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Schach [20]
4 years ago
13

# 5 please I need an answer as fast as possible

Mathematics
1 answer:
KatRina [158]4 years ago
7 0
The answer is number 2


Since it has a negative exponent, the equation  is showing exponential decay.  The graph will decrease.  In order to find the percent of change, we need to review our exponent properties.  The product property tells us that when we raise a power to a power, we multiply the exponents.  This means we can view our exponent of -2x as the product of two exponents, -2 and x.  This would look like.  We know that negative number exponents tell us to "flip" sides of the fraction, so that tells us that 4⁻² = 1/4² = 1/16.  We can then rewrite our equation as
Exponential decay is in the form y = a(1-b)ˣ.  From our equation, a = 1.  We know that 1-b = 1/16; this means that b must be 15/16.  Thus our percent of decrease would be 15/16 = 0.9375 = 93.75%.
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Fofino [41]

Answer:

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3 0
3 years ago
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial  probability distribution because:

  • In the question it is given that the sprinklers activate correctly or not independently.
  • The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an  repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

b = binomial probability  also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

C_{n,x} is calculated as:

C_{n,x} = n! / x!(n – x)!

        = 10!  / 10!(10-10)!

        = 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

           = C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

           =  1 * 0.0282 * (0.3) ⁰

           = 1 * 0.0282 * 1

  P(X=x)        = 0.0282

5 0
3 years ago
Compute the following linear combinations. 4(-2,3)-2(6,-7) ...?
Anika [276]
4(-2 , 3) - 2(6 , -7)
(-8  , 12) + (-12 , 14)
Combining the x and y terms:
= (-20 , 26)
8 0
4 years ago
Read 2 more answers
If a line is parallel to the y axis and goes through the point (2,3) what would the equation of the line be
r-ruslan [8.4K]
The equation is

X = 2

because if it's parallel to the y axis, it goes straight through one single X co-ordinate.
4 0
3 years ago
Please help me with this ,
blagie [28]

Answer:

  (a) -2.3°/min

  (b) -2.9°/min

Step-by-step explanation:

The average rate of change is the ratio of the difference in R values to the difference in the corresponding t values.

(a) m = (157.6 -226.6)/(30 -0) = -69/30 = -2.3 . . . degrees per minute

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(b) m = (61.6 -119.6)/(70 -50) = -58/20 = -2.9 . . . degrees per minute

3 0
3 years ago
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