Use the commutative and/or associative properties to simplify 9.731(4): 0.75. A) 7.29825 B) 38.925 C) 29.19375 D) 39.69375

Answers

Answer 1
Answer:

Answer:A

Step-by-step explanation:


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Mei drew a scale drawing of an apartment. The living room, which is 8 meters long in real life, is 4 millimeters long in the drawing. What is the drawing's scale factor?

Answers

Answer:

\text{Drawing}:\text{Real Life} = 1:2000

Step-by-step explanation:

Real life = 8m = 8000mm

Drawing = 4mm

we can take the ratio of the two values (but be sure that they both have the same units, this is why it is necessary to convert 8m to 8000mm OR you can convert 4mm to its value in meters)

\frac{\text{Real Life}}{\text{Drawing}} = (8000)/(4)

\frac{\text{Real Life}}{\text{Drawing}} = (2000)/(1)

we can also write this as:

\text{Real Life}:\text{Drawing} = 2000:1

so the drawing's scale factor is:

\text{Drawing}:\text{Real Life} = 1:2000

This means that if length of the living room in the drawing is multiplied by 2000 it will be of the same length as the living room in real life.

a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investment. if his total profit was $107, what was the amount of each investment?

Answers

Let the amount that the man placed in the first investment be x. Then, the amount that he placed in the second investment has to be \$3000 - x. Using those as the investment amounts, the total profit is given by adding the two separate profits as shown:

.03x + .04(\$3000 - x) = \$107

We can now solve for x:

.03x + .04(\$3000 - x) = \$107
.03x + (\$120 - .04x) = \$107
\$120 - .01x = \$107
.01x = \$13
x = \$1300

Thus,

First investment: x = \bf \$1300
Second investment: \$3000 - x = \$3000 - \$1300 = \bf \$1700




Multiply. Write your answer in simplest form.

3/8x 5/7= 15/56?

Answers

That is the simplest form as possible. Because 15 can only be divisible by 5 and 3 but 3 and 5 don't go into 56

The volume of the prism shown is 1,080 inches cubed. A rectangular prism with a length of 15 inches, width of 9 inches, and height of 8 inches. What is the volume of a pyramid with the same base length, base width, and height? 360 inches cubed 540 inches cubed 1,080 inches cubed 3,240 inches cubed

Answers

9514 1404 393

Answer:

  (a)  360 inches cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.

  (1/3)(1080 in³) = 360 in³ . . . . the pyramid volume

The mean and standard deviation of a population being sampled are 64 and 6, respectively. If the sample size is 50, what is the standard error of the mean? how do I find the standard error?

Answers

SEM - Standard error of the mean;
You can find the standard error with a formula:
SEM = s / √n,   where s is the standard deviation and n is the sample size;
SEM = 6 / √50 = 6 / 7.071
Answer:
SEM = 0.8485 

Final answer:

The standard error is calculated as the standard deviation divided by the square root of the sample size. For a population with a standard deviation of 6 and a sample size of 50, the standard error is 6 / sqrt(50).

Explanation:

The standard error can be defined as the standard deviation divided by the square root of the number of samples. It helps to estimate the variability in the population. In this case, the mean is 64, the standard deviation is 6, and the sample size is 50. The equation to calculate the standard error is:  

Standard Error = Standard Deviation /  \sqrt(Sample Size).

Plugging in the values given in the question, we get:

Standard Error = 6 / \sqrt(50)

. After performing the division, you will get the standard error of the mean which tells you how far your sample mean could be from the true population mean.

Learn more about Standard Error here:

brainly.com/question/13179711

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A phone company uses the equation y=0.15x+10 to find y the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77.50?

Answers

y=0.15.77.5+10  y=11.62+10  y=21