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tekilochka [14]
3 years ago
10

3(5z-7)+2(9z-11)=4(8z-7)-111

Mathematics
2 answers:
NISA [10]3 years ago
5 0
3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111
15z - 21 + 18z - 22 = 32z - 28 - 111
33z - 43 = 32z - 139
33z - 32z = -139 + 43
z = - 96
nika2105 [10]3 years ago
3 0
Hey there, Lets solve this together. 

3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111

15z - 21 + 18z - 22 = 32z - 28 - 111

33z - 43 = 32z - 139

33z - 32z = -139 + 43

z = - 96

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Explain how to graph the given piecewise-defined
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The Piecewise -Defined function and how it is graphed is given below..

<h3>What is the explanation of how the Piecewise -Defined function is graphed?</h3>

Given the function in the attached image,

  • The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.
  • The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.
  • The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.

See the attached Graph for better understanding.

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5 0
2 years ago
Find the equation of the circle that passes through the point (-3,1) and has its center at C(-4,6)
qaws [65]

Answer:

(x+4)^2 + (y-6)^2 = 29

Step-by-step explanation:

The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)

Replacing the center C(-4,6):

(x+4)^2 + (y-6)^2 = r^2

then replacing the point (-3,1):

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then the equation of the circle is:

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The mean time from prescription drop-off to medicine pickup for a customer served at Heisenberg's Pharmacy is 64 minutes, with a
kari74 [83]

Answer: B. 0.4772

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Given : The mean time : \mu=64\text{ minutes}

Standard deviation : \sigma=18\text{minutes}

Let X be the service time of a randomly selected customer.

Assuming a normal distribution, the value of z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x = 64

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For x = 100

z=\dfrac{100-64}{18}=2

The p-value =P(64

P(z

Hence, the  probability that a randomly chosen customer experiences service done between 64 and 100 minutes = 0.4772

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