The value of expression (a + b + c + d) is 20
Consider given equations x + y = 4 ........(1)
and 3xy = 4 .........(2)
The solutions of given equations are of the form [tex]$x = \frac{a \pm b\sqrt{c}}{d}$[/tex]
where a, b, c, and d are positive integers and the expression is completely simplified.
From equation (2),
y = 4/3x
Substitute above value of y in equation (1),
x + y = 4
x + (4/3x) = 4
3x² + 4 = 12x
3x² - 12x + 4 = 0
After solving above quadratic equation we get,
[tex]x=\frac{6\pm 2\sqrt{6} }{6}[/tex]
Comapring this solution with [tex]$x = \frac{a \pm b\sqrt{c}}{d}$[/tex] we get,
a = 6, b = 2, c = 6 and d = 6
Now we find the value of expression (a + b + c + d)
a + b + c + d
= 6 + 2 + 6 + 6
= 20
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Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation?
The scale factor of the dilation is the ratio of the lengths of the corresponding sides of the two triangles. Since triangle ABC and triangle A'B'C' both have side lengths of AB, BC, and CA, the scale factor is 1.
1. Calculate the length of the sides of triangle ABC:
AB = length of side AB of triangle ABC
BC = length of side BC of triangle ABC
CA = length of side CA of triangle ABC
2. Calculate the length of the sides of triangle A'B'C':
A'B' = length of side A'B' of triangle A'B'C'
B'C' = length of side B'C' of triangle A'B'C'
C'A' = length of side C'A' of triangle A'B'C'
3. Calculate the scale factor of the dilation:
Scale factor = (AB/A'B') x (BC/B'C') x (CA/C'A')
= (length of side AB of triangle ABC / length of side A'B' of triangle A'B'C')
x (length of side BC of triangle ABC / length of side B'C' of triangle A'B'C')
x (length of side CA of triangle ABC / length of side C'A' of triangle A'B'C')
= 1 x 1 x 1
= 1
Therefore, the scale factor of the dilation is 1.
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The domain and range for the function W = 15T + 400 is domain = set of all real numbers from 0 to 90 and range = set of all real numbers from 400 to 1750.
What is the range and domain of a function?
A function's range includes all conceivable values for y. Y = f(x) is the formula to determine a function's range. It is only a function in a relation if each x value has exactly one y value.
The collection of all potential inputs for a function is its domain.
The function for Total amount of water in the tank is given as -
W = 15T + 400
Where, T is the total number of minutes when the water is added.
So, according to the definition of range and domain -
T = domain = Number of minutes when the water is added
W = range = Total amount of water in the tank
W was a function of T for the next 90 minutes.
So, the domain will be the set of all real numbers from 0 to 90.
At, T = 0 -
W = 15(0) + 400
W = 400
At, T = 90 -
W = 15(90) + 400
W = 1350 + 400
W = 1750
So, the range will be set of all real numbers from 400 to 1750.
Therefore, the domain and range is (0,90) and (400,1750) respectively.
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The product of two rational numbers is ___ number because multiplying two rational numbers is equivalent to the ratio of ___, which is ___ number.
complete the hypothesis about the product of two rational numbers.
The product of two rational numbers is a rational number.
In any field containing integers, rational numbers, along with addition and multiplication, produce a field that also contains the integers. In other words, a field only has characteristic zero if and only if it contains the field of rational numbers as a subfield. The field of rational numbers is a prime field.
"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."
Therefore, when we are multiplying two rational numbers, their product must be a rational number.
This is because, numerators of both rational numbers are integers and denominators of both the numbers are non-zero integers.
Hence, the product is a rational number.
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Hello I need some help with math
Answer:
y = 136
x=15
Step-by-step explanation:
to work this question out you must know the angles on a straight line add up to 180 degrees. By doing that we can find the top angle inside of the triangle.
180 - 104 = 76
to find x we need to know that angles in a triangle add up to 180 degrees.
180 = (3x-1) + 4x + 76
To solve for x, we can first simplify the equation.
