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user100 [1]
4 years ago
14

Evaluate 1.C4 and P4.

Mathematics
1 answer:
butalik [34]4 years ago
5 0

Answer:

i want to help but i dont get this question

Step-by-step explanation:

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At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is
Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use 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.

81% of students own a wireless device.

This means that p = 0.81

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

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

P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487

34.87% probability that all 5 have a wireless device

5 0
3 years ago
F(x)=4x^2 and g(x)=-8x^2+4x-4, find (f+g)(x) and (f+g)(-3)
kondaur [170]

Answer:

f(x)=4x^2 and g(x)=-8x^2 + 4x - 4

(f+g)(x) =  -8x^2 + 4x - 4 + 4x^2 = -4x^2 + 4x - 4 = -4(x^2 -x + 1)

(f+g)(-3) = -4( -3^2 -(-3) + 1) = -4 x 13 = -52

Hope this helps!

:)

6 0
3 years ago
At noon, the high temperature was 54 degrees. During the course of the day, the temperature increased 8 degrees, decreased 3 deg
pychu [463]

Answer:

61

Step-by-step explanation:

Let's write out what we know:

Noon temp: 54

Over the day, the temperature:

increased 8, decreased 3, increased 14, decreased 2, and decreased 10.

54+8-3+14-2-10 = 61

7 0
3 years ago
match the numbers with the correct label. i will MARK YOU BRAINLIEST if your right, only answer if you know what your doing!!! :
bija089 [108]

Answer:

a = 1/7, b = 0.2, c = 3/9

Step-by-step explanation:

0.2=\frac{2}{10} = \frac{1}{5}

\frac{1}{7}

\frac{3}{9}=\frac{1}{3}

\frac{1}{5} > \frac{1}{7} placing it farther along the number line, making 0.2 the red label (b)

\frac{1}{7} is the smallest fraction that you are given, so it will be closest to 0, making it the blue label (a)

\frac{1}{3} > \frac{1}{4} so \frac{3}{9} is the green label (c)

7 0
3 years ago
What is the slope of a line on a standard xy-plane that passes through the point (1,3) and (4,-3)
nexus9112 [7]

Answer:

Slope(m) = -2

Step-by-step explanation:

The line passes through (1,3) and (4,-3)

Slope(m) = change in y ÷ change in x

m = \frac{-3 - 3}{4 - 1} = \frac{-6}{3} = -2

8 0
4 years ago
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