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Verizon [17]
3 years ago
12

Find the inequality represented by the graph ​

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

  • y > 1/3x - 3

Step-by-step explanation:

<u>Finding the line using the points:</u>

  • (0, -3) and (3, -2)

<u>The equation:</u>

  • y = mx + b

<u>The slope is:</u>

  • m = (-2 + 3)/(3-0) = 1/3
  • y- intercept is -3

<u>So the line is:</u>

  • y = 1/3x - 3

<u>As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:</u>

  • y > 1/3x - 3
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Help please it’s due in 20 minutes
blagie [28]

Answer:

X = 34 (by Pythagoras theorem)

STEP BY STEP:

(30) ^2 +(16)^2 =1156

Root 1156 =34

I hope it helps :))

4 0
2 years ago
The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?
zheka24 [161]

Answer:

10^{0.4785+1.468x}=y

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: log(y)=0.4785+1.468x. And generally a logarithm can be written in the form log_ba=c which can then be rewritten as b^c=a, but since the log has no base, it's assumed to be 10. So in this case you have the equation:

log_{10}y=0.4785+1.468x, which can then be written in exponential form as:

10^{0.4785+1.468x}=y

8 0
1 year ago
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com
My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2  

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

​alpha=3.014

To calculate beta we would have to use the following formula:

β=  V(X) ∧2/E(X)

β=(21.6)  ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2  

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2  

​Therefore, P(50<X<75)=P(X<75)−P(X<50)  

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

​

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0
3 years ago
Solve the system 3x+y=2 5x-y=8
Citrus2011 [14]

Answer:

x= 5/4 ; y= -7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2;5x−y=8

Step: Solve3x+y=2for y:

3x+y+−3x=2+−3x(Add -3x to both sides)

y=−3x+2

Step: Substitute−3x+2foryin5x−y=8:

5x−y=8

5x−(−3x+2)=8

8x−2=8(Simplify both sides of the equation)

8x−2+2=8+2(Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=−3x+2:

y=−3x+2

y=−3(

5

4

)+2

y=

−7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

−7

4

3 0
3 years ago
Acompany makes toy plastic soccer balls each with a radius of 3 inches. How many square inches of plastic does the
drek231 [11]

Answer:

i think it number 1 113.0 in

3 0
3 years ago
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