Canceling units is also called unit analysis.
This is also called dimensional analysis.
What is a unit of analysis in statistics?
The unit of analysis is the entity that you're analyzing. It's called this because it's your analysis (what you want to examine) that determines what this unit is, rather than the data itself.Because it is the analysis you do in your study that determines what the unit is. For instance, if you are comparing the children in two classrooms on achievement test scores, the unit is the individual child because you have a score for each child.For example -
1 ft = 12 in
3 ft = [tex]3 ft * \frac{12 in }{1 ft}[/tex]
3 ft = ( 3 * 12 ) in ⇒ 36 in
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The lifeguards at the beach post information of surfers by placing 3 flags, one above the other, on a flag pole. If there are 8 different flags available, how many possible signals can be flown?
Answer:
336
Step-by-step explanation:
They can place 1 of 8 frags on the bottom.
Now they have 7 flags left.
They can place 1 of 7 flags in the middle.
Now they have 6 flags left.
The can place 1 of 6 flags on top.
8 × 7 × 6 = 336
What steps do you use to solve y=x+12 and y=-x+17 an unknown number y is 12 more than an u known number x the number y is also x less than 17 the equations to find x and y are show
Answer:
x=2.5
Step-by-step explanation:
Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.
Starting with the equation:
[tex]x+12=17-x[/tex]
Add x to both sides to remove the negative x on the right side of the equation:
[tex]2x+12=17[/tex]
Subtract 12 from both sides to remove the 12 on the left side of the equation:
[tex]2x=5[/tex]
Divide both sides by 2 to cancel out the x coefficient
[tex]x=2.5[/tex]
When the distribution we want to analyze is symmetrical, which of the three averages should we choose to report?
The mean, median, and mode all have the same values in a symmetrical distribution. The mean is frequently chosen as the primary indicator of central tendency in these situations.
The mean is the measure of tendency that is most strongly impacted by any outliers or skewness among the three measures of tendency. The mean, median, and mode all have the same values in a symmetrical distribution. How Does Symmetrical Distribution Work?The mean, median, and mode frequently occur at the same location in a symmetrical distribution, where the values of variables exist at regular frequencies. The graph's middle can be divided into two sides that mirror one another by drawing a line through it.
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Help is needed!!!!! im bad at math :,)
Answer:
Step-by-step explanation:
A= π(5)²
= 3.14(5)²
= 3.14(25)
= 78.5 ans
Rose and Tyler divided their 1.5kg of pizza
dough in the ratio 2:3.
How much did Rose receive?
Answer:
0.6kg
Step-by-step explanation:
first roses share becomes 2:5
then you change the kilograms into grams for an easier working
then you multiply 2:5 by 1500g to get roses share
Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b to complete the solutions.
The roots of the given polynomials exists
[tex]$x=8+\sqrt{10},[/tex] and [tex]$ x=8-\sqrt{10}[/tex]
What is the formula of the quadratic equation?For a quadratic equation of the form [tex]$a x^{2}+b x+c=0$[/tex] the solutions are
[tex]$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
Therefore by using the formula we have
[tex]$x^{2}-16 x+54=0[/tex]
Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get
[tex]$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$[/tex]
simplifying the equation, we get
[tex]$x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1}[/tex]
[tex]$x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1}$[/tex]
[tex]$x=8+\sqrt{10}, x=8-\sqrt{10}[/tex]
Therefore, the roots of the given polynomials are
[tex]$x=8+\sqrt{10},[/tex] and [tex]$ x=8-\sqrt{10}[/tex].
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Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the bird reaches Bob, it turns around immediately and starts flying toward Alice at the same speed, turning around immediately when it reaches Alice, and repeating this procedure until Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the bird has flown, in feet?
The distance the bird has flown by the time Alice and Bob meet is 40 feet.
Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.
Distance equals speed multiplied by time.
Distance between Alice and Bob=1000 feet.
Distance between the bird and Bob=1000 feet.
Speed of Alice and Bob=10 feet per second.
The combined speed of Alice and Bob=20 feet per second.
Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)
The time covered at the meeting point=20 second (1000/50)
Speed of the bird=20 feet per second.
The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).
Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.
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Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane. y > 2x + 4 x + y ≤ 6 I really need help can someone do it a put the prove that they got it right on edmetom the exact graph
The solution to the system of inequalities y > 2x + 4 and x + y ≤ 6 on the coordinate plane is the darker region shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Inequalities is an expression that shows the non equal comparison of two or more numbers and variables.
