Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation:
Answer:
Rate of change of the diameter is equal to 0.053cm/min
Step-by-step explanation:
A snowball is of the shape of a sphere
Surface area of Sphere (S)= 
Rate of change of surface area
dS/dt = -4
the negative sign indicates the surface area is decreasing.
Radius = d/2 where d represents diameter
using this is the surface area equation
S = 
= 
dS/dt = 2*pi*d*d(d)/dt
4 = 2*pi*d*(d)/dt
d(d)/dt = 2/12*pi= 
cm/min
so the rate of change of the diameter is equal to 0.053cm/min
Answer:
table:
.1, .25, .35, .2, .1
p(x=4) = .1
p(x<2) = .35
p(3≤x≤4)= .55
1.95, 1.12
Step-by-step explanation:
this is kind of hard to read, but i think i've got it
mean:
0*.1+1*.25+2*.35+3*.2+4*.1= 1.95
The second moment:
0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05
the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean
5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12
Answer:
The area to the right of 2.120 is 0.0250 rounded to 4 decimal places
Step-by-step explanation:
We are required to find 
To find this area we have to use the t distribution. Also we can use technology like excel to find the area to the right of 2.120.
The excel function is:
=TDIST(2.120,16,1)=0.0250
Where:
2.120 is the value of the test statistic
16 is the degrees of freedom
1 denotes the one tailed.
Therefore, the area to the right of 2.120 is 0.0250
Answer:
You'd have to buy 3 shirts in order to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99
One particular brand of shirts is on sale for 20% off the original price.
$17.99*0.2= $3.60 (amount taken off for each shirt)
Now subtract $3.60 from $17.99.
$17.99 - $3.60 = $14.39 (per shirt)
40 / 14.39 = 2.779 (round to 3)
You'd have to buy 3 shirts in order to use your coupon.
$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40
