Distribute 2/3 to the parentheses on the left side, combine like terms. 1 1/3 x= -2 2/3. Final answer is -2
Answer:
The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
Exponential growth involves a constant multiplicative rate of change.
Step-by-step explanation:
All that apply in the statements are as follows:
(a) The bottle was ½ full at 11:35 a.m. and doubled again after five minutes, which indicates that the bottle doubled at 11:40 am
(b) The bottle was ¼ full at 11:30 a.m. and doubled twice after 10 minutes. These means that the bottle was ½ full at 11:35 a.m. (i.e. five minutes ago the bottle was at ¼ full at 11:30 am, after five minutes, the which is was ½ full at 11:35 am but later became full at 11:40 am)
(c) Exponential growth involves a constant multiplicative rate of change (1.e. the rates of growth is twice every five minutes)
The lottery's anticipated worth is $80.
Given that,
The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.
A) EV=125*.2+100*.3+50*.5=$80
The lottery's anticipated worth is $80.
The expected value is obtained by multiplying each result by its likelihood.
The expected value of the lottery is then calculated by adding up all of these.
This is what we have: ;;
125(0.2) + 100(0.3) + 50(0.5) (0.5)
= 25 + 30 + 25 = $80
B) This is the formula for variance is shown in figure :
So, we can calculate the variance as follows:
.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975
C) A risk-neutral person would pay $80 or less to play the lottery.
To learn more about probability click here:
brainly.com/question/14210034
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6% increase
To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
If your answer is a negative number, then this is a percentage decrease.
Step-by-step explanation:
180 - 34 = 146
one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124
divide that by two to get the measures of the remaining two angles (62 degrees)
180 - 62 = x
118 = x
