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nika2105 [10]
3 years ago
9

Triangle ABC is translated 2 units right and 5 units down to form triangle A'B'C'. This triangle is then translated 5 units righ

t a
form triangle A"B"C". If vertex A is at (-4,2), what are the coordinates of vertex A"?
A (3,-1)
B. (3,1)
C(-4,-2)
D. (2.-4)
E. (-11, 1)
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

The answer is choice A, a.k.a. (3,1)

Step-by-step explanation:

It is given that triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. It means  triangle A'B'C' is translated 5 units right and 4 units up to form triangle A″B″C″.  

Therefore the coordinates of vertex A″ are (3,1).

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Given any undergraduate student, there is 10% chance that they will join the graduate program. In an undergraduate class of 400
nydimaria [60]

Answer: A. 5%

Step-by-step explanation:

Given : The chance that they will join the graduate program : p=0.10

The total number of students in the class: n = 400

For this binomial situation :

\mu=np=400\times0.10=40\\\\\sigma=\sqrt{np(1-p)}=\sqrt{400\times0.10(0.90)}=6

We assume that this is normal distribution.

Let X be the random variable that represents the students will be joining a graduate program.

Z-score : z=\dfrac{x-\mu}{\sigma}

For x= 50 , we have

z=\dfrac{50-40}{6}=1.67

Using the standard normal distribution table , we have

P(x\geq50)=P(z\geq1.67)=1-P(z

Hence, the value i.e.closest to the probability that at least 50 students will be joining a graduate program = 5%

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4 years ago
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Ilia_Sergeevich [38]

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Step-by-step explanation:

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3 years ago
In a certain country, the average age is 31 years old and the standard deviation is 4 years. If we select a simple random sample
KengaRu [80]

Answer: 0.0062

Step-by-step explanation:

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For x = 32

z=\dfrac{32-31}{\dfrac{4}{\sqrt{100}}}=5

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Answer:

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Step-by-step explanation:

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