Answer:
Step-by-step explanation:
(2,3)
Graph the function rule
Y= -3/4 x-1
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:
https://brainly.com/question/13609688
The scale factor of the blueprint of a theater stage to the actual theater stage is 1 in/6 ft . The area of the stage on the blueprint is 48in2. What is the area of the actual stage?
A) 1,728 ft2
B) 288 ft2
C)10,368 ft2
D) 864 ft2
Answer:option A 1,728 ft
Step-by-step explanation:
I took the test lol
Please help will mark you Brainliest
Answer:11
Step-by-step explanation:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-5)-(18)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
3 • (x - 5) - 18 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3x - 33 = 3 • (x - 11)
Equation at the end of step
3
:
3 • (x - 11) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x-11 = 0
Add 11 to both sides of the equation :
x = 11
One solution was found :
x = 11
one of my factors if 4 when you pair me with 32 we have a lcm of 32 i am graeter than 4 less that 15
Answer:
8
Step-by-step explanation:
The number that is greater than 4 and less than 15 whose one of its factors is 4 and has an LCM of 32 when paired with 32 is 8
What is number?The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Given that one of my factors if 4 when you pair me with 32 we have a lcm of 32 i am greater than 4 less that 15
The clues are given as;
Factors of 4
Number greater than 4
Number less than 15
Also, the LCM of 8 and 32 is; 32
Hence, The mystery number that has the above properties will be 8
Learn more about numbers;
brainly.com/question/4184435
#SPJ2
What is the y-intercept?
4d + 3 - d + c
NOT MULTIPLE CHOICE!
Answer:
c+3d+3
Step-by-step explanation:
Write 2^40 as an exponent with a base of: 2^2, 2^5, 2^8, 2^10
Answer:
2^40 =
1) (2^2)^20
2) (2^5)^8
3) (2^8)^5
4) (2^10)^4
Step-by-step explanation:
We know this simply because we multiply the exponent inside the parentheses by the exponenent outside the parentheses. Using this, we can simply find the numbers that have a product of 40.
a plane takes off from an airport and travels at a steady speed of 350 miles per hour. which of these graphs best represents the distance the plane is from the airport, y, after traveling for x hours?
Answer:
what do the graphs look like, it would have a slope of 350
Step-by-step explanation:
A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.
Answer:
1, 3, & 5
Step-by-step explanation:
All I did to solve this was look up a picture of the polar coordinate system and then match the lines from the image shown to the ones on the polar circle.
The designer places the images in Options 1,3 and 5 are correct.
We have given that,
A web designer is placing images on a website using polar coordinates along the lines shown in the diagram.
Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
We have to determine equations that represent the lines on which the designer places the images.
What is the polar coordinate?The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.
The grid is split into 12 pieces and so they can be put into fractions with a denominator of either 3 or 6.
If you split the circle into portions that match the denominator, you can find 2/3, 17/6, and -11/3's on the circle.
Therefore options 1,3 and 5 are correct.
To learn more about the polar equation visit:
https://brainly.com/question/9363127
#SPJ2
Shawn waited at the bus stop for 15 min and saw 39 vehicles
go past. He counted a total of 124 wheels and noticed that only
cars and motorcycles went past. How many cars went past Shawn?
Step-by-step explanation:
let no of motorcycles be m and no of cars be c
4c + 2m = 124 --(1)
c + m = 39
c = 39 - m --(2)
sub (2) into (1):
4(39 - m) + 2m = 124
156 - 2m = 124
2m = 32
m = 16
therefore, c = 23
23 cars
Topic: simultaneous eqn + forming algebraic equations
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.
Please answer ASAP!
Answer: y = 3x
Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
What is the slope of this line? Plz
Answer:
-2
Step-by-step explanation:
2y = -4x+8
y = -2x+4
Answer:
so you want to make the equation this Y=mx=b
Step-by-step explanation:
so lets do this!
4x+2y=8
-2y -2y
4x=8-2y
-8 -8
-4x=2y
----------
2 2
-2x=y
slope: -2
Henry bought 3 pies which he plans to share with a group of his
friends. If there is exactly enough to give each member of the group
one-sixth of the pie, how many people are in the group?
Answer:
18 people including him
Step-by-step explanation:
PLEASE HELPPP
The two lines represent the amount of water, overtime, in two tanks that are the same size.
Which container is feeling more quickly? explain how you know
Container _____ Is filling
more quickly because the line is _____ And has a higher _____
WORD BANK:
steeper
C.O.P
A
B
Answer:
Container A is filling more quickly because the line is steeper and has a higher C.O.P
Step-by-step explanation:
Help me with this, anyone.
