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Elan Coil [88]
3 years ago
11

Solve the following inequality: 4y<36

Mathematics
1 answer:
kap26 [50]3 years ago
4 0

Answer:

{y< 9}

Step-by-step explanation:

4y < 36

Can be simplified by dividing 4 on both sides

4y<36

÷4. ÷4

y<9

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Find the value of x.
grandymaker [24]
I think X is 2. But I am not sure, cuz I don’t know what you teacher is really asking you to do.

8 0
2 years ago
Solve for x in the equation x 2 - 4 x - 9 = 29.
Marizza181 [45]

Answer:

x= -19

Step-by-step explanation:

2x-4x-9=29

-2x=29+9

x=38/-2

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5 0
3 years ago
Read 2 more answers
For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
2 years ago
20 POINTS!!!!
vladimir2022 [97]

Answer: 38 cm

Step-by-step explanation:

8 0
3 years ago
A rectangular tank with a square​ base, an open​ top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
Vlad [161]

Answer:

  26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

  2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

  x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

  2x -35152/x^2 = 0

  x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

  x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0
3 years ago
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