Answer:
12n is the answer because 12 is and n if we multiply both of them it will be 12n.
Answer & Step-by-step explanation:
1. 3n= 12 divided 3 on both sides
n= 4
2. 6n=12 divide 6 on both sides
n= 2
3. 12n=12 divide 12 on both sides
n= 1
4. 5n = 12 divided 5 on both sides
n = 1.4
5. 8n=12 divide 8 on both sides
n= 1.5
Water leaking onto a floor forms a circular pool. The circumference of the pool increases at a rate 24 cm/min. How fast is the area of the pool increasing when the radius is 5 cm
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
How quickly does the pool's area grow when the radius is 5 cm?Given:
radius of the pool increases at a rate of 24 cm/min
To Find:
How quickly does the pool's area grow when the radius is 5 cm?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A = πr²-----------------------------(1)
The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
dA/dt =π 2r dr/dt
we have to find dA/dt with dr/dt = 24 cm/min and r = 5cm
substituting the values
dA/dt = π 2(5)24
dA/dt = π 26*8
dA/dt = π 240
dA/dt =240π
dA/dt = 753.98
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
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Which milk product will have approximately 15.36 grams of milk fat in an 80-gram serving?(Heavy Cream: 36.7%, Light Cream 19.2%, Whole Milk 3.5%, Low-Fat Milk 1.5%, Skim Milk 0.05%)
The Light cream with 19.2% content will have 15.36g of milk.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here Light cream as 19.2% of 80g
∴ 0.192×80=15.36g
Hence, The Light cream with 19.2% content will have 15.36g of milk.
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Mia brought n shirts that were originally priced at $26.99 each shirt was on sale for $5.99 off the original price that she bought them which expression can be used to find the total sale price of n shirts
The total sale price of n shirts can be found using the following expression:
total sale price = n * (26.99 - 5.99)
This expression first calculates the sale price of a single shirt by subtracting the discount from the original price, and then multiplies that value by the number of shirts to get the total sale price.
For example, if Mia bought 3 shirts, the total sale price would be 3 * (26.99 - 5.99) = 3 * 21 = 63.
A store creates a mixture using only peanuts and almonds.
There are 20 pounds of the mixture.
Peanuts cost $2. 95 per pound.
Almonds cost $5. 95 per pound.
The mixture costs $4. 00 per pound.
How many pounds of peanuts are in the mixture?
There are 13 pounds of peanuts present in the mixture.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.
Let's consider Almonds be a and Peanuts be p.
from given conditions,
a + p = 20
and 5.95 a + 2.95 p = 4(20)
5.95 a + 2.95 p = 80
take, a = 20 - p
5.95 (20 - p) + 2.95 p = 80
119 - 5.95 p + 2.95 p =80
119 - 3 p = 80
3p = 39
p = 39/3
p = 13
Therefore, there are 13 pounds of peanuts present in the mixture.
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can someone please help me ( check the link for the question
The equation of the line that passes through the point (3, 2) and is perpendicular to 3x + 5y = 15 is y = (5/3)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line is y = m(1)x + c
The line passes through (3, 2) and is perpendicular to 3x + 5y = 15.
This means,
3x + 5y = 15
5y = -3x + 15
y = (-3/5)x + 3
m(2) = (-3/5)
Now,
m(1) x m(2) = -1
m(1) = -1 / ((-3/5)
m(1) = 5/3
Now,
(3, 2) = (x, y)
y = m(1)x + c
2 = (5/3) x 3 + c
2 = 5 + c
c = 2 - 5
c = -3
Thus,
The equation of the line is y = (5/3)x - 3.
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Does 4 8 12 make triangles?
No, a triangle with side length 4 units, 8 units , and 12 units does not exist.
As given in the question,
Let us consider the triangle be ABC,
Side length of the triangle are given as follow:
AB = 4units
BC = 8units
CA = 12units
Triangle inequality for the given triangle ABC is given by:
AB + BC > CA
AB + CA > BC
CA + BC > AB
To check whether the given side length forms a triangle apply triangle inequality we get,
AB + BC
= ( 4 + 8 )units
= 12 units
= CA
Here triangle fails.
Therefore, the given side length does not forms a triangle.
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The scores on the last math quiz are summarized in the following frequency table:
Score
10 9
8
7
6
4 3 2 1 0
7
5
3 2
1
0
0
10
0
Frequency 6
The information is then put into the following histogram:
Frequency
5
4
3
210
1 2 3 4 5 6 7 8 9 10
5
1
Score
Therefore , the answer to the above problem is 5.75 for the mean and 9 for the median.
What is mean?Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the amount of values present in the dataset by its total number of values in the data. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the integers in a data set and dividing the total by the total number of numbers. For example, in the data below
Here,
Spread it all out here first:
4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10
The mean is calculated by dividing total total by the total number of scores. Add up each number.
There are 16 numbers total, and they add up to 92. 92 / 16 = 5.75
To get the median, identify the middle number among all the other numbers.
Sadly, there is no "center number" given that there are 16.
Add the ninth and eighth numbers together, then divide by to find the middle.
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To get an A in her math class, Jada needs to have at least 90% of the total number of points possible. The table shows Jada’s results before the final test in the class.
1. ) Does Jada have 90% of the total possible points before the final test? Explain how you know.
2. ) Jada thinks that if she gets at least 92 out of 100 on the final test, she will get an A in the class. Do you agree? Explain
1) Jada does not have 90% of the total possible points before the final test.
2) If Jada gets at least 92 out of 100 on the final test, she will not get an A in the class.
From the following table of Jada’s results before the final test in the class the total number of points possible:
150 + 100 + 100 + 100 = 450
And Jada’s total points before the final test:
141 + 87 + 81 + 91 = 400
To check whether Jada have 90% of the total possible points before the final test, we find the percentgae of Jada’s total points.
(400/450) × 100 = 88.89%
This means, Jada does not have 90% of the total possible points before the final test.
After final test, the total number of points possible: 450 + 100 = 550
And if she gets at least 92 out of 100 on the final test, her total points would be,
400 + 92 = 492
And the percentgae of Jada’s total points would be,
(492/550) × 100 = 89.45%
Given that Jada needs to have at least 90% of the total number of points possible.
so, she will notl get an A in the class.
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Hence, The equation of the line is y=5x/3-3
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The line 3x+5y=15 , Rearranging in the slope intercept form we get y=-3x/5+3 and thus slope of the line that is perpendicular to this line must be equal to 5/3 and it passes through (3,2) then we get the equation of the line as y=5x/3+c and putting (3,2) in the equation we get the value of c as c=-3
∴ The equation of the line is y=5x/3-3
Hence, The equation of the line is y=5x/3-3
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The probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.
What are the odds that a carton of eggs will have at least one cracked egg?
Answer: The odds of an event happening are the ratio of the number of ways the event can happen to the number of ways it cannot happen.
Odds = (probability of success) / (probability of failure)
In this case, the event is that a carton of eggs will have at least one cracked egg.
The probability of success (the event happening) is 2.5%
The probability of failure (the event not happening) is 100% - 2.5% = 97.5%
so we can find the odds by dividing the probability of success by the probability of failure.
Odds = 2.5 / 97.5 = 0.025/0.975 = 1/39
So the odds that a carton of eggs will have at least one cracked egg is 1:39, meaning that for every 39 cartons that are free of cracked eggs, one carton will have at least one cracked egg.
It means that it's 1 in 39 chance that a carton of eggs will have at least one cracked egg
Step-by-step explanation:
A white cylindrical silo has a diameter of 30 feet and a height of 80 feet. A red stripe with a horizontal width of 3 feet is painted on the silo, as shown, making two complete revolutions around it. What is the area of the stripe in square feet
The provided solution says that
The cylinder can be "unwrapped" into a rectangle, to get a stripe that is a parallelogram with base 3 and height 80.
However, I don't understand how the height of the stripe can be eighty. The distance from the top of the cylinder to the bottom is 80 feet as given, so how can a winded stripe that goes around be also 80 feet? Isn't the shortest distance, 80 ft, simply from the top to the bottom? How does a winded spiral also become 80 feet ?
The stripe's area in square feet is 240 square units.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
The cylinder can be "unwrapped" into a rectangle, and we see that the stripe is a parallelogram with base 3 and height 80.
area=3*80
=240 square units.
the area of the stripe in square feet is 240 square units.
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Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.60 per pound, and type B coffee costs $4.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $451.20. How many pounds of type A coffee were used?
Answer: hi
11,28 pound / usd
Step-by-step explanation:
Naomi'sbillforlunchatarestaurantwas$46.Sheleftan18%tip.Whatwastheamountofthetip?
Answer:
$8.28
Step-by-step explanation:
0.18*46=8.28
HELP 50 points :D
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
__/__
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.(1 point)
$___ for each silver ticket and $___ for each gold ticket
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.
To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.
Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.
How calculate the cost?2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
The reciprocal of the fraction 2/3 is 3/2
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
Let's call the cost of a silver ticket x.
The cost of a gold ticket is x + 8.
We know that Patrick spent 10x + 10(x+8) = $140
We can simplify that: 10x + 10x + 80 = 140
Then we have 20x + 80 = 140
Then we have 20x = 60
And x = 3
Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.
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Determine and state an equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12)
The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The line 5x-4y=10.
