Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer:
the answer is
x=8
Step-by-step explanation:
3x = 24
divide
Answer:
A. 112π units³
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cone Formula: 
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
Radius <em>r</em> = 4
Height <em>h</em> = 21
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cone Formula]:

- Evaluate exponents:

- Multiply:

- Multiply:

- Multiply:

Answer:
x ≥ 1/2
Step-by-step explanation:
6x + 21 ≥ 24
6x ≥ 3
x ≥ 1/2
check: (1/2 x 6) + 21 = 24