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GREYUIT [131]
3 years ago
7

Two congruent squares are joined to make a rectangle. The perimeter of the rectangle is 96 cm.

Mathematics
2 answers:
mr_godi [17]3 years ago
4 0
Answer is <span>C.
288 cm2

----------------------------------------
96 / 2 = 48

each square has side = 12

so new rectangle has L = 24, W = 12

A = 12 x 24 = 288</span>
loris [4]3 years ago
3 0
<span>D.
144 cm2
</span><span>Two congruent squares are joined to make a rectangle. The perimeter of the rectangle is 96 cm. 

What is the area of the rectangle?

</span>
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(15 qt/hr) x (1/4 gal/qt) x (1/60 hr/min) =

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2 years ago
A triangle in the coordinate plane has vertices ????(0,10), ????(−8,8), and ????(−3,5). Is it a right triangle? If so, at which
GaryK [48]

Answer:

It is a right triangle, the right angle is at the point (-3, 5)

Step-by-step explanation:

The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.

As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).

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3 years ago
A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute
nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

P(k\geq8)=1-P(k

P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\

P(k

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002

5 0
3 years ago
ANSWER ASAP PLS 20 POINTS! Which graph represents the piecewise defined function? y= {3 if x&lt;-2 0 if x=1 -1 if x&gt;1
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Answer:

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Step-by-step explanation:

For simplicity what you should do is, you should satisfy the second condition that is, y=0 if x=1.

Here only the third option is satisfying this condition.

Whenever there is is a white circle or a white point it means that the point does not satisfy the condition and the the function is not defined at that point. And the black point means that the circle is defined at that point and satisfies the condition.

Henceforth, the correct answer is the third option.

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Answer:

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Step-by-step explanation:

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