Simplifying,
y = (-5/4)x + 5/2
Comparing with the slope-intercept form,
y = mx + b,
where m is the slope and b is y-intercept.
The slope is = -5/4
The slope of the perpendicular line,
= negative reciprocal of the slope of the line where the line is perpendicular.
= 4/5
So, the line:
If a line passes through one point (x₁ ,y₁) and have slope m,
then the equation of line is
y - y₁ = m (x - x₁)
y - 12 = (4/5)(x-5)
y = 4x/5 + 8
Therefore, the equation of the line is y = 4x/5 + 8
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A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?
Answer:
37,349
Step-by-step explanation:
month 1
27870 x .05 = 1394
27870 + 1394 = 29264
month 2
29264 x .05 = 1463
29264 + 1463 = 30727
month 3
30727 × .05 = 1536
30727 + 1536 = 32263
month 4
32263 x .05 = 1613
32263 + 1613 = 33876
month 5
33876 x .05 = 1694
33876 + 1694 = 35570
month 6
35570 x .05 = 1779
35570 + 1779 = 37349
Answer:
35,570
Step-by-step explanation:
solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.
1. 27870*1.05= 29,263.5
2. 29263.5*1.05=30726.675
3.repeat
4.repeat
5.repeat
6.repeat
if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)
1. 27870÷10= 2,787
2. 2787÷2= 1393.5
3. 27870+1393.5 = 29263.5
solution 2 -Fast but probably needs a calculator
1. 27870*1.05^(5)= 35570
1.05 = monthly increase
power of 5 = ^(5) = 6 months - 1 = 5
A guy wire attached to the top of a radio antenna
is bolted to the ground 48 m from the base of
the tower. If the wire makes an angle of 14°
with the ground. What is the length of the
guy wire? Round your answer to the nearest
hundredth of a meter.
1
The length of the guy wire is 48.87 m.
How to find the length?To find the length of the guy wire, you can use the formula for the length of a side of a right triangle (the Pythagorean theorem): [tex]c = sqrt(a^2 + b^2)[/tex]. In this case, c is the length of the guy wire, a is the distance from the base of the tower to the point where the guy wire is attached to the ground (48 m), and b is the distance from the point where the guy wire is attached to the ground to the top of the antenna.
To find b, you can use the tangent function: [tex]tan(14°) = b / 48.[/tex]
Solving for b gives b = 6.78 m
Then, length of wire can be calculated as
[tex]c = sqrt(48^2 + 6.78^2)[/tex]
[tex]c = 48.87 m (approx)[/tex]
Rounding it to the nearest hundredth of a meter, the length of the guy wire is 48.87 m.
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need help with these three
Math Subject: Symmetry.
Question is attached below.
The term "line of symmetry" refers to the fictitious axis or line that you fold a figure along to create its symmetrical halves.
What is Symmetry?A definition of symmetry states that whether one form is moved, rotated, or flipped, it looks precisely like the other shape. Just fold the paper, draw one-half of the heart at the fold, then cut it out to discover that the second half precisely matches the first half when you are instructed to cut out a "heart" from a sheet of paper. The heart-shaped carving is an illustration of symmetry.
Symmetry is defined in mathematics as "a mirror image." Symmetry is the property of an image that remains unchanged after a form has been rotated or flipped. There are patterns in it. In daily life, you may have heard the word "symmetrical" frequently. One half of a thing is the mirror image of the other half, which is a balanced and proportionate likeness. Asymmetrical refers to a form that is not symmetrical. In nature, architecture, and the arts, symmetrical things are all around us.
The term "line of symmetry" refers to the fictitious axis or line that you fold a figure along to create its symmetrical halves. In essence, it splits one thing into two mirror images. The symmetry line may run vertically, horizontally, or diagonally. There might be one or many symmetry lines.
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Answer:
1. Choose Your Shape: Start with a shape that you want to create a line of symmetry for. It could be a simple shape like a square, rectangle, or triangle.
2. Draw the Shape: Draw the shape neatly on a piece of paper using a pencil.
3. Identify the Line of Symmetry: Decide where you want to place the line of symmetry. This line should divide the shape into two equal halves.
4. Draw the Line of Symmetry: Draw a straight line through the center of the shape, from one side to the other. Use a ruler to ensure the line is straight and passes through the center.
5. Create the Mirror Image: To create the mirror image on the other side of the line, imagine that the line is a mirror. Reflect each point on one side of the line to the other side while maintaining the same distance from the line. You can also use a ruler or straightedge to guide you as you draw.
6. Check for Symmetry: Carefully examine both sides of the line to make sure they are mirror images of each other. The distances and angles should match.
7. Finalize the Drawing: Once you're satisfied with the symmetry, trace over your pencil lines with a pen or darken them to make your drawing more prominent.
