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Nataly_w [17]
3 years ago
11

If a circle has a diameter of two what would the area be

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

3.14

Step-by-step explanation:

d=2

A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
What is the slope of the line graphed below
Nat2105 [25]

Answer:

mx + y = c slope = - 4 and y - intercept = 2 , then the equation of line is mx + y = c .

Step-by-step explanation:

If I am wrong sorry If I am right mark me brainliest

3 0
3 years ago
Solve for x on each of these questions please!
IgorLugansk [536]

Answer:

1. x = 10

2. x = 4

Step-by-step explanation:

I use the angle ABC method:

AB² + AC² = BC²

6² + 8² = x²

x = 10

AB² + AC² = BC²

3² + x² = 5²

x = 4

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5 0
2 years ago
Can someone please help me with this​
vovangra [49]

Answer:

y = 5

z = 55

Step-by-step explanation:

90 - 35 = 55

z = 55

7y = 35

\frac{7y}{7} = \frac{35}{7}

y= 5

3 0
3 years ago
If a watermelon weighs 6 255 grams and a scales measures the weight 6 475 grams. What is the scales percent error
Liono4ka [1.6K]

Answer:scales percent error=3.51%

Step-by-step explanation:

P ercent error = Experimental value - Theoretical value /Theoretical value  x 100

Theoretical value = 6255 grams

Experimental value ( use of scale ) = 6475grams

Percent error =(6475- 6255)grams / 6255grams x 100

=220/6255 x 100

=3.51%

6 0
3 years ago
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