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Vera_Pavlovna [14]
3 years ago
5

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act

ual temperature of the medium, and standard deviation σ. What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ? (Round your answer to four decimal places.)
Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

The standard deviation would have to be 0.05.

Step-by-step explanation:

We can solve this problem using the 68-95-99.7 rule for normal distributions:

The rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ?

This means that 2 standard deviations would need to be within 0.1 of the mean. So

2\sigma = 0.1

\sigma = \frac{0.1}{2}

\sigma = 0.05

The standard deviation would have to be 0.05.

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3 years ago
Find the exact solution of -x2 +7x + 5 = 0 by using the Quadratic Formula.
jonny [76]

Answer:

The answer to your question is:

x 1 = -0.65

x2 = 7.65

Step-by-step explanation:

Equation              -x² + 7x + 5 = 0

a = -1

b = 7

c = 5

Quadratic formula     x = -b ±√(b² -4ac) / 2a

                                   x = - 7 ± √(7² -4(-1)(5) / 2(-1)

                                   x = -7 ± √(49 + 20) / -2

                                  x = -7 ± √69 / -2

                                   x = - 7 ± 8.3 / -2

               x1 = -7 + 8.3 / -2                         x2 = -7 -8.3 / -2

               x 1 = -0.65                                  x2 = 7.65

7 0
3 years ago
In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they
elena-14-01-66 [18.8K]

Answer:

Don’t make sense sorry

Step-by-step explanation:

8 0
3 years ago
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Sloane kicked a soccer ball off the ground at a speed of 56 feet per second. the height of the ball can be represented by the fu
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The time in seconds that it took the ball to travel would be = 0.25 seconds.

<h3>Calculation of speed time</h3>

Speed can be defined as the distance covered by an object per unit time.

The speed used to kick the soccer off the ground = 56 feet per second.

The height equation= −16t² + 56t

The time= ?

The formula for speed = distance/time

56= −16t² + 56t/t

56t = −16t² + 56t/t

−16t² = -56t + 56t

−16t² = 0

Make t the subject formula,

t = √1/16

t = 0.25 seconds.

Learn more about speed here:

brainly.com/question/4931057

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6 0
2 years ago
Surface Area Of Cylinders <br><br> Please show work<br><br> It would make my year if you helped
jeka94

Answer:

1st cylinder: 3541.9 square mm

2nd cylinder: 439.6 square cm

Step-by-step explanation:

s = 2\pi r^{2} + 2\pi rh\\s = 2(3.14)(12)^{2} + 2(3.14)(12)(35)\\s = 6.28(144) + 6.28(420)\\s = 904.32 + 2637.6\\s = 3541.92\\s = 3541.9

Second cylinder.

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7 0
2 years ago
Read 2 more answers
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