Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
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➷ Writing it out like this will help:
7 : 3 : 2
? : 3.75 : ?
So, 3.75 is 3 parts as per this ratio
Divide this amount by 3 to get 1 part in the ratio
3.75 / 3 = 1.25
Now simply multiply all the other ratios by this value to find how much the others get:
1.25 x 7 = 8.75
1.25 x 2 = 2.5
Paula gets £8.75 and Henry gets £2.50
The amount altogether would be their individual amounts added together:
8.75 + 2.50 + 3.75 = 15
The total amount of money is £15.
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Answer:
0.3960
Step-by-step explanation:
X - no of questions answered correct is binomial since each question is independent of the other and there are two outcomes
p = Prob of any one question right = 0.2 (1/5)
n = 44
Normal approximation would be mean = np = 8.8 and Variance = npq = 7.04
Std dev = 
X is N(8.8,2.6534)
Or Z = 
Since we approximate discrete to continuous continuity correction is to be applied
means x≥9.5
P(X≥9.5) = 0.3960
