Answer:
a 0.5
b 0.4831
c 0.4354 < P < 0.53008
Step-by-step explanation:
Given that :
Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5
Sample size (n) = 296
Selected sample (X) = 143
a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
The proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5
b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?
Point estimate 
= 
= 0.4831
c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.
The
for 90% is 1.645
Using the formula P" -E < P < P" + E
where E = margin of error : 



= 0.0477
∴ P" -E < P < P" + E
= 0.4831 - 0.0477 < P < 0.4831 + 0.0477
= 0.4354 < P < 0.53008
Equivalent equations are equations of equal values
The system of equations from the given equation are:
and 
The logarithmic equation is given as:

Split the above equation as follows:


Rewrite
as:

Hence, the system of equations from the given equation are:
and 
Read more about systems of equations at:
brainly.com/question/14265399
Answer:
12x+20
Step-by-step explanation:
2(5x+2)+2(x+8)
or (simplified)
10x+4+2x+16=12x+20
The answer to your problem is 6
Answer:
£1290
Step-by-step explanation:
35%+40%= 75%
£600=25% £600÷20=30 25%of till = 30 notes 100%=120 notes
40% of 120 =48notes 48x10=£480
90notes-48notes=42notes
42x£5=£210
£600+£480+£210=£1290