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1 year ago

Please answer the following questions correctly.

Mathematics

1 answer:

mamaluj [8]1 year ago

5 0

Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

<h3>Translation and transformation</h3>

Translation is the transformation technique of changing the position of an object on the xy-plane.

Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2

Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

Learn more on translation here: brainly.com/question/12861087

#SPJ1

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Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests tha

dezoksy [38]

Answer:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. The probability is 0.2029 or 20.29%

c. The probability is 0.2029 or 20.29%

d. The probability is 0.1671 or 16.71%

e. The probability is 0.9975 or 99.75%

Step-by-step explanation:

a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.

b. Let's use the binomial distribution table, this way:

Binomial distribution (n=10, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

4 0.0384 0.0496

5 0.1059 0.1555

6 0.2029 0.3584

7 0.2668 0.6252

8 0.2301 0.8553

9 0.1176 0.9729

10 0.0271 1.0000

The probability is 0.2029 or 20.29%

c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 0.2029 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

The probability is 0.2029 or 20.29%

d. Let's use the binomial distribution table, this way:

Binomial distribution (n=5, p=0.697)

f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0026 0.0026

1 0.0294 0.0319

2 0.1351 0.1671

3 0.3109 0.4779

4 0.3576 0.8355

5 0.1645 1.0000

P(0) + P(1) + P (2) = 0.0026 + 0.0294 + 0.1351

The probability is 0.1671 or 16.71%

e. Using the same binomial distribution table we used in d. we have:

P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

The probability is 0.9975 or 99.75%

7 0

3 years ago

2. A serving of fish contains 50.0 g protein and 4.0 g fat. If protein has a caloric

solniwko [45]

9514 1404 393

Answer:

236 kcal

Step-by-step explanation:

(50 g protein)(4 kcal/(g protein)) +(4 g fat)(9 kcal/(g fat)) = (200 +36) kcal

= 236 kcal

8 0

2 years ago

Complete the explanation of the procedure that can be used to solve 5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55. Then solve the e

Debora [2.8K]

Answer:

x = 2.

Step-by-step explanation:

5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55

5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55

5[5x + 10] - x - 15 = 14x + 55

25x + 50 - x - 15 = 14x + 55 Now we subtract 14x from both sides:

25x + 50 - x - 15 - 14x = 14x - 14x + 55

10x + 50 - 15 = 55 Now we subtract 50, add 15 to both sides:

10x + 50 - 50 - 15 + 15 = 55 - 50 + 15

10x = 20

x = 2.

8 0

2 years ago

What expressions are equivalent to -2.5 (1 - 2n) - 1.5n?

jok3333 [9.3K]

Answer:

C. -2.5 - 6.5n

Step-by-step explanation:

i just think thats the answer

8 0

3 years ago

Read 2 more answers

Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 4 and perpendicular

Oxana [17]

Answer: X = 3t, Y =2 - t, Z =2

Step-by-step explanation: the plane

x + y + z =4has normal vector

M =<1,1,1> and the line

x = 1 + t, y = 2 − t, z = 2t has direction

v =<1, −1, 2>. So the vector

A= n × v

=<1, 1, 1> × <1, −1, 2>

=<2−(−1),1−2,−1−1>

=<3,−1,−2>

5 0

3 years ago