Answer:
79
Step-by-step explanation:
60<xy<100
y -2 =x
if it is prime
y cannot be even
so y could be 1,3,5,7,9
x would then be 9,1,3,5,7
but to be between 60 and 100
x must be 7 or 9
so the number must be 79 or 57
57 is not prime so
the number is 79
Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.
Step-by-step explanation:
We use binomial distribution when we have repeated process and the outcome is either a success or a failure.
The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).
The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.
Answer: The secretary's salary prior to the reduction was $42,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)
Mathematically speaking:
x (4.5/100)= 1890
Solving for x:
x (0.045)= 1890
x = 1890/ 0.045
x = 42,000
The secretary's salary prior to the reduction was $42,000.
Answer:
Step-by-step explanation:
To find measures of angles m and n
The triangle to the left has three sides of equal length.
This means that it will also have three angles of equal measure.
The internal angles of a triangle sum to 180°
So the internal angles of the left triangle are 180/3 = 60°
The top right angle is made up of one of the 60° angles and angle n
60 + n = 90
n = 30°
Again the internal angles of a triangle sum to 180°, so the right triangle
m + n + 90 = 180
m = 180 - 90 - 30
m = 60°
or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.
Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore
m = 60°
Answer:
its 41
Step-by-step explanation:
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