180 = (3x-1) + 4x + 76
This can be re-arranged as:
(3x-1) + 4x = 104
and then combined as:
7x = 105
Finally, we can solve for x by dividing both sides by 7:
x = 105/7
x = 15
So the value of x that satisfies the equation is 15
to find y we need to know that angles on a line equal 180
180 = (3(15)-1) + y
180 = 44 + y
To find the value of y, we can subtract 44 from both sides
y = 180-44
y = 136
What type of triangle is it if the lengths are 4 cm 5 cm and 6 cm?
A triangle with given lengths 4cm , 5cm , and 6cm is scalene and acute angled triangle.
As given in the question,
In the given triangle ,
Lengths of the sides of a triangle is given by :
4cm , 5cm , and 6cm.
All the sides are of different measure , it is a scalene triangle.
Apply cosine rule to find the measure of largest angle:
c = 6cm is the longest side opposite to largest angle.
c² = a² + b²- 2abcosα
⇒ 6² = 4² + 5² - 2(4)(5)cosα
⇒cosα = ( 16 + 25 - 36 ) / 40
⇒ cosα = 5/40
⇒ α = cos⁻¹( 1/8)
⇒ α = 82.8° < 90°
It is an acute angled triangle.
Therefore, for the given lengths of the triangle it is a scalene and acute angled triangle.
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250 college students were surveyed about if they liked the food choices offered by the cafeteria. 140 people said that they did like the choices offered. what percentage of the students like the food offered? fill in the blank 1%
So, on solving the provided question we can say that Percent = 140/250 x100 = 56%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
A percentage is a ratio of one unit of an event's result to the entire sample multiplied by 100%. It denotes parts per 100. We divide the percentage of the sample that liked the options by the total sample to arrive at the calculation. As a result, we compute:
Percent = 140/250 x100 = 56%
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During the summer, 1.3% of the water in the kiddie pool evaporates every day. if the kiddie pool holds 8,000 gallons of water and is not refilled for 10 days, how many gallons of water will be in the pool?
7019 gallons of water will be in the pool.
Initial volume of water = 8000 gal
Daily reduction = 1.3%
Time = 10 days
Required equation:
=8000*(1- 0.013)^10
=8000*0.987^10
=7018.7781 ≈ 7019 rounded to the nearest gallon.
An expression that uses constant algebraic numbers, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
In contrast, since they are not derived from integer constants and algebraic operations, transcendental numbers like and e are not algebraic. The definition of e necessitates an infinite number of algebraic operations, while the construction of is typically done as a geometric relationship.
Any expression that can be converted into a rational fraction using the properties of the arithmetic operations is said to be rational (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).
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For a particular circle, a central angle of 75 degrees will intercept an arc of length 10pi feet. What is the radius of this circle?
The radius of the circle is 48 feet.
Circle:
The round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
The arc length of a circle is given by the formula arc length = (angle/360) * 2 * pi * radius.
In this case, the angle is 75 degrees, and the arc length is 10* pi feet.
So, we can set up the equation: (75/360) * 2 * pi * r = 10 * pi
Solving this equation for the radius, we get: r = (10pi) / ( (75/360) * 2 * pi) = (10360) / 75 = 48 feet. So, the radius of the circle is 48 feet.
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At nyu in 2013 the cost of the weekly meal options could be described as a function of the number of meals is the cost of the meal plan linear or non linear function
Correct option is A, the cost of the meal plan is non-linear.
How can a function's linearity or nonlinearity be determined?The simplest approach to tell if a function is linear is to look at its graph. A linear function produces a straight line on a graph. A nonlinear function is not straight and is curved in some way. A linear function results in a straight line on a graph. As a result, non-linear functions can be of any kind. Although determining a function's linearity from its input/output table or equation is the simplest method, it is also possible to do so.
Based on the given conditions, formulate:
The definition of linear function
8-10 meals = (135-123) = (10-8) =10/2=5
10-12 meals: (155-135) = (12-10)
=20/2
= 10
12-21 meals: (220-155) = (21-12)
= 65/9
=7 2/9
5 < 7 2/9 < 10
So the cost of the meal plan is non-linear.
