A shirt is on sale for $42. If this is (3)/(5) of the original price of the shirt, what was the original price of the shirt?
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The question is incomplete. The complete question is :
Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.
Solution :
Given :
Drugs Placebo
Headaches 11 7
No headaches 73 91
The results of the test are :
The P value is given as = 0.1799
The hypothesis test given for dependent or association between the two variables.
: There is no association between the treatment and the reaction
: There is association between the treatment and the reaction.
If the P value is greater than the alpha value, i.e. when
P value > α (0.05), then we reject the .
Therefore, Do not . Report that
evidence to conclude that
as well as
.
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
