We have to find the probability N(11,2)>12, wherein N(11,2)
is the normal law with mean 11 and standard deviation 2.
Using a scientific calculator we get the probability 0.3.
Now multiply by the population which is 1000 like this:
0.3*1000=300.
There is 300 <span>spiders in the colony which weigh more than 12 grams</span>
Answer:
<u><em>1: "An equilateral triangle is never an obtuse triangle" & "An equilateral triangle is never an isosceles triangle."
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<u><em>2: Acute Isosceles Triangle
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<u><em>3: False! Option B.
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<u><em>4: D</em></u>
Step-by-step explanation:
2: Isosceles Triangles have two equal sides. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
3: An <u>equilateral triangle</u> is a triangle in which all the sides and all the angles are equal.
4: In order for a triangle to be <u>isosceles</u>, it has to have two same sides. For a triangle to be <u>equilateral</u>, all sides and angles need to be the same. Refer to reasoning in Question 2 for next explanation.
ANSWER

EXPLANATION
We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.
This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

Expand:

Group similar terms:


Divide both sides by -3.2,


Answer:
Correct rate of change is -5; correct initial value is 3.
Step-by-step explanation:
The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.
The initial value of the function is found by letting x = 0. Here, we get
y = -5(0) + 3, or y = b = 3. The initial value is 3, not -5.