Find the prime factorization
45=3*3*5
60=2*2*3*5
GCF=3*5=15
45=3*15
60=4*15
remember
ab+ac=a(b+c) so
45+60=15(3)+15(4)=15(3+4)=15(7)=105
z = -2.83
<u>Explanation:</u>
Given:
Mean, μ = 68
Standard deviation, σ = 6
Data point, x = 51
Z score, z = ?
We know:

Substituting the value we get:

A negative z score says that the data point is below average.
Answer:
x=$7
Step-by-step explanation:
The total cost of bill is $32, $11 is from a plate of corn tacos. And there are 3 purchased burrito bowls at a cost of $x each.
$32 (total bill)
-$11 (tacos)
=$21
$21 / 3 (burrito bowls)
=$7
x<em> </em>or the cost of each burrito bowl is $7
Answer:
PQ = 4
Step-by-step explanation:
As ; PQ=QR
PR = 8
PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4
SO ; PQ = 4 , QR = 4
I hope I helped you^_^
Answer:
They will be 5 miles apart in 1 hour
Step-by-step explanation:
Here, we want to calculate the time it will take for the two ferries to be 5 miles apart
Mathematically; distance = speed * time
Let the number of hours be x
In x hours, the cat will have traveled 34 * x = 34x miles
In x hours, the Bird will have traveled 29 * x = 29x miles
So;
34x - 29x = 5
5x = 5
x = 5/5
x = 1 hour