The total length of the strip of the wood would be =2,267.0 in²
How to determine the length of the strip of the wood?From the reference given above concerning "the story of a battle”, it has the shape of a rectangule. The total length of the strip of wood to be used depends on the area of the rectangular artwork.
Area of a rectangle = length× width.
Where;
Length = 55⅛ in
Width = 41⅛ in
Area = 55⅛ × 41⅛
= 441/8 × 329/8
= 145089/64
= 2,267.0 in²
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I need help please!!!
Answer:
56
Step-by-step explanation:
First you want to multiply -7 and -8. after you do that you'll get your answer of 56 and you can check your answer by doing 56/-7 which equals -8.
Frank has x grapes.
Gabriel has two fewer grapes than Frank.
Himali has five times as many grapes as Frank.
If Gabriel has 6 grapes how many does Hamali have?
Pls give answer and solution as well. Much appreciated
Answer:
40 grapes
Step-by-step explanation:
Since Frank has x grapes,
No. of grapes Gabriel has = (x-2) grapes
No. of grapes Himali has = 5 × x
= 5x grapes
x-2 = 6
x = 6 + 2
= 8
5x = 8 × 5
= 40
Hence, Himali has 40 grapes.
Solve the equation. m + (-22) = -25
Answer:
m=-3
Step-by-step explanation:
move the -22 to the other side by adding 22 on both sides:
m-22+22=-25+22
Simplify:
m=-3
Answer: m=-3
Hope this helps!
20 points!! please help, will give brainliest
Answer:
(-0.8, 2.2)
Step-by-step explanation:
Where the two lines intersect is the solution to the System of Equations.
Answer:
the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left
Achariya is lost. She quickly scans the crowd and decides to ask an elderly woman for directions because she believes the woman will be kind. Which method of problem solving did achariya most likely use?.
Answer:
representative heuristics
Step-by-step explanation:
A 15 meter long cylinder with a diameter of 7 meters has a square prism
with a base length of 4 meters hole going all the way through the center of
it as shown in the diagram (not to scale). Find the volume of the composite
shape rounding to the nearest cubic meter.
Answer:
The volume of the composite figure is approximately 337.27 m³
Step-by-step explanation:
The given parameters are;
The length of the cylinder, L = 15 meters
The diameter of the cylinder, D = 7 meters
The base length of the square prism, B = 4 meters
We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder
Therefore, we have;
The volume of the composite figure = The volume of the cylinder - The volume of the square prism
The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³
The volume of the square prism = B² × L = 4² × 15 = 240 m³
∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³
The volume of the composite figure ≈ 337.27 m³.
Use the puzzle to preview key vocabulary from this unit. Unscramble the letters to create a key vocabulary term use a circle letters to answer the riddle on the bottom of the page
We have found the following Unscramble words which are given below
Rational number, Set, Subset, Vein diagram, INEQUALITY, Integers, Absolute value, Real number.
1) Any number that can be written as a ratio of two integers. -
NIOARTLA
MURNEB
when we Unscramble the word we get a rational number so the circle's word is O
2) Numbers greater than zero
TES
when we Unscramble the word we get Set so the circle T
3) A diagram used to show the relationship between two sets or groups, and when we Unscramble word we get the Vien diagram
4) A mathematical statement that shows two quantities are not equal. -INEQUALITY
5)The set of all whole numbers and their opposites - Integers
6)The distance of a number from zero on the number line - absolute value
7)Numbers less than zero. -real number.
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fin find the average cost of all seats in the theater (round to the hundredths) graph- cost per seat x $5,$10,$15,$20 number of available seats f, 22,14,10,10seats f, 22,14,10,10
The average cost of all seats in the theater is $10.71
How to determine the average cost of all seats in the theater?
Given:
cost per seat x number of available seats f x × f
$5 22 110
$10 14 140
$15 10 150
$20 10 200
.........................................................................................................
Sum 56 600
..........................................................................................................
average cost of all seats = (sum of x × f) /sum of number of available seats
average cost of all seats = 600/ 56 = $10.71
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During a sale, a store offered a 50% discount on a Playstation that was originally priced at $600. After the sale, the discounted price of the Playstation was increased by 35%. What was the price of the Playstation after this increase? *
Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the preimage are (2, 2), (6,8), (12,8), and (16, 2). The coordinates
of the image are (11, 15), (9, 12), (6, 12), and (4, 15). What is the scale factor of the dilation?
OA 0.25
OB. 0.33
OC 0.5
OD 0.75
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dmentum. All rights reserved
acer
Answer:
C. 0.5Step-by-step explanation:
Plot the coordinates and connect to get the figures.
See attached
Find the length of the corresponding sides and divide to find the scale factor:
d₁ = 12 - 6 = 6 (points with same y- coordinate of 8)d₂ = 9 - 6 = 3 (points with same y- coordinate of 12)The scale factor is:
k = d₂ / d₁ = 3/6 = 0.5Correct choice is C
Answer:
The guy above is right, the scale factor of the dilation is C. 0.5.
Hope this helps!
Step-by-step explanation:
Linda hears a story on National Public Radio stating that one in six eggs in the US are contaminated with Salmonella. If Salmonella contamination occurs independently within and between egg cartons and Linda makes a three-egg omelet, what is the probability that her omelet will contain at least one Salmonella-contaminated egg?
The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.
We have,
To calculate the probability that Linda's omelet will contain at least one Salmonella-contaminated egg, we can use the concept of complementary probability.
The complementary event to "at least one Salmonella-contaminated egg" is "no Salmonella-contaminated eggs."
The probability of no Salmonella-contaminated eggs in a three-egg omelet is (5/6) x (5/6) x (5/6) since each egg has a 1/6 probability of not being contaminated.
