Answer:
1. 8.5 yards.
2. $42.5
Step-by-step explanation:
We have been given that Sue buys 5 pieces of fabric. Each piece is yards long.
1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.
Therefore, Sue bought 8.5 yards of fabric.
2. 1 yard of fabric costs $5.
So 8.5 yards of fabric will cost : 5*8.5
Therefore, the cost of total fabric bought by Sue is $42.5.
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
In a uniform probability distribution, both the mean and standard deviation can be derived from the minimum and maximum values, P(x) remains constant, and the shape of the distribution is rectangular. All statements are true.
The answer to your questions:
i. For any uniform probability distribution, the mean and standard deviation can indeed be computed by knowing the maximum and minimum values of the random variable. So, this is true. The mean is the average of the maximum and minimum, and the standard deviation can be calculated from the range (max-min).
ii. In a uniform probability distribution, P(x) is indeed constant between the distribution's minimum and maximum values. This means that every value has the same likelihood of occurring, which is what makes it 'uniform'. So, this is true.
iii. The uniform probability distribution's shape is indeed a rectangle. This is because all outcomes are equally likely, resulting in a graph that is flat, or rectangular-shaped. Hence, this is also true.
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(6 + 4)n = 18
4n + 18 = 6
6 + 4n = 18
6 + 4 + n = 18
The correct mathematical equation for the statement is 6 + 4n = 18
Given data:
The correct translation of the statement "Six, plus four times a number, is eighteen" into a mathematical equation is:
6 + 4n = 18
In the equation, "n" represents the unknown number.
The statement states that the sum of six and four times the number is equal to eighteen.
The expression "4n" represents four times the number, and adding 6 to it gives the total of eighteen.
Hence, the expression is 6 + 4n = 18.
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lightbulbs and finds that 180 of them are defective.
Based on these results, what can the store
manager predict about the next delivery of 1,800
light bulbs?
The store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs.
Based on the given information, we know that 180 out of 1200 light bulbs in the first delivery were defective. We can use this information to estimate the number of defective light bulbs we might expect in the next delivery of 1,800 light bulbs.
To do this, we can use the proportion of defective light bulbs in the first delivery and apply it to the next delivery. The proportion of defective light bulbs in the first delivery is:
180/1200 = 0.15
So, we can expect that approximately 0.15 of the light bulbs in the next delivery will be defective. To find out the actual number of defective bulbs, we can multiply this proportion by the total number of bulbs in the next delivery:
0.15 x 1800 = 270
Therefore, the store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs. However, this is only an estimate and the actual number of defective bulbs could be higher or lower than this prediction.
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