Therefore , the solution of the given problem of equation comes out to bem² + p² =z².
Equation: What is it?The Latin word equ has the meaning of equivalent. Many of the English language's changeable terms, including adequate, temperate, and equality, contain Latin roots in their base words. The Latin root word equ enters our lexicon rather easily because both sides of an equation are, by essence, "equal" to one another.
Here,
Given : a triangle of m,p,z of length of right triangle :
By using Pythagoras theorem :
The relationship comes out to be :
=> m² + p² =z²
Thus , relationship between m , p and z is m² + p² =z² as per Pythagoras theorem.
Therefore , the solution of the given problem of equation comes out to be m² + p² =z².
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Please hurry its timed
The correct option regarding the high tide and the low tide is given as follows:
B. high tide at 6 a.m. and 6 p.m., depth of 28 ft.
low tide at 12 midnight and 12 noon, depth of 20 ft.
What is the definition of the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.The amplitude for this problem is of 4, with a vertical shift of 24, hence the low and high tides are given as follows:
Low: -4 + 24 = 20 ft.High: 4 + 24 = 28 ft.The function is reflected over the x-axis, due to the multiplication by the negative number, hence the low tide is at midnight.
The period of the function is given as follows:
2π/(π/6) = 12 hours.
Thus the low tide also happens at noon, meaning that option B is correct.
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How do you call 2 angles with the sum of 90?
The two angles that have the sum of angles as 90° are called as Complementary Angles .
What are Complementary Angles ?
The two angles are said to be complimentary Angles when the sum of two angles is 90° .
In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles. We can also say that the two angles complement each other.
For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .
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Step 4: Calculating the right recipe for Jerome
Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.
How many cups of energy drink does Jerome need to make?
Answer:
44
Step-by-step explanation:
If there are 22 people running and they each want two energy drinks, then Jerome needs to make 44 cups. 22 times 2 is 44
If you could take one sample from the mystery bag in order to make a prediction, would you rather draw a sample of 10 marbles or a sample of 20 marbles. Explain your choice by referring to the representations of the two distributions.
I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.
How to illustrate the sample?In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.
For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.
However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.
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Chris put $5,500 into a savings account that pays 5% interest compounded monthly. How much would be in his account after one month?
Answer:
$5,775
Step-by-step explanation:
The equation is:
A = P( 1 + rt)
We know
P = $5,500
r = 5% = 0.05
t = 1 month
Let's solve
A = 5,500( 1 + 0.05 x 1)
A = 5,500( 1.05)
A = $5,775
So, his account will be at $5,775 after one month.
What are the potential solutions to the equation below? 1ln(x+3)=0
A. x = -3 and x = -4
B. x = -2 and x = -4
C. x = 2 and x = -3
D. x = 2 and x = 4
The potential solutions to the equation are x = -2 and x = -4
What is logarithm ?A logarithm is the power to which a number must be raised in order to get some other number .
The given expression is ln(x + 3) = 0
It can be rewritten as
[tex]ln _e (x + 3) = 0[/tex]
[Since base of a natural logarithm is considered as e]
[tex]e^0 = (x + 3)[/tex]
Since in a logarithmic function if log b with base e = c
Then we further solve the expression to get the possible roots.
x + 3 = 1
x = 1-3
x = -2
Therefore, the potential solutions are x = -2 and x = -4
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David invested $220 in an account paying an interest rate of 1. 7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest ten dollars, would be in the account after 10 years?
David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.
Here we have been given that David invested $220.
The interest rate was 1.7%
Since the amount was compounded continuously, there is no fixed date of when it was compounded, the whole process is taken as an exponential distribution.
There were no withdrawals or additional deposits to this, so our Principal is constant. Hence we can write the formula
Amount = Principal X eᵃˣ
where a = rate of interest/100
x = time
Therefore, we can say that
Ampunt after 10 years = 220 X e¹⁰ ˣ ⁰°⁰¹⁷
= $260.76707
rounding off to the nearest 10 dollars we get
= $260
Hence David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.
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What are the roots of the equation 2x^2 3x 5 0?
The roots of the equation 2x² - 3x - 5 = 0 are 5/2 and -1.
The quadratic formula is a formula that can be used to find the solutions (or roots) of a quadratic equation. For a quadratic equation written in the form ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula is given by:
x = (-b ± √(b²- 4ac))/(2a)
Where x is the solution, a, b, and c are the coefficients of the equation.
Plug in the coefficients of the equation 2x² - 3x - 5 = 0 to the quadratic formula to find the roots.
x = (-b ± √(b²- 4ac))/(2a)
x = (3 ± √((-3)²- 4(2)(-5)))/(2)(2)
x = (3 ± 7)/4
x = 5/2 ; x = -1
Hence, the roots of the equation are 5/2 and -1.
