Answer:
.
Step-by-step explanation:
If two equations
and
has infinitely many solutions, then
The given equations are
It is given that the above system of equations has infinitely many solutions. So,
Now,
and
and
and
So, a=1.5 and b=2.
Now,
Therefore,
.
Using the binomial distribution, there is a 0.3474 = 34.74% probability of getting one wrong number.
<h3>What is the binomial distribution formula?</h3>
The formula is:


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 given by:
p = 0.15, n = 10.
The probability of getting one wrong number is P(X = 1), hence:

P(X = 1) = C(10,1) x (0.15)¹ x (0.85)^9 = 0.3474
0.3474 = 34.74% probability of getting one wrong number.
More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
Answer:
A. y = x² - 9x + 18
Step-by-step explanation:
The key thing to look for in this graph is the <u>y-intercept</u> (where the graph will hit the y-axis).
We can't see exactly where y-intercept is, but we know it is a positive number.
In a standard form quadratic equation:
<em>y = ax² + bx + <u>c</u></em>
'<em>c</em>' tells you what the y-intercept is.
The choices with positive y-intercept are <u>A</u> and <u>B</u>.
Again, we can't see exactly where y-intercept is, but we know it is not 1.
y = x² - 9x + 18
has a positive y-intercept that is not 1,
thus the answer is A.
We are given
Number of person took cards =3
Average number of cards taken = 11 per person
so, we can find total number of cards
Total number of cards= (average number of cards)*(number of persons)
Total number of cards is


Fernando took 10
so,
Fernando card +other two cards =33
10 +other two cards =33
Other two cards =23..............Answer
Answer:
32 degrees celsius
Step-by-step explanation:
To find the difference between two numbers, take the end point and subtract the start point from it.
End point = 42 degrees
Start point = 10 degrees
42 - 10 = 32 degree difference