The solution to the system of inequalities y > 2x + 4 and x + y ≤ 6 on the coordinate plane is the darker region shown in the graph.
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A straight line passes through the points (1,3) and (2,2). What is the x-intercept of this line?
Answer:
x-int: (4, 0)
Step-by-step explanation:
First, we need to find the equation of the line.
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Thus, we need to find the slope first by using the slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\[/tex] or change in y / change in x
So we have: [tex]\frac{3-2}{1-2}=\frac{1}{-1}=-1=m[/tex]
We must plug in the slope to find the y-intercept:
[tex]3=-1(1)+b\\3=-1+b\\4=b[/tex]
So the equation of the line is y = -x + 4
The x-intercept means that the y coordinate is 0 so we can use the equation:
[tex]0=-x+4\\-4=-x\\4=x[/tex]
Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms T or use 3.14 for TT and enter your answer as a decimal
Answer:
Step-by-step explanation:
Area of circle:
area = π · r · r
Radius= [tex]\frac{16}{2}[/tex]= 8
[tex]3.14\times { 8 }^{ 2 }[/tex] = 200.96 [tex]cm^2\\[/tex]
Legs: The two ________ sides of a right triangle; the sides that meet at ___ degrees.
Emma learned in science class that fruit fly populations can increase by about 30% each day.
She found 7 fruit flies on a rotten banana today, and she is curious how many fruit flies could
be on the banana in a few days. You can use a function to approximate the number of fruit
flies on the banana after x days.
Write an equation for the function. If it is linear, write it in the form h(x) = mx + b. If it is
exponential, write it in the form h(x) = a(b)*.
h(x) =
DIO
89
Answer:
[tex]h(x)=7(1.3)^x[/tex]
Step-by-step explanation:
Since this is an exponential equation we will use
[tex]h(x)=a(b)^x[/tex]
[tex]a[/tex] Is your starting value, 7
[tex]b[/tex] Is your percentage of change, remember its not 0.3, as that would hint the population is decreasing by thirds exponentially, instead we will use 1.3 as our percent of change, as the 1 maintains the original value and the 0.3 adds 30%, now all we have to do is put it all together!
[tex]h(x)=7(1.3)^x[/tex]
-5/3×3/8+3/8+6/9+14/3
Answer:
Exact Form:
61/12
Decimal Form:
5.083 with 3 repeating
Mixed Number Form:
5 1/12
Step-by-Step Explanation:
-5/3×3/8 = -5/8
-5/8+3/8= -1/4
-1/4+6/9=5/12
5/12+14/3=61/12
A 3 metre long piece of ribbon is cut into
two pieces in the ratio 3:2.
How long is the shorter piece?
Step-by-step explanation:
3 meters = 300 cm
anyway, the ratio tells us that the whole ribbon can be seen as the combination of 3 + 2 = 5 equally long parts.
one such part is then
3 m / 5 = 0.6 m or 60 cm
the shorter piece is 2 of these parts long :
2 × 0.6 = 1.2 m or 120 cm
Determine what type of model best fits the given situation: water leaking from a local reservior at the rate of 500 gallons per hour.
The type of model that best fits the given situation is; A linear equation Model
What is the model of the equation?Right inside the local reservoir we will have an initial amount of water A.
Now, for every hour that passes by, the amount of water in the reservoir decreases by 500 gals.
Thus, after t hours, the amount of water in the reservoir is expressed as:
W = A - 500gal * t
This is clearly a linear equation model and so we can conclude that the model that fits best in the given situation is a linear model.
The domain of this model is restricted because we can't have a negative amount of water in the reservoir, and as such the maximum value of t accepted is: W = 0 = A - 500gal*t
t = A/500 hours
Therefore, the domain of this linear relation is: t ∈ {0h, A/500 }
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An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed 120 pounds on jupiter. what is the alien's weight on earth? a. 45 pounds c. 500 pounds b. 30 pounds d. 320 pounds
Two circles are shown in the diagram.
Circles C 1 and C 2 are shown. The diameter of circle 1 is 1. The diameter of circle 2 is 2 r.
Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = StartFraction 2 r Over pi EndFraction
Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
The correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]
How to determine the correct equation?The complete question is added as an attachment
The given parameters are:
d1 = 1
d2 = 2r
The circumferences of the circles are calculated as:
C = πd
This gives
C1 = π * 1 = π
C2 = π * 2r = 2πr
So, we have:
C1 = π
C2 = 2πr
and
d1 = 1
d2 = 2r
Divide both equations
[tex]\frac{C_2}{d_1} = \frac{C_2}{d_2}[/tex]
[tex]\frac{\pi}{1} = \frac{2\pi r}{2r}[/tex]
This gives
[tex]\frac{\pi}{1} = \frac{C_2}{2r}[/tex]
Hence, the correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]
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Answer:
Its A
Step-by-step explanation:
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
The equivalent expression of the radical expression ∛1080 is 6∛5
How to evaluate the radical expression?The radical expression is given as
∛1080
Express 1080 as 216 * 5
∛1080 = ∛(216 * 5)
Split the factors
∛1080 = ∛216 * ∛5
Evaluate the cube root of 216
∛1080 = 6 * ∛5
Evaluate the product
∛1080 = 6∛5
Hence, the equivalent expression of the radical expression ∛1080 is 6∛5
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Geometry: fill in the blanks (ASAP! It’s urgent)
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
GeometryFrom the question, we are to fill in the blanks
In ΔBCE, we have that ∠BCE is a right angle
Thus,
a. altitude = CE
Also, we have that
∠EBD ≅ ∠CBD
Thus, BD is a bisector
b. bisector = BD
The exterior angle of the triangle is ∠ABE
c. exterior angle = ∠ABE
From the given information,
BF ≅ EF
∴ F is the midpoint of BE
NOTE: Median is a line segment joining the vertex of one side of the triangle to the midpoint of its opposite side.
The median of the triangle is CF
d. median = CF
The remote interior angles of the triangle are ∠BCE and ∠CEB
e. remote interior angles = ∠BCE and ∠CEB
Hence,
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
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The graph of the function C(x) = −0.74x2 + 22x + 75 is shown. The function models the production cost, C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its production costs under $175,000, then which constraint is reasonable for the model?
If the company wants to keep its production costs under $175,000, then 5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands. This can be obtained by using the given graph of the function.
Which constraint is reasonable for the model:A constraint is a condition of an optimization problem that should be satisfied the condition.
From the we have the function,
⇒ C(x) = −0.74x² + 22x + 75
the production cost C, in thousands of dollars for a tech company to manufacture a calculator, x is the number of calculators produced, in thousands.
In the graph the dotted line is the line where C(x) is $175,000. Above this line every the value is greater than $175,000.
The points where this line, that is C(x) = y = 175, intersect the graph of the given function C(x) = −0.74x² + 22x + 75 is (5.6, 175) and (24.13, 175).
This means that above the point (5.6, 175) the graph has the value greater than 175000 and below the point the graph has the value below 175000.Similarly, below the point (24.13, 175) the graph has the value greater than $175,000 and above the point the graph has the value below $175,000.Therefore, x ≥ 5.6 and x ≤ 24.13
⇒ 5.6 ≤ x ≤ 24.13
Hence if the company wants to keep its production costs under $175,000, then 5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
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Answer:
0 ≤ x < 5.6 and 24.13 < x ≤ 32.82
Step-by-step explanation:
7-3(10 divided by 2) divided by 1
Answer:
-8
Step-by-step explanation:
Remember pemdas
7 - 3*(10:2):1 =
7-3*5:1=
7-15:1=
7- 15=
-8
Answer:
-8
Step-by-step explanation:
7-3(10:2):1
We always solve what's in parenthesies first.
7 - 3*5:1
Multiplication and division have equal priority, so we solve that part from left to right:
7 - 15:1 =
= 7 - 15 =
= -8
The table below shows the depth of water in a bathtub as it is being filled over time. The data can be modeled by a linear equation where x is the elapsed time in minutes and y is the depth of the water in inches. What does the y-intercept of the linear equation that models the data indicate?
The y-intercept of the linear equation that models the data indicates that:
There was 1 inch of water on the tub when the water was turned on.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, when x changes by 1, y changes by 2, hence the slope is of 2. Hence, since when x = 1, y = 3, when x = 0, y = 3 - 2 = 1, which means that the y-intercept is of 1, and the correct interpretation is:
There was 1 inch of water on the tub when the water was turned on.
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Marcus needs to add a query for multiple tables in his database. he is using access 2016. which tab should he use to add the query? home external data create database tools
He is using Access 2016 Database tools are the tab that should he use for the add a query for multiple tables in his database.
What is In databases?Databases and a desk is hard and fast of records elements (values) the usage of a version of vertical columns (identifiable with the aid of using the name) and horizontal rows, the cell being the unit wherein a row and column intersect.
