The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
Read more at; brainly.com/question/24239758
<u>answer (in words)</u>
FALSE. the coordinate pair (5, 2) is not a solution to the equation 
. in order to figure out whether or not the statement is true or false, plug the 
and 
values from the coordinate pair (5, 2) into the given equation, . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.
<em>(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)</em>
<u>answer (algebraic/steps for solving)</u>
first, plug in 5 for in the equation .
- ⇒
then plug in 2 for .
- ⇒
now your equation is . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.
- ⇒
multiply 3 · 2.
- ⇒
add 10 + 6.
- ⇒
16 and 10 are <em>not</em> equal, therefore (5, 2) is not a solution to the equation . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.
i hope this helps! have a great rest of your day <3
Answer:
f(g(x)) = 15x³ - 5
Step-by-step explanation:
how confusingly described.
let me try and summarize what I understood :
f(x) = 3x² - 5
money earned when baking x cookies.
g(x) = sqrt(5x³)
the amount of cookies baked in x hours.
f(g(x)) now calculates how much money she earns when baking for x hours.
it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.
therefore,
f(g(x)) = 3×(sqrt(5x³))² - 5
with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.
let's simplify this a little bit more.
f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5
