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2 years ago

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer:

$(x,y)\rightarrow(x-3,y+5)$

Step-by-step explanation:

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is:

$(x,y)\rightarrow(x-3,y+5)$

Therefore, Option C should be the correct answer.

<em>Brainilest Appreciated. </em>

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School lunches cost PHP 135.50 per week. About how much would 15.5 weeks of lunches cost?

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Answer: $2,100.25

Step-by-step explanation:

$135.50 x 15.5 = $2,100.25

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2 years ago

A dentist wants to find out how often her patients floss their teeth. Which samples are biased? Check all that apply. all her pa

ArbitrLikvidat [17]

Answer:

all her patients patients with no cavities

patients younger than 18

every patient with braces

Step-by-step explanation:

when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.

From given case, all the following are biased samples

all her patients patients with no cavities

patients younger than 18

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because they are non-random sample of a population in which all other elements were not equally likely to be chosen!

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2 years ago

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Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para

kvasek [131]

Answer:

(a) 0.932

(b) 0.0653

(d) 0.316

(e) 0.251

Step-by-step explanation:

From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

(a) $P(X \leq 8) = 0.932$ (cumulative)

(b) P(X = 8) = 0.0653 (density)

(d) $P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316$ (cumulative)

(e) $P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251$

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2 years ago

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than

aleksandrvk [35]

Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

$H_1: \mu > 60,000$

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:

$H_0: \mu \leq 60,000$

At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:

$H_1: \mu > 60,000$

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2 years ago

The graph represents the feasible region for the system:

morpeh [17]

We have been given a system of inequalities and an objective function.

The inequalities are given as:

$y\leq 2x\\
x+y\leq 45\\
x\leq 30\\$

And the objective function is given as:

$P=25x+20y$

In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.

The graph of the region is shown below:

From the graph, we can see that corner points of the feasible region are:

(x,y) = (15,30),(30,15) and (30,60).

Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.

$\text{At (15,30)}\Leftrightarrow P=25\cdot 15+20\cdot 30=975\\
\text{At (30,15)}\Leftrightarrow P=25\cdot 30+20\cdot 15=1050\\
\text{At (30,60)}\Leftrightarrow P=25\cdot 30+20\cdot 60=1950\\$

Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30

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2 years ago

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