Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
Answer:
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First solve for one variable
(I chose bottom equation because it’s easier)
Get y alone: Y = 5x
Now that we have y we can plug y into the top equation
Plug in 5x for y: 2x + 5x = 7
Solve for x: 7x = 7
X = 1
Now plug in the x value into the bottom equation to solve for y
Y = 5(1)
Y= 5
So, x = 1 and y = 5
Answer:
Step-by-step explanation:
The given expression is,
We apply the laws of indices to rewrite as a positive index to get,
We substitute
to obtain,
This simplifies to,
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"