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qaws [65]
2 years ago
12

Name the property illustrated. (10 + 1) + 9 = 10 + (1 + 9)

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
6 0

\huge\text{Hey there!}

\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}

\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark

\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

Alexxandr [17]2 years ago
5 0
Associative property of addition
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What is 2 times 2/6?
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Hi there!


I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!


So, the steps are:


Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.


\frac{(2)(2)}{6} This is what it should look like.


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Read 2 more answers
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Consider the
Dafna1 [17]

Answer:

a) \bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311  

b) The 90% confidence interval would be given by (63.330;81.070)

63.330 < \mu_{left}- \mu_{right}  

Step-by-step explanation:

1) Previous concepts  and notation

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation  

x=left arm , y = right arm  

x: 175 169 182 146 144  

y: 102 101 94 79 79

The first step is define the difference d_i=x_i-y_i, that is given so we have:

d:  73, 68, 88, 67, 65

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311  

2) Confidence interval

The confidence interval for the mean is given by the following formula:  

\bar d \pm t_{\alpha/2}\frac{s_d}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=5-1=4  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that t_{\alpha/2}=2.13  

Now we have everything in order to replace into formula (1):  

72.2-2.13\frac{9.311}{\sqrt{5}}=63.330  

72.2+2.13\frac{9.311}{\sqrt{5}}=81.070  

So on this case the 90% confidence interval would be given by (63.330;81.070)

63.330 < \mu_{left}- \mu_{right}  

3 0
3 years ago
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