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Lorico [155]
3 years ago
14

Which of the four triangles was formed by a translation of Triangle ABC?

Mathematics
2 answers:
Lunna [17]3 years ago
8 0

Answer:

4

Step-by-step explanation:

translation simply moves it on the coordinate plane it does not change the shape, orientation, or size of said shape.

lys-0071 [83]3 years ago
7 0

Answer:

a

Step-by-step explanation:

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At NC State University, 16.4% of the undergraduate classes have more than 50 students. If a random sample of 200 undergraduate c
Lena [83]

Answer:

We need to check the conditions in order to use the normal approximation.

np=200*0.164=32.8 \geq 10

n(1-p)=200*(1-0.164)=167.2 \geq 10

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The mean is given by:

p =0.164

And the deviation is given by:

\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=200, p=0.164)

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!}

We need to check the conditions in order to use the normal approximation.

np=200*0.164=32.8 \geq 10

n(1-p)=200*(1-0.164)=167.2 \geq 10

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The mean is given by:

p =0.164

And the deviation is given by:

\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

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3 years ago
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Ivanshal [37]
2 number cubes, which i'm assuming are dice, = 6^2, which = 36. The number of odd digits = 3, the number of even digits = 3. There are 18 odd totals and 18 even totals out of 36 outcomes, or 18/36, or 1/2.
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3 years ago
What’s the length of EF in the right triangle below
Licemer1 [7]
HOPE it helps!!!!!!!!!
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4 0
3 years ago
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In Kite KLMN, find the measure of
Degger [83]

Answer:

M = K =

<h3>101°</h3>

Step-by-step explanation:

M = K, because it's a kite.

  • Kite has 2 angles on the left and right, each with the same size,
  • The kite also has different angles at the other angle points.

(Addition of kite angles result in 360°)

Therefore

360 = 63 + 95 + 2M

2M = 360-63-95

2M = 202

M = 202÷2

M = K = 101°

The size of each angle M and angle K = 101 degrees.

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3 years ago
I NEED HELPPPPPP WILL GIVE A BRAINLIEST TO BEST ANSWER THAT INCLUDES ALL WORK SHOWN, CORRECT ANSWER, AND EVERYTHING MAKES SENSE.
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Step 1: Simplify both sides of the equation.
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4 years ago
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