Answer:
puats
Step-by-step explanation:
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equal to $10,000, versus the alternative that it is less than $10,000. The data leads to the rejection the null hypothesis. However, it is learned later that the mean is indeed $10,000. What type of error (if any) occurred
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
what is the perpendicular and parallel lines of y= -2 -4x
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
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Geometry end of year review escape room: room F
The volume of the cylinder that has a radius of 7 ft and a height of 5 ft in the geometry will be 769.7 ft³.
How to illustrate the geometry?It should be noted that the volume of a cylinder is given as:
= πr²h
where,
π = 3.142
r = radius = 7
h = height = 5
Therefore, the volume will be:
= πr²h
= 3.142 × 7² × 5
= 3.142 × 49 × 5
= 769.7 ft³
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Anna scout troop went on an overnight camping trip. there were 4 scouts in thr troop who had never camped before for every 3 scouts who had camped. if there were 9 scouts in the troop who had camped before, how many scouts had never camped
Answer:
12
Step-by-step explanation:
Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake (Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively. a. Formulate the Revenue function If it takes 4 cups of milk, 7 cups of sugar, 1 egg, 3 cups flour & 4 cups cream to make Cake 1; 3 cups milk, 4 cups sugar, 2 egg, 4 cups flour & no cream to make Cake 2; 1 cups milk, 5 cups sugar, 3 eggs, 2 cups flour & 1 cup cream to make Cake 3; 5 cups milk, no sugar, 4 eggs, 4 cups flour & 5 cups cream for Cake 4; & lastly 4 cups milk, 8 cups sugar, 5 eggs, 6 cups flour & 3 cups cream to make Cake 5; Which types of cakes to be baked such that we get maximum Revenue? Keep in mind that the store has availability of maximum 280 cups milk, 300 cups sugar, 80 eggs, 250 cups flour & 190 cups cream at their disposal. b. Formulate the constraints of the scenario. c. Solve the system if linear inequalities using Excel Solver.
A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
How did we get these values?To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:
a. Revenue Function:
Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.
The revenue function can be formulated as:
Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)
In equation form:
Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
b. Constraints:
The constraints for the availability of ingredients can be formulated as follows:
Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280
Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300
Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80
Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250
Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190
Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
c. Solve the system of linear inequalities using E x c e l Solver:
To solve the system of linear inequalities using E x c e l Solver, follow these steps:
1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:
| | A | B |
|-----|-----------|-----------------|
| 1 | Cakes | Selling Price |
| 2 | Cake 1 | $9 |
| 3 | Cake 2 | $12 |
| 4 | Cake 3 | $4 |
| 5 | Cake 4 | $5 |
| 6 | Cake 5 | $8 |
| | | |
| | | Formula |
| 9 | Milk | 280 |
| 10 | Sugar | 300 |
| 11 | Eggs | 80 |
| 12 | Flour | 250 |
| 13 | Cream | 190 |
2. In cell B16, enter the formula for the revenue:
=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11
3. In cell B18, enter the formula for the milk constraint:
=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6
4. In cell B19, enter the formula for the sugar constraint:
=7×B2 + 4×B3 + 5×B4
5. In cell B20, enter the formula for the egg constraint:
=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6
6. In cell B21, enter the formula for the flour constraint:
=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6
7. In cell B22, enter the formula for the cream constraint:
=4×B2 + 5×B4 + B5 + 3×B6
8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:
=B2
9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:
=B3
=B4
=B5
=B6
10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.
11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).
12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).
13. Click on the "Add" button in the "Subject to the Constraints" section.
14. In the Constraint window, select the range B18:B22 for the constraint cells.
15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.
16. Set the Solver options as desired, and click on the "Solve" button.
E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.
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This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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Multiplying and dividing fractions test
Answer:
ividing fractions test
Step-by-step explanation:
Answer:
dividing test
Step-by-step explanation:
Write the prime factorization of 45. Use exponents when appropriate and order the factors from least to greatest (for example, 2235)
The prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the number.
Using prime factorisation, we shall consider the first five prime numbers which are; 2, 3, 5, 7, and 11.
45 cannot be divided by 2 without a remainder so we use 3;
45/3 = 15
15 can also be divided by 3 so;
15/3 = 5
3 cannot divide 5 without a remainder so we use 5;
5/5 = 1
hence;
45 = 3 × 3 × 5
45 = 3² × 5¹
Therefore, the prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹
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k= y/x (3x-1)-2.75(x+2)
Answer:
k=
−2.75x2+3xy−5.5x−y/x
Step-by-step explanation:
Hi! so i see you need help with this problem let me help you and guide you through the steps :]
Let's solve for k.
k= y/x
(3x−1)−2.75(x+2)
Step 1: Multiply both sides by x.
kx=−2.75x2+3xy−5.5x−y
Step 2: Divide both sides by x.
kx/x
=
−2.75x2+3xy−5.5x−y/x
k=
−2.75x2+3xy−5.5x−y/x
Answer:
k=
−2.75x2+3xy−5.5x−y/x
he table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. x f(x) 0 1 2 11 4 21 g(x) = 4x + 1 The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).
