Which of the following numbers is between 0.40 and 0.47?

Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou

cluponka [151]

Answer:

Let x = number of gate tickets, ($1.50)

:

Since there were 600 tickets sold, let (600-x) = the $1 tickets

:

1.50 tickets + $1 tickets = $700

:

1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

6 0

3 years ago

The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun

vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .