4. 14
5. 6
6. 1/12
These are the answers to the questions
Answer:
126 degrees
Step-by-step explanation:
Triangle: y = 180 - (5x + 4x)
Straight angle: y = 180 - (4x + 30)
180 - (5x + 4x) = 180 - (4x + 30)
5x + 4x = 4x + 30
5x = 30
x = 6
Angle:
y = 180 - (5x + 4x)
y = 180 - 9x
y = 180 - 9(6)
y = 126
1st number = n
2nd number = n+1
3rd number = n+2
sum of the squares of 3 consecutive numbers is 116
n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116 Last option.
Answer:
0.2416
Step-by-step explanation:
P(forgot to water | dead) = P(forgot and dead) / P(dead)
->With water it will die with probability 0.45
P(watered and dead) =0.83 x 0.45 = 0.3735
->Without water the plant will die with probability 0.7
P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119
P(dead) = P(watered and dead) +P(forgot and dead)
P(dead) = 0.3735 + 0.119= 0.4925
P(forgot to water | dead) =0.119 / 0.4925= 0.2416
Therefore, the probability the neighbor forgot to water the plant is 0.2416
Money earned by restaurant on Friday=$1073
Money earned by restaurant on Saturday=$1108
Let Money earned by restaurant on Sunday=$x
Average=$1000
Number of observation=3
⇒ 3× 1000=1073+1108+x
⇒3000= 2 181+x
⇒3000-2181=x
⇒x=819
The restaurant needs to earn on Sunday to average $1000 per day over the three-day period=$819