What is the definition of a function?
A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.
Now,
From given function f(x) and g(x)
For f(x) when x=0 then y=1 or y-intercept=1
for g(x), the y-intercept is 1 from equation y=4x+1
and slope of g(x)=4
and slope of f(x)=(11-1)/(2-0)
=10/5
=2
Hence,
The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).
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In a pet store, the small fishbowl holds up to 23
gallons of water. The large fishbowl holds up to 2
times as much water as the small fishbowl.
Eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl
hold?
Enter your answer as a mixed number in simplost
form by filling in the boxos.
aal
Answer: the large fishbowl hold up to 46 gallons of water
Step-by-step explanation:
Answer: the large fishbowl hold up to 46 gallons of water
F(x)=-14/x^2 average rate
Answer:
I am assuming that the function is f(x)=20(14)x, if it is
then f(x)=280x , The average rate of change between x =1 and x=2
is the slope of the function between the 2 and 1
Average rate of change = [f(b)-f(a)/b-a] let a and b be x and y
f(a)=f(x)=f(1)=280x1=280
f(b)=f(y)=f(2)=280x2=560
Average rate of change = [f(b)-f(a)/b-a]=[(560-280)/(2-1)]=280
There is no decimal unless the function given is wrong
Step-by-step explanation:
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".What is the outlier point? Please express your answer as (x,y).
The outlier of the graph is
(5, 1)What is outlier?An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.
Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).
The problem used a scatter plot plot to show that the outlier is (5, 1)
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Pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
box one
box three
box four
box two is incorrect because 0.80/100 x 400 is 3.2
and we are looking for the common denominator of 320 :)
how do i know the common denominator is 320? it's is 80% of 400!
i hope this helps
Answer:
first box, second box and third box.
Step-by-step explanation:
This is because they shared the same answer which is 320.
hope it helps =)
Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M?
Answer:
100 or A
Step-by-step explanation:
i hope this is what you were looking for ;)
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
The triangle shown below has an area of 444 units^2 2 squared. Find the missing side.
Answer:
2 units
Step-by-step explanation:
khan
Answer:
\(\boxed{\tt x=2\: units}\)
Step-by-step explanation:
First, we need to set up an equation using the formula for the area of a triangle.
\(\boxed{\tt Area=\cfrac{1}{2} \times \: base\times height}\)
Given:
Area: 4
Base: x
Height: 4
____________________
\(\tt 4=\cfrac{1}{2} \times\: x\times4\)
\(\longmapsto\tt 4=2x\)
Divide both sides by 2:
\(\longmapsto\tt \cfrac{4}{2}=\cfrac{2x}{2}\)
\(\longmapsto\tt x=\cfrac{4}{2}\)
\(\longmapsto\tt x=2\)
Therefore, the missing side is 2 units.
____________________________
Which expression is equal to 3√5/√11
A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11
Answer:
B
Step-by-step explanation:
3√5/√11 = 2.02
3√55/11 = 2.02
so,
3√5/√11 = 3√55/11
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
What is the slope-intercept form of 12x + 4y = 32?
Answer:
y = -3x + 8
Step-by-step explanation:
y = -3x + 8 is the slope-intercept form of of the line 12x + 4y = 32.
What is a Linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
given, a linear equation 12x + 4y = 32
The general formula for a slope-intercept form of a line:
y = mx+b
Where m = slope
From given equation
12x + 4y = 32
4y = -12x + 32
y = -3x + 8
The slope of the line = -3
therefore, the slope-intercept form of 12x + 4y = 32 is y = -3x + 8.
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The bill in a restaurant is $102.25. A tip of 20% is added to the bill. What id tyhe final amount paid?
Answer: $117.59
Step-by-step explanation:
If you multiply 0.47 × 3.2, then what is the answer?
Answer:
1.504
Step-by-step explanation:
0.47×100 = 47
3.2×100 = 320
47×320 = 15040
15040÷10000 = 1.504
what is the slope line
Answer:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
Step-by-step explanation:
you won 1 million dollars in prize money, however they are not giving it to you all at once. so is your money trult the value of the prize
compare: These two equations
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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Solve for x: -7x+3=-25
ANSWER:
The value of x 4
STEP-BY-STEP EXPLANATION:
We have the following equation
\(-7x+3=-25\)Solving for x:
\(\begin{gathered} -7x=-25-3 \\ x=\frac{-28}{-7} \\ x=4 \end{gathered}\)