SOMEONE please help me

Mathematics

1 answer:

UNO [17]3 years ago

4 0

Answer: she played 5 games and went on 8 rides

Step-by-step explanation:

Let x represent the number of games that Sydney played.

Let y represent the number of rides that Sydney went on.

Each game cost $1.25 and each ride cost $2.25. If Sydney spent $24.25 altogether at the carnival, then the expression is

1.25x + 2.25y = 24.25- - - - - - - - - - -1

If the number of rides that she went on is 3 more than the number of games that she played, the expression would be

y = x + 3

Substituting y = x + 3 into equation 1, it becomes

1.25x + 2.25(x + 3) = 24.25

1.25x + 2.25x + 6.75 = 24.25

3.5x = 24.25 - 6.75

3.5x = 17.5

x = 17.5/3.5

x = 5

y = x + 3 = 5 + 3

y = 8

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The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a

jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this problem, we have that:

$\mu = 478, \sigma = 64$