Answer:
5
Step-by-step explanation:
Answer:
Coordinates of M = (2, -1)
Length of AB = 10 units
Step-by-step explanation:
Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)
Let 
Thus:
Length of AB:
Distance between A(2, 4) and B(2, -6):
Let,
Answer:
21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse (opposite the right angle)
20^2 +b^2 = 29^2
400 + b^2 =841
Subtract 400 from each side
400-400 +b^2 = 841-400
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b = 21
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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Answer:
2.8a²+0.9a - 1.2
Step-by-step explanation:
Given the expression 0.3(3a-4)-0.05(8a)(-7a)
Expand using the distributive law
0.3(3a-4)-0.05(8a)(-7a)
0.3(3a)-0.3(4)-0.05(8a)(-7a)
0.9a-1.2 - 0.05(8a)(-7a)
0.9a - 1.2 + 2.8a²
Rearrange
2.8a²+0.9a - 1.2
Hence the required expression is 2.8a²+0.9a - 1.2
