Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6
1. Marital status of nurses in a hospital-qualitative
2. Time it takes to run a marathon-quantitative
3. Weights of lobsters in a tank in a restaurant- quantitative
4. Colors of automobiles in a shopping center parking lot- qualitative
5. Ounces of ice cream in a large milkshake- quantitative
6. Capacity of the NFL football stadiums -qualitative
7. Ages of people living in a personal care home- quantitative
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
learn more about of variable here
https://brainly.com/question/17344045
#SPJ4
Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3. 50 per pound and she has a coupon for $2. 50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Ai Mi have to pay $10.50 to buy 3 pounds of chicken.
An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Cost = (3.5 * pp) - 2.5
The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50
With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.
The expression for the cost to buy pp pounds of chicken:
Cost = (3.5 * pp) - 2.5
Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.
Learn more about expressions here: https://brainly.com/question/1859113
#SPJ4
Find the EXACT values of ALL SIX trigonometric functions of θ(sin, cos, tan, cot, sec, csc) from the information given. (a) cosθ=7/12, sinθ<0 (b) tanθ=4/3, θ in Quadrant III
(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:
sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)
tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)
cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))
secθ = 1 / cosθ = 1 / (7/12) = 12/7
cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)
(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:
cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5
sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5
cotθ = 1 / tanθ = 1 / (4/3) = 3/4
secθ = 1 / cosθ = 1 / (3/5) = 5/3
cscθ = 1 / sinθ = 1 / (4/5) = 5/4
What is trigonometric functions?Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.
The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.
Learn more about Trigonometric functions in brainly.com/question/29156330
#SPJ1
How do you find height of a triangle when base is given to you?
The height of a triangle can be found using the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Therefore, the height of a triangle can be found by rearranging the formula to height = (2 * area) / base.
To find the height of a triangle when the base is given, first use the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Next, rearrange the formula to height = (2 * area) / base so that the height can be found by dividing the area by the given base. Once the area is known, the height can be found by plugging the area and base into the rearranged formula. For example, if the base of a triangle is 8 and the area is 12, then the height of the triangle can be found by dividing 12 by 8, which is equal to 1.5. Therefore, the height of the triangle is 1.5.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
vivian and her dad drive from Boston to niagara falls it takes them 9 hours to drive 495 miles what is their driving rate in miles per hour.
Answer:
55 miles per hour
Step-by-step explanation:
The equation is:
R = d / s
We know
d = 495 miles
s = 9 hours
Let's solve
R = 495 / 9
R = 55 miles per hour
So, their driving rate is 55 miles per hour
What will be the simplified form of 21b − 32 7b − 20b?
The simplified form of 21b − 32 7b − 20b would be 8b - 32.
Reducing an equation is a technique for rewriting it in a more straightforward format. Although some mathematical equations are not in the form of linear equations, they can be converted into linear equations by applying certain mathematical operations to them. These equations can be easily solved after being reduced to linear form, and the value of the unknown can be determined.
21b – 32 + 7b – 20b
= 21b + 7b – 20b – 32
= 28b – 20b – 32 = 8b – 32
21b - 32 + 7b - 20b
= 21b + 7b - 20b -32
= 8b - 32
=8b - 32.
Learn more about simplification at;
https://brainly.com/question/19247384
#SPJ4
Two radar stations 4.3 miles apart are tracking an airplane. The straight-line distance between
Station A and the plane is 9.6 miles. The straight-line distance between Station B and the plane is 8.6
miles. What is the angle of elevation from Station A to the plane? Round the distance to the nearest
degree.
9.6 ml
Ad
4.3 mi
8.6 mi
B
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
What is trigonometry?The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.
Here,
given :
An aircraft is being followed by two radar stations, which are 4.3 miles apart.
Station A is 9.6 miles away from the plane in a straight line.
Thus,
To find the angle of elevation from station A to plane :
Using Trigonometric ratios:
=> Sin A = 8.5 / 9.6
=> Sin A = 85/96
=> A = [tex]Sin^{-1}[/tex](85/96 )
=> A = 62.302840124651483 °
=> A = 62.3°
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
To know more about trigonometry visit:
https://brainly.com/question/29002217
#SPJ1
In the scale drawing below, 1 cm
represents 2 m.
a) What is the width, in metres, of the
building in real life?
b) The real building is 4.6 m tall. What is
the height of the drawing of the building,
in centimetres?
0
cm
1
2 3 4
5
6
7
8
זייןיייןיי
9 10
A) 13 meters
B) 2.3 centimeters
=================================================
Work Shown:
Part A
The ruler diagram shows the building on paper is 6.5 cm wide. The right side of the building lines up with the midpoint marker between 6 and 7.
