Answer:
7 weeks
Step-by-step explanation:
John saves f(x) = 60+5x
Sarah saves g(x) =x^2 +46
They save the same amount of money
Set the equations equal
60+5x =x^2 +46
Subtract 60 from each side
60+5x -60 =x^2 +46-60
5x= x^2 - 14
Subtract 5x from each side
5x -5x= x^2-5x - 14
0 = x^2-5x - 14
Factor
0 = (x-7) (x+2)
Using the zero product property
x-7=0 x+2 =0
x=7 x=-2
Since we cannot have negative weeks
x=7
Answer: y=3
Step-by-step explanation:
first, you need to find the slope using the slope formula (y2-y1/x2-x1)
-4--4/6--7 = 0/13 which equals 0
now you fill it into the point-slope form (y=m(x-x1)+y1)
y=0(x--7)-4
you distribute and get
y=3
Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 2.054.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that 
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So
Rounding up:
A sample size of 3 is required.
Answer:7350
The total arrangements of the letters in Mississippi having no consecutive s's=70X105=7350. So, the answer is 7350.Hence, the distinct permutations of the letters of the word MISSISSIPPI when four I's do not come together = 34650 – 840 = 33810.
Step-by-step explanation:
I have the answer on paper but i'm using my computer rn But yh
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