Answer:
102.3
Step-by-step explanation:
a_38 = -5
difference d= -2.9
We use general formula
WE make the formula for a_38 th term
Plug in 38 for n
Now plug in -2.9 for d and -5 for a_38
Now add 107.3 on both sides
102.3 = a_1
option A is correct
The perimeter of the rectangle is 2(2x+5), and the perimeter of the triangle is x+7+x+4+x+11, which simplifies to 3x+22.
Therefore...
3x+22=4x+10
x=12
The perimeter of the rectangle is 2(2(12)+5)=2(24+5)=2(29)=48.
a. x=12
b. The perimeter of each figure is 48.
Answer:
1.
P(E1)=P(E2)=P(E3)=P(E4)=P(E5= )1/5
2.
P(E1)=0.4
P(E2)= 0.26
P(E3)=0.34
3.
No the probability assignments are invalid
Step-by-step explanation:
1
Total number of possible outcomes = 5
<u>Equation (4.3)</u>
0< P(Ei)<1
<u>Equation (4.4)</u>
P(E1) + P(E2) +........+P(En)=1
As the outcomes are equally likely therefore,
Probability for each outcome= P(Ei) = 1/5
2
Total number of outcomes = 50
Outcomes for event E(1)= 20
Outcomes or event E(2)= 13
Outcomes or event E(3) = 17
P(Ei)= (number of outcomes for event Ei/ Total number of outcomes)
P(E1)=20/50=0.4
P(E2)= 13/50=0.26
P(E3)=17/50=0.34
3
P(E1) .10,
P(E2) .15,
P(E3) .40,
P(E4) .20
0.1 +0.15+0.40+0.20=0.85<1
According to equation (4.4) the probability assignments are invalid as the sum of probabilities for all outcomes must be equal to 1.
2.25p + 119.75 = 500
2.25p = 380.25
p = 169
169 pastries per day equal $380.75 + $119.75 of fixed costs equal to exactly $500
Answer:
The correct answer is 123
Step-by-step explanation:
