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creativ13 [48]
3 years ago
5

What are the steps for adding two fractions that have the same signs?

Mathematics
2 answers:
rewona [7]3 years ago
4 0
You add the top two numbers and denominator stays the same
Alexeev081 [22]3 years ago
3 0

Answer:

You add the top numbers together and keep the denominator the same if the denominator is already both the same. If not, make sure the denominatoris the same first

Ex: 3/4+6/8=6/8+6/8=12/8=1 4/8=1 1/2

You might be interested in
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

Step-by-step explanation:

Previous concepts

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".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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 tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

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

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
2 years ago
Calculate the length of the unknown side of this right angled triangle
azamat

Answer:

12.04

Step-by-step explanation:

Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,

a^2 + b^2 = c^2

We already have a and b which are 8 and 9 so we plug them in.

(8)^2 + (9)^2 = c^2

64 + 81 = c^2

145 = c^2

c = 12.04 rounded to the nearest hundredth.

<em>Thus,</em>

<em>the unknown side is about 12.04.</em>

<em />

<em>Hope this helps :)</em>

8 0
3 years ago
The sum of three consecutive numbers is 72. What is the largest of these numbers?
kicyunya [14]
3 consecutive numbers....x, x + 1 and x + 2

x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
x = 69/3
x = 23

x + 1 = 23 + 1 = 24
x + 2 = 23 + 2 = 25

so ur numbers are 23,24,25 with 25 being the largest
6 0
3 years ago
Read 2 more answers
Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan
Keith_Richards [23]

Answer:

a) 1.

Step-by-step explanation:

Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.

Luego, el conjunto de los cinco enteros positivos se puede expresar como

A = {a; a+1; a+2; a+3; a+4}

Dada la condición del problema, se debe cumplir que

a + (a+1) + (a+2) = (a+3) + (a+4)

⇒  3a + 3 = 2a + 7

Resolviendo la ecuación resulta

a = 4

Luego, el conjunto A nos resulta

A = {4; 5; 6; 7; 8}

Puede concluirse que sólo un conjunto cumple con esta condición.

5 0
2 years ago
Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =
Effectus [21]

Answer: 21

Step-by-step explanation:

Ok so first of all the numbers in the parentheses go first.

So 6 to the power of 2 (6^2) would be 6x6 which equals 36

50-36=14

After that you just keep rewriting the problem after every step.

Since the 3 is outside of the parentheses, you would multiply it with the 14

3x14=42

Finally 42÷ 2=21

3x (50 - 6^2) ÷ 2 =

        3(14)÷ 2

           42÷ 2= <u><em>21</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>Hope this helps (:</em></u>

<u><em>Btw sorry if it's a bit confusing but the answer is 21</em></u>

6 0
2 years ago
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