Answer:

Step-by-step explanation:
-This is a binomial probability problem.
-Given the probability of catching a cold is 0.03, n=6
#The probability of exactly 3 people catching a cold is calculated as:

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928
Answer:
22.05
Step-by-step explanation:
i used a calculator
<span>Is that supposed to be:
(a²b³)⁴
If so, the exponent of an exponent is the product of the exponents, so we end up with:
a⁸b¹²</span>
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle =
× base × height
Area of the base =
× 22 × 19.1 = 210.1
Area of the sides =
× 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle =
× 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660