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2 years ago

A bag contains 6 white marbles, 5 red

Mathematics

1 answer:

Artist 52 [7]2 years ago

4 0

Answer:

1/30

Step-by-step explanation:

6 white marbles

5 red marbles

+ 19 marbles of other colors

-----------------------------------------------

30 marbles in total

First drawing:

p(white) = (number of white marbles)/(total number of marbles)

p(white) = 6/30 = 1/5

Second drawing:

Since the first marble is replaced, there are still 30 marbles in the bag.

p(red) = (number of red marbles)/(total number of marbles)

p(red) = 5/30 = 1/6

The two drawings are independent events, so the overall probability of the two events is the product of the individual probabilities.

p(white then red) = p(white) × p(red)

p(white then red) = 1/5 × 1/6

p(white then red) = 1/30

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At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his

olchik [2.2K]

t=45min
d=4km

45min/60min = 0.75 hours

v=d/t
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2 years ago

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

2 years ago

A dozen box of bagels costs $4.98. Because of inflation the price increases by 4% a year.

Olenka [21]

A=p (1+r)^t
A future value
P present value 4.98
R rate 0.04
T time

After 3 years
A=4.98×(1+0.04)^(3)
A=5.60

7.50=4.98 (1.04)^t
Solve for t
T=log(7.50÷4.98)÷log(1.04)
T=10 years

Hope it helps:-)

3 0

2 years ago

Pls help me solve this one please..<br> (3/4)to the 2nd power +(1/2)to the second power

andriy [413]

9/16 + 1/4
9+4/16
13/16

Alternative form
0.8125

5 0

2 years ago

What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.

olasank [31]

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