I stitched a photo of the solution.
why is this correct?
Trapezoid area = (7+3)/2• height = 10/2 •height
Parallelogram area= 5 • height
Then ,Candy is correct ,both areas are EQUAL
The area of parallelogram is 5•H
The area of trapezoid is 10•H divided by 2 ,or. 5•H
Given the linear function x+4y=3, state the slope of the line perpendicular to the given line.
An executive invests 29,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,230, how much is invested at each rate?
Answer:
Amount invested in A (8%) = $20,000
Amount invested in B (7%) = $9,000
Step-by-step explanation:
Given:
Total amount invested = $29,000
Interest rate A = 8% = 0.08
Interest rate B = 7% = 0.07
Annual return = $2,230
Find:
Amount invested in each
Computation:
Assume;
Amount invested in A = x
Amount invested in B = 29,000 - x
So,
Interest receive from A = x × 0.08
Interest receive from A = 0.08 x
Interest receive from B = (29000 - x) × 0.07
Interest receive from B = 2,030 - 0.07 x
Annual return = Interest receive from A + Interest receive from B
2,230 = 0.08 x + 2,030 - 0.07 x
x = 20,000
Amount invested in A = $20,000
Amount invested in B = 29,000 - $20,000
Amount invested in B = $9,000
When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?
2. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.
3. After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?
4. Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.
Part 3
Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to
replace some of the old ones. She had $150.00 to spend. Describe two
different ways that Mrs. Weeks could spend her money if she bought at least
two of each of the balls.
Use coins or cut out the manipulatives on the next page to help you act out
the problem. I need help on this one the most please answer
Answer:
eeeee
Step-by-step explanation:
can someone please help me with this (due today)
What is 534.8 x 17 in long multiplication?
Answer:
Step-by-step explanation: 9091.6
Answer:
9091.6
Step-by-step explanation:
what is the maximal domain on the function x^2+8/x^2+4x-5?
Answer:
{x ∈ R: x ≠ -5 and x ≠ 1}.
Step-by-step explanation:
x^2+8/x^2+4x-5
= x^2+8 / (x - 1)(x + 5)
The denominator is zero when x = 1 or x = -5
So:
Domain is:
{x ∈ R : x ≠ -5 and x ≠ 1}.
Multiple Choice You are taking guitar
•lessons. The cost of the first lesson is twice the cost of each additional lesson. You spend $360 for 8 lessons. How much did the first
lesson cost'7
A $40
(C $50
(E $80
B) $45
(D $60
The cost of the first lesson based on the information is E. $80.
How to calculate the cost?From the information, the cost of the first lesson is twice the cost of each additional lesson. Let the others lesson b represented by x.
The first lesson will be: = 2 × x = 2x
Since there are 8 lessons, this will be:
First lesson + Other lesson = Cost
2x + (7 × x) = 360
2x + 7x = 360
9x = 360
Divide
x = 360/9
x = 40
Therefore, first lesson will be:
= 2x
= 2 × 40
= 80
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let a denote the event thsat moe than 1000 wells are formed, let b donate the event that that the well failed, let c denote that less than 500 wells are formed. what so the probabilyt of b given a g
(a) The probability of a failure given there are more than 1,000 wells in a geological formation is 0.1001.
(b) The probability of a failure given there are fewer than 500 wells in a geological formation is 0.0852.
(a) We have to determine the probability of a failure given there are more than 1,000 wells in a geological formation.
P(B∣A) = Total number of failed wells more than 1000 wells/Total number of wells with 1000 failed wells
P(B∣A) = (180 + 443 + 60)/(1685 + 3733 + 1403)
P(B∣A) = 683/6821
P(B∣A) = 0.1001
(b) We have to determine the probability of a failure given there are fewer than 500 wells in a geological formation.
P(B∣C) = Number of failed well/Number of failed wells with total less that 500 wells
P(B∣C) = (2 + 14 + 44 + 3)/(28 + 363 + 309 + 39)
P(B∣C) = 63/739
P(B∣C) = 0.0852
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The complete question is:
Consider the well failure data in the table below. Let A denote the event that the geological formation of a well has more than 1000 wells, let B denote the event that a well failed, and let C denote the event that the geological formation of a well has fewer than 500 wells.
(a) What is the probability of a failure given there are more than 1,000 wells in a geological formation? Round your answer to four decimal places (e.g. 98.7654). P(B∣A)=
(b) What is the probability of a failure given there are fewer than 500 wells in a geological formation? Round your answer to four decimal places (e.g. 98.7654). P(B∣C)=
PLATO! Select ALL the correct answers.
Identify the scenarios in which the statistics are misleading.
A. a music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in
his city.
B. A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
D. A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website
during the past month.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Answer:
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Step-by-step explanation:
These two are the biased reports because they don't include the full population.
C is biased because it only includes teens, not people of any other age.
E is biased because it only included males, not females.
A isn't biased because it includes the stated population, high school students in the city.
B isn't biased because the sample was of 50 random customers, which is the general population.
D isn't biased as it included all data from the website.
Hope this helps!
The solution is,:
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
The numbers which summarize information about the sample are called statistic.
The scenarios in which the statistics are misleading;
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
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Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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HELP!
"What is Limit as x approaches negative 14p(x), if it exists?"
Answer:
2
Step-by-step explanation:
Based in the given table, the limit of p(x) as x approaches -14 is approximately 2.
What are limits of a function?The limit of a function is the value which a function approaches as the input value of a function gets closer and closer to some given value or number.