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In a rhombus MNLP, diagonals intersect each other at point O. If m∠MNL is 120° and the length of the side is 8 in, find m∠MNO, m∠MON, and NP. A (5pts) Find m∠MNO. Answer
In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.
Diagonal of a rhombus bisects the angles of the rhombus at the vertex.
So as m∠MNL is 120°,
∠MNO = ∠LNO = 120/2 = 60°
The diagonals intersect each other at a 90 degree angle, therefore
m∠MON = 90°
Considering ΔMNO, right angled at O.
cos(∠MNO) = NO/ MN
cos(60) = NO/ 8
NO = 0.5×8 = 4
NP = NO + OP
NP = 2NO
NP = 2×4
NP = 8 in
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28. Anael cut several boards to build a deck.
The boards must be 100 in. ± 0.25 in. Her
measurements of the boards after cutting
them are shown in the graph. Which boards,
if any, can she not use?
Anael can not use the fourth board measurement. This can be solved by using the concept of inch scale.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950's and 1960's, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
The question given here,
the first board measurement: [tex]99\frac{3}{4} =[/tex] 99 inch ± 0.75 inch
the second board measurement: [tex]99\frac{7}{8} =[/tex] 99 inch ± 0.875 inch
the third board measurement: [tex]100\frac{1}{6} =[/tex] 100 inch ± 0.16 inch
the fourth board measurement: [tex]100\frac{5}{16} =[/tex] 100 inch ± 0.3125 inch
the fifth board measurement: [tex]99\frac{13}{16} =[/tex] 99 inch ± 0.8125 inch
Thus, Anael can not use the fourth board measurement.
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If a_1=7a
1
=7 and a_n=a_{n-1}+5a
n
=a
n−1
+5 then find the value of a_5a
5
The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.
Using the recursive formula:
a_2 = a_1 + 5a = 7a + 5a = 12a
a_3 = a_2 + 5a = 12a + 5a = 17a
a_4 = a_3 + 5a = 17a + 5a = 22a
a_5 = a_4 + 5a = 22a + 5a = 27a
so a_5 = 27a
This is the final result and no need to calculate more.
Thus the final value of a_5 is 27a.
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road to white house Math
The value of f(4) - g(-5) if function f(x) = 3 / 2x + 2 and g(x) = 2x² - 3 is -39.
What is function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Given:
f(x) = 3 / 2x + 2 and g(x) = 2x² - 3
Calculate the value of f(4) and g(-5) as shown below,
f(4) = 3 / 2 × 4 + 2
f(4) = 12 / 2 + 2
f(4) = 6 + 2
f(4) = 8
g(-5) = 2 × (-5)² - 3
g(-5) = 2 × 25 - 3
g(-5) = 50 - 3
g(-5) = 47
Now, calculate the value of f(4) - g(-5) as shown below,
f(4) - g(-5) = 8 - 47
f(4) - g(-5) = -39
Thus, the value of f(4) - g(-5) is -39.
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−8≤2−10
Can you please help me find it?
Answer:
-8 [tex]\leq[/tex] -8
Step-by-step explanation:
-8[tex]\leq[/tex]2-10
-8[tex]\leq[/tex]-8
Answer:
-8
Step-by-step explanation:
-8≤2-10
2-10 = -8
-8≤-8
2
The scores of seven people playing a card game are listed below.
56, 103, 114, 80, 141, 68, 150
What is the interquartile range of the scores?
OA. 35
OB. 73
O C. 102
OD. 94
Answer:
B. 73
Step-by-step explanation:
An explanation is in the picture if you need it.
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1{,}0001,0001, comma, 000 delivery orders and constructed a one-sample zzz interval to estimate the proportion of delivery orders that take more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4{,}0004,0004, comma, 000 orders. Assume that the point estimates from each sample are approximately equal.What is true about the margins of error from these two samples
The smaller sample's margin of error will be almost twice as great as the larger sample's margin of error.
Calculating the margin of error for a given sample from a population:
Let the level of significance be and the standard deviation of the population be σ and the sample size be n, then we have:
MOE(Margin of Error)= [tex]z_{a/2}\times\frac{\sigma}{\sqrt n}[/tex]
Using the above formula to calculate the margin of errors for two specified samples
For first sample:
Sample size = n(1) = 1000
MOE(1) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {1000}}[/tex]
For second sample:
Sample size = n(2) = 4000
MOE(2) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
MOE(2)/MOE(1) = [tex]\frac{z_{a/2}\times\frac{\sigma}{\sqrt {4000}}}{z_{a/2}\times\frac{\sigma}{\sqrt {1000}}}[/tex]
MOE(2)/MOE(1) = [tex]\sqrt{\frac{1000}{4000}}[/tex]
MOE(2)/MOE(1) = 1/2
MOE(1) = 2*MOE(2)
Thus, the margin of error from the smaller sample will be about double of the margin of error from the larger sample.
