Answer:
Step-by-step explanation:
A) The median number is just the middle number so it should be 2.8
B) Bottom 30% are the six lowest amounts. The highest of the bottom six numbers is 2.3. Not sure what it means by calculating them. 1.8, 1.9, 1.9, 2.0, 2.1, and 2.3 are the lowest six. If you need to add them up the answer is 12.
C) I don’t know what your Q1 is.
will give brainly .Which statements are true regarding undefinable terms in geometry? Check all that apply.
A point has no length or width.
A point indicates a location in a coordinate plane.
A plane has one dimension, length.
A line has a definite beginning and end.
A plane consists of an infinite set of lines.
A line consists of an infinite set of points.
The true statements about terms in geometry that are undefinable are;
A point has no length or widthA point indicates a location on the coordinate planeA line consists of an infinite set of points.A plane consists of an infinite set of points.How can the true statements be found?Three undefinable terms in geometry are;
1) Point
2) Line
3) Plane
The above terms do not have a formal definition but they can be described based on their properties.
The other geometric terms are defined based on the above undefinable terms.
A point can be described as a location in space that is dimensionless and can be specified on the coordinate plane as an ordered pairs (x, y).
True statements about a point are therefore;
A point has no length or widthA point indicates a location on the coordinate planeA line is infinitely long, that has no beginning or end. It has one dimension, with no thickness or height.
Given that a point is dimensionless, a line can be considered a set of points.
A true statement is therefore;
A line consists of an infinite set of points.A plane is a two dimensional geometric figure that have infinite length and width.
An infinite set of lines that forms a two dimensional figure can be used to describe a plane.
The true statement with regards to a plane is therefore;
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Diego Company manufactures one product that is sold for $70 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 53,000 units and sold 48,000 units.
Variable costs per unit:
Manufacturing:
Direct materials $ 21
Direct labor $ 10
Variable manufacturing overhead $ 2
Variable selling and administrative $ 4
Fixed costs per year:
Fixed manufacturing overhead $ 1,060,000
Fixed selling and administrative expense $ 557,000
The company sold 36,000 units in the East region and 12,000 units in the West region. It determined that $270,000 of its fixed selling and administrative expense is traceable to the West region, $220,000 is traceable to the East region, and the remaining $67,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.
15. Assume the West region invests $43,000 in a new advertising campaign in Year 2 that increases its unit sales by 20%. If all else remains constant, what would be the profit impact of pursuing the advertising campaign?
The 53,000 units produced and the increase in sales of 50,400 - 48,000 = 2,400 units, give an impact (increase) in profit of $168,000
How can the impact in profit be found?Price per unit = $70
Number of units produced = 53,000
Number of units sold = 48,000
Material cost per unit = $21
Labour cost per unit = $10
Manufacturing overhead = $2
Selling and administrative overhead = $4
Fixed cost = $1,060,000
Administrative expenses = $557,000
Advertising cost = $43,000
Percentage increase in sales = 20%
Number of units sold in Year 2 = 1.2 × 12,000 = 14,400
Total cost = 53000×(21+10+2+4) + 1,060,000 + 557,00 = 3,578,000
Total revenue in Year 1 = 70 × 48,000 = 3,360,000
Profit = Revenue - CostProfit in Year 1 = 3,360,000 - 3,578,000 = -218,000
Total revenue in Year 2 = 70 × (36,000+14,400) = 3,528,000
Profit in Year 2 = 3,528,000 - 3,578,000 = -50,000
The impact on the profit is therefore;
-50,000 - (-218,000) = 168,000
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Problem Set 3.1: Characteristics of the Mean Criterion: Explain a distribution. Instructions: Read the following and answer the questions. Data: To study perception, a researcher selects a sample of participants (n = 12) and asks them to hold pairs of objects differing in weight, but not in size, one in each hand. The researcher asks participants to report when they notice a difference in the weight of the two objects. Below is a list of the difference in weight (in pounds) when participants first noticed a difference. Answer the following questions based on the data given in the table. Difference in Weight 4 8 9 5 12 7 6 15 10 4 8 8 1. State the following values for this set of data: a) Mean ___8____ b) Median ___8____ c) Mode(s) ___8____ 2. What is the shape of this distribution? Hint: Use the values of the mean, median, and mode to infer the shape of this distribution. _____________
1a.The mean is 8.
b. The median is 8.
c. The mode is 8.
