Answer:
940
Step-by-step explanation:
The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).
Also the sales can be modeled by the help of a linear function as:
y = 0.94x + 12.5.
Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.
We know that for any linear function of the type:
y=mx+c
'm' represents the slope and 'c' represents the y-intercept of the line.
Hence, by looking at the equation we get:
m=0.94
but as the sales are multiplied by 1000.
Hence,
0.94×1000=$ 940.
Hence, the company's sales increase per month is:
$ 940
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
Answer:
B. 427
Step-by-step explanation:
The median is the middle number. When you cross out numbers on the list you end up with 420 and 434. We take the average:
(420 + 434)/2 = 427
Start with
Separate the variables:
Integrate both parts:
Which implies
Solving for y:
Since 
is itself a constant, let's rename it 
.
Fix the additive constant imposing the condition:
So, the solution is
by
![t\in[0,1]](https://tex.z-dn.net/?f=t%5Cin%5B0%2C1%5D)
. Then 