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(2x+6y) exponent 2 with solution po thanks
Answer: (2x+6y)^2 = (2x+6y)(2x+6y) = 4x^2 +12xy + 12yx + 36y^2 = 4x^2 + 24xy + 36y^2
So the result of (2x+6y)^2 is 4x^2 + 24xy + 36y^2
And correct the errors in the following mathematical statement
Which statement.........
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Constructing a line segment of length 2 and then finding the
midpoint
B. Drawing a perpendicular line segment through a given point on a
given segment
C. Drawing a line through a given point parallel to a given line
D. Drawing a perpendicular line segment from a given point to a
given segment
Answer: Constructions A, B, and D can be accomplished with paper folding.
Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.
Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.
Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.
Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.
Step-by-step explanation:
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment. What is construction in mathematics?Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -
Constructing bisectors of lines and angles.Constructing regular polygons inscribed in circles.Constructing circumcircles and incircles.Constructing a line tangent to a circle.Given is to find which of the following constructions can be accomplished with paper folding.
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.Therefore, the following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.To solve more questions on constructions, visit the link-
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What is represented by P ∨ Q?
The statement [tex]P\land Q[/tex] in Tautology is represented as P and Q , and the symbol "[tex]\land[/tex]" is called as AND operator .
What is Tautology ?
Tautology can be defined as a compound statement which always results in Truth value. It does not matter what individual part consists of, the result in tautology is always true.
AND Operator : The AND is represented by the symbol "[tex]\land[/tex]". When the 2 simple statements are used in forming the compound statement by using AND operator , then it is called as a conjunction of two statements .
The AND operator returns TRUE value only when both the statements P and Q are TRUE , if any one of the statement is FALSE , then it returns FALSE value .
The given question is incomplete , the complete question is
What is represented by [tex]P\land Q[/tex] in Tautology ?
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8
and AD 4, what is the length of AC ? (Note: the figure is not drawn to scale. )
The required length of the side AC of the given right triangle is 32 units.
What is the right triangle?A right triangle is a triangle with one right angle or two perpendicular sides.
It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.
The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
A triangle is referred to be a right triangle when one of the interior angles is 90 degrees or a right angle.
So, using the hypotenuse AC as the point of convergence for the right triangle ABC,
AB is 8 and AD is 2.
Verify whether the triangle ΔABD resembles ΔACB.
∠ BCA = ∠ DBA (90 - ∠ DBC)
∠ A = ∠ A
As a result, ΔABD and ΔACB share an AAS resemblance.
Utilize the similarity property to determine the length of AC.
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Therefore, the required length of the side AC of the given right triangle is 32 units.
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Correct question:
Given a right triangle, ABC with altitude BD drawn to hypotenuse AC. If AB = 8 and AD = 2, what is the length of AC?
Kourtney and Kayla are sisters who are taking the same classes this semester: MAT 003, CHM 131/3131A, and ACA 122. If kourtney earns a pee a P in MAT 003, a B in CHM 131A, and an A in ACA, then what will her GPA be?
A. 3. 5
B. 3. 2
C. 2. 58
D. 3. 8
the GPA for the current semester will be 3.5.
What is GPA?
A metric used to assess your performance throughout the course of your complete degree program is your grade point average.
The average grade point average (GPA) is a figure that represents your typical performance in classes over the course of a semester, term, or year. In line with how much you raise your overall grade point average over your time at the university, your typical GPA score will fluctuate (or, in some cases, how much you fall behind).
A pass grade is a P, an A is a grade of excellent performance worth 4 points per credit, and a B is a grade of good performance worth 3 points per credit. The grade averages do not take P grade into account.
MAT 003, CHM 131a, and ACA 122 each have three, one, and two credits. Thus, the final score is 3 + 1 + 1 = 5. P in MAT 003, B in CHM 131a, and A in ACA 122 are the grades she receives.
GPA can be calculated by
GPA = ( 3 × 1 + 4 × 1)/ 5
GPA = ( 3 + 4)/ 5
GPA = 3.5
Hence the GPA for the current semester will be 3.5.
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What is an example of ordered pair function?
An ordered pair function is a type of mathematical function that associates certain pairs of elements (called ordered pairs) with a single output. For example, the function f(x,y) = x+y associates the ordered pair (2,3) with the output 5.
