Answer:
Hey there!
Let's solve our equation below.
-2(x+3)= -2(x+1)-4
Let's distribute the parentheses.
-2x-6=-2x-2-4
We combine like terms.
-2x-6=-2x-6
We add 6 to both sides.
-2x=-2x
We divide both sides by -2
x=x
If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.
We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.
Therefore, there are infinitely many solutions.
I hope this helps!
Answer:
m+1
Step-by-step explanation:
1/3(9 - 6m) + 1/4 (12m-8)
Distribute
1/3 *9 - 1/3 *6m + 1/4 * 12m - 1/4 *8
3 -2m + 3m -2
Combine like terms
-2m+3m +3-2
m+1
17. Its answer C i wil tell you the other one in a sec
42 ÷ 63
63 -> 420
63x6=378
420-378=42
63->420
So, how many times does 63 go into 42? Well, it doesn't. So put down a zero on your paper, and then a decimal. So if we add a zero onto 42, it becomes 420. Well, 420 is divisible by 63. In fact, 63 goes into 420 6 times, making a total of 378. 420-378 = 42. Then the process begins again. So you've got a 0.6, and that six just keeps on repeating. On paper, you're gonna wanna put a dash over the six to show that it's repeating.
Anyways, the answer is .66 repeating.
Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
