9 inches across the floor Brendan rolls his ball if Sydney rolls a ball 63 inches across the floor.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Sydney rolls a ball 63 inches across the floor. This is 7 times the distance that Brendan rolls his ball across the floor.
Sydney rolls = 7n
Here n represent the number of inches Brendan rolls his ball.
63 = 7n
n = 63/7 = 9 inches
Thus, 9 inches across the floor Brendan rolls his ball if Sydney rolls a ball 63 inches across the floor.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft
Answer:
the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Step-by-step explanation:
since each student is independent on others the random variable X= x students of 45 applicants will join the program has a binomial probability distribution
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^x
where
n= total number of students= 45
p= probability that a student join the program= 0.7
x= number of students that join the program
then in order to have enough funding x should not surpass 30 students , then
P(X≤30)= ∑P(X) for x from 1 to 30 = F(30)
where F(30) is the cumulative probability distribution
then from binomial probability tables
P(X≤30)= F(30)= 0.3653 (36.53%)
therefore the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Answer: 3x² - 2x - 5
Step-by-step explanation:
The area of a rectangle is simply length * width. Thus, simply multiply them, and FOIL.
(3x - 5) (x + 1)
3x ^2 + 3x - 5x - 5
Combine like terms
3x² - 2x - 5
Hope it helps :) and let me know if you want me to elaborate.
