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3 years ago

Free points because why not i’m bored

Mathematics

2 answers:

katrin [286]3 years ago

7 0

Answer:

Step-by-step explanation:

Thanks

vivado [14]3 years ago

6 0

Thank you kind person/fellow.

You might be interested in

it is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If

Simora [160]

ANSWER:

The probability is 1/43680

STEP-BY-STEP EXPLANATION:

We have the following:

0. The probability that Morgan is chosen first = 1/16. Now there are 15 students left after this.

1. The probability that Harmony is chosen second = 1/15. Now there are 14 students left after this.

2. The probability that Kenny is chosen third = 1/14. Now there are 13 students left after this.

3. The probability that Ben is chosen fourth = 1/13.

Therefore, the required probability is:

$\begin{gathered} p=\frac{1}{16}\cdot\frac{1}{15}\cdot\frac{1}{14}\cdot\frac{1}{13} \\ p=\frac{1}{43680} \end{gathered}$

7 0

1 year ago

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

7 0

3 years ago

Minimize the objective function P = 45x + 48y for the given constraints.

BabaBlast [244]

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

The graph file and correct question are defined in the attachment please find it.

According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).

by putting each point value into the objective function:

$\to P(0,16) = 768\\\\\to P(3,1) = 183\\\\\to P(6,0) = 270$