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3 years ago

8

PLS HELP WILL GIVE BRAINIEST! You are flying in an airplane that has 2 engines. The engines individually have a success rate of

99%. What is the probability that both engines fail.

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Answer:

.01%*

Step-by-step explanation:

Individually, they both have a rate of failure of 1%.

.01 x .01 = .0001

Therefore they have a combined probability of failure of .01%

*Disclaimer!!

I am not the best at this area in math so I would still reference against someone else's answer, but this is my best effort :)

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How to find the y-intercept from a table AND from a graph.

ExtremeBDS [4]

Answer:

When Finding the Y-Intercept from a Graph and Table, you are searching for the point of intersection between the equation and the y-axis. When finding the Y-Intercept from a Graph, you should find where the line from the equation crosses the y-axis. The point where the equation crosses the y-axis is the Y-Intercept.

Step-by-step explanation:

6 0

3 years ago

A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north.

GarryVolchara [31]

Answer: The sailboat is at a distance of 15 km from the port.

Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

Thus, the sailboat is at a distance of 15 km from the port.

3 0

3 years ago

If y varies directly with x, find the missing value below.<br><br> (2, -34) and (x, 85)

DedPeter [7]

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

8 0

3 years ago

Simplify the following expression. (19x + 4y) + (49x + 32y)

Valentin [98]

Answer:

68x + 36y

General Formulas and Concepts:

Order of Operations: BPEMDAS
Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

Combine like terms (x): 68x + 4y + 32y
Combine like terms (y): 68x + 36y

4 0

3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago