Answer:
9 hours
Step-by-step explanation:
12x+32=140
so
140-32=108
108/12= 9
x=9
8k - 6 = 10k + 6
K= -6
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*k-6-(10*k+6)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2k - 12 = -2 • (k + 6)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : k+6 = 0
Subtract 6 from both sides of the equation :
Which gives k = -6
Steps
find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
Then add (or subtract) the fractions, as we wish!
your denominators stay the same so its 20
Answer:
There are 1,037,158,320 ways to choose a committee of 18 among 33 students.
There are 4,939,200 ways to choose 5 freshmen from 7, 6 sophomores from 8, 4 juniors from 8, and 3 seniors from 10.
Step-by-step explanation:
33!/18!15! = 1,037,158,320
7!/5!2! * 8!/6!2! * 8!/4!4! * 10!/7!3!
= 7*3 * 7*4 * 7*5*2 * 10*4*3 = 4,939,200
Answer:
a)20$
b)46,1$
c)0,3336
d)No concerns
Step-by-step explanation:
A) To find expected difference of cost of medical care for dogs and cats we can simply subtract average costs of cats and dogs.
Expected difference will be 20$.
B) To find the standard deviation of that difference, we need to square deviations and add them and square root it again.
Expected difference will be 46,1$.
C)We need to find the Z value to find the probability of more expensive dogs than cats in a Vet vise.
Z value of the function is -0,434
From the Z table that you can find at the attachment. The probability is %33,36 or 0,3336
D) This is a subjective part. I don't have any concerns
