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Alex17521 [72]
2 years ago
13

Please answer ASAP, thanks!​

Mathematics
1 answer:
zlopas [31]2 years ago
3 0

Answer:

4

Step-by-step explanation:

f(4) refers to when x = 4

Since 4, therefore f(4)=4

Hope this helps :)

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3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

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

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

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

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
7. A triangle has an area of 20 in². If the height of the
GenaCL600 [577]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

baseline × 5 / 2 = 20 in²

baseline × 5 = 40

baseline = 8 in

7 0
2 years ago
Show that every positive integer is of the form 2q and that every odd integer is of the
irinina [24]
IF n is a positive integer THEN  n mod 2=0
IF n is an odd integer THEN n mod 2=1
SO you can draw that conclusion.
You are welcome.
6 0
3 years ago
What does the c represent in f(x)= ax^2+bx+c
julsineya [31]

In that statement of a function,  'a',  'b', and  'c'  all represent
plain old ordinary constant numbers.


4 0
3 years ago
Read 2 more answers
Factor: d2 + 16dm + 64m2
lutik1710 [3]

Answer:

(d + 8m)^2

Step-by-step explanation:

d^2 + 16dm + 64 m^2  = (d + 8m)^2

3 0
3 years ago
Read 2 more answers
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