there is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. another marble is taken at random. what is the probability of getting 2 reds ?

Answers

Answer 1

Answer: You can just use some sort of counting principle
The first time you draw a read marble, your odds of getting 1 were 4/7
You are not replacing the marble. Your choice now is 3/6

P(2 reds) = (4/7) * (3/7) = 12/49 <<<<< Answer

Answer 2

Answer: the probability is:
$(1)/(49)$
1/49

good luck

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You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in totality do you need to save each month to reach your goal if you cover closing costs and the down payment?

Answers

You have to save $439.50 each month to reach your goal if you cover closingcosts and the down payment.

What is the down payment?

A down payment is a sum of money that a buyer pays in the early stages of purchasing an expensive good or service.

You want to buy a house in 9 years.

The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%.

The amount for the down payment:

175,800 x 20% = 35,160

The closing cost of house is;

175,800 x 7% = 12,306

Amount to save: 35,160 + 12,306 = 47,466

The monthlysavings is;

9 years x 12 months = 108 months

47,466 / 108 = 439.50 savings per month.

Hence, you have to save $439.50 each month to reach your goal if you cover closingcosts and the down payment.

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If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

Answers

The gas tank contains 18 gallons when the gas tank is three-fifths full.

We are given that,

A gastank can hold 30 gallons.

We need to find how many gallons it contains when it is three-fifthsfull.

What is a fraction?

A fraction has two parts :

- Numerator

- Denominator.

The numerator is the number of required parts from the total number of parts in the denominator.

We have,

"A gas tank can hold 30 gallons"

This means that when the gas tank is full it can hold 30 gallons.

We can write it as,

Full tank = 30 gallons ----------------(A)

Since we need to find three-fifths full, we need to multiply 3/5 in (A).

We have,

3/5 x full tank = 3/5 x 30 gallons

3/5 full tank = 3 x 6 gallons

3/5 fulltank = 18 gallons.

Thus the gas tank can hold 18 gallons when the gas tank is three-fifths full.

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3/5 of 30 is 90/5
3/5 of 30 is 18

so when it is 3/5 full then it has 18 gallons

Christine has 28 jazz songs and classical songs on a playlist. The play list has 3 times as many jazz songs as classical songs. She has 7 times as many rock songs as classical songs. How many Jazz songs are in the playlist? How many rock songs are on the playlist?

Answers

I assume you mean the total number of jazz and classical songs combined is 28 songs?
3 times as many jazz as classical:
Means there is a ratio of 3 jazz to 1 classical, which means there are essentially 4 parts (3+1=4). So if we divide 28/4=7. This gives one part = number of classical songs, jazz is 3 parts so 7*3=21 jazz songs.
7 times as many rock as classical:
From above we know there are 7 classical songs. 7*7=49 rock songs.
Jazz=21 songs
Rock=49 songs

Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles congruent triangles similar triangles

Answers

The correct answer is:

Congruent triangles.

Explanation:

Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.

The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.

The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.

Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

I think it's congruent triangles

What is the sum of 4x² + 2x - 5 and 7z– 5x + 2?