Answer:
x = 2.25 or any number greater
Step-by-step explanation:
5x3 > 4 + 8 + x
Make them equal to each other to get x
5x3 = 4 + 8 + x
(5x)(3) = 12 + x
- x - 3 - 3 - x
4x = 9
x = 2.25
Once you get x plug it in to get the truth of the expression
The box plot was created by using which pieces of data? A) an upper quartile of 56 and a median of 50 B) a lower quartile of 56
and a median of 50 C) a median of 56 and a lower quartile of 50 D) a median of 56 and an upper quartile of 50
1 answer:
Answer:
A) an upper quartile of 56 and a median of 50
Step-by-step explanation:
Hello!
The lower and upper ends "box" from the box and whiskers plot is determined by the first (Q₁) and third (Q₃) quartiles of the data set and the line inside the box marks the median or second quartile of the sample (Q₂)
The length of the whiskers of the diagram is determined by the minimum value (left whisker) and the maximum value (right whisker)
If you observe the graphic:
Q₁= 42
Q₂= 50 (Median)
Q₃= 56
Min= 38
Max= 66
The box is delimited by a lower quartile of 42 and an upper quartile of 56, with a median 50, the least observation is 38 and the highest observation is 66.
The correct choice is A.
I hope this helps!
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Answer:
The proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is 0.239, that is, 239 persons for every 1000, or simply 23.9% of them.
Step-by-step explanation:
From the question, we have the following information:
- The distribution for protein requirement is <em>normally distributed</em>.
- The population mean for protein requirement for adults is
- The population standard deviation is
We have here that protein requirements in adults is normally distributed with defined parameters. The question is about <em>the proportion</em> <em>of the population</em> that has a requirement less than .
For answering this, we need to calculate a <em>z-score</em> to obtain the probability of the value <em>x </em>in this distribution using a <em>standard normal table</em> available on the Internet or on any statistics book.
<h3>z-score</h3>A z-score is expressed as
For the given parameters, we have:
With this value for <em>z</em> at hand, we need to consult a standard normal table to determine what the probability of this value is.
The value for z = -0.7142857 is telling us that the requirement for protein is below the population mean (negative sign indicates this). However, most standard normal tables give a probability that a statistic is less than z and for values greater than the mean (in other words, positive values). To overcome this, we need to take the complement of the probability given for z-score z = 0.7142857, that is, subtract from 1 this probability, which is possible because the normal distribution is <em>symmetrical</em>.
Tables have values for <em>z</em> with two decimal places, then, for z = 0.7142857, we need to rewrite it as z = 0.71. For this value, the <em>standard normal table</em> gives a value of P(z<0.71) = 0.76115.
Therefore, the cumulative probability for values less than x = 0.60 which corresponds to a z-score = -0.7142857 is approximately:
(rounding to three decimal places)
That is, the proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is
See the graph below. The shaded area is the region that represents the proportion asked in the question.
