# The owner of a bike shop sells tricycles (3 wheels) and bicycles (2 wheels), keeping inventory by counting seats and wheels. One day she counts 13 seats and 31 wheels. How many of each type of cycle are there? A. t + b = 13 3t + 2b = 31 B. t + b = 5 3t + 2b = 44 C. t • b = 44 3t + 2b = 13 D. t + b = 31 3t + 2b = 13

A. t + b = 13

3t + 2b = 31

13 is the total made (which counts all tricycles and bicycles)

31 is the total wheels used (so you have to count the amount of wheels used for each bike, and how much of each is made).

hope this helps

Answer: T + b = 13...this is the seats....the number of trike seats + bike seats = 13
3t + 2b = 31....this is the wheels....number of trikes with 3 wheels + number of bikes with 2 wheels = 31 wheels

## Related Questions

Find the degree of the monomial 13
A. 3
B. 4
C. 1
D. 0

D

Step-by-step explanation:

Note that 13 = 13 since = 1

Then 13 is a monomial of degree 0 → D

Given the system of equations: 2x + 2y = 16
6x + 4y = 38
What is the value of X?
A. 13
B. -1
C. 3
D. 1/3

2x=16-2y
x=8-y

6(8-y)+4y=38
48-6y+4y=38
48-2y=38
-2y=-10
y=5

8-5=x
x=3

You earn 21.00 per hour at your job if you get a 9% raise at the end of each year what wil your hourly rate be after 5 years

At the end of 5 years, you will get a 9.45 dollar raise

21.00*.09=1.89
1.89*5=9.45

so 21.00+9.45= 30.45
Year 1 \$22.89
Year 2 \$24.95
Year 3 \$27.20
Year 4 \$29.65
Year 5 \$32.32

According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 11 or more are serving time for drug dealing? (Round your answer to three decimal places.)
(b) What is the probability that 2 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)
(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)

a)

b)

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

The probability mass function for the Binomial distribution is given by:

Where is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

represent the number federal inmates that are serving time for drug dealing

represent the proportion of federal inmates that are serving time for drug dealing

random sample selected

2) Part a

The random variable X follows this distribution

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

3) Part b

4) Part c

The expected value for the binomial distribution is given by the following formula:

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.