-1/2m=-9 what does m=

A card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn. What is the probabilit

atroni [7]

Answer:

0.5,0.25,0.125

Step-by-step explanation:

Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.

Since here we have the draws with replacement we can say each trial is independent of the other.

i.e. the first card does not affect the second card at all.

the probability that:

a) The first card is red.

= $\frac{26}{52} =0.50$

(b) The second card is hearts given that the first is red.

=P(second is hearts)

= 0.25

(c) The first card is red and the second is hearts.

= $0.5*0.25\\=0.125$

(since independent)

4 0

3 years ago

A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same

creativ13 [48]

Answer:

The speed is inversely proportional to the time when the same distance is traveled.

Step-by-step explanation:

Given that:

The distance traveled by the biker in 8 hours is 120 mi.

The speed of the biker=120/8=15 mi/hr.

[as speed=Distance travelled/Time taken]

As all take the same route, so the distance traveled by all is the same which is 120 mi

The time taken by the bus to cover this distance is 2 hours.

So, the speed of the bus = 120/2=60 mi/hr.

The time taken by the truck is 2.5 hours.

So, the speed of the truck = 120/2.5=48 mi/hr.

And the time taken by the rider is 18.75 hours.

So, the speed of the rider = 120/18.75=6.40 mi/hr.

Now, observe that to cover the same distance, the bus takes the least time, so, the bus is traveling at the fastest speed among all, while the rider has the slowest speed as the distance is the same for all. The truck and the biker have speed in between the speed of the bus and the rider.

It can be concluded that when the time of the journey for the same distance is less than speed is more.

So, the speed is inversely proportional to the time when the same distance is traveled.

Or, $\text{Speed}\propto\frac{1}{Time}$

3 0

3 years ago

1.1. Which statement explains why the two systems of equations below have the

pochemuha

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10 .......equation (1)

2x - 5y = 12 .......equation (2)

B : 8x + 3y = 2 .......equation (1)

12x + 16y = - 20 .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

8 0

3 years ago

Simplify the following expression.

bazaltina [42]

-16 - 8/2 + 25 / 5 +1
-16 -4 + 5 +1
-20 +6
-14

4 0

3 years ago

The picture shows a driveway

Marina86 [1]

Answer:

10m is my answer

Step-by-step explanation:

8 0

3 years ago