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solmaris [256]
2 years ago
11

Please help me with this.

Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

The image of the point (1, 2, 3) is (3, 7)

<h3>How to determine the image?</h3>

The given parameters are:

  • Point = (1, 2, 3)
  • Transformation rule = (3x, 2y + z)

In (1, 2, 3), we have:

x = 1; y = 2 and z = 3

When the rule is applied, we have:

Image = (3x, 2y + z)

Image = (3 * 1, 2 *2 + 3)

Evaluate

Image = (3, 7)

Hence, the image of the point (1, 2, 3) is (3, 7)

Read more about transformation at:

brainly.com/question/4289712

#SPJ1

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Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

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That means at least 195 students must attend if the science club is to earn at least $ 640

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Step-by-step explanation:

If you multiply the ratio by 2, for example, it will still be equal.


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Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. ​(a) Descri
OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

\sigma = 6

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

\sigma_ { \bar X }  =  \frac{ \sigma}{ \sqrt{n} }  \\ \sigma_ { \bar X }  =  \frac{ 6}{ \sqrt{36} }  = 1

Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

P(\bar X \:>\:75.9)  = P(z \:>\: \frac{75.9 - 74}{1} )  \\  = P(z \:>\: \frac{75.9 - 74}{1} ) \\  = P(z \:>\: 1.9) \\  = 0.0287

Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

5 0
3 years ago
Find the value of X in the parallelogram below.
nignag [31]

Answer:

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2 years ago
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