Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:
Item b:
The probability is P(X = 3) when n = 3, hence:
Item c:
The probability is P(X = 2) when n = 4, hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
-4 / 9
Step-by-step explanation:
n - 2 = 10n + 4/2
n - 10n = 4/2 + 2
-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)
-9n = 8/2
-9n = 4
n = 4 / -9
therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .
Answer:
40 flapjacks
Step-by-step explanation:
Given the recipe :
Recipe: Makes 10 flapjacks
120 g margarine
100 g sugar
150 mL syrup
225 g oats
40 g sultanas
Given that all other ingredients are kept Constant.
225g of oats produces 10 flapjacks
0.9 kg of oat = 0.9 * 1000 = 900g oat
If :
225 g = 10 flapjacks
900 g = x
Cross multiply :
225x = 900 * 10
225x = 9000
x = 9000 / 225
x = 40
40 flapjacks
So you want to make one of the equations equal to one of the placeholders exg y=x+3
so we have
x+y=2 and
-2x+y=2
I chose to make -2x+y=2 equal to y so
-2x+y=2
add 2x to both sides
y=2+2x
subsitute 2+2x for y in x+y=2
x+2+2x=2
add like terms
3x+2=2
subtract 2 from both sides
3x=0
x=0
subsitute x=0 in x+y=2
0+y=2
y=2
x=0
y=2
