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agasfer [191]
2 years ago
14

There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the

first marble chosen. What is the probability of Jamie's picking 2 white marbles?
A) 1/15

B) 1/18

C) 1/20

D) 1/7
Mathematics
2 answers:
Softa [21]2 years ago
7 0

Answer:

A) 1/15

Step-by-step explanation:

The probability of picking a white marble is 3/10. Then 2 of the remaining 9 marbles are white, so the probability of picking one is 2/9.

The joint probability is (3/10)·(2/9) = 6/90 = 1/15

ELEN [110]2 years ago
5 0

Answer:

1/7 is the probability hope this helps


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Determine whether the given equation has one solution, no solution, or infinitely many solutions.
ella [17]

Answer:

No solution

Step-by-step explanation:

Simplify the left side.

− 3 x − 10 =3 ( 3 − x )

Simplify  

3 ( 3 − x ).

− 3 x − 10 = 9 − 3 x

Move all terms containing  x  to the left side of the equation.

− 10 = 9

Since  

− 10 ≠ 9  , there are no solutions.

No solution

8 0
3 years ago
Read 2 more answers
2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.
Andrei [34K]

Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

then

x^2+1=2b^2+2b+1

Now,

x^2+2x+1=2b^2+5b+1

2x+2b^2+2b+1=2b^2+5b+1

\implies2x=3b

Squaring both sides gives

4x^2=9b^2

and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

\implies b^2-8b=0\implies\boxed{b=8}

(because the base has to be non-zero)

3 0
3 years ago
Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
hichkok12 [17]

Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

6 0
2 years ago
How many 3/4 cup servings of trail mix are in a 8 cup bag?
choli [55]
There are 6 3/4 cup servings in an 8 cup bag.
6 0
3 years ago
Y+2 = -3(x – 4)<br> Complete the missing value in the solution to the equation. <br><br> (?, -2)
ss7ja [257]

Answer:

The missing value in the solution to

the equation will be:

  • x=4

Step-by-step explanation:

Given the equation

y+2\:=-3\left(x\:-\:4\right)

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

\left(-2\right)+2\:=-3\left(x\:-\:4\right)

switch the sides

-3\left(x-4\right)=\left(-2\right)+2

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

-3\left(x-4\right)=-2+2

-3\left(x-4\right)=0

\mathrm{Divide\:both\:sides\:by\:}-3

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x-4=0

x=4

Therefore, the missing value in the solution to

the equation will be:

  • x=4
4 0
2 years ago
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