Mr. Menedez ran 13.1 miles at a constant rate for 150 minutes. To find how fast he ran, you solve the equation 13.1 = x • 150. W
1 answer:
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Answer:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,
It is given that Victor has 42 more tools than Ilya.
Solve the above equation.
Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,
Hence, Victor gives 28 tools to IIya.
Answer:
The approximate p-value for the suitable test
<em>0.05 < p < 0.1</em>
|t| = |-1.5806| = 1.5806
t = 1.5806 < 2.009 at 0.05 level of significance
<em>Carisoprodol, a generic muscle relaxer, claims to have, on average, is equal to 120 milligrams of active ingredient.</em>
<u>Step-by-step explanation</u>:
<u><em>Step(i)</em></u>:-
Given mean of the Population 'μ' = 120 milligrams
Given random sample size 'n' = 50
Given mean of the sample x⁻ = 116.2 milligrams
Standard deviation of the sample 'S' = 17 milligrams
Null hypothesis : 'μ' = 120
Alternative hypothesis : 'μ' < 120
<u><em>Step(ii):</em></u>-
<em>Test statistic </em>
<em>Degrees of freedom</em>
<em>ν = n-1 = 50 -1 =49</em>
t₀.₀₅ = 2.009
|t| = |-1.5806| = 1.5806
t = 1.5806 < 2.009 at 0.05 level of significance
<em>Null hypothesis is accepted</em>
<em>Carisoprodol, a generic muscle relaxer, claims to have, on average, is equal to 120 milligrams of active ingredient.</em>
<u><em>P- value:-</em></u>
<em>The test statistic |t| = 1.5806 at 49 degrees of freedom</em>
<em>The test statistic value is lies between 0.05 to 0.1</em>
<em>0.05 < p < 0.1</em>
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