufficient evidence to conclude that the proportion of those indicating that financial security is more fair in Feb 2010 is different from the proportion of those indicating that financial security is more fair in Feb 2012.
Step-by-step explanation:
From the question we are told that
The sample size in 2012 is
The number that indicated that their finance was more than fail is k = 410
The sample size in 2010 is
The number that indicated that their finance was more than fail is u = 315
The level of significance is
The alternative hypothesis is
Generally the sample proportion for 2012 is mathematically represented as
=>
=>
Generally the sample proportion for 2010 is mathematically represented as
=>
=>
Generally the pooled sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
Generally the p- value is mathematically represented as
From the z -table
So
So from the p-value obtained we see that p-value < so we reject the null hypothesis
Thus there is sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.