Answer: y=13, A. f(x)=13
Step-by-step explanation:
Answer:
y=13, A. f(x)=13
Step-by-step explanation:
Dr. Tu must administer emergency medicine to his patient, Mrs. Jones. The
instructions on the medicine state that a 140 pound person must receive exactly 100
milliliters of the medicine, and that patients of different weights should receive a
proportional amount of the medicine. Mrs. Jones weighs only 120 pounds. How
many milliliters of the medicine should Dr. Tu administer to Mrs. Jones?
Brainliest if u give answer first
Thx
Answer:
168
Step-by-step explanation: You would do 140/100 = 1.4 then multiply 120 by 1.4 which is 168.
I NEED HELP ASAP: Bonnie deposits $80.00 into a new savings account.
- The account earns 5.5% simple interest per year.
- No money is added or removed from the savings account for 4
years.
What is the total amount of money in her savings account at the
end of the 4 years?
Answer:
17.60
Step-by-step explanation:
Please see the attachment for the step by step answer
a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days
What is the value of the expression when x = 4 and y = 3?
3x² + 5y
A.27
B.38
C.63
D.159
Answer:
63
Step-by-step explanation:
3x^2+5y
Where X=4,Y=3
So
=3×4×4+5×3
=48+15
=63
So 63 is the answer
Answer:
C.63
Step-by-step explanation:
3x4²+5x3
4² = 16
3x16+5x3
Then
3x16 = 48
5x3 =15
48+15 equals 63
The answer is 63
Have a Good Day!!!!
Tell Me what 37/5 x 19/14 equal
Answer:
10 3/70
Step-by-step explanation:
Answer: 10.06
Step-by-step explanation:
Please help
For a fundraiser at your school, the concession stand at home basketball games sells $4 hot dogs and $2 sodas. If they need to make $200 each game, how many of only hot dogs must they sell? How many of only sodas must they sell? (Hint: find the x and y intercepts of the equation).
Answer:
basically do 4x2 until you get 200, or divide, which is 25
Step-by-step explanation:
so 4x2 is 8
so 200 divided by 8, and with a quick google search that gives you 25
so now you know that you have to multiply 4x2, 25 times, to get 200, or $200
25
-OR-
200/(4x2)=m
i hope this helped!
What is the perimeter of this square?
aaaaaaaaaaaaaa
11 in
Answer:
44 in
Step-by-step explanation:
Perimeter is adding up all the sides together and since we know it is a square that means each side is equal
11 in + 11 in + 11 in + 11 in = 44 in
HELPP ASAP
The equation for line j can be written as y=2x+8 another line k is perpendicular to the line j and passes through the point
(6;-6) choose the equation for line k.
A) y=1/2-3
B) y=-1/2-3
C) y=-2-3
D) y=-3/2+3
Answer:
b
Step-by-step explanation:
make the slope opposite and plug in the points to find b.
A fair dice is rolled.
Work out the probability of getting a number more than 6.
Give your answer in its simplest form.
1
6
It is ?0
Answer:
0
Step-by-step explanation:
Total number: 6
Because the biggest number a dice can have is 6, the answer would be 0/6.
Hope I helped!
There is plot behind Best Buy and Academy
Answer:
What is the question???
Merchant buys shipment of spices for $76.00 and sells for $100.00. If he profits an extra $2.00 for each sack sold, how many sacks did he sell?
Which values, in order, will complete the table
Answer:
A or -1/2, -rad2/2, -rad3/2
Step-by-step explanation:
Right on edge
Answer:
A
Step-by-step explanation:
correct on edge 202222222
The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?
21.80°
23.58°
66.42°
68.20°
Answer:
B. 23.58
Step-by-step explanation:
I got it right
The correct option is an option (b).
Angle of upstream:If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed
Given that [tex]sin\theta=\frac{10}{25}[/tex]
Then the angle [tex]\theta[/tex] will be,
[tex]\theta= sin^{-1}(\frac{10}{25} )\\\theta=23.578[/tex]
The boat would need to be angled by about 23.58° upstream to travel due west.
Learn more about the topic Angle of upstream:
https://brainly.com/question/26287662
A car drives 800 meters in 200 seconds. What is it’s speed?
Answer:
8m/s.
Step-by-step explanation:
This question really depends on the answer because the units matter. Is it miles per second? Kilometers per second? We'll just assume it's meters per second so this question could be answered the easiest.
Meters/seconds=800meters/200seconds=(simplified) 8m/s