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Complete question -
After surveying 995 adults, 81.5% of whom were over 30, the National Sleep Foundation reported that 36.8% of all the adults snored. Thirty-two percent of the respondents were snorers over the age of 30.What percent of respondents were under 30 and did not snore? Hint: Draw a Venn diagram to represent the region of interest.
A. 73.91% of respondents were under the age of 30 and did not snore.
B. Data show that snoring is not age-independent as most snorers are over 30 years of age.
A. The first step is to convert all percentage population groups into numbers. This helps make things clearer.
Total number of adults surveyed = 995 adults
Number of adults over the age of 30 = 81.5% of 995
= 81.5/100 × 995
= 810.925
≈ 811(part of the population can be counted).
Number of adults under 30 = 995 - 811 = 184 adults.
Number of all adults who snore = 36.8% of 995
= 36.8/100 × 995 ≈ 366 adults who snore
Of the total 995, 32% of the snorers were over 30 was.
Number of snorers over 30 × 995 ≈ 318 adults
Snorers under 30 = 366 - 318 = 48 adults
Number of under 30s recorded 30 - under 30 snorers
= 184 - 48 = 136
Converting this to percentage: 136/184× 100 = 73.91%
so 73
B. From the data, snoring is not independent of age as most of the people that snored were above 30 years. Snoring is related to the age. This is because that the most of the younger adults did not snore, while more of the older adults snored.
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Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma negative 1 and 1 comma negative 5
a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1
a graph of a line that passes through the points 0 comma 4 and 1 comma 4
a graph of a line that passes through the points 0 comma 1 and negative 1 comma negative 3
The graph of the proportional relation is the one in the second option.
"a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1"
Which linear graph represents a proportional relationship?A general linear equation can be written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
Particularly, if the y-intercept is 0, then we have:
y = a*x
We have a proportional relationship.
Notice that when x = 0 we have:
y = a*0
y = 0
So the proportional relationships always pass through the point (0, 0).
Then the correct option is the second one:
"a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1"
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Add. Write the expression in standard form. (−2f2−3f−5)+(−2f2−3f+8)
The standard form of the given expression is -4f²-6f + 3. The algebraic operation is addition.
What is an expression?
An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.
Like terms in mathematics are summands in a sum that differ only by a numerical factor. By adding their coefficients, similar terms can be regrouped. Like terms in a polynomial expression are those that have the same variables to the same powers, but with different coefficients.
Given expression is
(-2f² -3f -5) + (-2f² -3f + 8)
Open the parenthesis:
= -2f² -3f -5 -2f² -3f + 8
Combine like terms:
= (-2f² -2f²) + (-3f -3f) +(-5+8)
= -4f² -6f -3
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You want to be able to withdraw $50000 from your account each year for 30 year after you retire. You expect to retire in 15 year. If your account earn 4% interet, how much will you need to depoit each year until retirement to achieve your retirement goal?
You need to deposit $55,555 each year until your retirement to achieve your retirement goal.
To find the amount you need to deposit each year, you need to calculate the present value of your future withdrawals, considering the time value of money and taking into account the interest rate.
One way to do this is to use the formula for present value:
PV = FV/(1 + r)^t
where PV is the present value, FV is the future value, r is the interest rate, and t is the number of years until the future value.
In this case, FV is $50000 per year for 30 years, so the total future value is $50000 × 30 = $1,500,000. And t is 15 years, so the present value is:
PV = $1,500,000/(1 + 0.04)^15 = $1,500,000/1.8 = $833,333
So, you need to deposit $833,333/15 = $55,555 each year until you retire to achieve your goal.
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Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =.
negative two and three tenths repeating is less than negative eight thirds
negative two and three tenths repeating is greater than negative eight thirds
negative eight thirds is equal to negative two and three tenths repeating
negative eight thirds is greater than negative two and three tenths repeating
Negative two and three tenths repeating is greater than negative eight thirds.
