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vodka [1.7K]
3 years ago
14

Let f(x) =(x-3) find the domain of x

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

all real numbers

Step-by-step explanation:

The domain of a function is the set of values you can set as x to output an answer. Since you can subtract 3 from any real number, the domain of x-3 is all real numbers.

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Complete the simplified ratio:<br> 0.2 : 3.75
sesenic [268]

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

4 0
3 years ago
Read 2 more answers
a study studied the birth weights of 1,999 babies born in the United States. The mean weight was 3234 grams with a standard devi
Aleks [24]

Answer:

1899

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 3234

Standard deviation = 871

Percentage of newborns who weighed between 1492 grams and 4976 grams:

1492 = 3234 - 2*871

So 1492 is two standard deviations below the mean.

4976 = 3234 + 2*871

So 4976 is two standard deviations above the mean.

By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.

Out of 1999:

0.95*1999 = 1899

So the answer is 1899

8 0
3 years ago
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte
Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that \mu = 48, \sigma = 12

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

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

Z = \frac{78 - 48}{12}

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0
3 years ago
What is 1 2/3 equal to
atroni [7]

Answer:

1 2/3 = 5/3

6 3/4 = 27/4

-9 7/3 = -34/3

4 2/7 = 30/7

Step-by-step explanation:

7 0
3 years ago
Lydia was out at a restaurant for dinner when the bill came. Her dinner came to $30. After adding in a tip, before tax, she paid
Aloiza [94]

Answer:

15%

Step-by-step explanation:

34.50-30=4.50

10% of 30= 3

5%of 30 = 1.50

3+1.50=4.50

so 4.50 = 15%

7 0
3 years ago
Read 2 more answers
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