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tigry1 [53]
3 years ago
7

Solve the inequality. 2(4+2x)>5x+5 oxs-2 O X2-2 xs3 x23

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

For this case we must resolve the following inequality:

2 (4 + 2x)> 5x + 5

Applying distributive property on the left side of inequality we have:

8 + 4x> 5x + 5

Subtracting 5 from both sides of the inequality:

8-5 + 4x> 5x\\3 + 4x> 5x

Subtracting 4x from both sides of the inequality:

3> 5x-4x\\3> x

Thus, the result is x

Answer:

x

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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi
Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
L. The width, w, of the rectangle is 10 inches. What is the perimeter of the rectangle?
trasher [3.6K]
40 inches because a rectangle has 2 sets of parallel lines and if the width and length are 10 then you just have to add up all the sides.
8 0
3 years ago
Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient o
Nitella [24]

Answer:

no te entiendo

yo también la busco

8 0
2 years ago
Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 202020 meters below the edge
aleksklad [387]

Answer:

f(x) = -4x + 20   

Refer attachment for graph.

Step-by-step explanation:

Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.

We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).

Let he takes x seconds to get out of the volcano.

and y be the distance covered by the volcano to reach Zane.

Then, to reach the edge of volcano,  

Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by

f(x) = -4x + 20     

At x = 0 the Zane will be at f(0) = 20 that is 20 meter below the volcano.

Thus points are (0,20)

and when x = 5 Zane will be escaped from volcano.

Thus points are (5,0)

Plot this and obtained the graph for the given equation as attached below.

 

6 0
3 years ago
Read 2 more answers
Let a = -4.82 and b = 4.35. All of the following statements are true except
kolezko [41]

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

6 0
3 years ago
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