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Stolb23 [73]
2 years ago
13

A fraction is written in simplest form when the GCF of the numerator and the denominator is

Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
3 0

Answer:

simplified

Step-by-step explanation:

Natali5045456 [20]2 years ago
3 0

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

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If 48% of a number, n, is 40.32, what is 20% of n?
jok3333 [9.3K]

Answer:

Step-by-step explanation:

48% of n = 0.48n = 40.32

n = 84

20% of n = 0.20*84 = 16.8

7 0
2 years ago
What digit is in the ten-thousands place in the number 81,473
Ugo [173]

Answer:

8

Explanation:

8 - Ten-Thousands

1 - Thousands

4 - Hundreds

7 - Tens

3 - Ones

3 0
3 years ago
Read 2 more answers
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Tresset [83]

Answer:

the answer you are looking for is C

7 0
2 years ago
Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A samp
shutvik [7]

Answer:

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

Step-by-step explanation:

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

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.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20, standard deviation of 5:

This means that \mu = 20, \sigma = 5

Sample of 170:

This means that n = 170, s = \frac{5}{\sqrt{170}}

What is the probability that a sample of 170 steady smokers spend between $19 and $21?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{5}{\sqrt{170}}}

Z = 2.61

Z = 2.61 has a p-value of 0.9955

X = 19

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

Z = \frac{19 - 20}{\frac{5}{\sqrt{170}}}

Z = -2.61

Z = -2.61 has a p-value of 0.0045

0.9955 - 0.0045 = 0.9910

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

3 0
3 years ago
How many 3-digit natural numbers are there?
Aleks04 [339]

Answer:

900

Step-by-step explanation:

natural numbers are all positive numbers that dont include 0

5 0
3 years ago
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