A hairdresser combined three bottles of shampoo into one bottle. The first bottle had 4.8 ounces of shampoo, the second bottle h
ad 5.4 ounces, and the third bottle had 6.6 ounces. The hairdresser used 2 5of the shampoo from the new bottle when she washed her hair. How many ounces of shampoo did she use? Describe two different ways to solve the problem.
1 answer:
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Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let <em>X</em> denote the number of green candies.
The probability of green candies is, <em>p</em> = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, <em>n</em> = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
Petra can make 8 costumes with 12 yards of fabric
<h3><u>Solution:</u></h3>Given that Petra was given 12 yards of fabric to make costumes for the school play
Each costume requires yards
<em><u>To find: number of costume Petra can make</u></em>
The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume
Total fabric she has = 12 yards
Fabric needed for 1 costume = yards
Therefore,
Thus petra can make 8 costumes with 12 yards of fabric