Answer:
x=10 n=18.5 s=6
Step-by-step explanation:
4x-10=30
Add 10 to both sides
4x-10+10=30+10
4x=40
Divide by 4 on both sides
(4x)/4=40/4
x=10
2n-7=30
Add 7 to both sides
2n-7+7=30+7
2n=37
Divide by 2 on both sides
(2n)/2=37/2
n=18.5
(s/3)+2=4
Subtract 2 from both sides
(s/3)+2-2=4-2
(s/3)=2
Multiply by 3 on both sides
3s/3=2*3
s=6
Answer:
53.7
Step-by-step explanation:
The area of the rectangular base is 7(2.3)=16.1.
So, the total volume is (1/3)(16.1)(10), which is about 53.7
Answer:
The proportion of piano prices higher than the electric piano is 98.3%
Step-by-step explanation:
The first thing to do here is to calculate the standard score of the price of the electric piano given.
Mathematically, this is
z-score = (x-mean)/SD
where mean is 3000 and SD is 200, x is 2576
z-score = (2576-3000)/200 = -2.12
Now we proceed to calculate the probability of this z-score
The probability we are trying to calculate is
P( x > $2576) or simply P ( z > -2.12)
Using standard score probability calculator or table, we have
P(x>2576) = 1 - P(x<2576)
But, P(x<2576) = 0.017003
P(x>2576) = 1 - P(x<2576) = 0.983
This is same as 98.3%
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer and Step-by-step explanation:
You got everything correct so far except for #4.
4. Yes, it is 1. But it would be in months.
So you would put:
1 month = x
12 months = 1 year.
Since the population increases by 1.5 times a <em>month.</em>
For question number 3.
The equation should be:
<- Function
<- Function when x is 12 months (1 year)
(Put those both the same way I put it.)
It gives you the equation to work with, you just have to plug in the values.
1.5 is in the parenthesis because it needs to be the one that is raised by an exponent.
100 is the initial population, so it stays on the outside.
x is the exponent