75/5 = 15
1/5th of 75 is 15
After he gives 15 to his friend, John will have 60 apples left.
The answer is ASA.
Given that ∠A = ∠O, ∠W = ∠N, SW = TN, this shows that the two angles (∠A and ∠W) and the included side SW of the first triangle are equal to the two angles (∠O and ∠N) and the included side TN of the second triangle. This means that third angles ∠S and ∠T are also equal. Therefore, the two triangles ΔWAS and ΔNOT are congruent based from the ASA Postulate.
the answer is 6
Step-by-step explanation:
3z is 3 multiplying by 3 thats 9 and w=3 so 3z minus w= 6
Given Information:
Mean salary of employees = μ = $5000
Standard deviation = σ = $500
Sample size = n = 40
Required Information:
P(X < $4900) = ?
Answer:
P(X < $4900) = 0.102 = 10.2%
Step-by-step explanation:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
Let X is the random variable that represents the salary of employees at company.
The z-score corresponding to -1.27 from the z-table is 0.102
Therefore, there is 10.2% probability that the salary of a randomly selected employee will be less than $4900.
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score.(e.g -1.2, 2.2, etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.27 then go for 0.07 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.