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Juliette [100K]
3 years ago
10

PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST: Which geometric solid is the best model for the head of a human being?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

Answer:

sphere

Step-by-step explanation:

Human heads are close to circles and sometimes are circles

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In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali
Leviafan [203]

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

X \sim  -ve  \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}

= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}

= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}

= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}

= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}

= 0.0087999

≅ 0.0088

5 0
2 years ago
Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
GaryK [48]

Answer:

f'(x) = -28 \ at  \ x = 2

Step-by-step explanation:

f'(2) =  \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) =   \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\

       = \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28

4 0
2 years ago
Find the distance between the points (0, 6) and (2, 3).
bogdanovich [222]
Distance= √((x2-x1)²+(y2-y1)²) = √((6-3)²+(0-2)²)=√(9+4)=√13  ≈ 3.61
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3 years ago
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Solve for m.<br><br> m+14&lt;−1 2/5
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Step-by-step explanation:

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A negative correlation: when the number of years increase the value of the car decrease.
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