Let T be a linear transformation from Rr to Rs. Determine whether or not T is one-to-one in each of the following situations: 1.
1 answer:
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Answer:
The scale factor for a model is 5 cm = 16.05 cm.
Step-by-step explanation:
Given:
Model: 9.5cm Actual : 30.5m and the scale factor for model is 5 cm.
Now, we need to find the actual shape for the scale factor 5 cm.
<em>Let the actual shape be .</em>
Now, for getting the actual shape we set for proportion:
5:x :: 9.5:30.5
5:x = 9.5:30.5
Then, convert it into fractions:
Now, <em>on cross multiplying we get:</em>
Dividing both sides by 9.5 we get:
Therefore, the scale factor for a model is 5 cm = 16.05 cm.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
The alternative hypothesis is:
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation =
The t-test statistics is computed as:
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
Decision rule: To reject if
As fails the rejection region, we reject
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.