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myrzilka [38]
3 years ago
12

Anyone who understands this?

Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer:

option 1 can not be the solution to your inequality.

Step-by-step explanation:

mina [271]3 years ago
3 0

Answer:

here try um well i think 4

Step-by-step explanation:

i dont know i think its just times so 2 times 4 is 8 and 8 is bigger than 7

but i really dont know sorry if im wrong

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The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that \mu = 14, \sigma = 2

Sample of 100:

This means that n = 100, s = \frac{2}{\sqrt{100}} = 0.2

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

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

By the Central Limit Theorem

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

Z = \frac{14.2 - 14}{0.2}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0
3 years ago
Find the 11th term of the arithmetic sequence. <br> a3 = 20.5 and a8 = 13, a11 = ______. ...?
lianna [129]
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:<span>

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.  
<span>a3 = 20.5 and a8 = 13
</span>

an = a1 + (n-1)d
20.5 = a1 + (3-1)d

</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5

The 11th term is calculated as follows:

a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 = 8.5</span>
8 0
3 years ago
Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.This nu
Assoli18 [71]

Answer: Rational

Step-by-step explanation:

5 0
3 years ago
A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become
svp [43]

Answer:

A, because the cat is only 15 feet in the air and the TREE is 50 feet

5 0
2 years ago
2 is a solution for <br><br> True or False
Vsevolod [243]

Answer:

False

Step-by-step explanation:

The open circle means you should not include the number it is on.

The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.

3 0
3 years ago
Read 2 more answers
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