Use the Venn diagram to calculate probabilities.
Which probability is correct?
P(A|B)=1/2
P(B|A)=7/20
P(A|C)=6/23
P(C|A)=13/17
Answers
Answer: The correct probability is (D) [tex]P(C/A)=\dfrac{13}{17}.[/tex]
Step-by-step explanation: We are given to select the option that gives the correct probability statements using the Venn-diagram in the figure.
From the figure, we can see that there are three events, A, B and C.
And,
[tex]n(A)=1+6+7+3=17,\\\\n(B)=1+6+4+9=20,\\\\n(C)=6+4+6+7=23,\\\\n(A\cap B)=1+6=7,\\\\n(A\cap C)=6+7=13,\\\\n(B\cap C)=6+4=10,\\\\n(A\cap B\cap C)=6.[/tex]
By the law of SET THEORY, we have
[tex]n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cup B\cup C)=17+20+23-7-13-10+6\\\\\Rightarrow n(A\cup B\cup C)=36.[/tex]
So, the total number of elements in the sample space 'S' will be
n(S) = 36 + 8 = 44.
Therefore,
[tex]P(A/B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\dfrac{n(A\cap B)}{n(S)}}{\dfrac{n(B)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{20}=\dfrac{7}{20},\\\\\\\\P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\dfrac{n(B\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{17}=\dfrac{7}{17},\\\\\\\\P(A/C)=\dfrac{P(A\cap C)}{P(C)}=\dfrac{\dfrac{n(A\cap C)}{n(S)}}{\dfrac{n(C)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{23}=\dfrac{13}{23},\\\\\\\\P(C/A)=\dfrac{P(C\cap A)}{P(A)}=\dfrac{\dfrac{n(C\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{17}=\dfrac{13}{17}.[/tex]
Thus, the correct probability is [tex]P(C/A)=\dfrac{13}{17}.[/tex]
Option (D) is correct.
The probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
For the value of probability P(A|B):
We know that:
[tex]\rm P(A/B)=\frac{P(A\cap B)}{P(B)} \Rightarrow \frac{\frac{n(A\cap B)}{n(T)} }{\frac{n(B)}{n(T)} }[/tex]
From the Venn diagram:
n(A∩B) = 7, n(B) = 20, n(T) = 44
P(A/B) = (7/44)×44/20)
P(A/B) = 7/20
For P(B|A):
[tex]\rm P(B/A)=\frac{P(B\cap A)}{P(A)} \Rightarrow \frac{\frac{n(B\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]
The values of n(B∩A) = 7, n(A) =17
P(B/A) = (7/44)×(44/17)
P(B/A) = 7/17
For P(A|C):
[tex]\rm P(A/C)=\frac{P(A\cap C)}{P(C)} \Rightarrow \frac{\frac{n(A\cap C)}{n(T)} }{\frac{n(C)}{n(T)} }[/tex]
The value of n(A∩C) = 13, n(C) = 23
P(A/C) = (13/44)×(44/23)
P(A/C) = 13/23
For P(C|A):
[tex]\rm P(C/A)=\frac{P(C\cap A)}{P(A)} \Rightarrow \frac{\frac{n(C\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]
The values of n(C∩A) = 13, n(A) = 17
P(C|A) = (13/44)×(44/17)
P(C|A) =13/17
Thus, the probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.
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Related Questions
Which transformation could not map trapezoid 1 to trapezoid 8?
reflection
translation
rotation
Answers
Answer:
A rotation
Explanation:
A reflection across the y-axis would map trapezoid 1 to trapezoid 8.
A horizontal translation would also map trapezoid 1 to trapezoid 8.
However, a rotation would map trapezoid 1 to trapezoid 7; it would not map it to trapezoid 8.
Answer: The answer is (c) rotation.
Step-by-step explanation: We are given a figure where 8 trapezoid are drawn on the coordinate plane. We are to select from the given option the transformation that will not map trapezoid 1 to trapezoid 8.
We can easily check that by reflecting and translating that both these transformations will definitely map trapezoid 1 to trapezoid 8.
Only the rotation will not work here. If we rotate trapezoid 1 by 180° taking origin as the centre of rotation, the the image will be opposite of trapezoid 8. Therefore, rotation will not map trapezoid 1 to trapezoid 8.
Thus, (c) is the correct option.
PLZ SOMEONE HELP ME ON THIS
Answers
I may be wrong let me know
Hope it helps
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
Answers
A tangent is a line that only touches one point on the circle. The purple line on top of the circle is a tangent line.