1 cm = 2 m
6.5*(1 cm) = 6.5*(2 m)
6.5 cm = 13 m is the width of the building in real life
Or you can solve it like this
(1 cm)/(2 m) = (6.5 cm)/(x meters)
1/2 = 6.5/x
1*x = 2*6.5
x = 13
------------------------
Part B
(1 cm)/(2 m) = (x cm)/(4.6 m)
1/2 = x/4.6
1*4.6 = 2*x
4.6 = 2x
x = 4.6/2
x = 2.3 centimeters is the height of the building in the drawing
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.
To know more about area,
https://brainly.com/question/22469440
#SPJ4
What will be the output of 7 by 2?
The resultant output of the given question is 7 by 2 is 14.
This is because 7 multiplied by 2 is equal to 14
When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.
Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.
Hence the correct answer to the given question is 14 .
To know more about multiplication here
https://brainly.com/question/27646651
#SPJ4
What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?
The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.
The given question is in the form of an equation.
let's try to understand what is an equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,
the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
There are so many types of equations present linear equations, quadratic equations, and cubic equations.
According to the degree of the equation so many different types of equations.
2x^2 + x -a + 4 = 5 put x = 0.
2*0 + 0 - a + 4 = 5
-a + 4 = 5
-a = 5 - 4
-a = 1
a = -1.
So the value of a is -1.
Given Question is incomplete complete question here
What should be the value of a if the value of 2x^2 + x -a + 4 equals to 5 when x =0.
To know more about equations here:
https://brainly.com/question/14410653
#SPJ4
Solve for x.
3 1/2 ≥ 1.4x
A. x ≥ 2 1/2
B. x ≤ 2 1/2
C. x ≥ 4 9/10
D. x ≤ 4 9/10
To solve for x, we need to get x by itself on one side of the equation. To do this, we can start by subtracting 1.4x from both sides of the equation. This gives us:
3 1/2 - 1.4x ≥ 0
Next, we can simplify the left side of the equation to get:
7/2 - 7/5x ≥ 0
Now we can divide both sides of the equation by -7/5 to get:
-5/2x ≤ -7/2
Finally, we can multiply both sides of the equation by -2/5 to get:
x ≥ 4 9/10
Therefore, the solution is x ≥ 4 9/10, which corresponds to answer choice C.
Answer:
x ≥ 4 9/10 C:)
Step-by-step explanation:
A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?
Answer:
Below
Step-by-step explanation:
How many times will the colony double ? 124 / 31 = 4 times
2^4 * 100 000 = 1 600 000
BRAINLIEST IF U MAKE UR OWN AND ORIGINAL ANSWER!
Question 2(Multiple Choice Worth 1 points)
(01.06 MC)
An equation is shown:
−np − 6 = 3(c − 5)
Which of the following solves for n?
n = the quantity 3 times c minus 21 all over negative p
n = the quantity 3 times c minus 9 all over negative p
n = the quantity 3 times c minus 21 all over p
n = the quantity 3 times c minus 9 all over p
Answer:
Option 2
Step-by-step explanation:
Hello!
We can solve the equation for n by isolating the variable.
Solve for n:-np - 6 = 3(c - 5) Add 6 to both sides-np = 3(c - 5) + 6 Divide both sides by p-n = [tex]\frac{3(c - 5) + 6}{p}[/tex] Expand the parenthesis-n = [tex]\frac{3c - 15 + 6}{p}[/tex] Combine Like terms-n = [tex]\frac{3c - 9}{p}[/tex] Divide both sides by -1n = [tex]-\frac{3c - 9}{p}[/tex]The answer would be the second option: "n = the quantity 3 times c minus 9 all over negative p."
write an equation that represents the relationship between x and y shown in the table
An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
Read more on slope here: brainly.com/question/23086745
#SPJ1
HELP PLSSS I NEED THIS QUICK!!!!!
Answer: Its B
Step-by-step explanation:
What is the y-intercept of the line?
b=?
Answer:
2
Step-by-step explanation:
look at where it intersects the line that goes straight up
A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary.
$1553.91
Step-by-step explanation:
839.95 ×.85 = 713.96
839.95 + 713.96 = 1553.91
Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane
By simple algebra, Jane is 57 9/20 inches taller.
In math, what does taller than mean?If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.
You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:
54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.
Dwight stands at 56 1/4 inches.
Dwight is 1 1/5 inches shorter than Jane, so
56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.
Jane stands at 57 9/20 inches.
To know more about algebra visit:-
brainly.com/question/24875240
#SPJ4
Determine the missing angle measure.
Answer:
19°
Step-by-step explanation:
In this problem, we have complementary angles, which add up to 90° as indicated by the right angle symbol. So, getting x° is as simple as 90°-71°=19°.
