we should expect 4 of the next 20 pastries served to be bran muffins.
How to solve the question?
To calculate the expected number of bran muffins out of the next 20 pastries served, we need to first determine the proportion of pastries that are bran muffins out of the total number of pastries observed.
The total number of pastries observed is 10 (1 poppy seed muffin + 3 cinnamon rolls + 2 bran muffins + 2 apple fritters + 2 croissants). Out of these, 2 are bran muffins. Therefore, the proportion of pastries that are bran muffins is 2/10 or 0.2.
To calculate the expected number of bran muffins out of the next 20 pastries served, we simply multiply the proportion of bran muffins by 20.
Expected number of bran muffins = 0.2 x 20 = 4
Therefore, we should expect 4 of the next 20 pastries served to be bran muffins.
It's important to note that this calculation assumes that the proportion of bran muffins served remains the same for the next 20 pastries. If there are any changes in the pastry selection or the proportion of each pastry, the expected number of bran muffins would also change.
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Your complete question is :-poppy seed muffins 1,cinnamon rolls 3,bran muffins 2,apple fritters 2,croissants 2
Considering this data, how many of the next 20 pastries served should you expect to be bran muffins?
g(x) is a linear function that makes a line when you graph it. Some of its points are listed in the table below. If this line was graphed completely, would it ever intersect with the circle pictured ? Describe how you know.
x g(x)
-4 -4
-2 -2
2 2
PLEASE HELP! 30 POINTS!
2. Janelle Monae obtained a $3,500.00 loan at 8.5% for one year. If the
monthly payments were $285.55, what would the interest amount be in the
first payment?
OA. $297.50
OB. $291.67
OC. $24.79
OD. $35.00
Answer:
Okay, let's think through this step-by-step:
• Janelle Monae obtained a $3,500 loan at 8.5% interest for 1 year.
• 8.5% interest for 1 year = 8.5% of $3,500 = $297.50 in interest
• The loan amount ($3,500) plus interest ($297.50) = $3,797.50 total paid back
•Monthly payments = $3,797.50 / 12 months = $285.55
• So the interest amount in the first payment is $297.50 (calculated above as 8.5% of the $3,500 loan amount)
The choices do not match this:
A. $297.50 - This is the correct choice. This is the interest amount paid over the full loan.
B. $291.67 - This is too low. Calculated interest over 1 year at 8.5% is $297.50.
C. $24.79 - This is way too low. The interest amount due is $297.50 per the working.
D. $35.00 - This is also too low and does not make sense based on the loan details provided.
In summary, to find the interest in just the first payment, we calculate:
Interest over full loan ($297.50) / Number of payments (12) = $24.79
So the interest amount in just the first monthly payment is $24.79.
But the total interest paid over the life of the loan (1 year) is $297.50.
Does this help explain the steps and reasoning? Let me know if any part of the working or explanation is unclear. I can also provide additional examples if needed.
Let me know if you have any other questions!
Step-by-step explanation:
The probability that a certain science teacher trips over the cords in her classroom during any independent period of the day is 0.35. On average, how many periods do students need to wait until this science teacher trips over the cords in her classroom?
0.2275
0.35
2.86
3.5
Not enough information to answer this question
Answer:2.86.
Step-by-step explanation:
We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.
Find a quadratic equation which has solutions x=square root of 10and x=-square root of 10. Write the quadratic form in the simplest standard form x^2+bx+c
The quadratic equation in standard form can be written as:
y = x² - 10
How to find the quadratic equation?Remember that for a quadratic equation whose solutions are x₁ and x₂, the quadratic can be written as:
y = (x - x₁)*(x - x₂)
Here the solutions are:
x = √10
x = -√10
Then we can write:
y = (x+ √10)*(x - √10)
Expanding that we will get:
y = x² + √10x - √10x + √10*-√10
y = x² - 10
That is the quadratic.
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Helpppp pls it’s due rnnnn
A function relating these variables is D(x) = 10 + 2x,
D(9) = 28, meaning after 9 hours of snowfall,
What is an independent variable?An independent variable is a variable that is manipulated or controlled by the researcher in an experiment to observe its effect on the dependent variable. It is the variable that is changed deliberately to see how it affects the outcome of the experiment.
The independent variable, x, represents the number of hours since snow began falling,
and the dependent variable is the total amount of snow on Jace's lawn because the amount of snow depends on the number of hours since it began to snow.
A function relating these variables is D(x) = 10 + 2x, where D(x) is the total amount of snow on Jace's lawn in inches after x hours of snowfall.
So, D(9) = 28, meaning after 9 hours of snowfall, Jace will have a total of 28 inches of snow on his lawn.
