Answer:
angle ABC = angle MNP
(See the single curved shape at angle B? Match it to the same one on the other triangle. The same with the double and triple angles. The marks in the middle of the lines work the same way. Lines BC, BA, NM, and NP are all the same length.)
Step-by-step explanation:
Answer:
A. The E(Y) is 0.80
B. The expected amount of the surcharges is $165
Step-by-step explanation:
A. In order to calculate the E(Y), we would have to calculate the following formula:
E(Y)=∑yp(y)
E(Y)=(0*0.5)+(1*0.25)+(2*0.20)+(3*0.05)
E(Y)=0+0.25+0.40+0.15
E(Y)=0.80
B. In order to calculate the expected amount of the surcharges we would have to calculate the following formula:
E($110Y∧2)=110E(Y∧2)
=110∑y∧2p(y)
=110((0∧2*0.5)+(1∧2*0.25)+(2∧2*0.20)+(3∧2*0.05))
110(0+0.25+0.80+0.45)
=$165
Answer:
The number that is represented by point E is -0.25
Step-by-step explanation:
Point E is between -1 and 0, -0.25 is also between -1 and 0, so the number that is most likely to be represented by point E is -0.25.
To evaluate the probability that a randomly selected day will be between 28 and 34 minutes we proceed as follows:
P(28<x<34)
First we evaluate the z-score for the above values:
z=(x-σ)/μ
μ=26.7
σ=5.1
when:
x=28
z=(28-26.7)/5.1
z=0.26
P(z<0.26)=0.6026
when x=34
z=(34-26.7)/5.1
z=1.43
P(z<1.43)=0.9236
hence:
P(28<x<34)=0.9236-0.6026=0.321~32.1%
3x^2+2x+5
Explanation:
3x^4+6x^3+2x^2+9x+10/x+2
(x+1)(x+2)(3x^2-3x+5)/x+2
3x^2+2x+5
