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Morgarella [4.7K]
3 years ago
8

Let f(x)=81+3e−0.7x .

Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0
9.25
this is your answer
KiRa [710]3 years ago
5 0

Answer:

f(-3)=91.25

Step-by-step explanation:

Given :f(x)=81+3e−0.7x

To Find: Value of f(−3)

Solution:

f(x)=81+3e−0.7x

Putting x = -3

f(-3)=81+3e−0.7*(-3)

f(-3)=81+3e+2.1

f(-3)=83.1+3e

Since the defined value of e = 2.718

⇒f(-3)=83.1+3*(2.718)

⇒f(-3)=83.1+8.154

⇒f(-3)=91.25

Thus the value of f(-3)=91.25

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The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the
vladimir1956 [14]

Answer:

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that 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.

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

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that p = 0.4

Eight traffic fatalities

This means that n = 8

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

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

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

3 0
3 years ago
What is the domain? {-2,3); (1,4); (2,4); (0,0)}
ra1l [238]

Answer:

-2,1,2,0

Step-by-step explanation:

0 your choice to right,still right it to be safe, domain is all x values

8 0
3 years ago
The variance of any standard normal distribution is________.<br> a) 0.5.b) -0.5.c) 0.d) 1.
goblinko [34]

Answer:

d) 1

Step-by-step explanation:

The variance of standard normal distribution is simply put as 1.

If you take it a bit further, even though not asked, the mean of a standard normal distribution is 0.

Therefore, the conclusion is that, the variance of a standard normal distribution is 1, while the mean of the same standard normal distribution is 0

3 0
3 years ago
Help ASAP! I will give brainliest
Neko [114]

Answer: A)1/2

Step-by-step explanation: m = y2-y1/x2-x1

I will use the values (1,2) and (3,3) from the table

1=x1, 2=y1, 3=x2, 3=y2

m = 3-2/3-1

m=1/2

7 0
3 years ago
Which answer is correct?? PLEASE HELP!!!!
eduard
{y=-3x+8
{y=-5x-2

-3x+8 = -5x-2
-3x+5x = -2 - 8
2x = -10
x = -5

y=-3x+8
y= -3*(-5) + 8
у = 15+8 = 23

Answer: (-5, 23)
7 0
3 years ago
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