1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trapecia [35]
3 years ago
14

What is (5+3)+7=5+(3+7) is it Associative, Identity, Commutative or Substitution?

Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

Associative  

Step-by-step explanation:

The associative property of addition states that you can add numbers however they are grouped inside parentheses.  

It doesn't matter where you put the parentheses. You will always get the same answer.

For example,

\begin{array}{rcl}(5 + 3) + 7 & = & 5 + (3 + 7)\\8 + 7& = & 5 + 10\\15 & = & 15\\\end{array}

You might be interested in
Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as
Contact [7]

Answer:

f(x) = 4^{x} + 6

Step-by-step explanation:

Y1: (4) + 6

Y2: (4*4) + 6

Y3: (4*4*4) + 6

Pattern: 4^{x} + 6

8 0
3 years ago
The rectangular prism has a base that is 3 \times 9\text{ m}3×9 m3, times, 9, start text, space, m, end text and a height of 2\t
lawyer [7]

Answer:

Volume of green house = 54 m³

Step-by-step explanation:

Given:

Base = 3m x 9m

Height of house = 2 m

Find:

Volume of green house

Computation:

Volume = lbh

Volume of green house = 3m x 9m x 2m

Volume of green house = 54 m³

8 0
3 years ago
The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked
Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)  

b) n=464

Step-by-step explanation:

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".  

Part a

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

\bar X \pm t_{\alpha/2}\frac{s}{\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=47-1=46  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that t_{\alpha/2}=2.01  

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

525-2.01\frac{75}{\sqrt{47}}=503.01  

525+2.01\frac{75}{\sqrt{47}}=546.99  

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:  

ME=t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{t_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, t_{\alpha/2}=2.01 from part a, replacing into formula (2) we got:  

n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464  

So the answer for this case would be n=464 rounded up to the nearest integer  

8 0
3 years ago
the vaal dam can store 2536 million m3 of water when full. However it was 65 4% full on the 30 January 2020 how many litres of w
PIT_PIT [208]

Answer:

Current water in dam = 1,676.202 million m³ (Approx.)

Step-by-step explanation:

Given:

Storage capacity of dam = 2,536 million m³

Current water level = 65.4%

Find:

Current water in dam

Computation:

Current water in dam = Storage capacity of dam x Current water level

Current water in dam = 2,563 x 65.4%

Current water in dam = 1,676.202 million m³ (Approx.)

5 0
3 years ago
Use the graph to describe the rule, write the ordered pairs of the image.
maks197457 [2]

Step-by-step explanation:

Both are translations,

1.) Translation of (5,7)

2.) Translation of (8, -3)

3 0
2 years ago
Other questions:
  • What is the slope of this line? Please help
    12·1 answer
  • Chef plans to serve 4.5 oz. steaks to 180 Guests. How many POUNDS only of raw steak should Chef order if Waste (trimming and coo
    11·1 answer
  • What is the answer???
    5·1 answer
  • What is the value of x in the equation 2x + 3y= 36, when y=6
    6·2 answers
  • What is the radius of the cone
    9·2 answers
  • Please help with these one variable linear inequalities
    15·1 answer
  • PLSS!!! HELP ME!!! I WILL MARK U!!!
    12·1 answer
  • Which point is a solution to y&gt;-3x +6? <br>a. (0,6)<br>b. (1,-2)<br>C. (1,2) <br>d. (4,5)​
    7·1 answer
  • Ten percent of the items produced by a machine are defective. Suppose that twenty items are randomly chosen. Use this informatio
    8·1 answer
  • HELP ASAP!! it’s a test :( thank you if you helped
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!