Step-by-step explanation:
Given:
\( \cfrac{m - 8}{2} < 2 \: \: \: \: \: ...1\)
\( \cfrac{3m + 1}2 > - 1 \: \: \: \: \: ...2\)
Inequality 1:
Simplify:
1/2 m - 4 < 2Add 4 to both sides:
1/2 m - 4 + 4 < 2+41/2 m < 6Multiply both sides by 2:
1/2 m * 2 < 6*2 m < 12Hence,m < 8
Inequality 2:
\( \cfrac{3m + 1}2 > - 1\)
This inequality can't be solved because the absolute values can't be less than 0,and can't be negative.
No solutions.The constraints of a problem are listed below. What are the vertices of the feasible region? x+y<7
Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
b. Rewrite 4 x 63 as the product of a unit fraction and a whole number.
Solve.
Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6
How to multiply fractions?The parameters are given as:
Number - 4
Fraction - 3/6
The following steps can be used to determine the product as the product of a whole number and a unit fraction:
Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.
Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.
Step 3 - Write the given expression.
4 * 3/6
Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.
4 * 3 * 1/6
Step 5 - Simplify the above expression.
12 * 1/6
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f(x) = -2x^2+3x-6
how does the function open
If adding two fractions that are both greater than one half what must be true about the sum
Answer:
The solution is greater than 1.
(08.01 MC)
Find the height of a square pyramid that has a volume of 8 cubic feet and
a base length of 2 feet. (1 point)
O 6 feet
O 16 feet
O 12 feet
O 4 feet
Answer:
6 feetStep-by-step explanation:
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet
Volume v = 1/3*a²h
inverse formula
8 = 1/3 * 2² * h
8 = 4 h /3
divide both the sides by 4
h = 6 feet
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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what is the solution to the system of equations y23x3 x 2
The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).
The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3 .. ... ...(1)
and x = -2. .. .... ...(2)
We already know the first part of the solution (x) which is -2. We can find the other part (y) by putting the value of equation (2) in equation (1).
By putting the values of x in equation (1), we get
y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3
Taking the L. C. M of denominators which will be '3', we get:
y = \(\frac{-4 + 9}{3}\)
y = \(\frac{5}{3}\)
So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).
Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).
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A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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A circular rug is cut from a square piece of carpet. Each side of the square piece of Carpet is 40 inches long. After cutting out the circular rug, approximately how much carpet will be left over?
Answer:
Below
Step-by-step explanation:
Area of square - area of circle = remnant area of circle = pi r^2
(40 x 40) - pi (20^2) = 343 . 4 in^2 left over
( this assumes the circle touches the edges of the square)
You are renting a car that charges a $30 fee plus 40 cents a mile. The rate of change
is $30.
True
False
Answer:
true
is the answer
Which of the following equations has a solution of x = -5?
Answer:
C)
Step-by-step explanation:
16x - 7 = 11x - 32
16x - 11x = -32 + 7
5x = -25
x = -5
__________________________________________________
-4x - 10 = 2x + 20
-4x - 2x = 20 + 10
-6x = 30
x = -5
An easy way to determine the slope of a roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof.
The slope of the roof shown here is measured with a 12-inch level and a ruler.
What is the slope of the roof in this picture?
Answer:
7/12
Step-by-step explanation:
m=rise/run
The required slope of the roof is given as 7/12, as per the given conditions.
Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.
The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12
The slope of the roof is given as,
m = rise/ run
m = 7 / 12
Thus, the required slope of the roof is given as 7/12, as per the given conditions.
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solve the absolute value equation
2 = |x|-1
If you're looking for x, then:
2 = |x|-1
lxl-1 = 2
lxl-1+1=2+1
lxl=3
so x = -3, x=3
60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answer:
800 books
problem solving steps:
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!
Answer:
Its d!
Step-by-step explanation:The answer is D:)
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Solve: 2m³-5m² - 7m = 0
Answer:
m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Step-by-step explanation:
2m³ - 5m² - 7m = 0 ← factor out common factor m from each term
m(2m² - 5m - 7) = 0
factorise the quadratic 2m² - 5m - 7
consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × - 7 = - 14 and sum = - 5
the factors are + 2 and - 7
use these factors to split the m- term
2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )
2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term
(m + 1)(2m - 7)
then
2m³ - 5m² - 7m = 0
m(m + 1)(2m - 7) = 0 ← in factored form
equate each factor to zero and solve for m
m = 0
m + 1 = 0 ( subtract 1 from both sides )
m = - 1
2m - 7 = 0 ( add 7 to both sides )
2m = 7 ( divide both sides by 2 )
m = \(\frac{7}{2}\)
solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)
There are three uncertain (random) variables in this problem. Choose the variables that should represent uncertainty in this model.
a. Yield
b. Initial Research and Development Cost
c. Pre-Orders Picked up
d. What type of fruit to grow
e. Pre-Orders Placed
f. Salvage Price
Answer:
a. Yield
c. Pre-Order picked up
e. Pre-Orders placed.
Step-by-step explanation:
Uncertain random variables are those over which the farmer has no control. These variables are uncontrollable and there can be no prediction for it. The farmer has no control over the yield produced. He can choose what type of fruits to grow and input method but he has no control over output generated.
The Eagles scored (8n – 6) points. The Rockets scored (5n + 4) points. Write an expression to show how many more points the Eagles scored than the Rockets. Then evaluate the expression if n = 7.
Answer:
8N
Step-by-step explanation:
If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?
Answer:
1mph or 1 mile per hour
Step-by-step explanation:
simple
6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers
I think its just 6.60 divided by six, thats how many each one costs, then multiply it by 3
Hope this helps :)
Answer:
3.3
Step-by-step explanation:
because you can divide 6.60 by 6 which is 1.1 then multiply it by 3
name types of angles in geometric figures
Answer:
obtuse angle,acute angle,right angle,straight angle hope it helps
I NEED HELP BY TMRW WILL GIVE THE BRAINLIEST TITLE
The mid points of the four sides of square ABCD are joined to form square WXYZ as shown. The area of square WXYZ is 16. The area of triangle YCX is….
F. 4
G. 2
H. 1.5
J. 1
K. None of these
The area of triangle YCX is given as follows:
G. 2 units squared.
How to obtain the area of the triangle?The area of square WXYZ is 16, hence the side length is given as follows:
s² = 16
s = 4.
Considering the midpoints, we have that the sides of the right triangle are given as follows:
YC = CX = 4/2 = 2
Hence the area of the triangle is given as follows:
0.5 x 2 x 2 = 2 units squared.
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Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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help right answer gets brainiest
a companys stock was selling at $30a share a month later it was $33 a share what is the percent gain
Jessica has a $100 gift card from
Starbucks. She spends $5 each day
until the balance is zero.
Answer:
I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card
Answer:
so she spend $5 for 20 days
Step-by-step explanation:
hope it is helpfull.
please mark me as a brainlist...
pls help 10 ptsss
NO LINKS
Answer:
o to http://
Step-by-step explanation: