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Ann [662]
2 years ago
9

A prism is completely filled with 96 cubes that have edge lengths of 1/2 cm.

Mathematics
1 answer:
vazorg [7]2 years ago
5 0

Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

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Go to www.mathpapa.com and put this in "<span>y = <span><span>−<span>2x </span></span>− 4</span></span>; <span>y = <span><span>2x </span>− <span>4" That is 1st
</span></span></span>For 2nd put this in "y = 1/2x + -11/2; y = -2x + 2"


7 0
3 years ago
Given a sample mean difference of 23, a standard error of 4.2, and a critical t value of 2.262, what are the values for the conf
erastova [34]

Answer: (13.4996, 32.5004)

Step-by-step explanation:

The confidence interval for mean difference is given by :-

(\overline{x}_1-\overline{x}_2)\pm t^*\times SE ,

where (\overline{x}_1-\overline{x}_2) = sample mean difference .

t^*= critical t value (two-tailed)

SE= Standard error.

Given : (\overline{x}_1-\overline{x}_2)=23

t^*=2.262

SE= 4.2

Now, the confidence interval for mean difference will be :-

23\pm (2.262)\times (4.2)\\\\= 23\pm9.5004\\\\=(23-9.5004,\ 23+9.5004)\\\\=(13.4996,\ 32.5004)

Hence, the required confidence interval : (13.4996, 32.5004)

8 0
3 years ago
Give the domain and range.
ale4655 [162]

Answer:

a.  domain: {0, 2, 4}, range: {2, 6, 10}

Step-by-step explanation:

The given diagram depicts a function.

Let us define function:

A function is a mapping of inputs to output.

The left ones are the input of the function while the right side values are the output of the function.

The domain of the function is the set of values that are given as input to the function while the outputs are called range.

so, in the given question

The domain is: {0,2,4} and the range is: {2,6,10}

So, Option A is correct ..

7 0
3 years ago
write and equation of the line that passes through the given point and is parallel to the given line.1. (4,7), y = 5x-3
Gennadij [26K]

Answer:

y=5x+7

Step-by-step explanation:

parallel lines have the same slope, but different y intercepts

y=5x+7

5 0
3 years ago
Sally has been measuring the tree in her yard for a science project. The tree has grown 12 of an inch each month and grown a tot
hammer [34]

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

3 0
3 years ago
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