Tables are database gadgets that incorporate all of the records in a database. In tables, records is logically prepared in a row-and-column layout much like a spreadsheet.
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The above question is incomplete:
Marcus needs to add a query for multiple tables in his database. He is using Access 2016. Which tab should he use
to add the query?
Home
External data
Create
Database tools
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what is 3x+4=8 please answer quick
Hello,
[tex]3x + 4 = 8[/tex]
[tex]3x + 4 - 4 = 8 - 4[/tex]
[tex]3x = 4[/tex]
[tex] \frac{3x}{3 } = \frac{4}{3} [/tex]
[tex]x = \frac{4}{3} [/tex]
Can someone help me find the value of x for the triangle?
Answer:
109°
Step-by-step explanation:
The sum of angles in all triangles is equal to 180. For this given triangle, we can solve for x.
48° + 23° + x° = 180°
180° - 71° = x°
x = 109°
PLLLLLEASE T_T PLLLEASE
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
let's solve ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{y - 6} + \cfrac{5}{y + 3} = \cfrac{7y - 4}{ {y}^{2} - 3y - 18} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{4(y + 3) + 5(y - 6)}{(y - 6)(y + 3)} = \cfrac{7y - 4}{ {y}^{2} - 3y - 18} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{4y + 12 + 5y - 30}{ {y}^{2} + 3y - 6y - 18 } = \cfrac{7y - 4}{ {y}^{2} - 3y - 18} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{9y - 18}{ {y}^{2} - 3y - 18 } = \cfrac{7y - 4}{ {y}^{2} - 3y - 18} [/tex]
[tex]\qquad \sf \dashrightarrow \: 9y - 18 = 7y - 4[/tex]
[ denominator is same, so numerator must have same value to be equal ]
[tex]\qquad \sf \dashrightarrow \: 9y - 7y = - 4 + 18[/tex]
[tex]\qquad \sf \dashrightarrow \: 2y = 14[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 7[/tex]
Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
Suppose you set up a function to show how many hot dogs you will purchase for a dinner when you have already bought two packages but must buy more, . What is the domain of this function?
The domain of the function is:
h > 0, only integers.
Then the correct option is the first one.
What is the domain of the given function?For a function f(x), we define the domain as the set of the possible values of x that we can use as inputs in the given function.
Here the function is:
f(h) = 6*h + 12
Where h is the number of packages that you buy.
Then h can be only integers larger than zero (as you can't buy half a package or something like that).
Then we conclude that the correct option is the first option.
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Which expression converts 100 inches per minute to feet per minute? 100 inches/ 1 minute x 60 minutes/ 1 hour
Option ( C ) is correct for this expression . 100 inches Over 1 minute times × 1 foot Over 12 inches.
What is a basic expression?
Expressions are basically the building blocks of Statements, in that every BASIC statement is made up of keywords (like GOTO, TO, STEP) and expressions. So expressions include not just the standard arithmetic and boolean expressions (like 1 + 2), but also values (scalar variables or arrays), functions, and constants.Given that the expression 100 inches.
We need to convert 100 inches per minute to feet per minute.
Since, we know that 1ft = 12 inch
Then,
1 in = 1/12 ft
Now, we shall convert 100 inches per minute to feet per minute.
To convert in/min to ft/min, let us multiply by 1/12
Thus, we have,
[tex]\frac{100 in}{min} * \frac{1 ft }{12 in}[/tex]
Therefore, option ( c ) is correct for this expression .
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The complete question is -
Which expression converts 100 inches per minute to feet per minute?
A) Start Fraction #1 100 inches Over 1 minute End Fraction × Start Fraction 60 minutes Over 1 hour End Fraction
B) Start Fraction #2 100 inches Over 1 minute End Fraction × Start Fraction 1 hour Over 60 minutes End Fraction
C) 100 inches Over 1 minute times × Start Fraction 1 foot Over 12 inches End Fraction
D) 100 inches Over 1 minute times × Start Fraction 12 inches Over 1 foot End Fraction
A conical circus tent has a 20 ft central pole that supports it. the slant height of the tent is 26 ft long. explain how to find the angle the tent pole makes with the sides of the tent.
The angle the pole makes with the tent is 39.7°.
What is an angle?An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles formed by two rays are located in the plane containing the rays.Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.
Let θ represent the angle the pole makes with the tent.
Using trigonometric ratios:
cos(θ) = 20/26θ = 39.7°Therefore, the angle the pole makes with the tent is 39.7°.
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