The probability that the guest chooses one of each type of soda will be 8.03%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.
A party guest randomly chooses four cans of soda.
Then the probability that the guest chooses one of each type of soda will be
Let the total number of the soda can will be 100. Then we have
Ambrase = 20
Butonic = 30
Colana = 15
Dynamite = 35
[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]
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what's the difference between dy/dx and d/dx?
Answer:
There is a slight difference but the result is the same.
In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.
In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.
Both notations mean ‘the function which is the differential of function y by x
Joe's Fabric Store purchased 6 bolts of fabric at $150.00 per bolt. Each bolt contained 50 m of fabric. If the fabric was retailed at $8.00 per metre, calculate the profit or loss.
Kyle is considering a 7/1 ARM. What does 7 represent?
Answer:
The number of years the fixed interest rate will be applied to the loan
Step-by-step explanation:
I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)
Good evening every one sorry to brother u but can someone answer this
3 - 3 / 1/3 + 1
Thank u very much
Answer:
-5
Step-by-step explanation:
3 - 9 + 1 = -6 + 1 = -5
Hope this helped! I would appreciate a Brainliest!
(BTW, if you can, can you please answer my question? It's due today!)
None shall sleep ellie marney theme
Answer:
“teenager protagonists confronting horror”
Step-by-step explanation:
Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.
Answer:
I love sleep
Step-by-step explanation:
Help me with this question please
An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are F and C.
What is an associate?An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:
Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.
Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.
Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.
Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.
The points that are true about the given scatter plot are:
F.) A cluster appears to be at the bottom left corner.
C.) There appears to be a positive association.
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Deshawn earned $48 raking leaves last October. He decided to save 3/8 of his money. How much money did Deshawn save?
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Todd bought g boxes of granola bars. There are 12 granola bars in each box. Write an expression that shows how many granola bars Todd bought.
The expression that shows the granola bars Todd bought is 12g.
What is an algebraic expression?The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Given: Todd bought g boxes of granola bars.
There are 12 granola bars in each box.
Let g be the boxes of granola bars.
Therefore, the expression that shows the granola bars Todd bought is 12g.
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For the function, f(x) = 4x² − 7x + 13, find the value of f(-2).
43
29
15
4
Answer: 43
Step-by-step explanation: subsitute -2 into x
4(-2)^2 - 7(-2) + 13 = 43
How much does Craig earn each month,in dollars?
Answer:
Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20
Step-by-step explanation:
720*20 = 14440
Which of the following measurements could be the side lengths of a right triangle? A. 65 in, 104 in, 130 in B. 78 in, 104 in, 130 in C. 78 in, 104 in, 156 in D. 78 in, 117 in, 130 in
Answer:
B
Step-by-step explanation:
from right angle triangle we know
(greater side)=√one side^2+remaining side^2
130=√78^2+104^2
130=130
hence b is correct
A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 113 people who live in a rural area were selected and 58 identified as a democrat. find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat.
Answer:
[tex]CI=\{-0.2941,-0.0337\}[/tex]
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.
We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:
[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?
The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km
How to form mathematical expressions from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
How to find the speed of an object?
If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.
If the object travelled D distance in T units of time, then that object's speed is
[tex]Speed = \dfrac{D}{T}[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On Monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four-fifth of the way home = [tex]\dfrac{4}{5}\times 5[/tex] from school (as they're coming towards home, so went from school)After a puncture, cyclists walk to homeTo find the Distance of Reeta from school when the cyclist reaches home.Suppose at time 0 hours, all three people departed from school (on that Monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),
then we get:
[tex]S =\dfrac{D}{T}[/tex]
[tex]20=\dfrac{d}{t}[/tex]
d = 20t
This distance is measured from school. But we know that this distance is 4 km, so we get:
20t = 4
t = 1 / 4
The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:
5 = 1 / T
t = 0.2 hours
So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
D = S x T
D = 5 x 0.4 = 2 km
So Reeta was 2 km away from school when cyclists reached home on that Monday.
Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km
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Consider the system of equations. 3x + 2y = 16, x + y = 4 Which numerical values could you multiply the second equation by to eliminate a variable? Select all that apply. 2 -2 03 D-3 34 -4
Answer:
-2 and -3
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
Amazon stock has been rising for the past week. One stock was originally $6.75 , but the price has risen 135%. What is the new price?
Answer:
$15.86
Step-by-step explanation:
What would be the volume of a sphere with a radius of 16 yd
Answer:
v=13117.69 m3
Step-by-step explanation:
Hope this helps.
