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Sladkaya [172]
2 years ago
14

for small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-l=al(t-t), wh

ere g is the length of the object at temperature t, and l is the length at temperature t, and a is a constant which depends on the type of metal. a rod is 135 cm long at 115 degrees f and made of a metal with a=10^-3. write an equation giving the length of this rod at temperature t(because a=10^-3 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

  • A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius.
  • According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

Learn more about temperature here: brainly.com/question/24746268

#SPJ9

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Step-by-step explanation:

x2 + x = 306

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x ( x + 18) - 17 (x +18) =0

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HELP. WILL MAKE BRAINLIEST Make a true congruence statement about the following triangles:
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2 years ago
The formula I = PRT is used to calculate the amount of simple Teresa earned. Solve this formula for T
Dmitrij [34]

To solve this formula for T, divide both sides of the original equation by PR:

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8 0
3 years ago
A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99
dlinn [17]

99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

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4 0
2 years ago
A certain article reported the following observations, listed in increasing order, on drill lifetime (number of holes that a dri
aleksklad [387]

Answer:

Sample mean =119.42

Median = 92

25% trimmed mean = 102.42

10% trimmed mean = 95.69

Step-by-step explanation:

Data in increasing order :

12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513

Total no. of observations = 50

Sample mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}

= \frac{5971}{50} = 119.42

Median: Since we have even number of observation

Median = \frac{1}{2}({25\text{th term} + 26\text{th term}) = \frac{91+93}{2} = 92

10% Trimmed Mean: We remove 5 values from each side

Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{4097}{40} = 102.42

25% Trimmed Mean: We remove 12 values from each side.

Trimmed set =  66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{2488}{26} = 95.69

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