Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes <u>decrease</u> the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more <u>recklessly</u> which could potentially <u>i</u><u>ncrease</u> the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
Holly has 20 balls, and there are 100 balls in total.
So there are 100-20 = 80 balls left.
Alex had 2 * the amount Holly had, which is 20.
So Alex has 20 * 2 = 40 balls.
Together, they have 60 balls.
Which means 100-60 = 40. So Ben has 40 balls.
Check:
Holly: 20
Alex: 40
Ben: 40
Add them: 20 + 40 + 40 = 100
Answer:
1/12
Step-by-step explanation:
P(5) = number of 5's on the die / total sides
P (5) = 1/6
P ( tails) = number of tails/ total
= 1/2
P (5, then tails)= P (5) *P ( tails)
= 1/6 * 1/2
= 1/12
Answer:
B) -2x+2y=-2
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (6,5)
see the attached figure
Remember that
If a equation is added to the system so that the solution does not change, then the solution of the system must be a solution of the equation added
<u><em>Verify each case</em></u>
The solution of the system is (6,5)
substitute the value of x and the value of y in each equation
case A) x-y=2
6-5=2
1=2 ----> is not true
therefore
This equation can't be added to the system
case B) -2x+2y=-2
-2(6)+2(5)=-2
-12+10=-2
-2=-2 ----> is true
therefore
This equation can be added to the system
case C) 3x+y=20
3(6)+5=20
18+5=20
23=20 ----> is not true
therefore
This equation can't be added to the system
case D) x+2y=18
5+2(6)=18
5+12=18
17=18 ----> is not true
therefore
This equation can't be added to the system
Answer:
Hello Sir/ Mam
YOUR REQUIRED ANSWER IS 18.6%
Variables defined in the question:
H - Home - Games
W - Winning Games
Now, given:
P(H0.62 PW)0.22
P(W\mid H)=0.30
Required : Of all the games, percentage of games that were at home wins.
Hence, required :
P(W\cap H)
Now, we know that:
P(W\mid H)=\frac{P(W\cap H)}{P(H)}
0.3=\frac{P(W\cap H)}{0.62}
Hence,
P(W\cap H)=0.3*0.62=0.186=18.6\%
I hope this solves your doubt.
Feel free to comment if you still have any query.
Do give a thumbs up if you find this helpful.
Step-by-step explanation:
