Answer:
Cost of 1 = 30
So cost of 8kg apples=8*30
=240
Step-by-step explanation:
Answer: The division property of equality
Step-by-step explanation:
The division property of equality says that if we divide both sides of an equation by the same number then both the sides are still remains equal.
The given statement : - If 5x = 20, then x = 4.
By using the division property of equality the division operation is applied on both the sides of the equation such that both sides are divide by 5 to arrive the given conclusion .
Hence, the property of equality used to arrive at the conclusion = The division property of equality
Answer:
Step-by-step explanation:
Given that the total number of sample pills is 200
ie., n=200
Let us assume it success if a pill is ineffective.
The probability of success in each trial is
∴ p=0.05
We know that the total probability is p+q=1
The probability of failure is q
q=1-p
q=1-0.05
∴ q=0.95
Let X be the random variable of the number of ineffective pills in a sample of 200 pills.
Hence X has Binomial distribution with parameter n=200 and p=0.05
The formula for Mean in Binomial distribution is
Substitute the values in the above formula we get
∴
The formula for Standard deviation in Binomial distribution is
Substitute the values in the above formula we get
∴
Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.
That is to find the area to the left of x=9.5
The formula is
Substitute the values in the formula we get
∴
Now P(X<10)=P(Z<-0.16)
=0.4364
The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.
Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:
P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:
n = sample size = 200,
k = number of ineffective pills,
p = probability of a pill being ineffective = 0.05.
Calculating this probability using the formula, we get:
P(X < 10) ≈ 0.817, or 81.7%.
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Answer:
There is really no solution because the question doesn't look full and cannot be answered without more details.