2. The shape of the data is: perfectly symmetrical distribution.
How to Find the Mean of a Data Set?To find the mean of the data set given for the difference in weight, 4, 8, 9, 5, 12, 7, 6, 15, 10, 4, 8, 8, 1, add all the values and divide by the number of values given, which is, n = 12.
Mean = (4 + 8 + 9 + 5 + 12 + 7 + 6 + 15 + 10 + 4 + 8 + 8)/12
Mean = (96)/12
Mean = 8
How to Find the Median?The median is the center of the data when it is ordered.
Ordered data: 4, 4, 5, 6, 7, 8, 8, 8, 9, 10, 12, 15
The center (median) is the average of the two center values = (8 + 8)/2 = 16/2
Median = 8
How to Find the Mode?The mode of the data is 8, because 8 appeared most in the data set.
The mean is 8.
The median is 8.
The mode is 8.
Thus, when the mean, median, and mode of a data set are the same, then it means the data is non-skewed or perfectly symmetrical.
Therefore the shape of the data is: perfectly symmetrical distribution.
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if x = 2z and y = 3z, find z
Answer:36
Step-by-step explanation:
Let name the missing angle in the triangle w.
We know that x+z+w=180
We also know that z+w=3z=y.
That means that w=2z.
x=2z, so, 2z+2z+z=180
z=36
Answer:
Z=36 degrees
Step-by-step explanation:
Since angles x and y are supplementary, you know that they add up to 180 degrees.
Since we know that:
=x+y
=2z+3z
=5z
=180 degrees
180/5=36 degrees, so Z=36 degrees
Which of the following equation(s) has/have slope zero?
a. x = 2
b.y = -3
c. y = 5x+2
d. x+ 5 = 0
O Both a and c
Only c
O Only b
O Both a and d
Answer:
b, only b
y = -3 has zero slope.
Step-by-step explanation:
Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.
Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.
Only choice b has zero slope.
the square of a whole number is between 500 and 900. the number must be between...
A. 20 and 30
B. 30 and 40
C. 40 and 50
D. 50 and 60
The number must be between 20 and 30.
How to find the square of whole number?The square of the whole number can be found as follows;
The square of the whole number is between 500 and 900. The number must be between 20 and 30.
The number is an whole number.
Therefore, the number will be between 20 and 30.
20² = 400
30² = 900
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How many fewer people live in Elmira than White Plains
Population density implies the number of an object, items, or people that can be found in a unit area at a particular time. Therefore, the number of fewer people that live in Elmira than in White Plains is 27,653.
Population density implies the total number of objects, items, or people that exist in a unit area or a place at a particular time. So that the number of people that exist in a place, area, city, or country can be referred to as population, in a particular period.
Thus in the given question, it can be deduced that;
The population of people living in White Plains =56,853
The population of people living in Elmira = 29,200
So, the difference in the population between the two cities can be determined as;
= 56,853 - 29,200
= 27,653
Thus, the number of fewer people living in Elmira than in White Plains is 27,653
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Solve the following equation for y to find the slope and the y-intercept: 2y - x = 6
Step-by-step explanation:
2y - x = 6
2y = x + 6
y = (x + 6) / 2
the slope is 1 and the y int is 3
Darcy read her thermometer in the morning and the
temperature was -2° C. In the afternoon the same
thermometer showed a temperature of -5° C.
Which of the following is true?
The temperature was 3 degrees warmer in the afternoon.
The temperature was 3 degrees colder in the afternoon.
The temperature was 7 degrees colder in the afternoon.
The temperature was 7 degrees warmer in the afternoon.
