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HACTEHA [7]
3 years ago
9

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

It's the second option, 0.13.

Step-by-step explanation:

Step 1 : Find how many marbles there are in the bag all together.

4 + 4 + 12 = 20 marbles all together

Step 2 : Find what the probability of choosing a red marble is first.

4 red marbles out of 20 marbles =

P_{1} = \frac{4}{20}

Step 3 : Find the probability of choosing a yellow marble now.

Since one red marble was already taken, there are less marbles in total.

Instead of 20 marbles now there are only 19 marbles.

There are 12 yellow marbles out of 19 marbles =

P_{2} = \frac{12}{19}

Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.

\frac{4}{20} · \frac{12}{19} = \frac{12}{95}

Step 5 : Express your answer as a decimal.

12 ÷ 95 = 0.12631578947

Rounded to the nearest hundreth that's 0.13.

It's the second option, 0.13.

Hope this helps, please mark brainliest if possible. Have a nice day. :)

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3 0
3 years ago
Christy’s Clothing Castle is having a sale. Shirts are 25% off the original price. If a shirt originally costs $40, how much wil
Misha Larkins [42]

Answer:

You will save $10.

Step-by-step explanation:

Sale price: 25%

Original price: $40

25% off of $40

= $30

$40 - $30

= $10

8 0
2 years ago
The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m
LuckyWell [14K]

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

n=46, n=-47

n cannot be negative

n=46

Answer 46


7 0
3 years ago
Which ordered pairs are solutions to the inequality 2x+y>−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


7 0
3 years ago
Read 2 more answers
The cost of shipping a package is $2.75 per pound. Jeremy wants to ship a package that has a mass of 15 kg. How much will it cos
Karolina [17]

Answer:

$90.75

Step-by-step explanation:

First we convert kilograms to pounds.

1 kg = 2.2 lb

15 kg = 15 * 2.2 lb = 33 lb

Cost of shipping: $2.75/lb

Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75

Answer: $90.75

5 0
3 years ago
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