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Amanda [17]
3 years ago
15

Racionalize o denominador da equação abaixo: 5 + 3 ²√5 / ²√5

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
I hope this helps

\cfrac{5+3 \sqrt{5} }{ \sqrt{5} } =\cfrac{(5+3 \sqrt{5}) \sqrt{5}  }{ \sqrt{5}* \sqrt{5}  }= \cfrac{5 \sqrt{5}+15 }{5}  = \cfrac{5 (\sqrt{5}+3) }{5}  = \sqrt{5}+3
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The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi
Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

          Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = mean diameter = 106 millimeters

            \sigma = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

    P(X > 111) = P( \frac{ X - \mu}{\sigma} > \frac{111-106}{4} ) = P(Z > 1.25) = 1 - P(Z \leq 1.25)

                                                  = 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0
3 years ago
For a class project, Henry needs to know how many students at M College think that
grandymaker [24]

The estimated number of students at the M College who agree climate change is a serious issue is  1759

The percentage of total students is 59.42%

The method used can be biased.

<h3>How many students believe climate change is a serious issue?</h3>

The students surveyed are the sample while the students in the M College are the population. A population is the party of interest in an experiment. A population consists of all the members of the group. A sample is a smaller group of the population.

The limitation of using a sample to estimate for the population is that the sample might be a biased estimate of the population. If the sample is biased, the result of the experiment would be inaccurate.

Estimated number of students at M College = (sample that agree that climate change is a serious problem / total number of people surveyed) x number of students

(205 / 345) x 2960 = 1759

Percentage = (1759 / 2960) x 100 = 59.42%

To learn more about surveys, please check: brainly.com/question/11657686

#SPJ1

5 0
1 year ago
Solve the equations: |x-1|/|x-1| = 1
Tanya [424]
X = 2
The absolute value lines basically just serve as parentheses in this equation.
(2-1)/(2-1) = 1
(1)/(1) = 1
6 0
3 years ago
Read 2 more answers
Which equation can you use to find the value of x?
Vadim26 [7]

Answer:

I would say bottom left

Step-by-step explanation:

It is the most plausible to the equation

5 0
3 years ago
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To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches? A) 15.7inche
Soloha48 [4]
Very sure it’s C trust the process
4 0
3 years ago
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