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kykrilka [37]
2 years ago
13

Solve 7 2 3 − ( 1 2 4 + 3 6 8 ) . Choose the number to complete the mixed number. Numbers may be used once or not at all. ASAP p

ls

Mathematics
1 answer:
weqwewe [10]2 years ago
6 0

Answer:

2\frac{5}{12} <em>is your answer.</em>

Step-by-step explanation:

7\frac{2}{3} -(1\frac{2}{4} +3\frac{6}{8} )\\\\\frac{23}{3} -(\frac{6}{4} +\frac{15}{4}) \\\\\frac{23}{3} -(\frac{21}{4})\\\\\frac{92-63}{12} \\\\\frac{29}{12} \\\\2\frac{5}{12}

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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
Solve for x and y: x=5−2y 6y=10−3x
Mama L [17]

we have

x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1

6y=10−3x------> equation 2


equation 1 and equation 2 has the same slope

the lines are parallel

slope m=-3/6-----> m=-1/2

so

there are no solution


the answer is the option

b. There is no solution


7 0
3 years ago
What are the transformations? <br><br> Need a quick answer please
julia-pushkina [17]

Answer:

All of them

Step-by-step explanation:

6 0
2 years ago
Line I is parallel to line M. If the measure of 6 is 75 degrees, what is the measure of 3?
Doss [256]

In the given diagram, the measure of ∠3 will be 105°.

In the given diagram, ∠3 and ∠6 are consecutive interior angles.

<h3>How to form supplementary angles by transversal?</h3>

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then,

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 will be 105°.

Learn more about the measures of angles here: brainly.com/question/2883630

#SPJ1

6 0
2 years ago
What fraction, decimal or percent. Is equivalent to 9/9
8_murik_8 [283]

Answer:

1/1

1.0

100%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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