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3 years ago

11

If Fahmida randomly picks a jelly bean out of the jar, what is the probability that the jelly bean will be green (find the simpl

est form)?

1 answer:

Neko [114]3 years ago

7 0

Answer:

1/5

Step-by-step explanation:

you divide the amount of green jelly beans by the total amount of jelly beans in the jar, which gives you 10/50 or 1/5.

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Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c

jeka94

Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

$a_1 = 2, q = 2$

Hence the number of people after n weeks is:

$a_n = 2 \times 2^{n - 1}$

For the first 5 weeks, the numbers are:

$a_1 = 2 \times 2^{1 - 1} = 2$

$a_2 = 2 \times 2^{2 - 1} = 4$

$a_3 = 2 \times 2^{3 - 1} = 8$

$a_4 = 2 \times 2^{4 - 1} = 16$

$a_5 = 2 \times 2^{5 - 1} = 32$

There will be 150 volunteers when $a_n = 150$ , hence:

$2 \times 2^{n - 1} = 150$

$2^{n-1} = 75$

$\frac{2^n}{2} = 75$

$2^n = 150$

$n = 7...$

The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

3 0

1 year ago

Find principal of a loan at 11% for 5 years with $426.25 simple interest

Ahat [919]

Answer:

$P=775$

Step-by-step explanation:

The Simple Interest Equation is $A = P(1 + rt)$

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

$A-P= interest$

clearing

$A=interest+P$

replacing

$426.25 + P = P (1+(0.11(5))$

Solving

$426.25+P=1.55P$

$P-1.55P=-426.25$

$-0.55P=-426.65$

$P=\frac{-426.25}{-0.55}$

$P=775$

7 0

2 years ago

Please help me with this. Thank you. :)

Anarel [89]

Answer:

(3,-1) (4,-2)

Step-by-step explanation:

the coordinates are what you have to look for

3 0

2 years ago

It is known that 5 3x+2

tatyana61 [14]

Answer:

We simply wont know until we find out now wont we??

Step-by-step explanation:

My Mind

8 0

3 years ago

$25,000 $45,000 $55,000 $25,000 $35,000 $1,000,000 $35,000 $45,000 $55,000 $25,000 Which of these is the MOST reasonable represe

MaRussiya [10]

45,000 would be the normal pay for a typical employee

4 0

3 years ago