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MrRissso [65]
2 years ago
15

If 8 = x + y and y > 0, then x is ___ 8.

Mathematics
2 answers:
zysi [14]2 years ago
6 0

Answer:

this is ur answer

Step-by-step explanation:

ZanzabumX [31]2 years ago
5 0

Answer:

X is < 8

Step-by-step explanation:

if y is >0 , then obviously X has to be smaller than 8 otherwise X+y won't be equal to 8

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Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
25 POINTS, I DONT UNDERSTANDDDDDD :C WHAT IS SO MISLEADING ABOUT THIS GRAPH???
Kisachek [45]

Answer:

honestly, the graph look totally fine...

If one ere pressed to find something to complain about it, one could suggest that  you do not know if this was the starting price of the stock or the ending price of the stock each day?... One could also argue that to be a bit more meaningful you might want to know the range of prices during each day...

look up what is called a candle stick graph.. each day looks like a candlestick... the top is the highest value each the bottom the lowest, and there is a line in the candle that  shows the closing price

Step-by-step explanation:

3 0
3 years ago
What is the equation of the line through (7, -1) with slope -3?
Slav-nsk [51]
Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.

y-(-1)=-3(x-7)
y+1=-3(x-7)

Final answer: B
3 0
3 years ago
Read 2 more answers
Which of the graph of f(x)=x-1/x^2-x-6
Alik [6]

Answer:

a on edge

Step-by-step explanation:

3 0
3 years ago
Pleasee its pretty easy someone helpp
SVEN [57.7K]

Answer:

81.5, 9, 180

Step-by-step explanation:

28.

c=9

9x9=81

a=1/2

81+1/2=81.5

29.

9x1/2=4.5

4.5x2=9

30.

15x15=225

9x5=45

225-45=180

hope this helps!!!

6 0
3 years ago
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