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Anastaziya [24]
3 years ago
13

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The function below

represents the monthly expenses for an event planning company where f(x) represents the total monthly expenses for planning x events. If at the end of one month the expenses for the company were $12,350, then ___ events were planned
f(x) = 50(2x=1) + 300
Mathematics
2 answers:
Monica [59]3 years ago
7 0

Answer:

120

Step-by-step explanation:

i actually did just guess on that answer i didnt know what to put

Travka [436]3 years ago
5 0

Answer:

There were 120 events planned.

Step-by-step explanation:

We are given the following information in the question:

f(x) represents the total monthly expenses for planning x events.

f(x) = 50(2x+1) + 300

Cost of expenses for the company at the end of one month = $12,350

We have to find the number of events planned that is we have to find the value of x.

f(x) = 50(2x+1) + 300 = 12350\\50(2x+1) + 300 = 12350\\100x + 50 + 300 = 12350\\100x + 350 = 12350\\100x = 12350-350\\100x = 12000\\\\x = \displaystyle\frac{12000}{100} =120

Thus, there were 120 events planned.

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Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

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Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

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Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

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$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

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