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2 years ago

What is wrong with this dot plot?

Mathematics

1 answer:

Dafna1 [17]2 years ago

6 0

Step 1: Assess the key characteristics. Examine the peaks and spread of the distribution. ...
Step 2: Look for indicators of nonnormal or unusual data. Skewed data and multi-modal data indicate that data may be nonnormal. ...

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Which description matches the graph of the inequality y ≥ |x + 2| – 3? a shaded region above a solid boundary line a shaded regi

Alex777 [14]

The given inequality is y ≥ |x + 2| -3.

This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1

(b) y ≥ -x -2 - 3
or
y ≥ -x - 5

A graph of the inequality is shown below. The shaded region satisfies the inequality.

Answer: A shaded region above a solid boundary line.

6 0

2 years ago

To make sure that a given parallelogram is a rectangle, at least hon many of

zmey [24]

Answer:

D. One

Step-by-step explanation:

A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

"The Math"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

8 0

2 years ago

How much is 5.802 less than 74.14

Wewaii [24]

Answer:

68.338

Step-by-step explanation:

to know how much is less than we have to substract

74.14-5.802=68.338

4 0

2 years ago

Find the perimeter and volume of the shed.

Anni [7]

Answer:

Perimeter=48.497

Volume=997.661

Step-by-step explanation:

Perimeter:

$2\sqrt{192} +2\sqrt{108} =48.497$

Volume:

$\sqrt{192}*\sqrt{108} *\sqrt{48} =997.661$

8 0

3 years ago

A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the

hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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 establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that $p = 0.08$

Sample of 595:

This means that $n = 595$

Mean and standard deviation:

$\mu = p = 0.08$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111$

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

$Z = \frac{0.05 - 0.08}{0.0111}$

$Z = -2.7$

$Z = -2.7$ has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0

3 years ago