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GREYUIT [131]
3 years ago
13

Determine if 3√10 /4 is in simplest form. if the expression is not in simplest form explain why? HELP PLEASE

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

The notation in its current form isn't entirely clear.

Did you mean to write \frac{3\sqrt{10}}{4}? The 4 isn't in the square root.

If so, then the expression is in simplest form because we cannot simplify \sqrt{10} any further (note how 10 doesn't have any perfect square factors other than 1).

Also, the 3/4 portion is fully reduced already.

------------------------

Or,

Did you mean to write 3\sqrt{\frac{10}{4}} ? This time the 4 is inside the square root.

If so, then we can simplify like this

3\sqrt{\frac{10}{4}}\\\\\frac{3\sqrt{10}}{\sqrt{4}}\\\\\frac{3\sqrt{10}}{2}\\\\

This means that 3\sqrt{\frac{10}{4}}=\frac{3\sqrt{10}}{2}\\\\

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Find the volume of the prism. Write your answer as a decimal.
anyanavicka [17]

Answer:

Step-by-step explanation:

It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed

4 0
2 years ago
I need help..
Rus_ich [418]

Answer:

A = 2, B = 1, C = 5, D = 3, E = 4

Step-by-step explanation:

Variety of workings including

Opposite angles are equal

90 degrees on a right angle

180 degrees in a straight line

6 0
3 years ago
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te
vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

H_0: \mu = 60

At the alternate hypothesis, we test if it exceeds, that is:

H_1: \mu > 60

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that \mu = 60

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that n = 16, X = 67, s = 12

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}

t = \frac{7}{3}

t = 2.333

Thus, the correct answer is given by option b.

5 0
3 years ago
What is 6 1/3 - 4 1/9
Mademuasel [1]

Answer:

2 2/9

Step-by-step explanation:

6 1/3 - 4 1/9

1/3: 1x3 3x3= 3/9

1/9: 1x1 9x1= 1/9

3/9 - 1/9 = 2/9

6-4=2

Answer: 2 2/9

8 0
3 years ago
Solve for X<br><br> 5X+30/2=50<br> X=?
PIT_PIT [208]
5x + 15 = 50
-15 -15

5x= 35

X= 35
6 0
2 years ago
Read 2 more answers
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