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aivan3 [116]
3 years ago
7

39 POINTS !! PLEASE ANSWER THIS QUESTION !! THANK U SO MUCH I WILL GIVE U BRIANLIEST !!

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
3 0

Answer:

1st, third, fifth

Step-by-step explanation:

sqrt(3) is irrational, so dividing it by 2 won't do anything

1/3 is rational

54 is not a perfect cube, so it's irrational

27^{1/3} = cbrt(27)=3, rational

sqrt(0.25)=0.5. 0.5*0.5=0.25. rational

pi is irrational(3.1415926535897932384626433832...)

Igoryamba3 years ago
3 0

Answer:

1, 3, and 5 are irrational.

Step-by-step explanation:

\frac{\sqrt{3} }{2} is irrational because the square root of 3 is irrational, and if you divide it by 2, it will still be irrational!

2 is rational: the definition of a rational number is a number that can be expressed in the form a/b, where b is nonzero.

3 is not rational: 54 is not a perfect cube, therefore, its cube root will not be rational.

4 is rational. The square root of 0.25 is 0.5, which can be expressed in the form a/b, b is nonzero. 0.5 = 1/2!

5 is irrational. Pi is a famous irrational number, because it goes on forever without a pattern!

Hope this helps :) If you have any questions or concerns please feel free to reach out to me!

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Round the following number to four significant figures: 3.682417 *
Dovator [93]

Answer:

3.682

Step-by-step explanation:

We don't consider the decimal place or I should say comma so then we read from the first digit as long as it's not zero then until the fourth digit we look at the next digit if it's 5 or greater then we add 1 to the previous digit. And if the next digit is less than 5 then the digit won't change

7 0
3 years ago
Please help with my math
shusha [124]

Answer:

Step-by-step explanation:

These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.

If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.

RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.

x+5=16, subtract 5 from both sides.

x=11

5 0
3 years ago
Please helpppp !!!!!!!!!!!! Will<br> Mark Brianliest !!!!!!!!!!!!!!!!!!!!
Alexxx [7]

Answer:

71

Step-by-step explanation:

7 0
3 years ago
Can you answer this for me thank you
S_A_V [24]
Make it into a simultaneous equation:

5p + 4e = 7.65
4p + 5e = 7.20

Use adding/subtracting formula

The cost of an eraser is $1.44
3 0
3 years ago
A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili
Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

18x = 3*31

x = \frac{31*3}{18}

x = 5.17

So \mu = 5.17

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

P(X \leq 3) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057

P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294

P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760

P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242

Finally

P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0
4 years ago
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