What is function?A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions such as print(), etc. but you can also create your own functions. These functions are called user-defined functions.
This is because 2+3 = 5. Another example is the function f(x,y) = x×y,
which associates the ordered pair (3,4) with the output 12, since 3×4 = 12.
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Contradiction Club holds a yearly proof competition, with special unique prizes for first, second, third, and fourth place. If 16 students enter the competition this year, how many ways can these prizes be distributed among the students
A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.
How many ways can five different prizes be distributed among five people?120 ways, The first person has a choice from 5 prizes, the second has a choice from 4 prizes, and so on. The awards can be awarded in 5 different ways, or 5 × 4 × 3 × 2 × 1 = 120 different ways. When each student is qualified for each reward, the number of ways that 5 prizes can be distributed to 8 students is. [tex]5^(8)``8^(5)``8xx5!``5 xx 8!`[/tex] You may clear your doubts and achieve good exam results with the help of step-by-step solutions provided by specialists.For the first reward, there are 8 options. There are then 7 options for the second prize. Furthermore, there are 6 options for the third prize. As a result, there are 336 ways: 8 × 7 × 6. ∴ Total ways = 4× 3 ×2 = 24 ways = 4!To learn more about Contradiction Club refer to :
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What is a equivalent ratio
Answer:
Step-by-step explanation:
In ratio and proportion , when we compare two ratios or we can say two fractions then they are said to be equivalent when both of them are same.
What are the values of sin cos and tan?
Step-by-step explanation:
bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French
May someone please help me
The positive value of the distance between the two objects
is [tex]r = + \sqrt\frac{GM_1M_2}{F_g}[/tex]
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Considering the equation for determining the gravitational pull between two items [tex]F_g = \frac{GM_1M_2}{r^2}[/tex], where r is the distance between the objects M is the individual masses and G is the gravitational constant.
The answer to the r in the problem has two values. Since distance cannot be negative, there can only be one positive value, hence we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex]
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt\frac{GM_1M_2}{F_g}[/tex]
[tex]r = +\sqrt\frac{GM_1M_2}{F_g}[/tex].
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based on the data provided, does this algorithm run in a reasonable or unreasonable time? explain your answer
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Based on how quickly iterations rise as input increases, fair and unreasonable algorithms can be distinguished. Since the algorithm does not grow exponentially, we can infer that it completes in an acceptable amount of time.
assessing the mathematical function that represents the algorithm's growth rate when input is added;
200 = 10k, where k is the proportionality constant.
k = 200/10
k = 20
The function that represents the number of iterations is as a result:
I = input size; n = 20i; represents the number of iterations.
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
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What is the value of F (- 3 2 where F x )= 4x2 3x 7 2?
The value of F (- 3 2 where F x )= 4x2 3x 72 is:
F ( -3) = - 27 and F (2) = - 62
What is function?In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.
As per the given function F(x), x is the independent variable and F (x) is the dependent variables.
generally, we write F(x) = y
What is the value of F ( -3, 2) for the function given in question?given, F (x) = 4x² - 3x -72
F (x) is a function of x
for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72
F (- 3) = - 27
again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72
F (2) = - 62
from the above calculation, we find (-3, 2) are domain of function F (x) and
(- 27, -62) are ranges of the above function.
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The point (14, –3) and (–10, –3) fall on a particular line. What i it equation in lope-intercept form?
Its equation in the slope-intercept form will be y = -3 because the y coordinates of both points are equal.
Given points in terms of coordinates so let's try to understand what are coordinates.
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis(vertical) are the two axes that make up a coordinate plane. (Telling children that the x-axis crosses because "x" is a cross helps them remember which of these is which.)
We have total 4 coordinates
First Coordinate both x and y are positive.
Second Coordinate x is negative and y is positive.
Third Coordinate both x and y are negative.
Fourth Coordinate x is positive and y is negative.
Point A is (14, -3)
Point B is (-10, -3) both have the same y coordinate.
So line AB is parallel to the x-axis.
The formula for the equation in the slope-intercept formula is
y = mx + c.
m is the slope of the line and c is the intercept on the y-axis.
Line AB is parallel to the x-axis the equation is y = -3.
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At a coffee shop, the first 100
customers' orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered a
hot drink given that he or she ordered a large?
P( Hot Large ) = [?]
Round to the nearest hundredth
Answer:
0.07
Step-by-step explanation:
lets make a chart first
small | medium | large
hot | 5 | 48 | 22
cold | 8 | 1 | 5
1. add all the hot drinks
5+48+22=75
2. find 5/75,
5/75=0.0666666