Answer:
The temperature was 3 degrees colder in the afternoon
Step-by-step explanation:
numbers on the left of zero on the number line are arranged in decreasing order and as such -2 is greater than -5.
The true statement is The temperature was 3 degrees colder in the afternoon.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.
Given that, Darcy read her thermometer in the morning and the temperature was -2° C. In the afternoon, the same thermometer showed a temperature of -5° C.
-2-3 = -5
We see, that, the temperature is falling from -2 to -5, that means, there was a fall in temperature from morning to afternoon.
Hence, the temperature was 3 degrees colder in the afternoon.
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Billy eats 28 apples and he had 40 apples at the start a kid asks for an apple how many apples are there left?
Answer: 11
Step-by-step explanation: 40-28= 12-1=11
Answer:
11 apples are left.
Step-by-step explanation:
Since Billy ate 28 apples from the 40 apples he had at the start, you have to subtract 40-28, which equals 12. Lastly, you subtract 12-1, since a kid asks Billy for an apple.
write an inequality to represent the graph:
Answer:
Step-by-step explanation:
What is the area of a poster that is 1 1/2 feet by 2 1/2 feet?
The area of the poster is 28.75 feet square.
How to determine the areaNote that the area of a rectangle is given as;
Area = length × width
Length = 11. 5 feet
Width = 2. 5 feet
Area = 11. 5 × 2. 5
Area = 28. 75 feet square
Thus, the area of the poster is 28.75 feet square.
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The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below.
a. Find the probability of getting exactly 6 girls in 8 births.
b. Find the probability of getting 6 or more girls in 8 births.
c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)?
d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event.
Number of Girls x P(x)
0 0.002
1 0.016
2 0.109
3 0.199
4 0.348
5 0.199
6 0.109
7 0.016
8 0.002
The answers to the questions are
0.1090.127b is a relevant factor6 is not highHow to solve for the probabilitya. From the table the probability of having 6 girls in 8 birth is given as
0.109.
b. The probability of 6 or more girls in 8 births
p(6) + p(7) + p(8)
= 0.109 + 0.016 + 0.002
= 0.127
c. The result from b is the relevant factor given that it includes the probability of getting 6, 7 and 8 girls.
D. No six is not a significantly high number of girls in 8 births. This conclusion is from the fact that 0.109 is greater than 0.05.
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A parking garage bases its prices on the number of hours that a vehicle parks in the garage.
Graph of a piecewise function with one piece constant from 0 comma 2 to 2 comma 2 and another piece going from the point 2 comma 2 to 6 comma 10 and another piece going from 6 comma 10 through 7 comma 11 to the right
Based on the graph, what is the pricing scheme the parking garage uses for vehicles?
The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $2, between two and four hours cost $1 per hour, and all hours after that cost $0.50.
The first two hours cost $1 per hour, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $1 per hour, between two hours and six hours cost $1 per hour, and all hours after that cost $0.50.
The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
How to determine the pricing scheme?The points are given as:
Constant = (0,2) to (2, 2)Another = (2,2) to (6,10)Another = (6,10) to (7,11)The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
The next 4 hours are charged for $2 per hourAll hours after that cost $1Hence, the pricing scheme of the function is (a)
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10 points please help with calculus HW
Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.)
x^2 + y^2 = 10, (1, 3)
(a)Tangent Line = ___?____
(b)Normal Line=____?____
(c) Select a graph from the graph pictures attached
a. The equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
a. How to find the equation of the tangent at (1, 3)?Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.
