Answer:
The probability that you win something is 0.7916.
Step-by-step explanation:
Let X denote the number of soda bottles having winning symbols under the caps.
The proportion of soda bottles having winning symbols under the caps is, p = 0.23.
Six-pack of soda are randomly bought.
Every bottle is independent of the others to have the symbols under the caps.
The random variable X follows a binomial distribution with parameters n = 6 and p = 0.23.
Then the chance of winning something implies that at least 1 of the bottles in the six-pack have the symbol under the caps.
Compute the value of P (X ≥ 1) as follows:
[tex]P(X\geq 1)=1-P(X<1)\\\\=1-P(X=0)\\\\=1-{6\choose 0}(0.23)^{0}(1-0.23)^{6-0}\\\\=1-0.2084224\\\\=0.7915776\\\\\approx 0.7916[/tex]
Thus, the probability that you win something is 0.7916.
The probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
For this case, let we take:
X = the number of bottles out of 6 bottles having winning symbols.
Each bottle have the winning symbol(call it success) or not (call it failure).
Each bottle's result is independent of each other in a random picking (if 23% of the number of bottles manufactured is bigger or equal 6).
Then, we have X pertaining binomial distribution, as:
[tex]X \sim B(n=6, p = 0.23)[/tex]
(since success is a bottle having winning stickers, and as there are only 23% such bottles, so chance of success is 23% = 0.23(in decimal)).
Probability of not winning anything = P(X = 0)
From the probability function of binomial distribution, we get:
[tex]P(X = 0) = \: ^nC_xp^x(1-p)^{n-x} = \: ^6C_0(0.23)^0(1-0.23)^6 \approx 0.2084[/tex]
Thus, we get:
Probability of winning something = 1 - probability of not winning anything.
Probability of winning something ≈ 1- 0.2084 = 0.7916
Thus, the probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.
Learn more about binomial distribution here:
https://brainly.com/question/13609688
x - 2y = - 7:(.3), (-9, )
Answer:
{x,y}={1,−3}
Step-by-step explanation:
help plz!!!! its urgent
2,3
1,1.5
maybe, hope this helps
the expected values of two television sets are predicted as follows.(help a sis out)
Answer:
The graph of g(x) has a lesser y intercept
Step-by-step explanation:
Given
f(x) = 100(-x + 4)
Required
Determine the relationship between f(x) and g(x)
First, we need to get the equation of g(x).
From the question, we have that:
Initial Value = 360
Rate = -90 yearly
[It is negative because the rate shows decrement]
Hence, the equation of g(x) is:
g(x) = Initial Value + Rate * x
Where x represents number of years
g(x) = 360 + (-90 * x)
g(x) = 360 - 90x
g(x) = -90x + 360
Recall that
f(x) = 100(-x + 4)
f(x) = -100x + 400
To solve y intercept, we set x = 0.
f(0) = -100 * 0 + 400 = 0 + 400 = 400
g(0) = -90 * 0 + 360 = 0 + 360 = 360
By comparison, the graph of g(x) has a lesser y intercept
To solve x intercept, we set y = 0
For f(x)
0 = -100x + 400
100x = 400
x = 4
For g(x)
0 = -90x + 360
90x = 360
x = 4
By comparison, they have the same x intercepts.
From the list of given options, option A answers the question.
Which choice represents the expression below as a single exponential
expression?
7^3•7^6
If you are adding them together, the answer would be 7^9
If you are solving the problem, the answer would be 40,353,607
What must be true in order for AABC = AEDC by the SAS Congruence Postulate?
PLEASE HELP <3
Answer:
B
Step-by-step explanation:
In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.
This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
If ∠ + ∠ = 180° and ∠ ≅ ∠, what can you conclude about ∠ and ∠?
Answer:
both ∠=90
Step-by-step explanation:
180/2=90
x+1/x-4 times 5x/x+1
Answer:
Step-by-step explanation:
the ratio of men to women working for a company is 5 to 7. If there are 140 men working for the company, what is the total number of employees?
Answer:
196 women
Step-by-step explanation:
You can do cross multiplication
5/7=140/x
5*7=980
980=5*x
980=5x
196=x
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
There is no tape diagram edit and put it in so I can answer, thank you.
Which line has a slope of 0?
Answer:
y= -5
Step-by-step explanation:
Answer:
y= -5
Step-by-step explanation:
Help I don’t understand this
Answer:
y = 12.5
Step-by-step explanation:
Notice these are similar triangles since they have angles of the same measure (congruent angles), then there must be a proportion among their sides such that:
[tex]\frac{y+5}{5} =\frac{14}{4}[/tex]
therefore by cross-multiplying, we get:
4(y + 5) = 14 * 5
4 y + 20 = 70
4 y = 70 - 20
4 y = 50
y = 12.5
Theo wants to find the surface area and volume of a present he received
Answer:
So whats the question then ????
