Answer:
Ratio = 1 : 4
Step-by-step explanation:
Total marbles = 10
Given 1/5 is red, that is 1/5 of the total marbles are red
Therefore , 10 - 2 = 8 marbles are blue.
Ratio of red marbles to blue marbles
Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
The answer is D. You are just adding 8 to the number of hours you work because you earn 8 dollars an hour, or you can just multiply the number of hours by the wage you get paid and you would get the your gross pay. It would also be in quadrant 1 because all the numbers are positive and quadrant 1 is all positive numbers not like the other quadrants where there is either all negative numbers or some positive numbers and some negative numbers. But to make things shorter the answer is D.
Answer:
as shown in the attached file
Step-by-step explanation:
The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.
To find the area, move each semicircle to fill up the square, you'll see there are three squares, each with an area of 4*4=16, so the total area is 3*16=48
Now the perimeter:
the perimeter of a circle is π times the diameter.
perimeter of each semicircle: (1/2)π*4=2π
there are altogether 6 arches and two straight sides, so the total is
2π*6+4*2=12π+8
the area is 48 square units, the perimeter is 12π+8 units.