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4 years ago

7

What is the x intercept and y intercept of 5x-4y=6

1 answer:

Anit [1.1K]4 years ago

6 0

To find the x intercept you substitute 0 for y and vice versa (to find y sub 0 for x)

determining x intercept
y = 0
5x-4y=6
5x-4(0)=6
5x=6
--- ---
5 5
x = 6/5 or 1.2
When y is equal to 0, x is 6/5.
(6/5,0) or (1.2,0)

Determining y intercept
x = 0
5x-4y=6
5(0)-4y=6
-4y=6
---- ---
-4 -4
y = 6/-4 or 3/-2 or -1.5
when x is equal to 0, y is 3/-2. (0,3/-2 or 0,-1.5)

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Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$

95% of all values lie within the 1 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$

99.7% of all values lie within the 1 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

$\mu = 55\\\sigma = 4$

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$ = $(55-4,55+4)$ = $(51,59)$

95% of all values lie within the 2 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$ = $(55-2(4),55+2(4))$ = $(47,63)$

99.7% of all values lie within the 3 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$ = $(55-3(4),55+3(4))$ = $(43,67)$

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

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