The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)
Answer:
D = 98
Step-by-step explanation:
if you add up 59 + 39 you get 98 meaning D is 98
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
10⁻⁶
Step-by-step explanation:
Since the volume of saliva coughed up by my friend is 0.0100 cm³ and 10⁺⁹ of this volume contains the virus. The volume containing the virus is thus V = 0.0100 cm³ × 10⁺⁹ = 0.0100 × 10⁺⁹ cm³ = 0.0100 × 10⁺⁹ × 10⁻⁶ m³ = 0.0100 × 10⁺¹⁵ m³.
Now, since the flu virus is spherical, its volume is v = 4πr³/3 where r is its radius.
Let n flu viruses be contained in the volume V of flu viruses coughed out by my friend.
So n × v = V
v = V/n
4πr³/3 = V/n
r = ∛(3V/4πn)
substituting the value of V into the equation, we have
r = ∛(3 × 0.0100 × 10⁺¹⁵ m³/4πn)
r = (∛0.03/4πn) × 10⁻⁵ m
r = 0.1336/∛n × 10⁻⁵ m
r = 1.336/∛n × 10⁻⁶ m
Since the factor 10⁻⁶ is found in the radius, the order of magnitude of the influenza virus that have just landed on me are of the order 10⁻⁶
Answer:
Angle L is a base angle and measures 72°.
Step-by-step explanation:
Triangle JKL is isosceles.
The measure of angle J is 72°
The measure of angle K is 36°
Angles in a trinagle add up to 180° so angle L is;
180° - (36° + 72°) = 72°
An isosceles triangle means that two of its sides are equal and two base angles are equal. So base angles are angles J and L and measures 72° each.