Is the square root of 6 a solution to x squared equals 36

How many times can 95 go into 96

Tanzania [10]

Answer:24 times

Step-by-step explanation:Hi there!

First of all, division is the opposite of multiplication. So if I

divide 72 by 3 I should get 24, since 3*24 = 72.

(You might notice that our division looks sort of like the

multiplication:

24

X 3

___

12

60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute: (This lets us ignore the place

value, etc.)

----

3|7?

Now let's ask: How many times does 3 go into 7?

You can make whatever guess you want. But since we have a good idea of

what the answer should be, let's guess 2.

Now we write the 2 above the 7 like this:

2

----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

2

----

3| 7?

-6

__

1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how

many times 3 goes into 12, and so on.

Anyway:

2

----

3| 72

-6 | <---that's supposed to be an arrow reminding you that we're

__\ / bringing down the 2 to make 12

12

Ok. So, how many times does 3 go into 12? Let's guess 4 (sorry, I'm

cheating since I know the answer already!)

24

----

3| 72

-6

-

12

Now let's multiply 3 X 4. Wow! We get 12. If we subtract 12-12

24

----

3| 72

-6

-

12

- 12

---

0

Now, we can check to make sure that 3 X 24 really does equal 72, and

we're done.

4 0

3 years ago

Which of these triangles is not possible?

Firdavs [7]

Answer:

d

Step-by-step explanation:

5 0

2 years ago

Simplify the expression. Write the answer using scientific notation. (4 × 108)2

Tom [10]

Answer:

864

Step-by-step explanation:

(4)(108)(2)

=(432)(2)

=864

3 0

3 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

deff fn [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The average price is $\= x = \$ 112$

The population standard deviation is $\sigma = \$ 16$

The level of significance is $\alpha = 0.05$

The population mean is $\mu = \$ 108.5$

The null hypothesis is $H_o : \mu = 108.50$

The alternative hypothesis is $H_a : \mu \ne 108.50$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }$

=> $z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }$

=> $z = 1.75$

From the z table the area under the normal curve to the left corresponding to 1.75 is

$P( Z > 1.75) = 0.040059$

Generally p-value is mathematically represented as

$p-value = 2 * P( Z > 1.75)$

=> $p-value = 2 * 0.040059$

=> $p-value = 0.08012$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

3 0

3 years ago

Needed help with a algebra 2 question if so...

erma4kov [3.2K]

Answer:

Quadrant II

Step-by-step explanation:

Since there are 360 degrees in a circle we will subtract it from 860 until we get a number less than 360

$860-360=500\\500-360=140$

Since it less than 180 but more than 90 it will be in the second quadrant

Hope this helps! <3

5 0

3 years ago