If you have a bag of marbles, 5 blue, 2 red, 6 purple, and 5 green, what is the probability of selecting a blue marble?
2 answers:
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Answer:
<em>alternative hypothesis : H₁ :</em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>
<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon
<em>Population average μ= $1.298 a gallon</em>
<em>sample size 'n' = 37</em>
<em>Sample mean (x⁻) = $1.192 a gallon </em>
<em>Sample standard deviation 'S' = $0.0436</em>
<em>Null hypothesis :H₀ : μ = $1.298 a gallon</em>
<em>Alternative Hypothesis : μ < $1.298 a gallon</em>
<em>Degrees of freedom : ν = n-1= 37-1=36</em>
<em>t₀.₀₂₅ = 1.688</em>
<em>Test statistic </em>
<em> </em><em></em>
<em> </em><em></em>
<em> t = -14.8044</em>
<em>|t| = |-14.8044| > 1.688</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted </em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>
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Answer:
the multiplicity is 4
Step-by-step explanation:
The graph shows a root at x = -2 that has a multiplicity of 2. You know the multiplicity is even, because the graph does not cross the x-axis. The multiplicity is 2 because the general shape of the graph in that area matches that of a quadratic (parabola).
The multiplicity of the root at x=4 is also an even number, because the x-axis is not crossed. However, the graph is significantly flatter at that point (than at x=-2), meaning the multiplicity is greater than 2. It is at least 4.
When we draw a graph with a multiplicity of 6 at x=4, we find the ratio of the peaks near x=-4 and x=0 to be different from that shown here. The suggests that the multiplicity of the root at x=4 is exactly 4.
The dough for the world's largest pizza was baked in 5,234 batches. Suppose it took the chefs 3 hours to bake the first 327 batches, and they bake the rest of the batches at the same rate. How long would it take to bake all the batches? Explain your reasoning.