Answer:
The answer is 803.84
Step-by-step explanation:
Carry on learning i hope this helps..
helppppp ....Simpson Office Furniture pays Sam Hughes a $840 monthly salary plus a 7% commission on merchandise he sells each month. Assume Sam's sales were $18,600 for last month. Calculate the following amounts:
Answer:
$2,142
Step-by-step explanation:
7% of 18,600 is 1,302
Add this to 840 and you get a total of $2,142
Commission is $1,302
Gross pay is $840
WILL MARK BRAINLIEST . PLEASE HELP . Pigeons can fly at a rate of 168ft every 6 minutes, and ravens can fly at a rate of 472ft every 12.5 mins. Which unit rate, per hour, represents the speed of the faster bird?
Answer:
2,265.60 ft/hr
Step-by-step explanation:
168ft/6min = 28ft/min * 60min= 1,680ft/hr
472ft/12.5min= 37.76ft/min * 60min= 2,265.60ft/hr
a punch recipe calls for 1 liter of lemon soda for every 3 liters of fruit juice. If a woman uses 10 liters of fruit juice how many liters of lemon soda does she need
Answer: 3 [tex]\frac{1}{3}[/tex] liters
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{10 \text{ liters of fruit juice}}{x\text{ liters of lemon soda}} =\frac{3 \text{ liters of fruit juice}}{1\text{ liters of lemon soda}}[/tex]
Now we will cross multiply.
10 = 3x
Lastly, we will divide both sides by 3.
3 [tex]\frac{1}{3}[/tex] = x
She will need 3 [tex]\frac{1}{3}[/tex] liters of lemon soda.
6 tractors take 10 days to collect the harvest. How long would it take 10 tractors to do the same work?
Answer:
6 days
Step-by-step explanation:
Relation :
Number of tractors ∝ 1/Number of days6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.
Solving :
10 × 3/52 × 36 daysG(X)
Graph the function.
g(x) 1/2 x 2
See attachment for the graph of g(x) = 1/2x^2
How to graph the function?The equation of the function is:
g(x) = 1/2x^2
The above function is a quadratic function that has only one term
Next, we plot the graph using a graphing tool
See attachment for the graph of g(x)
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Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 10 students per hour, and the average service rate is 20 students per hour. A student has just entered the system. How long is she expected to stay in the system (in minutes)?
The amount of time that she is expected to stay in the system is; 7.5 Minutes
How to find the average of Exponential Functions?We are given;
The average number of arrivals of customers, λ = 12 students/hour.
The average service rate of a single server; μ = 20 students/hour.
The average of an exponential distribution is given by the formula:
E(X) = 1/μ
However, the amount of time that she is expected to stay in the system is;
t = 1/(μ - λ)
t = 1/(20 - 12)
t = 0.125 hours
Converting to minutes gives;
t = 0.125 * 60
t = 7.5 minutes
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What multiplies to 14 and adds to 15
14 and 15
to find:which number multiplies to 14 and add up to 15.
solution:[tex]1 + 14 = 15[/tex]
[tex]1 \times 14 = 14[/tex]
[tex] = 1[/tex]
therefore, the number which multiplies to 14 and add up to 15 is 1
= 1
because,
14×1 = 14
14+1= 15
50 points Select the correct answer
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answer:The answer is A: b^4/a
Step-by-step explanation:now i dont rly have an explaination but i got this in my test so ik its right!
100% verrified!
Are the ratios 4:8 and 1:2 equivalent?
Answer:
yes
Step-by-step explanation:
yes they are i can see this because, 4/8 is the same as 1/2.
I know this because if you reduce 4/8, you will get 1/2.
theres 2 parts i need a awnser and i need to you to show your work please!!! WILL GIVE BRAINLIST!!!!!!!!!
Answer:
Part 1: See below ↓↓
You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.
Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks
Part 2 (kinda work)
What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft
Step-by-step explanation:
1. Using the minimum, maximum, quartiles and median, sketch two side-by-side box plots to compare the haircut costs between males and females in this student's school.
The information about the mean and median shows that the females have more number of haircuts than the males.
What is a mean?It should be noted that a mean simply means the average of a set of numbers that are given in a data.
In this case, the information about the mean and median shows that the females have more number of haircuts than the males.
This is depicted since the mean of females is 52.53 and the mean of males is 20.13.
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please help!! will mark brainiest to whoever gets it right!!
Answer:
x = 77
Step-by-step explanation:
x and 103 are same- side exterior angles and sum to 180°
x + 103 = 180 ( subtract 77 from both sides )
x = 77
Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described? circle ellipse parabola hyperbola
The equation here can be described to be a circle.
How to solve for the parameterWe have the following equations
x = 5cos(t) - 7, and
y = 5sin(t) + 9
When rearranged we have
x + 7 = 5cos(t),
y - 9 = 5sin(t)
Square both equations
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Sum the equations
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
The equation above is that of a circle. The radius is 5 units. The center is (-7,9)
The formula for the equation of a circle is
(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²
The equation can be described as a circle.
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Answer: cirlce
Step-by-step explanation:
did it