Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
Answer:
23/54 meters
Step-by-step explanation:
Assuming that the scale model is smaller, then the scale model should be 1/27th of the actual thing. Therefore:
11.5/27
= 23/54 meters tall
The probability that at least one child among the 3 will get influenza is 0.07.
<h3>Define probability.</h3>
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given,
3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine
Probability that at least one child among the 3 will get influenza
P(at least one child among the 3 will get influenza)
= 1 - P(no one have influenza)
= 1 - (1- 0.0.378)(1-0.017)²
= 1 - 0.93
= 0.07
The probability that at least one child among the 3 will get influenza is 0.07.
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Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs