Answer:
Step-by-step explanation:
The volume of the prism is 252 cubic centimeters.
The volume of a rectangular prism is gotten by the formula:
V = l * w * h
where l = length
w = width
h = height
The height of the prism is 3 cm.
Let x be the width of the prism.
The length of the prism is 5 cm longer than the width.That is:
l = 5 + x
The volume of the prism is therefore:
V = (5 + x) * x * 3
This is the equation that models the volume of the tray in terms of x.
Answer: 0.353
Step-by-step explanation:
We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)
This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.
Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:
Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.
The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)
P = (0.42^5)*1 = 0.013
Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:
P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09
The probability for only 3 is: (N = 5 and K = 3)
P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25
Then the total probability is:
P = 0.013 + 0.09 + 0.25 = 0.353
Given:
The equation is:
A model with 3 rows of 8 and 3 rows of 4.
To find:
The missing value in Ming's equation.
Solution:
We have,
...(i)
A model with 3 rows of 8 and 3 rows of 4. Using this information, we get
Taking out the common factor 3, we get
...(ii)
On comparing (i) and (ii), we get the missing value is 3.
Therefore, the missing value in Ming's equation is 3.