x=-15/2 , 4
I'm sorry if I'm wrong
For a sales promotion, the manufacturer places winning symbols under the caps of 23% of all its soda bottles. If you buy a six-pack of soda, what is the probability that you win something?
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:
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10 Lakh More Than 93,23,654
Answer:
10,323,654
Step-by-step explanation:
plsss help 6th grade math
Answer: D
Step-by-step explanation:
If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.
Veronica's family is getting ready for
a huge go-kart race. They only brought
15 gallons of gasoline, though. If each
cart needs 2 and 1/3 gallons of gas, how many
go-karts can be filled for the race?
Answer:
6.5
Step-by-step explanation:
15gallons ÷ 2.3 gallons per car = 6.5 cars so filled would be 6
Read the following statement: Line segment MN is congruent to line segment OP.
Which of the following is an equivalent statement?
a
MN overbar is similar to OP overbar
b
MN overbar equals OP overbar
c
MN overbar is congruent to OP overbar
d
MN overbar is an element of OP overbar
Answer:c
Step-by-step explanation:
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
Store C
Step-by-step explanation:
$7.56÷7=$1.08 a candy bar
An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1
Answer:
63%
Step-by-step explanation:
37% did not solve problem 2
100% - 37% = 63%
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What is the equation of g in terms of f?
Answer:
g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].
Step-by-step explanation:
I'm not to sure but I hope this helps
a transformation of a rectangle ABCD results in rectangle ABCD whch transformation maps the pre-image to the image
Answer:
dilation
Step-by-step explanation:
did it on edge 2020
Pls make me brainliest much appreciated
f(x) =2x+8 when x=-2, x=0, and x=5.
Answer:
f(-2)=4, f(0)=8, f(5)=18
Step-by-step explanation:
f(x)=2x+8
f(-2)=2(-2)+8
f(-2)=-4+8
f(-2)=4
f(0)=2(0)+8
f(0)=0+8
f(0)=8
f(5)=2(5)+8
f(5)=10+8
f(5)=18
Bill makes $30.00 per day. He makes twice as much as hack makes before jacks salary was doubled. How much does jack make now?
Answer:
$30.00
Step-by-step explanation:
Jack's original salary before it was doubled was $15.00 per day.
Let's assume Jack's original salary is "x" dollars per day.
According to the given information, Bill makes $30.00 per day, which is twice as much as Jack made before his salary was doubled. So, before Jack's salary was doubled, he made "x" dollars per day.
After Jack's salary was doubled, he makes 2 * x = 2x dollars per day.
Now, we know that Bill makes $30.00 per day, which is equivalent to the new salary of Jack after it was doubled.
So, we can set up an equation:
2x = $30.00
To find the value of "x," we can divide both sides by 2:
x = $30.00 / 2
x = $15.00
Therefore, Jack's original salary before it was doubled was $15.00 per day.
To know more about Multiplication here:
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Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?
Answer:
15.29 i think
Step-by-step explanation:
I need help solving these!!!!
Answer:
4. y = -1/2x + 5
5. y = -1/3x + 3
6. y = 1
Step-by-step explanation:
For #4:
Because these lines are parallel, we know that they will have the same slope.
To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/
For #5:
These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.
The reciprocal of 3 is -1/3.
To get the y-intercept, I did the same as above.
For #6:
x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.
That means that our answer is y = ?
We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.
So, y = 1.
I hope this helps!
PLEASE HELP ASAP
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
10) m: 6
b: 5
y= 6x +5
12) m: -2
b: -1
y= -2x-1
14) m: 1
b: 0
y= x
Step-by-step explanation:
The slope-intercept form is the form y=mx+b
m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.
Remember the slope is "rise over run", so, the difference in y over the difference in x.
b is the y-intercept. You can find it by looking at where the line crosses the y-axis.
Hope this helps you out!
help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.
Answer:
$1400x + $150
Step-by-step explanation:
Let the total cost of rent used for a month be $1400 plus a $150 application fee.
This means that;
Total cost (1 month) = $1400(1) + $150 = $1550
TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.
The cost of rent for x month = 1400x * $150
The cost of rent for x month = $1400x + $150 (application fee are paid only once)
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help
Answer:
y = -9/8x+7
Step-by-step explanation:
First Find The Slope: 7--2/0-8=-9/8
Find Y Intercept=7
Than Write Equation: y=-9/8x+7
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
Answer:
Answer is C
Step-by-step explanation:
There is not enough samples.
Answer:
Yes, the variation of the sample means is small.
Step-by-step explanation:
The sum of two numbers is 38. The smaller number is 22 less than the larger number. What are the numbers?
Answer:
30 and 8
Step-by-step explanation:
30 - 8 = 22
i need more help i'm so bad at this subject z/4 - 1/2 = 9? pls steps and test
answer: x=38
Step-by-step explanation:
hope I help you
A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
y = 3x. How do you graph it???
Answer:
If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!
Answer:
(0, 0) and (1, 3)
happy to help!
Find the unit price for 9 colored pencils for $56
Answer:
6 2/9
Step-by-step explanation:
56/9
helppp pls 20 points !!
evaluate the following question 109*104
Answer: Exact Form:
109^104
Decimal Form:
7.8046923 x 10^211
Step-by-step explanation:
Answer:
11336
Step-by-step explanation:
109*104= 11336
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Select the correct answer.
Select the place of the digit 9 in this number.
269,478
ten thousands
hundreds
one thousands
ones
hundred thousands
tens
Helpppppp pleaseeeee
Save me from this questionnnnn
Solve for the roots: x3-2x2+3x-6
Answer:
x = 2, i[tex]\sqrt[]{3}[/tex], -i [tex]\sqrt{3}[/tex]
x^3 - 2x^2+ 3x - 6 = 0
Hint: Solve by grouping.
Convert 1100111 from binary to hexadecimal
Answer:
67
Step-by-step explanation:
Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?
Answer:
3°F
Step-by-step explanation:
36 divided by 12 is 3
Answer:
3 degrees F
Step-by-step explanation:
36/12 = 3
How do you evaluate 7!
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.