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tangare [24]
3 years ago
15

The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.

Find the probability that a bulb lasts for more than 6300 hours. Round answer to four decimal places. (TIP: calculate z-value and use z-probability distribution table.)
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

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If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t
Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:  

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

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13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

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Break this problem into two subproblems by setting  

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6 0
2 years ago
7a - 17 = 9a + 1 (Finding Common Denominators)
MA_775_DIABLO [31]
<span>Answer:
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<span>a=<span>6</span></span>
8 0
3 years ago
I need to find x can someone please help
PIT_PIT [208]

Answer:

\boxed{\boxed{\tt x=87^{\circ}}}

Step-by-step explanation:

We know that a triangle has 3 sides, A triangle's interior angles add up to 180 degrees.

Now, let's write this as an equation:

\tt x^{\circ}+37^{\circ}+56^{\circ}=180^{\circ}

The missing angle is 180° minus the sum of the other two angles.

\tt x^{\circ}=180^{\circ}-56^{\circ}-37^{\circ}

Subtract the numbers:

\tt 180^{\circ}-56^{\circ}-37^{\circ}=87^{\circ}

\tt x=87^{\circ}

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