Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
-160=22+8(3p-4)
Use distributive property
-160=22+24p-32
-160=24p-10
Add 10 for both side
-160+10=24p-10+10
-150=24p
Divided 24 for both side
-150/24=24p/24
p=-6.25
Check:
-160=22+8(3p+4)
-160=22+8[3(-6.25)-4]
-160=22+8(-18.75-4)
-160=22+8(-22.75)
-160=22-182
-160=-160. As a result, x=-6.25. Hope it help!
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Answer:
B. ΔDEF ≅ ΔSRU
Step-by-step explanation:
Reflection changes corresponding vertices from CCW order to CW order. Vertex D gets reflected to (-6, 4), then translated to (-3, 0). After this transformation, its image is vertex S. The vertices in CW order from S are SRU. Hence, ΔDEF ≅ ΔSRU, matching choice B.
Hi there!
To complete this problem, we need to divide 28 by 3/4 and see how many servings can be made.
28 / 3/4 = 37 1/3
So, the answer is 37 1/3 servings.
Hope this helps!