Answer:
X = 13
Step-by-step explanation:
Since this is a linear pair, it equals to 180 degrees.
7x + 37 + 4x = 180
11x + 37 = 180
-37 -37
11x = 143
11x/11 = 143/11
x = 13
Good luck on your form!
Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.
Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
Answer: y=-7
Step-by-step explanation: on why axis and is pallet yo x axis