A line is drawn so that is passed through the points (2, -1) and (0, 5). What is the slope of the line
If a line is drawn so that it passes through the point [tex](2,-1)[/tex] and [tex](0,5)[/tex] , then slope of line is -3 .
What is Slope ?
The slope of a line is defined as measure of steepness and direction of line. The slope of line in a plane help in predicting whether lines are parallel, perpendicular, or none without using a compass.
The slope of line passes through points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is calculated by formula ⇒ [tex]Slope = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] ;
the points are given as [tex](2,-1)[/tex] and [tex](0,5)[/tex] ;
So , on substituting the values in the slope formula ,
we get ;
[tex]Slope = \frac{5 -(-1) }{0 -2 }[/tex] ;
= [tex]\frac{6}{-2}[/tex]
= -3 .
Therefore , the required slope of the line is -3 .
Learn more about Slope here
https://brainly.com/question/9510559
#SPJ4
For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k . A polynomial is an equation that combines variables, constants .
what is polynomial ?Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).
given
−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k
f(−2)=0
∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0
=>12−8+2k=0
=>2k=−4
=>k=−2
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k .
To know more about polynomial visit :-
brainly.com/question/11536910
#SPJ4
Is 2x 3 a linear equation in two variables?
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
A linear equation is defined.A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.
Here,
Given : 2x + 3 =0
thus,
To find that it is linear equation in two variable is given equation
As,
We can see there is only one variable that is x.
So , it is not a linear equation in two variables.
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
The UTM coordinates of Enchanted Rock State Natural Area in Fredericksburg, Texas, are 517266.07 E, 3374884.58 N, Zone 14R. How far is it from the zone's central meridian
Enchanted Rock State Natural Area is located at latitude 30.506130 and longitude -98.820064. The geographic coordinates of Enchanted Rock State Natural Area in Fredericksburg, United States, are 30° 30' 22.068" N and 98° 49' 12.2304" W. Enchanted Rock State Natural Area falls under the Mysterious Sites category.
Where can measurements be made using the WGS84 datum?The standard datum used by default for GPS devices used for commercial and recreational purposes is WGS84. GPS users are advised to always verify the datum of the maps they are utilising.
What datum does US Navstar GPS employ?WGS 84, also known as the datum, is now in use by US forces.
To know more about latitude visit:-
brainly.com/question/12180926
#SPJ4
What if Aya and Sakura could only afford a monthly payment of $1800?
What would be the maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same?
What is the total amount that would be paid to the lender over 25 years?
a) The maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same = $369,181.93.
b) The total amount that would be paid to the lender over 25 years = $540000
To find the maximum mortgage amount they could afford to borrow if they could only pay $1800.
Here, future value = 0
number of periods = 25 years
= 25 × 12 months per year
= 300
payment amount = -1800 dollars
interest rate = 4.25% per year
= 0.3542% per month
the maximum mortgage amount they could afford = $369,181.93.
And the total payments would be equal to 300 × 1800 = 540000
Learn more about the mortgage here:
https://brainly.com/question/13580545
#SPJ4
The complete question is:
Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and they're not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly.
What if Aya and Harumi could only afford a monthly payment of $2,000?
What would be the maximum mortgage amount they could afford to borrow from the bank if all the other conditions were the same?
What is the total amount that would be paid to the lender over 25 years?
Cual es mayor 0.08 o 0.2
Answer:
0.2
Step-by-step explanation:
Answer:
0.2 es mayor.
Step-by-step explanation:
0.2>0.08
Can u please help.............
Answer:
152°
Step-by-step explanation:
2x + 48 = 3x - 4 (the measure of an exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles of the triangle)
=> 4 + 48 = 3x - 2x (on transposing)
=> 52 = x
Substituting the vale of x in the m∠JKM,
m∠JKM = 3x - 4 = 3(52) - 4 = 152°
Hope you understood!!
A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter
Answer:
the equation of line parallel to y=-3x+2
is y=-3x+k---(1)
Since,line(1) passes through point (4,3).
3=-3(4)+k
or,3=-12+k
or,k=3+12
:.k=15
Putting value of k in line (1), we get
y=-3x+15,which is the required eqn.
*mark me brainliest
A container has 2 cups of milk in it. How many 1/4 cups are in the container?
Explain or show your reasoning.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
Can someone please help me with this?
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
How to solve the equation?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the location of this point.
The result of the first equation is
x + 6y = 25
we can easily solve for x by subtracting 6y from both sides we have
x + 6y - 6y = 25 - 6y
x - 25 - 6y
So, the first equation's x term can be simply solved.
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
To learn more about system of equations refer to:
https://brainly.com/question/29273511
#SPJ1