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3 years ago

Help ASAP (RIGHT ANSWER GETS BRAINLIEST)

Mathematics

2 answers:

Gnoma [55]3 years ago

5 0

Answer:

Dilation by a scale factor of 4 followed by reflection over the y-axis

Step-by-step explanation:

densk [106]3 years ago

5 0

<h2>Answer:</h2>

The set of transformations that has been performed on triangle EFG to form triangle E"F"G" is:

Dilation by a scale factor of 4 followed by reflection over the y-axis

<h2>Step-by-step explanation:</h2>

The coordinates of the vertices of triangle EFG are:

E(-2,1)

F(-2,0)

and G(-3,0)

Now when it is dilated by a scale factor of 4 then the rule of transformation is:

(x,y) → (4x,4y)

Hence,

E(-2,1) → E'(-8,4)

F(-2,0) → F'(-8,0)

and G(-3,0) → G'(-12,0)

Now when this figure is again reflected over the y-axis then the rule of transformation is:

(x,y) → (-x,y)

Hence,

E'(-8,4) → E"(8,4)

F'(-8,0) → F"(8,0)

and G'(-12,0) → G"(12,0)

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3 years ago

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solniwko [45]

Answer:

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2 years ago

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3 years ago

For a fair coin, suppose you toss the coin 100 times.

Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

$\mu = np = 100(0.5) = 50$ .

$\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5$

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{66.5 - 50}{5}$

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Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

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1 year ago

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mario62 [17]

It is true. Guptas did figure out the earth was round by observing lunar eclipses.

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3 years ago

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