What’s the answer
5 3/7 - 2 1/5
Answer:3.22
Step-by-step explanation:
Hope this helps
See attachment for math work and answer.
What would be the answee
please help asap question 1 *****
Answer:
(-6, 3)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set for the systems of equations.
help please : (
convert 10.0 cm into in
Answer:
3.93700787 Inch
Step-by-step explanation:
:)
Answer:
3.93701
Step-by-step explanation:
In order to convert cm into inches you divide the cm by 2.54.
James had 568 books to put into 9 boxes. How many books were in each box? Where there any book left that needed another box?
Answer:
63
Step-by-step explanation:
yes when dividing it's a round off number so that means that there's more left over
A panel of 12 jurors needs to be selected from a group of 28 people. How many different compositions for the jury are possible?A. 479,001, 600.B. 18, 564.C. 41, 430, 393, 164, 160,000.D. 86, 493, 225.
Complete Question
A panel of 12 jurors needs to be selected from a group of 30 people. How many different compositions for the jury are possible?
A. 479,001, 600.
B. 18, 564.
C. 41, 430, 393, 164, 160,000.
D. 86, 493, 225.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The number of jurors to be selected is q = 12
The total number of people available n = 30
Generally the number of different compositions for the jury that is possible is mathematically represented as
[tex]N = ^nC_q[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
[tex]N = ^{30}C_{12}[/tex]
=> [tex]N = 86,493,225[/tex]
HELP ME OUT PLEASEEEEEEEEEEEEEEEEE
The awnser is 5/8
hope that helps
Need help asap
Graph f(x) = 3x + 4 and h(x) = f(x) +1
The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.
The given functions are f(x) = 3x + 4 and h(x) = f(x) +1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, h(x)=3x+5
The graph of f(x) = 3x + 4 is as follows:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept: (0, 4)
The coordinate points to plot on the graph are (0, 4) and (1, 7)
The graph of h(x)=3x+5 is as follows:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept: (0, 5)
The coordinate points to plot on the graph are (0, 5) and (1, 8)
The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
In a salad recipe, the ratio of carrots to cucumbers must remain constant. The table below shows some possible combinations of carrots and cucumbers.
Salad Ingredients
Carrots
Cucumbers
3
9
4
12
6
18
7
21
If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
9514 1404 393
Answer:
4
Step-by-step explanation:
The ratio is ...
carrots : cucumbers = 3 : 9 = 1 : 3
The fewest number of vegetables that can be used is 1 carrot and 3 cucumbers, a total of 4 vegetables.
Answer:
4
Step-by-step explanation:
How is making a table of equivalent ratios to find the unit rate similar to finding the unit rate by calculating with fractions? Use a specific example to explain your reasoning.
Using specific examples, the unit rate can be obtained using equivalent ratio tables and fraction thus :
Table of equivalent ratios :
No of workers : ____ 2 ____ 4 ____ 6 ____ 8
Logs of wood cut: __ 4 ____ 8 ____12 ____16
To obtain the unit rate from the table :
Take the ratio of any pair of values ;
16/8 = 2 logs of wood
Hence, the unit rate is 2 logs of wood per worker.
Using the fractions :
2 worker = 4 logs of wood
1 worker = x
Cross multiply
2x = 4
x = 4/2
x = 2 logs of wood.
Hence, the unit rate is 2 logs of wood per worker.
Learn more : https://brainly.com/question/25653997
Fill in the table using this function rule.
y=3x-1
Answer:
Step-by-step explanation:
y= 3(1)-1 --> y=2 (1,2)
y=3(5)-1 --> y=14 (5,14)
y=3(6)-1 --> y=17 (6,17)
y=3(8)-1 --> y=23 (8,23)
Simplify: –6(2x – 5)
–12x – 30
–12x + 30
12x – 30
12x + 30
Answer: -12x + 30
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
-6(2x-5)
-6(2x+5)
-6(2x) + 6(5)
-12x +30
Round to the nearest hundreds place.
There are 324 kids at the County Fair. About how many kids are there?
nearest hundred place : 300
hope this helps
Answer:
300 kids
Step-by-step explanation:
What is the fourth term in a sequence defined by f(n) = 2n?
Answer:
8
Step-by-step explanation:
When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.
What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n. Since n is replaced with 4, we do the same with the sequence.
2(4)
Multiply
8
+87 points and guaranteed brainliest if you get it right :)
If 14x + 6 / 3 = -8 + 4x, what is the value of -3x^2 - 7? TYSM
13,84,85 are the last ones please help
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
Determine the expression
trinomial and i believe its a degree of 4
