2. A vendor has 15 helium balloons for sale: 7 are yellow, 5 are red, and 3 are

Mathematics

1 answer:

Artyom0805 [142]3 years ago

6 0

Answer:

0.4286

Step-by-step explanation:

-Initially, there are 15 balls and 1 yellow ball is sold

-Total number of balls remaining is:

=14balls -1 ball=14 balls

-Total number of yellow balls remaining is:

=7yellow -1 yellow=6yellow

#the probability that the next balloon selected at random, is also yellow is:

$P(y)=\frac{no \ of \ yellow}{total \ remaining}\\\\=\frac{6}{14}\\\\=0.4286$

Hence, the probability that the next ball is yellow is 0.4286

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2x+4y+2z= -8 5y-2z= 0 4z= -20

kondaur [170]

Answer:

The given solution for the system is x = 5, y = -2 and z = -5

Step-by-step explanation:

Here, the given set of equations are:

2 x + 4 y +2 z = -8

5 y- 2 z = 0

4 z = -20

Now, simplifying each question one by one ,we get:

Simplifying third equation for the value of z:

4 z = -20 ⇒ z = -20 / 4 = - 5

or, z = -5

Simplifying second equation for the value of y:

Substitute the value of z = -5 in (2) , we get

5 y- 2 z = 0 ⇒ 5 y - 2(-5) = 0

or, 5 y + 10 = 0

or, 5 y = -10

or, y = -10/5 = -2

⇒ y = -2

Simplifying first equation for the value of x:

Substitute the value of z = -5 and y = -2 in (1) , we get

2 x + 4 y + 2 z = -8 ⇒ 2 x + 4 (-2) + 2 (-5) = -8

or, 2 x - 8 - 10 = -8

or, 2 x = 10

x = 10 / 2 = 5, or x = 5

Hence, the given solution for the system is x = 5, y = -2 and z = -5

7 0

4 years ago

Nerissa paid a total of $8 for 4 packs of pencils she purchased from the convenience store. Let p represent the cost of one pack

BARSIC [14]

Answer: 4*p=8

Step-by-step explanation:

You can use inverse operation to answer this equation.

write out you problem: 4 x p =8
The inverse of multiplication is division
you do 4/4 which gives you one but the 4 will cancel itself out
Do 8/4 which gives you 2
under the equation write p = 2
And be sure to line the p up with the p, the equal sign with the equal sign, and the 2 stays where it is ( which should be already lined up with the 8)