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Evgesh-ka [11]
3 years ago
5

You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound eve

nt. Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a number less than 7 and then a multiple of 4 is _____

Mathematics
2 answers:
ElenaW [278]3 years ago
7 0
1/9
The only multiple of 4 is 4 & it is less than 7.
Sedbober [7]3 years ago
6 0
I would say there is a 1 in 9 chance, or one ninth (I don’t know how to do the fraction symbol) of your tries would be on the number 2. This is because there are 9 options to choose from but we are strictly speaking of the probability of you choosing one.

For the second question I would say 1 in 9, or 1 ninths of your tries will be on a number less that seven that is also a multiple of 4. The only multiple of four that is less than 7 is four.
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What kind of number is e? <br><br> a.) integer<br> b.) rational <br> c.) natural <br> d.) irrational
Oliga [24]

Answer:

c.natural

Step-by-step explanation:

The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.

7 0
2 years ago
Read 2 more answers
A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

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}}.

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

In this question, we have that:

\mu = 200, \sigma = 50, n = 100, s = \frac{50}{\sqrt{100}} = 5

a. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 200 + 5 = 205 subtracted by the pvalue of Z when X = 200 - 5 = 195.

Due to the Central Limit Theorem, Z is:

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

X = 205

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

Z = \frac{205 - 200}{5}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 195

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

Z = \frac{195 - 200}{5}

Z = -1

Z = -1 has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6426

0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 210 subtracted by the pvalue of Z when X = 190.

X = 210

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

Z = \frac{210 - 200}{5}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 195

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

Z = \frac{190 - 200}{5}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

7 0
3 years ago
What is m angle DFC​
kozerog [31]
Your answer would be 80*
4 0
3 years ago
Read 2 more answers
The ratio of green food coloring to blue food coloring is 1:2. we used 6 drops of blue. how many total drops of food coloring di
ehidna [41]
If the ratio of green to blue food coloring is 1:2 and 6 drops of blue was used, meaning that you basically multiplied 2 by 3 in order to get 6. Then the number of green drops would be 3 (1*3=3). 6+3=9
The total amount of drops of food coloring is then 9.

Hope this helps! (:
7 0
3 years ago
Read 2 more answers
Every hour of driving uses
xenn [34]

Answer:

45 gallons

Step-by-step explanation:

1 hour = 3 gallons

2 hours = 6 gallons

3 hours = 9 gallons

4 hours = 12 gallons

5 hours = 15 gallons

10 hours = 30 gallons

15 hours = 45 gallons

4 0
3 years ago
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