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3 years ago

There is a bag filled with 4 blue and 5 red marbles.

Mathematics

1 answer:

kkurt [141]3 years ago

6 0

Answer:

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

If two marbles are taken and we are looking for exactly one red, then it is:

red, then blue or blue, then red

Find the probability of each case:

P(r, b) = 5/9*4/8 = 5/18
P(b, r) = 4/9*5/8 = 5/18

Probability of exactly one red:

P = 5/18*2 = 5/9

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The formula for the area of a circle is A = 1tr2 (use n =3.14)

makkiz [27]

It would be 3.14(7)^2
Then 3.14*49
Multiply those two to get your area

3 0

3 years ago

Find the value of 7 Y if 3 bracket Y - 1 bracket is equal 21

lawyer [7]

Answer:

$7y = 56$

Step-by-step explanation:

$3(y - 1) = 21$

Divide 3 on both sides:

$y - 1 = 7$

Add 1 to both sides:

$y = 8$

Multiply by 7 on both sides:

$7y = 56$

8 0

3 years ago

If you need $3,000 four years from now, how much would you need to deposit into an account that earns 5% interest, compounded an

Aleks04 [339]

Answer:

2468.11 dollars

Step-by-step explanation:

Amount that should be available after four years =3000 $

Interest rate = 5%

No of years =4

Let P be the principal invested

Then $3000=P(1+0.05)^4\\P=3000(1.05)^{-4} \\=2468.11$

Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.

6 0

3 years ago

Which number is irrational

alina1380 [7]

For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction $\frac {a} {b}$ , where a and b are integers and b is nonzero.

Some examples are:

$\sqrt {2}, \sqrt {3}, e, \pi.$

So, that the answer is $\pi.$

Answer:

Option C

4 0

3 years ago

A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects

Luden [163]

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

4 0

3 years ago