What are inequalities ?
Inequalities in mathematics is when comparing two non equal quantities.
if a is greater than b we write a>b (3>2) and -a<-b (-3<-2)
a=3 and b =2
In the given question
We have to compare and
= = -2.3
= -2.6
So, from this we can say than -2.3 is greater than -2.6
⇒ -2.3 > - 2.6
Solve the simultaneous equations by substitution 2 x − 3 y = 8
Answer:
To solve the simultaneous equations by substitution, we can first solve one equation for one of the variables, and then substitute that expression into the other equation. Here is one way to solve the given equation:
2x - 3y = 8
We can solve for x by adding 3y to both sides:
2x = 3y + 8
We can divide both sides by 2 to get x by itself:
x = (3y + 8)/2
Now we can substitute this expression for x into the other equation:
2((3y + 8)/2) - 3y = 8
Simplifying and solving for y:
3y + 8 - 3y = 8
8 = 8
So the solution for y is any value.
Now we can substitute the value of y into the equation x = (3y + 8)/2 and we'll get the value of x.
x = (3 * y + 8) / 2
For example if we substitute y = 2
x = (3 * 2 + 8) / 2 = 14/2 = 7
So the solution for the simultaneous equations is x = 7, y = 2
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Find the area of the figure.
Answer:
36.3 units²
Step-by-step explanation:
Area of a trapezoid = A = ((a+b)/2)h = [tex]\frac{a+b}{2}[/tex]h
a = 4
b = 1.5+7=8.5
solve for h using pythagorean theorem:
1.5² + h² = 6²
h² = 36 - 2.25 = 33.75
h = [tex]\sqrt{33.75}[/tex] = 5.81
A = [tex]\frac{4+8.5}{2}[/tex](5.81) = 36.3125
You are using a 9-inch paint roller to paint a wall of your bedroom. The roller has a diameter of 158 inches and a nap thickness of 14 inch, as shown. The nap is the fuzzy material on the surface of the roller.
The area covered by the roller in one full revelation is 1674 square inches.
Step-by-step explanation:
Given that You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 158 inches as diameter and a nap thickness of 14 inch, as shown,
The nap is the fuzzy materials on the surface roller. How much area does the roller cover in one full revelation
The parameters to be considered are:
Diameter = 158 inches
Thickness = 14 inches
After one revolution rolling, the dimensions of the length will be:
L = 14 + 158 + 14
L = 186 inches.
Let the width be equal to 9 inches
The area covered = L × W
Substitute L and W into the formula
Area = 186 × 9
Area = 1674 square inches.
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Find a curve in the xy-plane that passes through (0,3) and whose tangent line at a point
(x,y) has slope 2x/y^2
.
The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.
The equation of a curve in the xy-plane is given by F(x,y) = 0. To find such a curve that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2, we can use the method of implicit differentiation.
First, we can find the equation of the tangent line at a point (x,y) on the curve by computing the derivative of F(x,y) with respect to x and setting it equal to 2x/y^2. This gives us:
F_x(x,y) = 2x/y^2
Next, we can use the fact that the curve passes through the point (0,3) to set up the following equation:
F(0,3) = 0
Solving for F(x,y) in terms of x and y and substituting in the equation for F_x(x,y) gives the implicit equation of the curve is
y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant
This is the equation of a curve in the XY-plane that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2.
Therefore, The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.
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question at a gas station, 84% of customers buy gasoline. only 5% of customers buy gasoline and a beverage.what is the probability that a customer who buys gasoline also buys a beverage? round your answer to the nearest tenth.
On solving the provided question, we can say that The probability of a person purchasing both a beverage and gasoline is 0.060, or 6%.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
At a gas station, 84% of customers buy gasoline
[tex]P (A) = 0.84[/tex]
5% of customers buy gasoline and a beverage
[tex]P (B) = = 0.05[/tex]
conditional probability = P (A and B) = P(A) × P(B/A)
[tex]P(B/A) = P (A and B) / P(A)\\P ( B/A ) = 0.0595 = 0.060 or 6%\\[/tex]
The likelihood of a person purchasing both a beverage and gasoline is 0.060, or 6%.
