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3 years ago

Choose whether the following statements are TRUE or FALSE. (10)

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

1. False

2. False

3. True

4. False

5. False

1. A square contains all equal sides while a kite does not

2. A rhombus contains all equal sides while a kite does not

3. Yes, it’s a rectangle with equal sides however a rectangle is not a square

4. Other way around, a quadrilateral is a polygon

5. Parallelogram:

Opposite sides parallel

Opposite sides equal

Opposite angles equal

Diagonals bisect the parallelogram

Diagonals bisect each other

Trapezium:

One pair of opposite sides parallel

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Answer:

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this question, we have that:

$\mu = 19.7, \sigma = 2$

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

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

$Z = \frac{21.4 - 19.7}{2}$

$Z = 0.85$

$Z = 0.85$ has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

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3 years ago

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daser333 [38]

Answer:

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Step-by-step explanation:

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<u>This means the correct answer should be "C. F(x) = 4x² + 1."</u>

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3 years ago