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Fantom [35]
3 years ago
9

Which equation below has a slope greater than the slope of the line shown above?

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

B.y = 3x - 1

Step-by-step explanation:

Pick two points on the line

(0,1) and (2,5)

The slope using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 5-1)/(2-0)

  = 4/2

  = 2

We want a slope that is greater than 2

The slope intercept form of the equation is

y = mx+b where m is the slope

y = 3x - 1  has a slope of 3 which is greater than 2

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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

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

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

In which \lambda 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^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
4 years ago
ANSWER PLS! DUE TODAY!!!
makvit [3.9K]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Need help,please and thank you
Daniel [21]
X=90 which (180-90) is 90 for m and n
4 0
3 years ago
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in fron
maxonik [38]

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

5 0
3 years ago
find the coordinates of the points D ( 4, -4 ) and E ( 5, -5 ) after the transformation ( x; y ) ( x + 3, y -5
postnew [5]

Answer:

second option

Step-by-step explanation:

Given the rule

(x, y ) → (x + 3, y - 5)

This means add 3 to the original x- coordinate and subtract 5 from the original y- coordinate, that is

D(4, - 4 ) → D'(4 + 3, - 4 - 5 ) → D'(7, - 9 )

E(5, - 5 ) → E'(5 + 3, - 5 - 5 ) → E'(8, - 10 )

7 0
3 years ago
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