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how do you do this equation?
hi
First, dont keep the equation this way.
f(x) = 2 (x+2) +4x
f(x) = 2x+4+4x
f (x) = 6x+4
after :
x= 0 f(x) = 4
x= 2 f(x)= 16
x= 10 f(x) = 64
x = 30 f(x) = 94
Use cylindrical coordinates to calculate :
∫∫∫Wx2+y2dVW:x^2+y^2≤25,0≤z≤2
∫∫∫W(x^2+y^2)dV=
Answer:
To solve this problem using cylindrical coordinates, we need to express the integrand and the limits of integration in terms of cylindrical coordinates. In cylindrical coordinates, a point in 3D space is represented by the radius (r), the angle (theta), and the height (z), where:
x = r cos(theta)
y = r sin(theta)
z = z
The volume element in cylindrical coordinates is given by:
dV = r dr dtheta dz
Now we can write the integral as:
∫∫∫W(x^2+y^2)dV = ∫∫∫W(r^2) r dr dtheta dz
The limits of integration are given by:
0 ≤ z ≤ 2 (since the region of integration is between z=0 and z=2)
0 ≤ r ≤ 5 (since the region of integration is within the circle of radius 5 in the xy-plane)
0 ≤ theta ≤ 2π (since the region of integration extends throughout the entire circle in the xy-plane)
Therefore, we can write the integral as:
∫∫∫W(r^2) r dr dtheta dz
= ∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta
Integrating with respect to z first, we get:
∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta
= ∫0^2 ∫0^5 [(r^2) r (2-0)] dr dtheta
= 2 ∫0^5 (r^3) dr ∫0^2 dtheta
= 2 (1/4) (5^4) (2)
= 1250
Therefore, the value of the integral is 1250.
Pls help! Mr Douglass trains a group of student athletes. He wants to know how they are improvising in the number of sit ups they can do. The following dot plots show the number of sit ups each student was able to do last month and this month.
By how much did the mean number of sit ups increase from last month to this month?
5. An African elephant weighed 220 pounds at birth. Over the next 4 years, it grew to weigh
870 pounds.
During the 4 years, what was the average yearly growth rate of the elephant?
(A) 144.5 pounds per year
(B) 197.83 pounds per year
(C) 48.88 pounds per year
(D) 670.25 pounds per year
7.RP.1
The correct answer is an option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.
What is average?The term "average" refers to a measure of central tendency that represents the typical or typical value in a set of data.
What is the growth rate?Growth rate refers to the rate at which a quantity or value increases or decreases over time. It is often expressed as a percentage or a proportion and is used to measure the change in a particular variable relative to its initial value.
According to the given information:
To find the average yearly growth rate of the elephant, we can use the formula for calculating growth rate:
Growth Rate = ((Ending Value - Starting Value) / Number of Years)
In this case, the starting weight of the elephant is 220 pounds and the ending weight is 870.25 pounds. The number of years is 4.5 (since the growth occurred over 4.5 years).
Plugging these values into the formula, we get:
Growth Rate = ((870.25 - 220) / 4.5)
Simplifying the numerator, we get:
Growth Rate = 650.25 / 4.5
Dividing, we get:
Growth Rate ≈ 144.50 pounds per year
So, the correct answer is option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.
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Please help! Show all your work. 25 pts!
Answer:
[tex] \frac{468}{14.4} = \frac{d}{16.8} [/tex]
[tex]32.5 = \frac{d}{16.8} [/tex]
[tex]d = 546[/tex]
Wyatt can drive 546 miles on a full tank (16.8 gallons) of gas.
12,110 members is what percent of 21,625 members? Please show work
Answer:
56
Step-by-step explanation:
12110 × 100
21625
=1211000
21625
=56
Is this statement true or false ?
Answer:
False
Step-by-step explanation:
The formula for the area of a circle is A = pi • r^2
Answer: False
Step-by-step explanation: A = [tex]\pi[/tex] [tex]r^{2}[/tex]
The ratio of the weight of an object on earth to the weight of the same object on planet X is a 5 to 12 if an elephant weighs 3800 pounds on earth find the elephant weight on planet X ?
We can set up a proportion using the given ratio:
Weight on Earth : Weight on Planet X = 5 : 12
Let's let x be the weight of the elephant on Planet X. We can substitute the given weight on Earth to solve for x:
3800 : x = 5 : 12
We can cross-multiply to get:
3800 * 12 = 5 * x
Simplifying the right side, we get:
45600 = x * 5
Dividing both sides by 5, we get:
x = 9120
Therefore, the weight of the elephant on Planet X is 9120 pounds.
- Xavier earns a 15% commission on each
washing machine he sells. Last week he sold
four $450 machines. How much did he earn?
Based on the question, Xavier earned a commission of $270 on the last week.
What is the commission?Commissions is known to be a form of variable-pay remuneration that is said to be made for services given or products sold.
Note that from the question, Xavier earns a 15% commission on all washing machine he sells, so he sold four $450 machines last week.
