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larisa [96]
3 years ago
7

Which of the following shows the Commutative Property of Addition? (4 + 3) + x = (3 + 4) + x ab = ba r + (s + t) = (r + s) + t n

+ 0 = n
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0
Commutative says you can add or multiply in any order

basically goes like this
a+b=b+a or
ab=ba

so what we need is something where the order change, nothing else
first one: (4+3)+x=(3+4)+x, the order changed, correct

2nd
ab=ba, this is not addition

3rd
r+(s+t)=(r+s)+t this is associative property

4th
n+0=n
this is zero addition property



answer is first one
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Answer:

20 photos

Step-by-step explanation:

4 photos per page, 5 pages. 4 x 5 is 20.

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3 years ago
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You have one cubic mile of water. you release it at 1000 gallons per
Tatiana [17]

It will take 764664.6875 days to empty the water

<h3>How to determine the time to empty?</h3>

The given parameters are:

  • Volume = 1 cubic mile
  • Rate = 1000 gallons per minutes

The time is calculated as:

Time = Volume/Rate

So, we have:

Time = 1 cubic mile ÷ 1000 gallons per minute

Convert gallons to cubic mile

Time = 1 cubic mile ÷ (9.0817e-13 * 1000) cubic mile per minute

Divide

Time = 1.10111715 × 10^9 minute

Convert to days

Time = 764664.6875 days

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7 0
1 year ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters,
FinnZ [79.3K]

Answer:

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

Step-by-step explanation:

To solve this question, we need to understan 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 139, \sigma = 6, n = 40, s = \frac{6}{\sqrt{40}} = 0.9487

Either the sample mean differs by 0.8 mm or less from the population mean, or it differs by more. The sum of these probabilities is decimal 1.

Probability it differs by less than 0.8mm

pvalue of Z when X = 139 + 0.8 = 139.8mm subtracted by the pvalue of Z when X = 139 - 0.8 = 138.2 mm

X = 139.8

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

By the Central Limit Theorem

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

Z = \frac{139.8 - 139}{0.9487}

Z = 0.84

Z = 0.84 has a pvalue of 0.7995

X = 138.2

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

Z = \frac{138.2 - 139}{0.9487}

Z = -0.84

Z = -0.84 has a pvalue of 0.2005

0.7995 - 0.2005 = 0.5990

What is the probability that the sample mean would differ from the population mean by more than 0.8 millimeters?

p + 0.5990 = 0.4010

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

7 0
3 years ago
I dont understand the question
Nonamiya [84]
<h3>Answer: Choice C)   x^4 - 2</h3>

Explanation:

If the exponent is negative, then that means we apply the reciprocal. So something like x^(-2) becomes 1/(x^2). A polynomial cannot have a variable in the denominator like this. So we can rule out choices A, B, and D. Choice C is the only thing left. It is a polynomial because the exponent is a positive whole number.

7 0
2 years ago
Please help I will mark as brianliest
shutvik [7]

Answer:

x = -4

Step-by-step explanation:

-5x-4x-2 = -8x+2 is the only one with a solution.

-5x-4x-2 = -8x+2

-x-2 = 2

-x = 4

x = -4

8 0
2 years ago
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