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Natalija [7]
3 years ago
15

Evaluate f(x)= -6+12 when x= -3,x=0, and x=1.

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Given :

A function, f(x) = -6 + 12

To Find :

The value of f(x) when x= -3, x= 0 and x=1.

Solution :

Given function is f(x) = -6 + 12 .

Simplifying above function, we get :

f(x) = 6

Now, the given function is independent of x.

So, for any value of x the the value of functions remains constant.

Hence, this is the required solution.

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A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position
Delicious77 [7]

Answer:

-525 feet

Step-by-step explanation:

If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.

to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)

so you can make out this equation: -800 + 275

this would equal: -525

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3 years ago
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
How should you write the proportion 9:36 = 10:40 using words?
JulijaS [17]
A, because you follow the numbers and just put "is to" and "as" in the middle. 

8 0
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