So, the he total sale of the four machines is:
4 x $450 = $1,800
Since Xavier's commission is 15% of $1,800, it will be calculated as :
Commission = 15% x $1,800
= 0.15 x $1,800
= $270
Hence, Xavier earned a commission of $270 last week.
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Let u = <-9, 2> Find -5u.
Answer:
To find -5u, we simply need to multiply each component of u by -5:
-5u = -5<-9, 2> = <(-5)(-9), (-5)(2)> = <45, -10>
Therefore, -5u is equal to the vector <45, -10>.
Working together, Mike and Stephanie can wash a car in 8.24 minutes. Had she done it alone it would have taken Stephanie 17 minutes. How long would it take Mike to do it alone?
It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.
We have,
Let's start by assigning variables to unknown quantities.
Let m be the time it takes for Mike to wash the car alone (in minutes).
We know that Stephanie takes 17 minutes to wash the car alone, so her rate of work is 1/17 car per minute.
Working together, their combined rate of work is 1/8.24 car per minute.
Using the formula:
(rate of work) = (amount of work) / (time)
we can set up the following equation to represent the work they do together:
1/8.24 = (1 car) / t
where t is the time it takes them to wash the car together.
We can also set up a similar equation for Stephanie's work alone:
1/17 = (1 car) / (t + x)
where x is the extra time it takes Mike to wash the car alone.
Since they are working on the same car, the amount of work done in both cases is the same, so we can set the two equations equal to each other and solve for x:
1/8.24 = 1/(t + x) + 1/17
Multiplying both sides by the least common multiple of the denominators (8.2417(t+x)).
17*(t+x) + 8.24*(t+x) = 8.24*17
Simplifying.
25.24t + 17x = 139.68
We also know that Mike's rate of work is 1/m car per minute.
Since we know the combined rate of work when they work together, we can set up another equation:
1/m + 1/17 = 1/8.24
Multiplying both sides by the least common multiple of the denominators (8.2417m).
178.24m + 8.2417m = 8.2417m + m8.24m
Simplifying.
141.08m = 139.68
Solving for m.
m = 0.989
Therefore,
It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.
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If n ∥ m, which of the following statements are true? Select all that apply.
Answer:
Step-by-step explanation:
Parallel lines would never intersect no matter how long the lines go on for because they have the same slope. That will always be true.
5
8)
8 h
a
X5.84
Area:
Perimeter:
Туре:
30.252
X_2
60.
a = 6.3 mm h= 5.84 mm
9
30.252
Paralellogram
The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
What is parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.
The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.
There are four distinct types of parallelograms, including three distinct types.
Rhombuses, parallelograms, squares, and rectangles are the four types.
So, the given image itself tells that the given figure is a parallelogram.
The area of the given parallelogram is:
A = b*h
A = 6.3*5.84
A = 36.792 mm²
The perimeter of the given parallelogram:
P = 2(a+b)
P = 2(6.3+5.84)
P = 24.28 mm
Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
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Help with this please 12 points on the line
Find the inverse of the function
The inverse of the function y-∛x/3 -1 is:
f^-1(x) = 27(x - 1)³How to calculate the inverse of the function?To find the inverse of the given function, we need to express x in terms of y. We can start by swapping the positions of x and y in the original equation:
x - ∛y/3 - 1 = 0Now, we can solve for y in terms of x:
x - ∛y/3 - 1 = 0∛y/3 = x - 1y/27 = (x - 1)^3y = 27(x - 1)^3Therefore, Therefore, the inverse of the given function is f^-1(x) = 27(x-1)³. This means that if we substitute any value of x into the inverse function, we will get the corresponding value of y that makes the original function true. Similarly, if we substitute any value of y into the original function, we will get the corresponding value of x that makes the inverse function true.
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Which of the following is not a real number?
O A. √13
OB. √-4
O C. VÌ
O D. √16
Answer: b
Step-by-step explanation:
Find the area of the regular polygon.
Answer:
This is a right angle
Step-by-step explanation:
There is a square inside of the triangle.
You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have $740 to spend, how many of each type of pizza can you buy?
Therefore , the solution of the given problem of unitary method comes out to be you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.
Define unitary method.To complete the assignment, make use of the tried-and-true fundamental technique, the actual variables, and any insightful knowledge you gain from the general and detailed questions. In response, customers might be given another opportunity to sample the products. We will miss out on substantial expression gains in programming comprehension if these changes don't take place.
Here,
Let's use "p" for the quantity of pepperoni pizzas and "s" for the quantity of sausage pizzas. Finding p and s values that meet the requirements is necessary.
In light of the information provided:
One pepperoni pizza costs $8.
One sausage pizza costs $6.
100 pizzas are required.