Based on the table;
when x is -14.01, p(x) = 1.6
when x is -14.001, p(x) = 1.96
when x is exactly -14, p(x) is undefined.
Therefore, the limit of p(x) as x approaches -14 is approximately 2.
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What is 7/11 x 1/4 in simplest form
Answer:
\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).
Cannot reduce it. Then it will make the numerator a decimal
Which cannot happen.
\(\frac{7}{44}\) is the answer then
Answer:
7/11 x 1/4 = 0.015
I hoped it helped you.
Write each product using an exponent.
9 × 9 × 9 × 9
Answer:
9^4 is what you’re looking for right?
Step-by-step explanation:
Answer:
9^4
Step-by-step explanation:
The number 9 is timed for 4 times (sorry for my broken english as my english is bad)
1. Define transformation using the words preimage and
image.
Answer:
A transformation is when the preimage of a shape is changed in size or shape into a new image
Step-by-step explanation:
Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.
Step-by-step explanation: I attached a image for you to see.
Which expression is a factor of 21x2 + 13x – 20?
A. 3x – 4
B. 7x - 5
C. 7x + 4
D. 3x + 5
Answer:c
Step-by-step explanation:
7x - 5 is the factor of 21x²+13x-2.Option B is correct.
What is the equation?An equation is a statement indicating the equality of two expressions that contain variables and/or numbers. In essence, equations are questions, and the pursuit of methodically resolving these questions has been the impetus for the development of mathematics.
It is given that, the expression is 21x²+13x-2.
We have to find the factor of the expression.
Algebraic expression factorization is the process of identifying two or more expressions whose product equals the given expression. Algebraic expression factorization is hence the multiplication procedure in reverse.
\(=21x^2+13x-20 \\\\ =\left(21x^2-15x\right)+\left(28x-20\right) \\\\ =3x\left(7x-5\right)+4\left(7x-5\right) \\\\ =\left(7x-5\right)\left(3x+4\right)\)
The factors of the expression are (7x-5) and (3x-4).
Thu option B is correct.
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The function f(x) is graphed below. How many points on the graph represent a relative minimum? PLEASE need help i don't understand. Need by TONIGHT!!!
Answer:
b and d are relative minimums (minima)
Step-by-step explanation:
An "absolute" minimum is the very lowest point on a graph. This graph doesn't have an "absolute" minimum because the end points both go to negative infinity (they go down forever)
But, this graph DOES have points that are "relative" minimums, which means the points are the minimum (lowest) in their neighborhood. In the immediate vicinity of the point, it is the lowest point.
In case there are further questions with this graph:
relative max: a and c
absolute max: f
x-intercepts: a,c,e,g
probably a 6th degree function,
multiplicity 2 at a and c
multiplicity 1 at e, g
leading coeffient is negative.
The math score for ten of Mrs. Moore's students are shown below. How many students made a score of more than 69 but less than 90?
Answer:
8
Step-by-step explanation:
first, 70-79 have 3 students
then 80-89 have 5 students
Simplify the expression:
2x+1bx8
Answer:
2x+8b
Step-by-step explanation:
First since 1 and 8b are on the same side mutiply them:
1bx8=8b
So our new equation is 2x+8b
Convert .805 liters to millimeter s
Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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Which expression means “6 times the square of a number w”?
Answer:
its the second expression
Step-by-step explanation:
Answer:
B. 6w^2 Second option
Step-by-step explanation:
You are multiplying, therefore when a digit is next to a letter in a math expression. It means to multiply
someone please help me im timed
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
how many decimal points are in 131.6
Answer:
It just has 1 decimal point
Step-by-step explanation:
If it was a number like 14.454, then that would have 3 decimal points
Hope this helps!
what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
what is 3 2/3+2.3 the 2.3 is a repeating decimal
Answer:
5.96 with the repeating sign over the 6
Step-by-step explanation:
Answer:
6.
Step-by-step explanation:
Convert the decimal to a fraction:
2.33333.... = 2 1/3, so it is:
3 2/3 + 2 1/3
= 3 + 2 + 2/3 + 1/3
= 3 + 2 + 1
= 6.
A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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In a certain College, 40% of the english majors are from New York. Find the probability of the event from a random sample of 16 students who are english majors.
Exactly 2 are from New York
*Applications on Probability*
Answer:
0.015
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
In this case, n = 16, r = 2, and p = 0.4.
P = ₁₆C₂ (0.4)² (0.6)¹⁴
P ≈ 0.015
The probability is approximately 0.015, or 1.5%.
The graph for the equation y = 2 x + 4 is shown below. On a coordinate plane, a line goes through (negative 2, 0) and (0, 4). If another equation is graphed so that the system has one solution, which equation could that be?
Answer: x = 1
Step-by-step explanation:
x = 1 provides one solution for any linear equation, as it is a straight vertical line.
Hope it helps <3
Answer:
x=2
Step-by-step explanation:
Our equation is y=2x+4
the line goes through (2,0) and (0,4)
(2,0) is the x-axis intercept wich is given by y=0(0,4) is the y-intercept wich by y= 2*0+4This equation has one solution for y=0
there are millions of similar equations that has one solution like:
x = 2
Fast please Solve 7 ÷ one half = ___.
Answer:
Can someone help me with this please i've been stuck on this question for 9 minutes. Solve 7 ÷1/2 = ___ Get the answers you need, now!
Step-by-step explanation: