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Rudik [331]
4 years ago
7

What the the distance between the points 6,2 and 1,2

Mathematics
1 answer:
yawa3891 [41]4 years ago
5 0

The distance is given by:

\left(x_1,\:y_1\right) and \:\left(x_2,\:y_2\right)\rightarrow\left(6,\:2\right) and \:\left(1,\:2\right)

\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} = \sqrt{\left(1-6\right)^2+\left(2-2\right)^2} = 5


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(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0
Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

P(A)+P(B)+P(A\cap B)=P(A\cup B)

We know that

Maximum value of P(A\cup B)=1 and minimum value of P(A\cup B)=0

0\leq P(A\cup B )\leq 1

0\leq P(A)+P(B)-P(A\cap B)\leq 1

0\leq 0.4+0.7-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)

P(A\cap B)\leq 1.1

It is not possible that P(A\cap B) is equal to 1.1

1.1-P(A\cap B)\leq 1

-P(A\cap B)\leq 1-1.1=-0.1

Multiply by (-1) on both sides

P(A\cap B)\geq 0.1

Again, P(A\cup B)\geq P(B)

0.4+0.7-P(A\cap B)\geq 0.7

1.1-P(A\cap B)\geq 0.7

-P(A\cap B)\geq -1.1+0.7=-0.4

Multiply by (-1) on both sides

P(A\cap B)\leq 0.4

Hence, 0.1\leq P(A\cap B)\leq 0.4

3 0
3 years ago
Please help! will give brainliest. click for the picture
vesna_86 [32]

Answer:

Gimme some time

Step-by-step explanation:

4 0
3 years ago
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In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.
Stels [109]

8

Step-by-step explanation:

  • Critical Path Analysis is presented using the circle and arrow diagrams.
  • Earliest Start Time = the earliest possible time of  starting the activity
  • An arrow running between two event circles shows the activity needed to complete that task.
  • All arrows run left to right
  • Time for doing just task E = 8 hours (as shown in the figure)

7 0
4 years ago
Question 8: Find the equation of the straight line that:
Scorpion4ik [409]

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

8 0
3 years ago
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I don't understand can some one help me plz
vaieri [72.5K]
The answer is 7.76 because the fraction written as a decimal would be 7.76 and not any of the other choices they want you to find which number is equal to the fraction number 
6 0
3 years ago
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