What is 149/18 in its simplest form

In a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand

mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= $\frac{199C2}{800C2} \\=0.0616$

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

= $\frac{601C2}{800C2} \\=0.5641$

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0

3 years ago

What should I notice in every right triangle?

AURORKA [14]

Answer:

Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).

The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs. When using the Pythagorean Theorem, the hypotenuse or its length is often labeled with a lower case c. The legs (or their lengths) are usually labeled a and b.

Step-by-step explanation:

pls mark as brainliest

4 0

3 years ago

The scatter plot shows the relationship between annual salary and years of experience. What is the range of the cluster shown in

boyakko [2]

Answer:

7 to 12 years

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which point is on the line y = -2x + 3? (-2, -1) (3, 3) (3, -3) (-3, -9)

Gnoma [55]

(-2, -1) so y = -2(-2) + 3 = 7; FALSE
(3, 3) so y = -2(3) + 3 = -3; FALSE
(3, -3) so y = -2(3) + 3 = -3; TRUE
(-3, -9) so y = -2(-3) + 3 = 9; FALSE

answer
(3, -3)

8 0

3 years ago

Determine the form of the following quadratic equation, and identify the values for the key characteristic of the parabola revea

Liono4ka [1.6K]

Answer:

1) The equation is given in factored form

2) The key characteristics of the parabola are;

a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are (1/2, 0) and (-6, 0)

c. The y intercept is (0, -6)

d. The vertex point is (-2.75, -21.125)

Step-by-step explanation:

The given equation is f(x) = (2·x -1)(x + 6)

Therefore the equation is given in factored form

The key characteristic of the parabola revealed from the form f(x) = (2·x -1)(x + 6) are;

1) Writing the parabola in the intercept form, a(x - p)(x -q) we have;

f(x) = (2·x -1)(x + 6) = 2·(x - 1/2)(x + 6)

p = 1/2, q = -6

Therefore;

Given that a is positive the parabola is concave upwards

2) a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are p and q which are (1/2, 0) and (-6, 0)

c. The y intercept is a·(-p)·(-q) = 2×(-1/2)×6 = -6

The y intercept is (0, -6)

d. Expanding we get;

f(x) = 2·x² + 11·x - 6

From the

The vertex is h = -b/(2·a) = -11/(2×2) = -2.75

h(2.75) = 2×(-2.75)² + 11×(-2.75) - 6 = -21.125

Therefore, the function is symmetrical about the vertex point (-2.75, -21.125)

7 0

4 years ago