Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
(Given)
(Given)
(Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[SAS congruence postulate]
Therefore, the correct option is B.
Answer:
2x^2+14x-240=0
Step-by-step explanation:
Remember Pythagoras's theorem?
a^2+b^2=c^2
So over here,
x^2+ (x+7)^2= 17^2 [ we need to now simplify (x+7)^2 --> (x+7) (x+7) ]
x^2+ x^2+7x+7x+49= 289
2x^2+ 14x+49= 289
2x^2+14x+49=0 [ we need to make the right side zero coz thats
the rule for ]
2x^2+14x-240=0
(idk, but i think the "show that x^2.....) is wrong)
Answer:
the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127
Step-by-step explanation:
S = the adult really has tuberculosis.
S' = complement of S = the adult does not has tuberculosis.
POS = the test gives a positive result
P(S)= 0.05
P(POS | S)=0.746
P(NEG | S')= 0.7653
this is an intersection because the "and" word
P(NEG ∩ S) = P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127