A bungee jumper leaps off a cliff 122 meters from the ground. Her cord, when fully stretched, is 72 meters long, and it takes 6 seconds after the jump for it to extend fully. The distance between e jumper and the ground as a function of time can be modeled as a quadratic function. Which equation represents her distance from the ground as a function of time?

Answer:

a. P(x = 5) = 0.24

b. P(x ≥ 6) = 0.43

c. P(x < 4)= 0.14

Step-by-step explanation:

According to the Question,

⇒We use Binomial Probability Formula

[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]

Where, p=0.52 & n=10

a. The probability that the number of U.S. adults who have very little confidence in newspapers is ​exactly​ five . So, (x=5)

Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]

On Solving Above Equation we get,

P(5)=0.2441 ≈ 0.24

b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)

Then,

P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)

P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]

On solving above equation we get,

P(x≥6) =  0.4270 ≈ 0.43

c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)

Then,

P(x < 4)=P(3) + P(2)+P(1)+P(0)

P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]

On solving we get,

P(x < 4)= 0.1410 ≈ 0.14  

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

Learn more about similar triangles here:

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Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

Answer:

A

Step-by-step explanation:

The line is parallel to y axis, so the equation is x = 5

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

Answer:

3/4 mile

Step-by-step explanation:

[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

Answer:

I think C is the relation between the variables.

Answer:

[tex]\displaystyle \theta \approx 36.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ

Opposite Leg = 31

Adjacent Leg = 42

Step 2: Find Angle

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

Answer:

[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Step-by-step explanation:

slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]

solve for b:

[tex]1 = \frac{1}{12}(-4) + b[/tex]

solve parenthesis:

[tex]1 = -\frac{1}{3}+b[/tex]

add [tex]\frac{1}{3}[/tex] to both sides:

[tex]b = \frac{4}{3}[/tex]

final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

The function g(x) = x²/3

Given that graph of the function f(x) = x²,

Since, the graph of f(x) is transformed to form the g(x).

We see that g(x) is passing by (3, 3)

Here, the scale factor is 1/3,

So, we can say that the equation of the function g(x) is g(x) = x²/3

Therefore, the required function is g(x) = x²/3

Learn more about function click;

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Answer:

y = mx + by= mx+ b

Step-by-step explanation:

since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)