hey i need help!!!!!!​

Answer:

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Step-by-step explanation:

For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Flashlight works correctly if both its batteries have acceptable voltages:

Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

[tex]p = (0.88)^2 = 0.7744[/tex]

10 flashlights.

This means that [tex]n = 10[/tex]

What is the probability that at least 9 of the flashlights function properly?

This is

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which

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

[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]

[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Answer:

x=19

Step-by-step explanation:

2x - 8 = 30

get x by itself by adding 8 to both sides

2x=38

divide by 2

x=19

[tex] \frac{132 }{2?} = 66[/tex]

Answer: The correct answer is (5, 3)

Step-by-step explanation: I got it right on the exam

(5,3) will make a rhombus.

A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.

Let D have coordinate (x,y)

The length of all the sides of the rhombus is equal.

length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]

Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)

CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)

We know BD = CD gives,

[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]

By squaring both sides and solving we get,

3y - x = 4 ----------------------(3)

Since BCD is a right-angled triangle,

[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]  

BC = [tex]\sqrt{10}[/tex]

10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]

8  = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)

solving equation (3) and (4) we get x = 5 and y = 3

TO Learn more about Rhombus visit:

https://brainly.com/question/2456096

#SPJ2

Answer:

Veronica's age now =8 years

Step-by-step explanation:

Veronica's age now = x years

Georgia's age now = 5x  - 7

Veronica age after 6 year = 14

x + 6  = 14

       x  = 14 - 6

       x = 8 years

Answer: 2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Have a great day :)

Answer:

105

Step-by-step explanation:

A straight line is 180 degrees so 180-75=105

Answer:

x= 105 degrees

Step-by-step explanation:

We know that the sum of x and 75 degrees is equal to 180 degrees.

So that means that x= 180-75 or x=105 degrees

Answer:

12

you can chose to belive me or not

The length of the base of a right triangle with an area of 24 square meters and a height of 4 meters is 12 meters.

The correct option is C.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

An area of the right triangle = 24 square meters.

Height = 4 meters.

Then,

An area of the right triangle = 24 square meters.

1/2 x base x height = 24

1/2 x base x 4 = 24

Base = 12 meters.

Therefore, the base is 12 meters.

To learn more about the right-angled triangle;

brainly.com/question/3772264

#SPJ6

Answer:

8.75

Step-by-step explanation:

12f=3.50

30f=3.50/12*30

3.50/12*30= 8.75

8.75 is the amount for 30 folders.

Answer:

49c2

Step-by-step explanation:

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Answer:

$22.50

Step-by-step explanation:

3 weeks = 21 days

21 × 1 + 1.50

21 + 1.50

22.50

Answer:

92000

Step-by-step explanation:

Answer:

92,000

Step-by-step explanation:

1 km=1000 m

So 1 km×92= 92 km

But 1000 m×92= 92,000 m

Answer:

x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Domain of r<3: (-∞,3)

Domain of r>-2: (-2,+∞)

(-∞,3)U(-2,+∞)=(-∞,+∞) = ℝ

Answer:

80

Step-by-step explanation:

[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]

Answer:

get them googel

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just did it on a.pex

Answer:

1.36

2.4

3.-11

4.2

5.-20

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.

Answer:

261?

Step-by-step explanation:

LCD = 261

Equivalent Fractions with the LCD

11/29 = 99/261

7/9 = 203/261

2/3 = 174/261