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3 years ago

9

If a bag contains 4 blue marbles, 8 red marbles, and 2 green marbles, what is the probability of pickibg a marble that is nit gr

een

1 answer:

SashulF [63]3 years ago

7 0

The probability is 85.71%

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What is the nth term?

kumpel [21]

Let $a_k$ denote the <em>k</em>th term of the sequence. Then

$a_k=a_1+d(k-1)$

where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.

The sum of the first <em>n</em> terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the <em>n</em>th term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

7 0

3 years ago

Determine the intercepts of the line.

Charra [1.4K]

Answer:

x-intercept: None

y-intercept: (0,-18)

5 0

3 years ago

the probability that your ticket will be chosen in a drawing is 6% there are 250 tickets in the drawing how many tickets are you

julsineya [31]

No the answer should be 15 tickets. 250x0.06=15. number of tickets multiplied by percentage (in decimal form) to find what 6% of 250.

6 0

3 years ago

The weekday rate for a telephone call is a 2.00 flat fee and a 0.25 for each minute .due to a discount the cost of all calls mad

Ilia_Sergeevich [38]

Monday : 2 + 10*0,25 = 2+2,5 = 4,5

Sunday : Monday - 0,3*Monday = 4,5 - 0,3*4,5 = 4,5 - 1,35 = 3,15

It's cheaper for 4.5 - 3.15 = 1,35

6 0

3 years ago

9. The scale on a map is 1 cm : 7 km. If two cities are 15 cm apart on the map, what is the actual distance between the cities?

Vesna [10]

Answer:

105

Step-by-step explanation:

One way to get this is by multiplying 15 by seven because the key says that one cm equals 7 km

4 0

3 years ago