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3 years ago

What is the distance formula for finding the distance between the two points (x1,y1) and (x2,y2)?

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

D = $\sqrt{(x1-x2)² + (y1-y2)²}$

Step-by-step explanation:

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On a trip, Alexander bought a ping-pong racket for $13. With the tax, he paid $14.04. What is the tax rate, in percent?

Fed [463]

Answer:

8% tax rate.

Step-by-step explanation:

$\frac{14.04}{13} =1.08$

The 8% (0.08) is the tax rate because the 100%, or 1.00, is the original price of the racket, which was $13.

6 0

3 years ago

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Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within

valentinak56 [21]

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157$

Second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037$

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis : p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

$Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }$

$P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612$

Q = 1 - P = 1 - 0.2612 = 0.7387

$Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }$

Z = 1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

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3 years ago

A degree is larger than 30 arc minutes. ...? true or false

oksano4ka [1.4K]

It is a completely true statement that a degree is larger than 30 arc minutes. The correct option among the two options that are given in the question is the first option. 30 arc minutes is almost equal to 1/2 degree. I hope that this is the answer that you were looking for and the answer has actually come to your great help.

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3 years ago

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What is the answer? 8 x 1/2 = ______

Sidana [21]

Answer:

Step-by-step explanation:

Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.

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3 years ago

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A circle has a diameter of 16 m. What is its circumference