If you cut them into equal parts they will be 12.5 inches each piece.
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Step-by-step explanation:
Given,
Charges for cutting small lawns =$20
Charges for cutting large lawns = $30
Total yards mowed = 6
Total amount earned = $140
According to given statement;
x+y=6 Eqn 1
20x+30y=140 Eqn 2
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Keywords: linear equation, addition
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Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis
Ha: p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>
Answer:
The answer is option 1.
Step-by-step explanation:
In order to solve x, you have to make x the subject, by multiplying each sides by 5, to get rid of 5 on the left side.
Answer:
5,18,12 cms are the answer.
Step-by-step explanation:
Given is a triangle ABC. Point D is the centroid.
E,F and G are midpoints of CB, BA and AC respectively.
AE, BF and CG are medians of the triangle.
We know that centroid divides the median in the ratio 2:1
Using this we find that AD:DE = 2:1
Or AD+DE:DE = (2+1):1
AE:DE =3:1
15:DE = 3:1 . Hence DE =5 cm.
On the similar grounds we find that DF = 1/3 BF = 9
Hence BD = DF-BF = 27-9 =18 cm
and also
CG = 3/2 times CD = 12 cm.