A community bike ride offers 5.7 mile ride

On Tuesday Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What is the total time for both m

miv72 [106K]

She ran a total time of 16.23 minutes

3 0

3 years ago

Which size container of cold farm ice cream is the better deal for Sheldon? Explain.

Art [367]

<u>Cold Farms: </u>

<u>Small box </u>

1 pint = $2.50

1 quart = $4.50

<u>Large Box</u>

1 quart = 2 pints .

2 pints = $4.50

1 pint = $4.50 / 2 = $2.25

<u>Cone Dreams:</u>

<u>Small box </u>

1 quart = $4.25 and

1 pint = $4.25/2 = $ 2.125

<u>Large Box</u>

1 gallon = $9.50.

1 gallon = 8 pints

8 pints = $9.50.

1 pint = $9.50 / 8 = $ 1.1875.

<h3>15) Therefore, large size container of Cold Farms ice cream is better deal for Sheldon because it cost $2.25 per pint of ice cream as compared to small box cost $2.50 per pint.</h3><h3 /><h3>16) Cone Dreams Large size container cost just $ 1.1875 per pint of ice cream. So, Cone Dreams Large size container is best deal.</h3>

8 0

4 years ago

Read 2 more answers

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

4 years ago

Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?

horsena [70]

The answer is 2/5 which is C. You're welcome

4 0

3 years ago

Read 2 more answers

I really need help!!!

Ksenya-84 [330]

Answer(-2:23)

Step-by-step explanation:gose in a pattern.

8 0

3 years ago