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VLD [36.1K]
2 years ago
15

Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

Answer:

C)

Step-by-step explanation:

if the shapes were rotated it would be easier to prove that the shape are congruent. Hope this helps :)

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Select the system that has the same solution as -2x+2y=-5 5x- 6y =8
stiks02 [169]

Answer:

-2x+2y=-5 is equal to x=y+ 5 /2

5x- 6y =8 is equal to x= 6 /5 y+ 8 /5

Step-by-step explanation:

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3 years ago
For example, for a circle of diameter 4 cm, the circumference is approximately<br> cm.
Simora [160]

Answer:

the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.

Step-by-step explanation:

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In circle O, and are diameters. The measure of arc DC is 50°.
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220

Step-by-step explanation:

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Read 2 more answers
If 5/8ths is equal to $531.25 what is the remaining portion of the number.
Nimfa-mama [501]
5/8 = .625
531.25 / .625 = 850
850 - 531.25 = $318.75

7 0
3 years ago
A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience
bulgar [2K]

Answer:

a) P(X \geq 1) = 1-P(X

P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}

And replacing we got:

P(X \geq 1) =1 -1x10^{-18} \approx 1

b) P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355

P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047

P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517

And adding we got:

P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992

c) P(X \leq 8) =1 -P(X>8) = 1-P(X=9)

P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517

And replacing we got:

P(X \leq 8)= 1-0.913517=0.086483

Step-by-step explanation:

Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:

X \sim Binom(n=9, p=0.99)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

We want to find this probability:

P(X \geq 1) = 1-P(X

P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}

And replacing we got:

P(X \geq 1) =1 -1x10^{-18} \approx 1

Part b

P(X \geq 7)= P(X=7) +P(X=8)+ P(X=9)

P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355

P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047

P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517

And adding we got:

P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992

Part c

P(X \leq 8) =1 -P(X>8) = 1-P(X=9)

P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517

And replacing we got:

P(X \leq 8)= 1-0.913517=0.086483

4 0
3 years ago
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