So, x² + y² = 10
d(x² + y²)/dx = d10/dx
dx²/dx + dy²/dx = 0
2x + 2ydy/dx = 0
2ydy/dx = -2x
dy/dx = -2x/2y
dy/dx = -x/y
At (1,3), dy/dx = -1/3
Using the equation of a straight line in slope-point form, we have
m = (y - y₁)/(x - x₁) where
m = gradient of the tangent = dy/dx at (1,3) = -1/3 and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
-1/3 = (y - 3)/(x - 1)
-(x - 1) = 3(y - 3)
-x + 1 = 3y - 9
3y = -x + 1 + 9
3y = -x + 10
3y + x = 10
y = -x/3 + 10/3
So, the equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at the point (1, 3)Since the tangent and normal line are perpendicular at the point, for two perpendicular line,
mm' = -1 where
m = gradient of tangent = -1/3 and m' = gradient of normalSo, m' = -1/m
= -1/(-1/3)
= 3
Using the equation of a straight line in slope-point form, we have
m' = (y - y₁)/(x - x₁) where
m' = gradient of normal at (1, 3) and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
3 = (y - 3)/(x - 1)
3(x - 1) = (y - 3)
3x - 3 = y - 3
y = 3x - 3 + 3
y = 3x + 0
y = 3x
So, the equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
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The sum of three numbers is 24. If two numbers are 16 and 22, what is the third?
Answer:
X=-14
Step-by-step explanation:
16+22+x=24
38+x=24
x=24-38
x=-14
Claire has 18 nail polish bottles while Becky has 2/3 of that amount. How many bottles of nail polish does Becky have?
Answer:
15/16
Step-by-step explanation:
because 2/3have Becky
In the drawing below, what choice shows the corresponding sides as equal ratios?
Considering the similarity of triangles, the corresponding sides are:
[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].
What are similar triangles?If two triangles have the exact same angles, they are called similar, and the corresponding sides, that is, the sides adjacent to the same angles, have proportional lengths.
In this problem, the corresponding sides have equal ratios given as follows:
[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].
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Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.
Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell
The number of possible committees from the given list is; 120 committees
How to Solve Probability Combinations?From the given list, we can say that;
Number of faculty members = 4
Number of male students = 2
Number of female students = 3
Number of parents = 5
Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;
Number of committees = 4 * 2 * 3 * 5 = 120 possible committees
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Jakobe runs a coffee cart where he sells coffee for $1.50 tea for $2 , and donuts for $0.75 . On Monday, he sold 320 items and made $415 . He sold 3 times as much coffee as tea. How many donuts did he sell?
Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of coffee, y represent the amount of tea and z represent the amount of donuts, hence:
x + y + z = 320 (1)
Also:
1.5x + 2y + 0.75z = 415 (2)
And:
x = 3y (3)
From the equations:
x = 150, y= 50 and z = 120
Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
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Which point is the center of the Circle with the given equation.
(x + 5)2 + (y - 4)2 = 9
The center of the circle is (-5, 4)
How to determine the center of the circle?The circle equation is given as:
(x + 5)^2 + (y - 4)^2 = 9
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where
Center = (a, b)
By comparing both equations, we have
(a, b) = (-5, 4)
Hence, the center of the circle is (-5, 4)
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What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?
12
15
17
18
The solution to the expression is 18
Write an Algebra equation to the following question: Stephen and Lauren bought a home to flip for a profit. After budgeting a total of $23,150 for improvements, they started by spending $10,350 on subbing out some of the work. They would like to replace all thirty-two of the windows in the home. What is the maximum amount they can afford to spend on each window?
The maximum amount they can afford to spend on each window is $400
EquationTotal budget = $23,150Amount spent on subbing = $10,350Number of windows = 32Amount spent on each window = x23,150 = 10,350 + 32x
23,150 - 10,350 = 32x
12,800 = 32x
divide both sides by 32x = 12,800 / 32
x = $400
Therefore, the amount spent on each window is $400
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Can you please help me with this urgently need help?
It is grade 12 advance function question
Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)
The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25
How does sine function works?Suppose that we've got
[tex]f(x) = a\sin(bx + c) + d[/tex]
Amplitude or maximum height from average motion horizontal axis
= a + d
Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).
A sine function is represented as:
y = Asin(B(x+C)) + D
Now, Substitute the calculated values,
y = -1.25sin(0.8(x+C)) + 0.25
The horizontal shift (C) is 0.
