Answer:
alternate interior angles are always congruent.
Step-by-step explanation:
- Consecutive [Same-side] exterior angles are always supplementary.
- Consecutive [Same-side] interior angles are always supplementary.
- Corresponding angles are always congruent.
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A+b=2 and ab=-48, let a=x and y=b
x+y=2 implies y=2-x
xy=-48 implies x(2-x)=-48
so 2x-x^2+48=0
The following compounding formula applies:
A = P (1+R/2)^2t
Where, A = Amount after 5 years = $26,000; P = Amount invested now; R = Annual rate of earning = 6% = 0.06; t = time = 5 years.
Substituting;
26000 = P(1+0.06/2)^2*5 = P(1.3439)
Therefore, P = 26000/1.3439 = $19,346.44
The correct answer is d.
Answer:
d. Yes. All conditions for inference have been met.
Step-by-step explanation:
A study was conducted to investigate the effectiveness of a new drug whether it could significantly reduce pan in people with arthritis.
From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2).
It is given that the people in the study were selected randomly.
The pooled proportion is given by
Pe = no. of people who reported pain relief in both groups/total number of people
Pe = (225 + 150)/500
Pe = 375/500
Pe = 0.75
Now let us check the condition np ≥ 10
250*0.75
187.5 ≥ 10
Satisfied
Now let us check the condition n(1 - p) ≥ 10
250(1 - 0.75)
250*0.25
62.5 > 10
Satisfied
Therefore, all conditions for inference have been met option d is the correct option.
Daniel because 3/4 is larger than 5/12 if you cross multiply.
