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:
Option 3, p(0) = -10
Option 4, p(10) = 0
Step-by-step explanation:
<u>Step 1: Check</u>
x - 10 + 10 = 0 + 10
<em>x = 10</em>
f(0) = 0 - 10 = -10
x = -10
<em>p(10) = 0</em>
Answer: Option 3, p(0) = -10, Option 4, p(10) = 0
Answer:
x=34
Step-by-step explanation:
x+(x+12)+(100) = 180
2x+112=180
x=68
x=34
n = # of days
45 = 2.5n + 2n
45 = 4.5n
n = 10
He can paint 45 structures in 10 days
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
