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3 years ago

Find the common ratio. a2 = 7; a4 = 1575

Mathematics

2 answers:

liberstina [14]3 years ago

7 0

Answer: 15

<u>Step-by-step explanation:</u>

a₁ = ___, a₂ = 7, a₃ = ____, a₄ = 1575

a₁(r) = a₂

a₂(r) = a₃

a₃(r) = a₄

To get from a₂ to a₄, you have to multiply by r²

⇒ 7r² = 1575

⇒ r² = 225

⇒ r = 15

hichkok12 [17]3 years ago

7 0

common ratio r = 15

The n th term of a geometric sequence is

• $a_{n}$ = $a_{1}$ $(r)^{n-1}$

where $a_{1}$ is the first term and r the common ratio

$a_{2}$ = $a_{1}$ r = 7 → (1)

$a_{4}$ = $a_{1}$ r³ = 1575 → (2)

divide (2) by (1)

r² = $\frac{1575}{7}$ = 225 ⇒ r = $\sqrt{225}$ = 15

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3 years ago

Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime numb

hammer [34]

Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

According to the statement

we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.

and we have to find that the expected value of the difference between the number of days.

So, the total number of days in a year is 365 days.

Chance to get a prime number on a die = 3/6

Chance to get a prime number on a die = 1/2.

and chances to get a composite number = 2/6

chances to get a composite number = 1/3

and chances to get a 1 on a die = 1/6.

Then the expected value =

so, expected value = 365(1/6) + 365(1/3) + 365(1/2)

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Expected value = 1+2+1

then the value become is 4

and by this way he eat 171 days sweet cereal and other days he eat unsweetened.

So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

Learn more about Expected value here brainly.com/question/15858152

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What is 7.0055 as a mixed number

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Hunter-Best [27]

Answer:

Yes

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1. Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

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