Help me to solve all of this questions

What is the probability that at least 50% of the candies will be?

timama [110]

Complement of an event A^cRefers to the event "not A"Conditional probabilityThe probability that one event happens given that another event is already known to have happened.EventAny collection of outcomes from some chance process.General addition ruleIf A and B are any two events resulting from some chance process, then the probability that event A or event B (or both) occur is P(A) + P(B) - P(A ∩ B) .General multiplication ruleThe probability that events A and B both occur can be found using the formula P(A ∩ B) = P(A) ∙ P(B | A)Independent eventsOccurrence of one event has no effect on the chance the other event will happen. In other words, if P(A | B) = P(A).IntersectionDenoted by A ∩ B, refers to the situation when both events occur at the same time.Law of Large NumbersIf we observe more and more repetitions of any chance process, the proportion of times that a specific outcome occurs approaches a single value, which we call the probability of that outcome.Mutually exclusive (disjoint)Two events have no outcomes in common and so can never occur together.ProbabilityA number between 0 and 1 that describes the proportion of times the outcome would occur in a very long series of repetitions.Probability modelA description of some chance process that consists of two parts: a sample space S and a probability for each outcome.Sample space SThe set of all possible outcomes of a chance process.SimulationThe imitation of chance behavior, based on a model that accurately reflects the situation.Tree diagramUsed to display the sample space for a chance process that involves a sequence of outcomes.Union<span>Denoted by A ∪ B, consists of all outcomes in A, or B, or both.</span>

6 0

4 years ago

I need help finding the inverse of this problem

fomenos

$y=\sqrt{x-1}+6$

(Notice that we always have $y\ge6[tex].)Swap [tex]x$ and $y$ , then solve for $y$ :

$x=\sqrt{y-1}+6$

$x-6=\sqrt{y-1}$

$(x-6)^2=(\sqrt{y-1})^2$

$(x-6)^2=y-1$

$y=(x-6)^2+1$ (this is the inverse)

###

This inverse is valid only for $x\ge6$ . Why?

Suppose we take $x=0$ . Then

$y=(0-6)^2+1=37$

This would suggest that in the original equation, we should get $x=37$ when $y=0$ . But when we check this, we end up with

$0=\sqrt{37-1}+6=\sqrt{36}+6=6+6=12$

which is clearly not true.

6 0

3 years ago

A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number

xxTIMURxx [149]

There are 12 white ribbons, 15 red ribbons, and 11 blue ribbons.

38=(w-1)+(w+3)+w
combine like terms
38=2+3w
subtract 2 from both sides
36=3w
divide 3 on both sides
12=w

w-1=b
12-1=b
11=b

w+3=r
12+3=r
15=r

Check Your Work
w+r+b=38
15+11+12=38
38=38

7 0

3 years ago

Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive. Mr. McMillan has already taught his class 8 lette

dybincka [34]

The number of weeks by which the students in both classes will know how to write the same number of letters will be 4 weeks.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive.

Mr. McMillan has already taught his class 8 letters.

The students in Ms. Burke's class, who started the unit later, currently know how to write 12 letters.

Mr. McMillan plans to teach his class 4 new letters per week.

Ms. Burke intends to cover 3 new letters per week.

Eventually, the students in both classes will know how to write the same number of letters.

Then the number of weeks by which the students in both classes will know how to write the same number of letters will be

Let x be the number of the weeks and y be the total number of the letters.

Then the equation will be

y = 4x + 8 …1

y = 3x + 12 …2

Then by solving the equations 1 and 2, we have

x = 4 and y = 24

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

4 0

2 years ago

The function y = (x-3)(2x-6)<br> is presented in? form?

Stels [109]

No solutions- equations never intersect (parallel lines)

Explanation:

First, let's convert our second equation into slope-intercept form

y

=

m

x

+

b

Let's subtract

2

x

from both sides to get

−

y

=

−

2

x

+

2

Next, divide all terms by

−

1

to get

y

=

2

x

−

2

We see that our slope, the coefficient on the

x

term, is

2

. This equation has the same slope as the first.

It is important to realize that when two lines have the same slope, it means they are parallel. This means they never intersect.

Since they never intersect, it means this system has no solution.

Hope this helps!

6 0

4 years ago