8. Erase Construction Lines: Gently erase any construction lines or guidelines you drew in the earlier steps.
what is (-5q-8) - (q+3)
The answer would be −6q−11
Answer:
-6q-11
Step-by-step explanation:
Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?
Santiago can make 7 dumplings
To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).
To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:
5 11/16 = (5 * 16) + 11/16 = 80 + 11/16
Now we can divide:
(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13
So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.
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Graph the solution to this inequality on the number line.
-4x> 8.4
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3
The Graph solution to this inequality on the number line is lies between -4 > 8.4 and their numbers are -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3.
How do you graph an inequality's solution on a number line?Draw a circle around the number to indicate an inequality, such as x>3, on a number line (e.g., 3). In case the sign also states equal to, complete the circle (or ). If the sign doesn't include equal to (> or), leave the circle empty.
How would one graph an inequality?When plotting an inequality, use the,, >, or sign as a = sign. If the inequality is either or, graph the equation as a dotted line. If the inequality is either or, graph the equation as a solid line.
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5. Refer to the figure below. (show work)
Given: UVWX is a parallelogram, m
A. Find m
B. Find UV.
C. Find m
D. Find YW.
Answer:
see explanation
Step-by-step explanation:
A
∠ UVX and ∠ WXV are alternate angles and are congruent , then
∠ UVX = ∠ WXV = 15°
∠ WVU = ∠ WVX + ∠ UVX = 24° + 15° = 39°
B
opposite sides of a parallelogram are congruent , then
UV = XW = 36
C
consecutive angles are supplementary , sum to 180° , then
∠ XUV + ∠ WVU = 180° , so
∠ XUV + 39° = 180° ( subtract 39° from both sides )
∠ XUV = 141°
D
diagonals bisect each other , so
YW = UY = 10
A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?
The expression that correctly shows the amount remaining in the piggy bank will be; 22d + 7n + 15q - (8d + 3n) = $4.85
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels.
LEt consider
→ dimes = d
→ nickels = n
→ quarters = q
Now the expression will be;
22 dimes + 7 nickels + 15 quarters - 8 dimes - 3 nickels
22d + 7n + 15q - 8d - 3n = $4.85
22d + 7n + 15q - (8d + 3n) = $4.85
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Graph the line with slope of 3/4 passing through the point (-1, 2)
Answer:
Step-by-step explanation:
A certain psychological test measures empathy and
emotional intelligence. The score, S, of a randomly
selected senior student at a large university has a mean
of 123 and a standard deviation of 29. The score, F, of a
randomly selected first-year student at a large university
has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one
first-year student. We can consider Sand F to be
independent random variables.
As per the given standard deviation, the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair is 0.72
Here we have given that the score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29.
And the score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Then the probability is calculated as,
=> 123/104
=> 1.182
Where as the based on the standard deviation, the value is calculated as
=> 29/34
=> 0.852
Then the total probability of the given situation is calculated as,
=> 0.852/1.182
=> 0.72
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Is Y =- 2 vertical or horizontal?
y = − 2 is a horizontal line that crosses the -axis at -2.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The given equation is Y = -2
y = 2 is a horizontal line that crosses the -axis at 2.
=> y = − 2 is a horizontal line that crosses the -axis at -2.
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Is the Z or Y axis vertical?
Answer:
yes!
Step-by-step explanation:
the y axis vertical, and the x axis is horizontal!
The diameter of the cylinder barrel was 20 in. When the barrel was lifted away it left an imprint of a circle on the ground. What is the area of the circle?
The area of the circle is 1256.64 square inches.
What is a Circle ?All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
A closed 2D form that isn't a polygon is a circle. It has one face that curves.If two circles have the same radius, they are said to be congruent.Equal chords are always located equally from the circle's center.The center of the circle is the perpendicular bisector of a chord.The line joining the points of two overlapping circles will be perpendicular to the line joining the points of the circles' centers.The tangents drawn at the diameter's endpoints are perpendicular to one another.One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
The diameter of the cylindrical barrel is 20 in
So the diameter of the circular base is 20 in = 10 inches in radius.
Area of the circle = [tex]\pi\ r^{2}[/tex] = π*20*20 = 1256.64 square inches.
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Use the graph of the function to find the domain and range of f (Enter your answers using interval notation)
In the given graph the domain and range of function y=f(x) is
Domain: (-2,2]
Range : [-4, 5)
What is domain and range?A function's domain is the set of all possible inputs to the function. This means it can be any number that can be entered into a function. For the majority of functions, this will be any number that can be substituted for the letter x. Except for a few exceptions such as square root functions and rational numbers, your domain will almost always be all real numbers.
The set of all possible outputs of a function is referred to as its range. This is usually represented by the letters y or f(x). The range is any number obtained by substituting any number for x.
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