Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
4% rate of defects
This means that 
26 tablets
This means that 
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
Thus
Then
0.7208 = 72.08% probability that this whole shipment will be accepted.
Answer:
B) 9
Step-by-step explanation:
Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:
Dividend ÷ Divisor = Quotient
18 ÷ 2 = 9
Answer:
8.9 lb
Step-by-step explanation:
I divided 47.17 by 5.3
47.17÷5.3= 8.9
then to check my answer I multiplied 8.9 by 5.3 and got 47.17
hope this helps <3
We can represent the pizza as 1. And every time we take a slice, we take percentage away. This pizza is cut up equally into 10 slices. So, if we take away a slice, we take away 1/10 of the pizza. What if Sally ate 6 slices? Same difference. She took away 6/10 of the pizza.
And to answer the question, "What <span>percentage of the pizza did Sally eat if she had six slices?"
We will convert the 6/10 into a percentage. First convert the fraction into a decimal then into a percent.
To convert a fraction into a decimal, simply divide it's numerator by it's denominator.
6/10 = 0.60
And to convert a decimal into a percentage, move the decimal point two places to the right and change it into a % sign.
0.60 = 60%
So, the answer to this question C) 60%
If you are still confused, DM me and I'll do my best to help!
</span>
The system won't have a unique solution when what appears to be two lines is really only one line. The coefficients in an equation for a line only matter in ratio; if we multiply them all by the same non-zero scalar we'll still have the same line, of course with an infinite number of points on it, our infinite number of solutions.
2x - y = 8
6x - 3y = 4a
We need these to be the same equation, meaning they have to have all the same solutions. So we have to figure out the factor to multiply the first equation by to get the second.
That factor is obviously 3 because 3(2x)=6x and 3(-y)=-3y. So we need the constants in the same ratio,
3(8) = 4a
24 = 4a
a = 6
Answer: B. 6
