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Liono4ka [1.6K]
3 years ago
6

Help ASAP Geometry 20 points

Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

(3, 3 )

Step-by-step explanation:

Under a translation < 8, 0 > then

A(- 5, - 3 ) → (- 5 + 8, - 3 + 0 ) → (3, - 3 )

The line with equation y = 0 is the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(3, - 3 ) → (3, 3 )

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Write the next whole number after 6748nine in the base-nine system.
ale4655 [162]

Answer:

Step-by-step explanation:

6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}

Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have

6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}

Therefore, the number on base 9 will be 6750

7 0
3 years ago
Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of
jeka94

Answer:

Step-by-step explanation:

Let M(x) be the cost of renting from Mozart's Music Store for x years, and B(x) be the cost of renting from Bach's Music Store for x years.

From the problem statement, we can come up with the following equations:

M(x) = 34(12x)

B(x) = 30(12x) + 48x

Plugging in x = 9 for each equation, we can get the answer:

M(9) = 34(12 * 9)

M(9) = 34(108)

M(9) = 3672

B(9) = 30(12 * 9) + 48(9)

B(9) = 30(108) + 432

B(9) = 3240 + 432

B(9) = 3672

From this, we can see that the value is equal for both stores.

4 0
3 years ago
Help me on 16 and 17 please as fast as possible it’s due tomorrow
mihalych1998 [28]

Answer:

Step-by-step explanation:

16.) 2/3

You add up the fractions and then reduce.

(5/12 + 3/12 = 8/12 = 2/3)

17.) No because if you add all the fractions together, you only get 7/8. This means the project is not complete yet.

7 0
3 years ago
The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, express
Aloiza [94]

Answer:

The answer is "\bold{\frac{22}{171}}"

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about \frac{(22\ million)}{(171\ million)} = \frac{22}{171}

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

3 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
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