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vodka [1.7K]
3 years ago
15

Which expression illustrates the associative property of addition?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

Answer:

C:(3+9)-12=3+(19-12)

Step-by-step explanation:

We are given that some options

We have to find that which expression illustrate the associative property of addition

Associative property of addition:

Let a, b and c are integers then

(a+b)+c=a+(b+c)

a=3 ,b=19,c=-12

(3+19)-12=3+(19+(-12))

(3+9)-12=3+(19-12)

Hence, option C is true.

4vir4ik [10]3 years ago
3 0

Answer: THIRD OPTION.

Step-by-step explanation:

The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

a + (b + c) = (a + b) + c

Based on this and having the expression 3 + 19- 12, we can apply the Associative property as following:

(3 + 19) - 12 = 3 + (19 - 12)

Therefore, the  expression that illustrates the Associative property of addition is the one shown in the Third option.

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Answer:

-18

Step-by-step explanation:

Essentially the same as (-6) - 12

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3 years ago
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Write the expression as a single natural logarithm.<br> 2 ln m + 9 ln n=in?
Akimi4 [234]

Answer:

ln (m^2n^9)

Step-by-step explanation:

Rule: ln a + ln b = ln ab

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2 ln m + 9 ln n =

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= ln (m^2n^9)

= \ln m^2n^9

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A fisherman can tow upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed down
telo118 [61]

He went upstream 3 hours and downstream two. 4x3=12  6x2=12

He went 24 miles.

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3 years ago
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4 0
4 years ago
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesf and a standard deviation of 0.67
trasher [3.6K]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.67

n = number of samples = 103

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 103 - 1 = 102

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.6249

Margin of error = 2.6249 × 0.67/√103

= 0.173

Confidence interval = 98.6 ± 0.173

This suggests that the mean body temperature could very possibly be

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4 years ago
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