A radius is a line from the center to any point on the circle. The red line is a radius.
A secant is like a chord, except it is a line and keeps going. The cyan (sky blue) line is a secant line.
A point of tangency is the point that the tangent line touches. The yellow point on the purple line is the point of tangency.
A diameter is a straight line that crosses the center and two points on the circle. You can say it’s two radii put together. Line segment BD (green) is a diameter.
Hope this helps!
In geometry, a chord, radius, diameter, tangent, secant, and the point of tangency are all parts related to a circle. A radius can also be an axis, a minor arc is the smaller arc between two points on a circle, and a major arc is the larger one. These terms help in understanding the properties and relations of lines to a circle.
In the context of circles in geometry, various terms define specific parts or aspects of a circle. Here's what each term represents:
A chord is a straight line segment whose endpoints both lie on the circle.The radius is a straight line from the center of the circle to any point on the circle. In other cases, it can form an axis which bisects a chord (as per a geometry theorem).A diameter is a chord that passes through the center of the circle, and it is also twice the length of the radius. Two radii forming a straight line constitute a diameter.A tangent is a straight line that touches the circle at just one point, this point is known as the point of tangency. A tangent is perpendicular to the radius drawn to the point of tangency.A secant is a straight line that intersects the circle at two points.A minor arc is the shortest arc connecting two endpoints on a circle, and a major arc is the longer arc connecting the same two endpoints. The length of an arc is proportional to the size of its associated angle at the center of the circle.
When drawing or labeling the parts of a circle, it's important to note these definitions. For instance, if given a diagram with a point on the circle labeled 'A' and the center labeled 'O', the segment OA would be a radius. If there's a straight line that touches the circle at point A and doesn't cross through it, that would be your tangent, and point A is the point of tangency. Any straight line through A that crosses through another point on the circle, say, point B, would be a secant, and the line OAB (if extended through O) would be a diameter. The arc's size determines if it is a minor or major arc, depending on whether it is more or less than half the circle's circumference.
It rained 2/8 inch in one hour. If rained 4/8 inch in the next hour.find the total amount of rain.wrote in simplest form
Answers
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
7. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answers
.7=x/12
12*.7=x
x=8.4
Answer:
x = 8.4 cm
Step-by-step explanation:
Here we have to use the tan ratio to find the value of x.
tan = opposite/adjacent
tan 35 = x/12
Multiplying both sides by 12, we get
x = 12 tan 35 [tan 35 = 0.7]
x = 12*0.7
x = 8.4
Therefore, the value of x = 8.4 cm
Hope this will helpful.
Thank you.
PLEASE HELP ASAP
Find a solution of the linear inequality.
7>(or equal to)4x-5
(3, 4)
(1, 1)
(3, 0)
(2, 1)
Answers
Solve the system of linear equations by elimination. 3x−2y=4 3x−2y=4 6x−2y=−2
Answers
y = -5
You can get this by multiplying the first equation by -1 and then combining. That will get your y values to cancel out.
1000p for an answer please
Answers
Also, notice that it says "the difference of a number and 6"
So your equation should have been
y - 6
And after evaluating
24 - 6
Then solve
24 - 6 = 18
18 should have been the answer
So no, the student's work is not correct, because the student wrote a division expression instead of a subtraction equation
PLEASE HELP WILL GIVE 20 POINTS MARK BRAIN~LEST 5 STAR RATTING FOR ONE QUESTION
Answers
[tex]( \frac{x^-^4y^2}{yx^2*x^2y^-^4} )^3[/tex]
The first step has been done correctly.
Leaving us with:
[tex] \frac{x^-^1^2y^6}{y^3x^6*x^6y^-^1^2} [/tex]
The second step, however, has been done incorrectly.
Why?
Because what has been applied on the exponent is product rule, where the exponents should get added and not multiplied
So, we should have an answer like this:
[tex] \frac{x^-^1^2y^6}{y^-^1^2^+^3x^6^+^6} = \frac{x^-^1^2y^6}{y^-^9x^1^2} [/tex]
So your answer will be the second option:
Step 2, the exponents in the denominator are multiplied
Spray from a lawn sprinkler makes a circle 40 feet and radius what are the approximate diameter circumference and area of the circle of the lawn watered
Answers
The approximate diameter of the circle is 80 feet, the circumference is approximately 251.327 feet, and the area is approximately 5026.548 square feet.
