Solve the given quadratic equation 2x2 + x + 1 = 0.

Solve the system of equations: X+y+z=5 -3x-4y+4z=15 2x-y-4z=-8

kolezko [41]

Answer:

Solution By Gauss jordan elimination method

x = 3, y = 2 and z = 4

6 0

3 years ago

A spinner numbered 1 through 12 is spun. Find the probability that

anastassius [24]

Answer:

$\dfrac{1}{6}$

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. $\{1,3,5,7,9,11\}$

Here, total numbers in the game are 12 i.e $\{1,2,3,....,12\}$ .

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}$

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

$P(B) = \dfrac{1}{12}$

$P(A \cap B)$ is the probability that we get 11 and an odd number.

Possible number of cases = 1

$P(A\cap B) = \dfrac{1}{12}$

P(B/A) is the probability that we get an 11 given that it is an odd number.

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}$

Hence, P(B/A) = $\dfrac{1}{6}$

4 0

3 years ago

Read 2 more answers

On Earth, objects weigh 6 times what

Colt1911 [192]

Answer:

16 pounds.

Step-by-step explanation:

As you said, objects weigh 6 times more than what they weigh on the moon. Therefore, the robot originally weighing 96 pounds will be reduced to 16 pounds.

16*6=96. (Original Weight)

96/6=16. (Weight after being on the moon.)

4 0

3 years ago

a sculpture an art museum is in the shape of a triangular pyramid the area of the base of the sculpture is 15 square meters and

strojnjashka [21]

Volume = 2×7×3.5 = 49 feet3

4 0

3 years ago

Dos hermanos juntaron su dinero para comprar un regalo a su papa entre los dos reunieron 864 que cantidad aporto cada uno si pac

leva [86]

Answer:

Paco contributed = 360pesos

Juan contributed = 504pesos

Question:

Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.

Step-by-step explanation:

Let the common factor between each brother = p

Paco gave = 5×common factor = 5p

Juan gave = 7×common factor = 7p

Total money contributed by both brothers = 864

Total money contributed by both brothers = 5p + 7p

5p + 7p = 864

12p = 864

p = 864/12

p = 72

Paco contributed = 5p = 5×72 = 360pesos

Juan contributed = 7p = 7×72 = 504pesos

3 0

3 years ago