Budget total: $740
To reflect the stated conditions, we can construct the following system of equations:
=> p + s = 100 (1)
=> 8p + 6s = 740 (2)
=> 8p + 8s = 800 (3)
=> 8p + 6s - (8p + 8s) = 740 - 800
=> -2s = -60
=> s = (-60)/(-2)
=> s = 30
=> p + 30 = 100
=> p = 100 - 30
=> p = 70
With a $740 budget, you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.
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1. ¿A cuántas familias tendríamos que estudiar para conocer la preferencia del mercado en cuanto a las marcas de shampoo para bebé, si se conoce que el número de familias con bebés en el sector de interés es de 12 000? El nivel de confianza es del 96%, su error de muestreo es 4% y la proporción esperada es del 12%.
We would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.
How to Solve the Problem?To calculate the sample size needed to determine the market preference for baby shampoo brands, we can use the formula:
n = [(Z^2 * p * q) / E^2]
where:
n = sample size
Z = Z-score for the desired level of confidence (in this case, 1.96 for a 96% confidence level)
p = proportion expected (in this case, 0.12 or 12%)
q = 1 - p
E = margin of error (in this case, 0.04 or 4%)
Substituting these values into the formula, we get:
n = [(1.96^2 * 0.12 * 0.88) / 0.04^2] = 677.16
Since we cannot have a fraction of a family, we round up the sample size to 678 families. Therefore, we would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.
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[tex]1 1/7 - 5/6[/tex]
What is the distance between points (4, -2) and (4,4) on a coordinate plane
Answer:
The distance between points (4, -2) and (4,4) on a coordinate plane is 6 units. This is because the two points lie on the same vertical line, where the x-coordinate remains constant at 4. To find the distance between them, we simply need to subtract their y-coordinates: 4 - (-2) = 6. Therefore, the distance between the two points is 6 units.
TA
QUESTION 8/10
GAL
You are creating a budget for your new business. What should you include
Answer:
Step-by-step explanation:
For creating a budget for your business, you must include 4 main things.
These are as follows:
1. Transportation and vehicle cost.
2. Your estimated revenue plan
3. Profit margin
4. Spending goals
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Todd throws a ball from his tree house. The height in feet of the ball, h(t), above the ground after t seconds is modeled by the function h(t) = −3t2 + 9t + 12. Select the appropriate domain for the function.
The appropriate domain for the function h(t) = −3t^2 + 9t + 12 is [0, 3.08].
How to select the appropriate domainThe domain of a function is the set of all possible input values for which the function is defined. In this case, the function h(t) gives the height of the ball above the ground as a function of time t.
The ball is thrown from the tree house at some initial time, and it continues to travel until it hits the ground. The height of the ball is defined for all values of t between the time it is thrown and the time it hits the ground.
To find the domain of h(t), we need to determine the range of values of t for which the function is defined. The ball cannot have a negative height, so the function is undefined for values of t that would make h(t) negative.
To find the time at which the ball hits the ground, we need to set h(t) equal to zero and solve for t:
h(t) = -3t^2 + 9t + 12 = 0
Using the quadratic formula, we get:
t = (-9 ± √(9^2 - 4(-3)(12)))/(2(-3))
t = (-9 ± √(105))/(-6)
t ≈ -0.41 or t ≈ 3.08
Since the ball cannot have a negative height, the domain of the function is the interval [0, 3.08]. Therefore, the appropriate domain for the function h(t) = −3t^2 + 9t + 12 is [0, 3.08].
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Find the volume of the oblique pyramid below. Show all your work. Please don’t forget to label your answer.
Volume of oblique pyramid is 170ft³.
Define oblique pyramidAn oblique pyramid is a pyramid in which the apex is not directly above or below the center of the base. It is called "oblique" because it has a slant or tilt to its shape, as opposed to a "right" pyramid where the apex is directly above the center of the base. Oblique pyramids can have different shapes for their bases, such as a square, rectangle, triangle, or any other polygon.
Given
Base area=1/2× 12× 5
height of pyramid=17ft
Volume of oblique pyramid=Base area × height/3
=(1/2× 12× 5 ×17)/3
=170ft³
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Help please !!!!!!!!!!!!!!!!!!!!!!!!
Thus, the length of walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .
Explain about the perimeter of triangle:The quickest approach to determine a triangle's perimeter is to sum up all of its sides' lengths, but you must first determine each side's length if you don't already know it.
The walk way around the filed is the perimeter of the right triangle.
walk way = base + height + hypotenuse
walk way = B + P + H
base B = 80 - 10 = 70 m
Altitude P = 70 - 20 = 50 m
For the hypotenuse H , use the Pythagorean theorem:
H² = B² + P²
H² = 70² + 50²
H² = 4900 + 2500
H² = 7400
H = 86.023
So,
walk way = B + P + H
walk way = 70 + 50 + 86.023
walk way = 206.023 m
Thus, the walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .
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