How do you do these 4 questions and the reasons?

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

Step-by-step explanation:

"There are several flights that have very long delays."

True. On the boxplot, we can see several outliers greater than the maximum.

"More than 25% of flights are either exactly on time or arrive early."

False. According to the 5 number summary, 25% of the flights are between -55 and 13. So less than 25% of the flights are on time or early.

"About 50% of flights are delayed between 13 and 35 minutes."

False. According to the 5 number summary, 25% of the flight times are less than 13 minutes, and 50% of the flights are less than 35 minutes. So 25% of the flights are delayed between 13 and 35 minutes, not 50%.

"About 25% of flights are delayed by more than 78 minutes."

True. According to the 5 number summary, 75% of the flights are delayed less than 78 minutes. Which means 25% of the flights are delayed more than 78 minutes.

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What is the measure of arc WXY

bonufazy [111]

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent $\overleftrightarrow{YZ}$ and WY is secant or chord of the $\odot J$ .

$\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\$

NOW, by tangent secant theorem:

$m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}$