How many perpendicular lines must be drawn in a triangle to prove the Law of Sines?..is it 2, 1,0, or 3..Explain

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

Answer:

We show 1 to distinguish a vertex, but with laws of supplementary the answer is 2.

Step-by-step explanation:

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A professional basketball team made 37.9% of its three-point field goals in one season. If 80 three-point field goal attempts ar

kompoz [17]

Answer:

The probability that more than 35 were made is 0.14686.

Step-by-step explanation:

We are given that a professional basketball team made 37.9% of its three-point field goals in one season.

80 three-point field goal attempts are randomly selected from the season.

Let $\hat p$ = <em>sample proportion of three-point field goals made in one season.</em>

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }$ ~ N(0,1)

where, p = population proprotion of three-point field goals = 37.9% = 0.379

n = sample of three-point field goal attempts = 80

$\hat p$ = sample proportion of three-point field goals = $\frac{35}{80}$ = 0.4375

Now, if 80 three-point field goal attempts are randomly selected from the season, the probability that more than 35 were made is given by = P( $\hat p$ > 0.4375)

P( $\hat p$ > 0.4375) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }$ > $\frac{0.4375-0.379}{\sqrt{\frac{0.4375(1-0.4375)}{80}} }$ ) = P(Z > 1.05) = 1 - P(Z $\leq$ 1.05)