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Think About the Process At a supermarket, a 6-ounce bottle of brand A salad dressing costs $1.56. A 14-ounce bottle costs $3.36. A 20-ounce bottle costs $5.60. What unit prices do you need to know to find the best buy? What is the best buy?
a) The unit prices to determine the best buy are as follows:
6-ounce bottle = $0.2614-ounce bottle = $0.2420-ounce bottle = $0.28.b) The best buy is the 14-ounce bottle of salad dressing with a unit cost of $0.24 since they are all Grade A products.
What is the unit price?The unit price or cost is the cost for an item or a unit.
The unit price can be compared to the unit rate, which is the quotient of the total cost and the number of units.
6 ounces 14 ounces 20 ounces
Total costs $1.56 $3.36 $5.60
Unit cost $0.26 $0.24 $0.28
($1.56/6) ($3.36/14) ($5.60/20)
Thus, buying a 14-ounce bottle of salad dressing is more economical than others.
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How do you graph absolute value equations on a coordinate plane?
To graph an absolute value function, choose several values of x and find some ordered pairs. Plot the points on a coordinate plane and connect them.
Absolute value equations are the equations in which the absolute value operator is used.
To graph such an equation, we must first get rid of the absolute value equation by dividing the equation into different parts. Then graph the equations of these parts separately.
If the value of the expression or the number inside the operator is negative, then the result is the negative of the expression or the number.
Suppose we have an expression: |x+1|
If (x+1) is positive or equal to 0, then |x+1| =x+1
However, if (x+1) is negative, then |x+1| =-(x+1)=-x-1.
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suppose the probability of a successful long hit is 0.4. which approach, the short hit or the long hit, is better in terms of improving the expected value of the score? justify your answer.
The required expected value of the score is 4.92.
What is Probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
According to question:A long hit with success has a 0.4 chance of happening. The following formula can be used to determine which strategy—the short hit or the long hit—will improve the expected value of the score:
Expected value of long hit = P(successful hit)4.2 + P(unsuccessful hit)5.4
= 0.4×4.2 + (1 - .04)×5.4
= 4.92
Thus, required score is 4.92.
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the sum of fifteen and three times a number is equal to 24. find the number
Answer:
The number is 6Step-by-step explanation:
The equation given:
[tex]15 + \left(3x\right) = 24[/tex]
Our goal is to find x. To find x, what I like to do is add the given values together, then subtract them by 24 to find x's value.
[tex]15 + 3 = 18\\24 - 18 = x\\x = 6[/tex]
Hope this helps!
Why are there two answers in absolute value?
The absolute value of a number is always positive, but the number itself can be positive or negative, and there are always two possible solutions for the absolute value equation, one positive and one negative, that are the same distance from 0.
An absolute value equation of the form |x| = k (where k is a constant) will have two solutions, one positive and one negative, that are the same distance from 0 on the number line.
For example, if the equation is |x| = 5, the two solutions of the equation are x = 5 and x = -5.
This is because the absolute value of a number represents the distance of that number from 0 on the number line, and this distance is the same regardless of whether the number is positive or negative. Therefore, for any non-negative value k, there are two numbers that are that distance away from 0, one positive and one negative.
For example, the distance of 5 from 0 is 5 units, and the distance of -5 from 0 is also 5 units. Therefore, |5| = |-5| = 5.
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Beth and Carly are selling candy bars to raise money for New cheerleading uniforms Beth has sold one less than twice the number of candy bars that Carly has sold if they have sold 188 candy bars and all how many has Beth sold
The number of candy bars that Beth has sold, given the total they have sold and the amount sold by Carly, is 125 candy bars
How to find the number of candy bars sold ?To find the number of candy bars that Beth has sold, you can assume that the amount of candy sold by Carly is denoted as x.
