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monitta
1 year ago
11

The mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49. If a sample of 54 bags of shrimp is randomly se

lected, what is the probability that the sample mean would be less than 43.4 dollars? Round your answer to four decimal places.
Mathematics
1 answer:
Brrunno [24]1 year ago
8 0

The probability that the sample mean would be less than 43.4 dollars is 0.9292.

<h3>What is a probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.

Therefore, the probability will be:

P(x < 43.4)

Using normal distribution

= P(z < 43.4 - Mean( / 7/✓54)

= P(z < 43.4 - 42( / 7/✓54)

= P(z < 1.4697)

= 0.9292

The probability is 0.9292.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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2 years ago
How much energy would a 15,000 g block of ice need to absorb in order to
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Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, L_f, of ice

Hence, the mass, m, of the ice = 15,000 g

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The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.

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2 years ago
On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend t
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3 years ago
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3 years ago
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4 0
3 years ago
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