So, the function will be;
y = -1.25sin(0.8x) + 0.25
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Did you ever purchase a bag of M&M Peanut candies and wonder about the distribution of
the colors? A recent article reported that 30 percent of the candies are brown, 20 percent yellow,
20 percent red, 20 percent green, and 10 percent orange. A one-pound bag of M&M peanut
candies was purchased at Wal-Mart here in Lubbock. A total of 188 candies were in the bag,
with 67 brown, 22 yellow, 51 red, 24 green, and 24 orange.
Fill in the following chart on the frequency of the colors.
Color Brown Yellow Red Orange Blue Green
Observed
Frequency
Expected
Frequency
Using the information from our sample bag, determine if our bag’s distribution matches the
advertised distribution. Use an alpha = 0.05.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What distribution are you using?
4. What test are you running?
5. What is the critical value?
6. What is your test value?
7. What is your conclusion?
The null hypothesis is that the proportions are 0.30, 0.20, 0.20, 0.20, 0.10 and the alternative hypothesis is that the proportions are not as given above.
How to illustrate the information?It should be noted that the null hypothesis is the theory that states that there is no statistical relationship between the variables.
In this case, the Chi square test can be run to get the desired information. Therefore, X² was gotten as 19.597. The degree of freedom is 4 and the p value is 0.0006 from the distribution table.
In this case, the critical value of 0.006 is less than the 0.05. Therefore, we need to reject the null hypothesis.
This implies that there's evidence that the distribution doesn't correlate with what we've.
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The sum of two integers is 250.If one of them is -87,find the others integers
x is directly proportional to y. When x = 4, y = 7. Work out the value
of y when x = 12
Answer:
y = 21
Step-by-step explanation:
When x is directly proportional to y:
When x increases, y also increases.
In this case, it is so you write,
1. Write down the formula: y=kx
k being the constant.
Let's use "When x = 4, y = 7" to work out the constant.
2. Substitute the 'when' values: 7=k×4
3. Rearrange to find the constant: 7÷4=k
4. Find k: k=1.75
Now let's see the new problem, 'what is y when x = 12'.
5. Substitute the values now but keep the constant: y = 1.75 × 12
6. Rearrange if needed.
7. Find the missing value: y = 21
Hope this helped and if you require further assistance from me please comment below! :)
Ps: If it was inversely proportional then the formula would be y = k / x
with k still being the constant.
Consider the probability that exactly 90 out of 147 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 56%.
Approximate the probability using the normal distribution. Round your answer to four decimal places.
Answer:
Step-by-step explanation:
i didnt do anything bro why u delete my answer
Can you help me with this please?
The half-life of the given exponential function is of 346.57 years.
What is the half-life of an exponential function?It is the value of t when A(t) = 0.5A(0).
In this problem, the equation is:
[tex]A(t) = A(0)e^{-0.002t}[/tex].
In which t is measured in years.
Hence the half-life is found as follows:
[tex]0.5A(0) = A(0)e^{-0.002t}[/tex]
[tex]e^{-0.002t} = 0.5[/tex]
[tex]\ln{e^{-0.002t}} = \ln{0.5}[/tex]
[tex]0.002t = -\ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.002}[/tex]
t = 346.57 years.
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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 36 and 56?
The approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5.
Hence, Mean,μ=46 and Standard deviation,σ=5.
To find the probability of daily phone calls numbering between 36 and 56,
P(36≤X≤56)
To convert the X score to Z score, use the formula, Z=(X-μ)/σ
Then we get,
P((36-46)/5 ≤ Z ≤ (56-46)/5) = P(-2 ≤ Z ≤ 2)
By using the property of the normal bell curve, we get
P(-2 ≤ Z ≤ 2) = P(2 ≤ Z) - P(-2 ≤ Z)
As per the normal distribution table,
P(2 ≤ Z) - P(-2 ≤ Z) = 0.9772-0.0228
∴ P(36≤X≤56) = 0.9544
Hence, the approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.
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