Solve using elimination: x = y and 3x + 7y = 10

Here is the feasible region.

8090 [49]

Answer:

A(8, 10)

Step-by-step explanation:

Vertex A is on the vertical line x=8, so we can find the y-coordinate by solving the boundary equation ...

5x +8y = 120

5(8) +8y = 120 . . . use the x-value of the vertical line

5 + y = 15 . . . . . . . divide by 8

y = 10 . . . . . . . . . . subtract 5

Point A is (8, 10).

6 0

4 years ago

How many solutions does the system of equations have? .

andreev551 [17]

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point. No solution.

Step-by-step explanation:

4 0

3 years 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

What is 12 minus r What operation is being done Write the expression

Contact [7]

Subtraction 12-r is your answer

4 0

3 years ago

You are on a business trip in Great Britain. Great Britain uses the pound for currency. The exchange rate is 1 British Pound is

artcher [175]

If the exchange rate is $1.46 and you are exchanging $100, you will receive 146 pounds.

8 0

3 years ago

Read 2 more answers