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BabaBlast [244]

2 years ago

13

A bag contains six red marbles four blue marbles and three green marbles if three marbles are drawn out of the bag what is the e

xact probability that all three marbles drawn will be blue

1 answer:

Klio2033 [76]2 years ago

3 0

Answer:4/13

Step-by-step explanation:

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Phalicia is a senior at North HS and wants to begin saving for college. She's trying to choose between two savings account optio

iris [78.8K]

Answer:

Option 2

Step-by-step explanation:

Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.

With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.

With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.

Obviously, she should choose Option 2 because she saves A LOT more money.

Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.

8 0

2 years ago

Cydney built a display stand out of two cubes. The larger cube is 8 inches on each side. The smaller cube is 4 inches on each si

aivan3 [116]

The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.

5 0

2 years ago

At midnight the temperature in a garden was -2 °C.

WITCHER [35]

7 degrees celcious

-2+9= 7

7 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP, I NEED A PERFECT SCORE. I'M IN A STRESS AND PANIC MODE BECAUSE I MAY NOT FINISH 9TH GRADE, PLZ HELP ME ANSWER

grandymaker [24]

M(x) = 5x + 4 n(x) = 6x - 9

Part 1 (m + n)(x) = 5x + 4 + 6x - 9
= 11x - 5

Part 2 (m * n)(x) = (5x + 4)(6x - 9) = 30x^2 - 21x - 36

Part 3 m[n(x)] = 5(6x - 9) + 4
= 30x - 45 + 4
= 30x - 41

5 0

2 years ago

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

<u>GIVEN :-</u>

First term of G.P. = 6
Forth term of G.P. = 384

<u>TO FIND :-</u>

Sum of first 10 terms of the G.P.

<u>CONCEPT TO BE USED IN THIS QUESTION :-</u>

<em>Geometric Progression :-</em>

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

<em>[NOTE :- </em> $\frac{a(1-r^n)}{1-r}$ can also be the<em> formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. </em><em>YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.</em><em>]</em>

<u>SOLUTION :-</u>

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that <u>forth term</u> is 384. So from "General form of G.P." , it can be stated that :-

$=> ar^3 = 384$

$=> 6r^3 = 384$

Divide both the sides by 6.

$=> \frac{6r^3}{6} = \frac{384}{6}$

$=> r^3 = 64$

$=> r = \sqrt[3]{64} = 4$

Sum of first 10 terms $= \frac{6(4^{10}-1)}{4 - 1}$

$= \frac{6(1048576 - 1)}{3}$

$= 2 \times 1048575$

$= 2097150$

6 0

2 years ago