Therefore,
The probability of at least one Salmonella-contaminated egg is:
= 1 - (5/6) x (5/6) x (5/6)
= 91/216 or approximately 0.4213.
Thus
The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.
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Data analysis and probability unit test
Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.
The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.
Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.
The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.
The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.
They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.
Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.
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Let's convert the following quinary numbers into decimal numbers.
1) 14
2)23
3)43
4)214
5)431
6)1423
Answer:
9
13
23
59
116
238
Step-by-step explanation:
1) 14
1 × 5^1 + 4 × 5^0 = 9
2) 23
2 × 5^1 + 3 × 5^0 = 13
3) 43
4 × 5^1 + 3 × 5^0 = 23
4) 214
2 × 5² + 1 × 5^1 + 4 × 5^0 = 59
5) 431
4 × 5² + 3 × 5^1 + 1 × 5^0 = 116
6) 1423
1 × 5³ + 4 × 5² + 2 × 5^1 + 3 × 5^0 = 238
I'm confused pls tell me what 2x - 3 = 1 is
Answer:
x=2
Step-by-step explanation:
2x-3=1
then you want to add 3 to both sides
2x=4
divide both sides by 2 to get x by it self
x=2
Can u help me plssss?????
Answer:
The answer is (-40)
Step-by-step explanation:
°F = 1.8C + 32
°F = 1.8(-40) + 32
°F = -72 + 32
°F = -40°
Thus, At (-40) where degrees Fahrenheit and degrees Celsius is same.
-TheUnknownScientist 72
Find x in this geometry question
Answer:
AB || CE, so we have triangle DEO, two of whose angles are 100° and 26° (from point D, draw DE such that CD + DE = CE intersects BO). The third angle of this triangle measures 54°, so
x = 180° - 54° = 126°.
A 90% confidence interval is constructed based on a sample of data, and it is 74% +3%. A 99% confidence interval based on this same sample of data would have: A. A larger margin of error and probably a different center. B. A smaller margin of error and probably a different center. C. The same center and a larger margin of error. D. The same center and a smaller margin of error. E. The same center, but the margin of error changes randomly.
As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.
Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.
What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.
The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula
.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.
When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.
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A circle has central angle and its arc length is units. The radius of the circle is
Answer:
3
Step-by-step explanation:
-2/3 -5x
What is the slope of the line represented by the equation y
Step-by-step explanation:
y = -2/3 - 5x
rearranging,
y = -5x -2/3
comparing to the gradient-intercept equation
y = mx + c
m = -5
c = -2/3
Therefore, the slope of the line is -5
Answer: -5
Step-by-step explanation:
Because you know that y=Mx+p right?
So you just take the equation : -2/3-5x and you know that the number before x is m = the slope . Have a nice rest of your day :)
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
Find the total surface area of this cone.
Leave your answer in terms of 7.
12cm
5cm
SA = [?]7 cm2
Hint: Surface Area of a Cone = tre + B
Where e = slant height, and B = area of the base
Answer:
Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' = \(\sqrt{AB^2+BC^2}\)
= \(\sqrt{h^2+r^2}\)
= \(\sqrt{5^2+(12)^2}\)
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.
If you start with a number, Subtract 4,Muliply by 4,add six, and then divide by 2, the results is 10 What is the number?
Can ypou help me on my question?
write an equation of a line with the given slope and y intercept m =1/4,b=-3/4
Answer: y=1/4x-3/4
Step-by-step explanation:
We have our equation of a line formula y=mx+b
Then we substitute the given and get y=1/4x-3/4
What shape is the king of the quadrilaterals?
Square is consider as the king of all the quadrilaterals.
Explanation:
Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.Square is consider as the king of all the quadrilaterals:
Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.Therefore, square shape is consider as the king of all the quadrilaterals.
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A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
Answer:
4/10 = 2/5 = 40%
Step-by-step explanation:
Q,R,S,T = 4
Q R S T U V W X Y Z =10
Caleb purchased video games for $45 each. He bought $540 worth of video games. If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?
Answer:
y=45x-540
Step-by-step explanation:
A square room has a floor area of 16 square meters, the height of the room is 5 meters, what is the area of all 4 rooms?
The area of all four room is 54 square meters
What is the total area?A square is a quadrilateral with four equal sides and four equal angles. The diagonals bisect each other at 90°.
Area of the four rooms = area of one room x 4
= 16 x 4 = 54 square meters
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Answer:
Step-by-step explanation:
the answer is 80. (no questions asked)
Which value could be substituted for the variable to make the equation
TRUE? w-11 =15
Answer:
26 - 11 = 15
Step-by-step explanation:
write the equation in slope intercept-form for the line that passes through (0,-7) and (10,3)
solve 7y 4/y 2 = -4/3
Answer:
Step-by-step explanation:
(7y+4)/(y+2)=-4/3
\(\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\\)
Cross multiply,
(7y + 4) * 3 = -4*(y+ 2)
Use distributive property,
7y*3 + 4*3 = -4*y + 2*(-4)
21y + 12 = -4y - 8
Subtract 12 from both side
21y = -4y - 8 - 12
21y = -4y - 20
21y + 4y = -20
25y = -20
y = -20/25
\(y=\dfrac{-4}{5}\)
\(\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}\)
\(\\ \sf\longmapsto 3(7y+4)=-4(y+2)\)
\(\\ \sf\longmapsto 21y+12=-4y-8\)
\(\\ \sf\longmapsto 21y+4y=-8-12\)
\(\\ \sf\longmapsto 25y=-20\)
\(\\ \sf\longmapsto y=\dfrac{-20}{25}\)
\(\\ \sf\longmapsto y=\dfrac{-4}{5}\)