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soldier1979 [14.2K]
3 years ago
6

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected

on the first draw?
Mathematics
2 answers:
Marina CMI [18]3 years ago
5 0

Answer:

1/3

Step-by-step explanation:

there's 6 total marbles and 2 are yellow so this can be expressed as 2/6 which can be simplified to 1/3.

hope it helps!

solong [7]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

The total number of marbles

3 red marbles, 2 yellow marbles, and 1 blue marble = 6 marbles

P( yellow) = yellow / total

                 = 2/6

                 = 1/3

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On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. His 70th birthday was this very day. All of h
DENIUS [597]

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

g+d=33

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

2g+4d=84

From the first equation (the one for the heads) we can derive

g=33-d

Substitute this into the second to get

2g+4d=84 \implies 2(33-d)+4d=84 \iff 2d=18 \iff d=9

So, there are 9 dogs and (from the first equation

g=33-9=24

8 0
3 years ago
Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?
Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0
3 years ago
15x8-x=4(2x+20) solve
Cloud [144]

Answer:


x≈ −1.21039852,1.25324234 assuming was the exponent to 15x


6 0
3 years ago
you drop a ball from a height of 98 feet. at the same time, your friend throws a ball upward. the polynomials represent the heig
Ostrovityanka [42]

a) h_0 -u_y t

b) See interpretation below

Step-by-step explanation:

a)

The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.

Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

g=32 ft/s^2

in the downward direction.

For the ball dropped from the initial height of h_0 = 98 ft, the height at time t is given by

h(t) = h_0 -\frac{1}{2}gt^2 (1)

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity u_y, and its starting height is zero, so its position at time t is given by

h'(t)=u_y t - \frac{1}{2}gt^2 (2)

Therefore, the polynomial that represents the distance between the two balls is:

h(t)-h'(t)=h_0 - \frac{1}{2}gt^2 - (u_y t - \frac{1}{2}gt^2) = h_0 -u_y t

b)

Now we interpret this polynomial, which is:

\Delta h(t) = h_0 -u_y t

which represents the distance between the two balls at time t.

The interpretation of the two terms is the following:

- The constant term, h_0, is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem, h_0 = 98 ft

- The coefficient of the linear term, u_y, is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by u_y feet.

5 0
3 years ago
Which numbers are factors of 42? Check all that apply.
Svetach [21]

Answer:

1 2 3 6 7 14 21 42Step-by-step explanation:

all of them are divisible by 42

3 0
3 years ago
Read 2 more answers
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