Answer:
7x - 12 = 3x - 2
Step-by-step explanation:
.
<u>Step-by-step explanation:</u>
Here we have , Based on a survey, that 46% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three on them are comfortable with delivery by drones. We need to find the values of n,x,p,and q .Let's find out:
According to question , 46% of consumers are comfortable having drones deliver their purchases , So , Probability of success :
⇒
And , probability of failure :
⇒
⇒ 
Now , n = Number of people randomly selected = 5
x = Number of people exactly comfortable = 3
Therefore ,
.
Answer:
Part 1 .
As per the given statement: In t hours the train has traveled s miles.
Distance of the train = s mile
Time = t hours
Formula for :
Speed of the train(v) = 
or
mph .....[1]
Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;

Therefore, the speed of the train(v) is, 60 mph
Part 2.
Similarly,
The formula for speed of the train (v) is given by;

Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;

Therefore, the speed of the train(v) is, 90 mph
Answer:10
Step-by-step explanation:
X/5+4 = 6
(Subtract 4 on both sides)
X/5 =2
(Multiply 5 on both sides to get x alone)
2(5) = 10
X = 10
Approximately 95% of bags contain between 65 and 85 potato chips.
<u>Step-by-step explanation</u>:
step 1 :
Given,
The mean, M = 75
Standard deviation, SD = 5
step 2 :
From Normal distribution,
The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD
The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD
step 3 :
Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65
Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85
step 4 :
Calculate the percentage between 65 and 85:
(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%
= 96 % (which is approximately 95 %)