Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is

Where 
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
Express into algebraic form
Step-by-step explanation:
10 + 6x = 4x - 4
Answer:
The 2 numbers are 512.8 and 487.2.
Step-by-step explanation:
Let the numbers be x and y, then:
x + y = 1000............(1)
x^2 - y^2 = 25600
(x + y)(x - y) = 25600
1000(x - y) = 25600
x - y = 25.6............(2)
Adding (1) + (2):
2x = 1025.6
x = 512.8
so y = 1000 - 512.8
y = 487.2.
For this case we must express the following expression algebraically:
<em>"The quotient of b and 2 minus 4 is at least 26"</em>
So we have to:
The quotient of b and 2 minus 4, is represented as:
We have different signs subtracted and the sign of the major is placed:

Thus, the expression is written as:

ANswer:

Answer:
Step-by-step explanation:
The size does not change because the shape is only moving to new coordinates not growing or shrinking.
This means the shape also does not change.
When you translate a shape in geometry it means you are changing the position. But the shape will remain the same, meaning the angles remain congruent.