Answer:
Step-by-step explanation:
uhhh what kind of 6 grade math is this?
Answer:
larger number=29;smaller number=18
Step-by-step explanation:
let assume the two numbers are X and Y
where X is the larger number and Y is the smaller number.
From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;
X=2Y - 7→→→→→→ equation 1
Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;
X + Y = 47→→→→→→ equation 2
Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.
collecting like terms we have
2Y + Y = 47 + 7
solving arithmetically we have;
3Y = 54
divide both sides by 3 we have;
Y = 18.
Now if you recall from equation 1;
X = 2Y - 7;
since we now know Y as 18 we substitute Y as 18 in equation one then we have;
X = 2(18) - 7;
X =36 - 7
X = 29.
Answer:
![P(A) = 0.21](https://tex.z-dn.net/?f=%20P%28A%29%20%3D%200.21)
We want to find the probability that a randomly selected freshman from this college does not take an introductory statistics class, so then we can use the complement rule given by:
![P(A') = 1-P(A)](https://tex.z-dn.net/?f=%20P%28A%27%29%20%3D%201-P%28A%29)
Where A is the event of interest (a freshman at a certain college takes an introductory statistics class) and A' the complement (a freshman at a certain college NOT takes an introductory statistics class) and then replacing we got:
![P(A')=1-0.21= 0.79](https://tex.z-dn.net/?f=%20P%28A%27%29%3D1-0.21%3D%200.79)
Step-by-step explanation:
For this problem we know that the probability that a freshman at a certain college takes an introductory statistics class is 0.21, let's define of interest as A and we can set the probability like this:
![P(A) = 0.21](https://tex.z-dn.net/?f=%20P%28A%29%20%3D%200.21)
We want to find the probability that a randomly selected freshman from this college does not take an introductory statistics class, so then we can use the complement rule given by:
![P(A') = 1-P(A)](https://tex.z-dn.net/?f=%20P%28A%27%29%20%3D%201-P%28A%29)
Where A is the event of interest (a freshman at a certain college takes an introductory statistics class) and A' the complement (a freshman at a certain college NOT takes an introductory statistics class) and then replacing we got:
![P(A')=1-0.21= 0.79](https://tex.z-dn.net/?f=%20P%28A%27%29%3D1-0.21%3D%200.79)
Answer:
1/660th of a mile per second
Step-by-step explanation:
There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.