Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
Answer:
x<16
Step-by-step explanation:
number<em> n
</em>
eight less than four times a number ... 4 x <em>n</em> - 8
is less than 56 ... < 56
4 x <em>n</em> - 8 < 56
4 x <em>n</em> < 56 + 8
4 x<em> n</em> < 64/4
<em>
n</em> < 64 / 4
<em>n</em> < 16
Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.
<h3>Equation</h3>
- Juri's age = x
- Pamela's age = x - 7
- Their total age = 39
x + (x - 7) = 39
x + x - 7 = 39
2x = 39 + 7
2x = 46
x = 46/2
x = 23
Therefore,
Juri's age = x
= 23 years
Pamela's age = x - 7
23 - 7
= 16 years
Learn more about equation:
brainly.com/question/2972832
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Just try to follow my description. When two persons are in the cabin, there is only 1 handshake. When a third person comes, he will have to handshake the two people who came before him. So, there will be 2 handshakes. When a fourth person comes, he would make 3 handshakes with the 3 people who came before him. When the fifth person comes, he would make 4 handshakes with the 4 people who came before him. So, you see there is a pattern. The number of handshakes is 1 less than the total number of people inside the cabin. So, if there are 14 people in the cabin, the last person to come in would have to make 13 handshakes with the 13 people who came in first. Obtaining the sum of all the handshakes starting from the 2 handshakes initially to the 13 handshakes, the sum would be
Total handshakes = 2+3+4+5+6+7+8+9+10+11+12+13
Total handshakes = 90
Therefore, there will be a total of 90 handshakes made within the cabin of 14 people.
Answer:
Step-by-step explanation:
Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.
However;
Let use X to represent the time required for the delivery.
Then X~N(3.8 ,0.8)
i.e
E(x) = 3.8
s.d(x) = 0.8
NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)
= P(Z > 0.25)
= 1-P(Z < 0.25)
=1 - Φ (0.25)
= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )
= 0.4013
Thus; the probability a single delivery would take more than 4 hours is 0.4013
What is the z value corresponding to the interval boundary?
The z value is calculated as:
z = 0.25