This means that the amount of candy bars sold by Beth is:
= 2x - 1
The total sold by both Beth and Carly is therefore:
= 2x - 1 + x
The number of candy bars sold by Carly is:
188 = 2x - 1 + x
188 = 3x - 1
3x = 188 + 1
x = 189 / 3
x = 63
This means that the candy bars sold by Beth is:
= 2 ( 63 ) - 1
= 126 - 1
= 125 candy bars
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Answer questions for points
It can be concluded that -
Version A of iced tea will be sweetest.Nick's claim is true.What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the questions as shown in the image.
[1] -
Greater is the value of amount of tablespoon of sugar per oz of tea, sweetest it will be.
For table {1}, we can write -
m₁ = (12/18) = 2/3
For table {2}, we can write -
m₂ = 6/16 = 3/8
m₁ = 2/3 = (2 x 8)/(3 x 8) = 16/24
m₂ = 3/8 = (3 x 3)/(8 x 3) = 9/24
m₁ > m₂
Version A of iced tea will be sweetest.
[2] -
Greater is the value of amount of strawberry puree per unit of the total amount of liquid, stronger will be the strawberry flavor.
For Nick -
m₁ = 8/12 = 80/120
For Sam -
m₂ = 12/20 = 72/120
m₁ > m₂
Hence, Nick's claim is true.
Therefore, it can be concluded that -
Version A of iced tea will be sweetest.Nick's claim is true.To solve more questions on expressions, visit the link below -
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Cup holds 8 oz and a glass holds 6 oz. Calculate the total intake (mL) for the patient: 1/2 cup of orange juice, 2/3 glass of milk, full cup of lemonade, full glass of water, 1 popsicle (3 ounces) and 4 ounces ice chips.
According to the given measurement, the total amount of intake is 621.0435 ml
Here we have given the following measurements they are listed as follows:
=> 1/2 cup of orange juice,
=> 2/3 glass of milk, full cup of lemonade,
=> full glass of water,
=> 1 popsicle (3 ounces) and
=> 4 ounces ice chips.
Here we also know that
1 cup = 8 oz
1 glass = 6 oz
And as per the Si measurements,
1 oz = 29.5735 ml.
To order to calculate the total amount of intake we have to sum all the given measurements, then we get,
=> 1/2(8) + 2/3(6) + 6 + 3 + 4
When we simplify this one then we get,
=> 4 + 4 + 6 + 3 + 4 = 21
Now, we have to convert ounce into milliliter, for that we have multiply 29.5735 with the total measurement, then we get,
=> 21 x 29.5735 = 621.0435 ml
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What does the statement T(60(>T(10)+T(30) mean
T(60) > T(10) + T(30) means that the number of tenants living on 60th floor is greater than the sum of tenants that are living in 10th and 30th floor.
What is meant by n, T(n) and tenant:
n = number of floor of the Princess Tower (Floor Number)
T(n) is a function of n (floor number) which tells how many tenants are beings living on the nth floor
Tenant means a person occupying a rented land or property (A resident for simple understanding)
Therefore:
T(60) means the number of tenants living on 60th floorT(10) means the number of tenants living on 10th floorT(30) means the number of tenants living on 30th floorThus using the above information, it should be clear that:The statement: T(60) > T(10) + T(30)
Means that: The number of tenants living on 60th floor is greater than the sum of tenants living on 10th and 30th floor.
Just for an example If we have T(60) = 30, T(10) = 10, T(30) = 5
Then T(60) > T(10) + T(30) means that 30 > 10 + 5 which becomes 30 > 15
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Given the points (3, -9) and (-9, 5) find the slope
Answer:0.5
Step-by-step explanation:
In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?
The probability that none of the five students chosen at random are mechanical engineering majors is 0.0111 or about 1.11%.
The probability that none of the five students chosen at random are mechanical engineering majors is
=(51/100) * (50/99) * (48/98) * (47/97) * (46/96)
= 0.0111
This means that the probability is about 1.11%
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
The probability means that the chances of an event to occur or do not occur and it lies between the range of 0 and 1.
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