Answer:
-(6ap³)
Step-by-step explanation:
We have to find the quotients of
We take the common 2a² p from the numerator
=
= -(6ap³)
Therefore, the quotient after division will be -(6ap³)
Give three real-world examples of rectangular prisms. Then give two real-world examples of triangular prisms. Explain how you kn
2 answers:
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we are given
we can see that
numerator is
and denominator is
We always put coefficient of numerator inside box
we can see that coefficient of numerators are 3 , -4 and 9
and in the left side , we put value of x after putting denominator =0
so, left side will be 2
so, option-D..................Answer
8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:
Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.
Therefore the fractional part is
.
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.
Then you can multiply both the numerator and denominator by 20:
From here, the numerator will state the percentage:
Hope this helps :)
Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.
Therefore the fractional part is
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.
Then you can multiply both the numerator and denominator by 20:
From here, the numerator will state the percentage:
Hope this helps :)
Answer:
a) 0.5768 = 57.68% probability that the shop sells at least 3 in a week.
b) 0.988 = 98.8% probability that the shop sells at most 7 in a week.
c) 0.0104 = 1.04% probability that the shop sells more than 20 in a month.
Step-by-step explanation:
For questions a and b, the Poisson distribution is used, while for question c, the normal approximation is used.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of successes
e = 2.71828 is the Euler number
is the mean in the given interval.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The Poisson distribution can be approximated to the normal with , if
.
Poisson variable with the mean 3
This means that .
(a) At least 3 in a week.
This is . So
In which:
Then
So
0.5768 = 57.68% probability that the shop sells at least 3 in a week.
(b) At most 7 in a week.
This is:
In which
Then
0.988 = 98.8% probability that the shop sells at most 7 in a week.
(c) More than 20 in a month (4 weeks).
4 weeks, so:
The probability, using continuity correction, is P(X > 20 + 0.5) = P(X > 20.5), which is 1 subtracted by the p-value of Z when X = 20.5.
has a p-value of 0.9896.
1 - 0.9896 = 0.0104
0.0104 = 1.04% probability that the shop sells more than 20 in a month.