Answer:
Mean of the binomial distribution μ = 2.38
Standard deviation of the binomial distribution σ = 1.2533
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given Population proportion
p = 34 % = 0.34
q = 1- p
= 1 -0.34
= 0.66
q = 0.66
Mean of the binomial distribution
μ = n p = 2.38
Standard deviation of the binomial distribution
σ = √n p q = 1.2533
1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
For given question,
Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,
Thus,
Quantity of glycerin in 12 liters + Quantity of glycerin in x
= Quantity of glycerin in resultant mixture.
⇒ 8% of 12 + 100% of x = 16% of (12 + x )
⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )
⇒ 0.96 + x = 0.16 × 12 + 0.16x
⇒ 0.96 + x = 1.92 + 0.16x
⇒ x - 0.16x = 1.92 - 0.96
⇒ 0.84x = 0.96
⇒ x = 1.143 liters
Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
Learn more about the resulting solution here:
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Answer:
9Kg, 18Kg and 63 Kg
Step-by-step explanation:
Sum the parts of the ratio, 1 + 2 + 7 = 10 parts
Divide the weight of sand by 10 to find the value of one part of the ratio
90 Kg ÷ 10 = 9 Kg ← value of 1 part of the ratio, thus
2 parts = 2 × 9 Kg = 18 Kg
7 parts = 7 × 9 Kg = 63 Kg
Thus the weights of each bag are 9 Kg, 18 Kg and 63 Kg
Answer:
30 minutes
Step-by-step explanation:
2 hours = 120 minutes
120 divided by 4=30
The probability that a normally distributed data with a mean of μ and a standard deviation of σ is less than a value x is given by:
Given that μ = 16.5 and σ = 0.804984 and that the probability that the <span>mean oil-change time being at or below the
sample mean for which there is an area of 0.10 to the left under the
normal curve, then:
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