Help geometry what I m jlf Picture provided
1 answer:
Answer:
which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from , since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as
and
. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by :
Therefore, the two equal acute angles in the triangle JOH should add to:
resulting then in each small acute angle of measure
.
Now referring to the green sided right angle triangle we can find find angle JLG, using:
Finally, the requested measure of angle JLF is obtained via:
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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.
Answer:
a)
b) 54
Step-by-step explanation:
a)
If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:
Where
k is the proportionality constant
Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:
b)
Now velocity, V, is triples, which means it becomes 3V
Also, cross sectional area, A, is doubled, which means it becomes 2A
Let's put these into formula and see the difference:
So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).