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sveticcg [70]
3 years ago
14

The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo

ught, then the probability, to the nearest thousandth, that 7 devices function properly is
A. 0.057
B. 0.478
C. 0.001
D. 0
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

Correct option: A. P=0.057

Step-by-step explanation:

<u>Binomial Distribution</u>

The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.

The PMF (Probability Mass Function) of the binomial distribution is

\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}

Where q = 1-p

The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}

\boxed{P=0.057}

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If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

7 0
3 years ago
How many terms are in the polynomial abcd + e-n2?<br>two<br>three<br>five<br>six​
ELEN [110]

Answer: There are 3 terms

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3 0
3 years ago
can put $11 of his allowance and in his savings account every week call how much money will he have after 15 weeks
dlinn [17]
11 x 15 = 165. he would have 165$
7 0
3 years ago
Read 2 more answers
Create an equivalent system of these equations and test your solution <br> x + y = 1<br> x 3y =9
ad-work [718]
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides


assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent



ok, solve initial

x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation


-x-y=-1
<u>x-3y=9 +</u>
0x-4y=8

-4y=8
divide both sides by -4
y=-2

sub back
x+y=1
x-2=1
add 2
x=3


x=3
y=-2
(3,-2)

if we test it in other one

2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep

2x-6y=18
2(3)-6(-2)=18
6+12=18
18=18
yep


solution is (3,-2)
4 0
3 years ago
Read 2 more answers
After polling a class of 24 students by a show of hands, you find that 9 students play soccer and 21 students play basketball. g
MArishka [77]
The answer is 6 because 21+9=30 and 30-6=24 and 24 is the number of students in the class.
7 0
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