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3 years ago

PLEASE ANSWER FAST! What does it mean when the point on the number line is an open circle?

Mathematics

2 answers:

Zarrin [17]3 years ago

7 0

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Step-by-step explanation:

Stolb23 [73]3 years ago

5 0

Answer:

See explanation for answer.

Step-by-step explanation:

When the point on the number line is an open circle, that means that the inequality does not include that exact value. For instance, in this case the inequality only takes number higher than, but not equal to, -1. Hope this helps!

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Which statement is false

Feliz [49]

Answer:

Step-by-step explanation:

So this statement is false. Example 4: Every integer is a rational number. This is true because every integer can be written as a fraction with a denominator of 1. Example 5: Every natural number is a whole number, integer, and a rational number.

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2 years ago

Mina uses 128 pounds of dog food to feed her 16 dogs. find the unit rate per dog

MAXImum [283]

The unit rate is 8 pounds per dog.

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3 years ago

Read 2 more answers

HELP IS OVERDUED AND I NEED THE CORRECT ANSWER AND WORK BY TODAY BEFORE SHE COUNTS IT LATE!!!!! ALMOST 3:20am!!!!! The answer wr

Nuetrik [128]

Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

the total area is the sum of the areas:

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3 years ago

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

Please help me tysm!

Nikolay [14]

Answer:

Step-by-step explanation:

I wrote down the subject with the number of students. I looked one by one to see if the number of students with the subject matched with the graph. Then I finally found that the last graph matched with what I written down.

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3 years ago