a sequence has an initial value of 10 and each term is twice the previous term.which function models this sequence

Answers

Answer 1

Answer: Hello,

10,20,40,80,....,
$u_(0)=10$
$u_(n+1)=2*u_(n)$

function is y=2x

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You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.What is the probability of:

selecting a penny?

selecting a nickel?

not selecting a dime?

selecting a dime or a quarter?

Answers

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

Probability

From the formula for probability,

$P(A) = (Number\ of\ favourable\ outcomes\ to\ A)/(Total\ number\ of\ possible\ outcomes)$

Total number of possible outcomes = 30

The probability of selecting a penny

$P(penny) = (8)/(30)$

$P(penny) = (4)/(15)$

The probability of selecting a penny is 4/15

The probability of selecting a nickel

$P(nickel) = (10)/(30)$

$P(nickel) = (1)/(3)$

The probability of selecting a nickel is 1/3

The probability of selecting a dime

$P(dime) = (7)/(30)$

The probability of selecting a dime is 7/30

The probability of selecting adime or a quarter

First, we will calculate the probability of selecting a quarter

$P(quarter) = (5)/(30)$

$P(quarter) = (1)/(6)$

Then, the probability of selecting a dime or a quarter is

$P(dime \ or \ quarter) = (7)/(30)+ (1)/(6)$

$P(dime \ or \ quarter) = (7+5)/(30)$

$P(dime \ or \ quarter) = (12)/(30)$

$P(dime \ or \ quarter) = (2)/(5)$

The probability of selecting a dime or a quarter is 2/5

Hence,

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

Learn more on Probability here: brainly.com/question/251701

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the sum of two numbers is 60. the larger number is 12 more than the smaller number. what is the number?

Answers

The larger number is: 36
The smaller number is: 24

Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12

If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.

60% of what number is 150?

Answers

Answer:

Step-by-step explanation:

To solve this you must make a proportion of x/150 60/100. Then you need to find the relation between 100 and 150 which is x 1.5. Then apply the same thing to 60 which results in 90.

Answer: 250

You must set this up as a proportion

Remember the percent is always over 100

150/x=60/100

Then solve the proportion

60x=15000

Get the x by its self

15000/60 is 250

x=250

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Answers

With the created probability distribution below, the answer to the question you have presented above would be .6. The probability that a worker chosen at random works at least 8 hours would be .6.

The probability that a worker chosen at random works at least 8 hours is 0.84