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Volgvan
3 years ago
5

Need help! Can anyone please help me? It would be much appreciated. Please view the attached photo. Will mark as brainliest!

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

  B)  0.0073 mm/s

Step-by-step explanation:

The rate of change of area is the product of the circumference and the rate of change of radius:

  dA/dt = C·dr/dt

  dr/dt = (dA/dt)/C

Of course, C = 2πr, so ...

  dr/dt = (7 mm²/s)(2π·152 mm) ≈ 7/955.04 mm/s ≈ 0.0073 mm/s

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The answer is A.33.33%.

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3 years ago
​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
zheka24 [161]
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
                                                                         
19</span>²<span> = 13</span>²<span> + X</span>²<span> 
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361 = 169 + X</span>²<span> 
X</span>²<span> = 361 - 169
                                                                     
X</span>²<span> = 192
                                                                             
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3 0
3 years ago
A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

Z = \frac{X - \mu}{\sigma}

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

5 0
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Answer:

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Answer:

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