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otez555 [7]
2 years ago
10

Pedro fills a glass 2/4 full with orange juice. Write a fraction with a denominator of 6 that us greater than 2/4. (Please show

me how you found it)
Mathematics
2 answers:
Setler79 [48]2 years ago
4 0
Ok...so 2/4 = 1/2 or 0.5.....and u want a fraction with a denominator of 6 greater then this...

3/6 is not greater, it is equal....so try 4/6.......4/6 = 0.66....so it is greater then 2/4 and has a denominator of 6
iris [78.8K]2 years ago
3 0

Answer:

\frac{4}{6}\ is\ greater\ than \frac{2}{4}.

Step-by-step explanation:

As given

Pedro fills a glass \frac{2}{4} full with orange juice.

Now \frac{2}{4} is written in the decimal form .

\frac{2}{4} = 0.5

Now find out  a fraction with a denominator of 6 that us greater than  \frac{2}{4} .

First take

\frac{1}{6} = 0.16\ (Approx)

Thus

Clearly \frac{1}{6}\ less\ than\ \frac{2}{4}.

Sceond take

\frac{2}{6} = 0.33

Thus

\frac{2}{6}\ less\ than\ \frac{2}{4}.

Clearly \frac{2}{6}\ less\ than\ \frac{2}{4}.

Third take

\frac{3}{6} = 0.5

Thus

\frac{3}{6}\ is\ equal\ to \frac{2}{4}.

Fourth take

\frac{4}{6} = 0.66\ (Approx)

Thus

\frac{4}{6}\ is\ greater\ than \frac{2}{4}.

Therefore \frac{4}{6}\ is\ greater\ than \frac{2}{4}.

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Determine the area (in units2) of the region between the two curves by integrating over the x-axis. y = x2 − 24 and y = 1
astra-53 [7]

Answer:

The area of the region between the two curves by integration over the x-axis is 9.9 square units.

Step-by-step explanation:

This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:

x^{2} - 24 = 1

Given that resulting expression is a second order polynomial of the form x^{2} - a^{2}, there are two real and distinct solutions. Roots of the expression are:

x_{1} = -5 and x_{2} = 5.

Now, it is also required to determine which part of the interval (x_{1}, x_{2}) is equal to a number greater than zero (positive). That is:

x^{2} - 24 > 0

x^{2} > 24

x < -4.899 and x > 4.899.

Therefore, exists two sub-intervals: [-5, -4.899] and \left[4.899,5\right]. Besides, x^{2} - 24 > y = 1 in each sub-interval. The definite integral of the region between the two curves over the x-axis is:

A = \int\limits^{-4.899}_{-5} [{1 - (x^{2}-24)]} \, dx + \int\limits^{4.899}_{-4.899} \, dx + \int\limits^{5}_{4.899} [{1 - (x^{2}-24)]} \, dx

A = \int\limits^{-4.899}_{-5} {25-x^{2}} \, dx + \int\limits^{4.899}_{-4.899} \, dx + \int\limits^{5}_{4.899} {25-x^{2}} \, dx

A = 25\cdot x \right \left|\limits_{-5}^{-4.899} -\frac{1}{3}\cdot x^{3}\left|\limits_{-5}^{-4.899} + x\left|\limits_{-4.899}^{4.899} + 25\cdot x \right \left|\limits_{4.899}^{5} -\frac{1}{3}\cdot x^{3}\left|\limits_{4.899}^{5}

A = 2.525 -2.474+9.798 + 2.525 - 2.474

A = 9.9\,units^{2}

The area of the region between the two curves by integration over the x-axis is 9.9 square units.

4 0
2 years ago
What is the multiplicative inverse of -0.7?
Verizon [17]

Answer:

The multiplicative inverse of -0.7 is -1/0.7

hope it helps

6 0
2 years ago
An urn contains 12 balls, five of which are red. Selection of a red ball is desired and is therefore considered to be a success.
SVEN [57.7K]

Answer:

2/10

Step-by-step explanation:

8 0
2 years ago
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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
1 year ago
You travel 5 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 6 miles upstream at a speed
Vlad1618 [11]
Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph 
3 0
2 years ago
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