To find the diameter, circumference, and area of the circle watered by the lawn sprinkler, we can use the formulas:
1. **Diameter [tex](\(d\)) = \(2 \times \text{radius}\)[/tex]
2. **Circumference [tex](\(C\)) = \(2 \times \pi \times \text{radius}\)[/tex]
3. **Area [tex](\(A\)) = \(\pi \times \text{radius}^2\)[/tex]
Given:
Radius[tex](\(r\)) = 40 feet[/tex]
1. Diameter:
[tex]\[d = 2 \times r\]\[d = 2 \times 40 \text{ feet}\]\[d = 80 \text{ feet}\][/tex]
2. Circumference:
[tex]\[C = 2 \times \pi \times r\]\[C = 2 \times \pi \times 40 \text{ feet}\]\[C \approx 2 \times 3.14159 \times 40 \text{ feet}\]\[C \approx 251.327 \text{ feet}\][/tex]
3. Area:
[tex]\[A = \pi \times r^2\]\[A = 3.14159 \times 40^2 \text{ square feet}\]\[A = 3.14159 \times 1600 \text{ square feet}\]\[A \approx 5026.548 \text{ square feet}\][/tex]
Answer:
The approximate diameter of the circle is 80 feet, the circumference is approximately 251.327 feet, and the area is approximately 5026.548 square feet.
someone help me please!
Answers
Hope this helps :)
Answer:
hudadagra what does a say im sorry for putting this in answer but it wont let me comment.
Step-by-step explanation:
i cant see the pic
What is the measure of R to the nearest degree?
Answers
R measures 42.8 degrees, which is around average.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
The sine rule states that for a triangle with sides a, b, and c opposite to angles A, B, and C respectively,
a/sinA = b/sinB = c/sinC
Using this rule, we can find the measure of angle R as follows:
a = ST = 30
b = RT = 35
c = RS
Let angle R be opposite to side b.
sinR/sinS = b/c
sinR/sin69 = 35/c
c = 35/sin69 x sinR
Now we can use the sine rule to find c:
a/sinA = b/sinB = c/sinC
30/sin69 = 35/sinR = c/sin42
c = 35/sinR x sin42
Equating the two expressions for c, we get:
35/sin69 x sinR = 35/sinR x sin42
Simplifying this equation, we get:
sinR/sin69 = sin42
sinR = sin69 x sin42
sinR = 0.672
Taking the inverse sine of both sides, we get:
R = sin^{-1}(0.672)
R ≈ 42.8 degrees
Therefore, the measure of angle R is approximately 42.8 degrees.
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The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?
Midpoint formula is (x1 + x2)/2 , (y1 + y2)/2 but I keep getting a wrong answer.,
Answers
M ( (x₂-x₁)/2 , (y₂-y₁)/2 )
You need to invert these to get x₁ and y₁:
x₁ =2xm - x₂
y₁ =2ym - y₂
Try with the x to prove the formulae are correct:
x₁ =2·(-8) - (-6) = -16 + 6 = -10 which is what we have!
Then, use the other formula for y:
y₁ =2 ·(6) - (7) = 12 - 7 = 5
Therefore y₁ = 5
HELP ASAP PLEASE!!!!
Answers
recall pythagorean theorem
[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]
where and and b are the legs of the right triangle and c is the hypotenuse
[tex]4 {}^{2} + 4 {}^{2} = d {}^{2} [/tex]
apply Pythagorean theorem
[tex] \sqrt{16 + 16 } = d[/tex]
square each 4 and take the square root of both sides
[tex] \sqrt{32} = d[/tex]
simplify
reduce the radical
FINAL ANSWER
[tex]4 \sqrt{2} = d[/tex]
or you can simply see that it's a 45 45 90 triangle and know that the hypotenuse d equal one of the legs times the square root of 2
Find the volume of the composite space figure to the nearest whole number.
Answers
Answer:
The volume is 180 cube cm.
Step-by-step explanation:
By the given diagram,
The composite figure is made by the two cuboids,
First having dimensions, 2 cm × 5 cm × 6 cm,
And second having dimensions, 8 cm × 5 cm × 3 cm,
So, the volume of the given composite figure = the volume of first cuboid + the volume of second cuboid
= 2 × 5 × 6 + 8 × 5 × 3,
= 60 + 120
= 180 cube cm
The volume of the composite space figure to the nearest whole number is: 180 cube cm.
Here, we have,
from the given information, we get,
By the given diagram,
The composite figure is made by the two cuboids,
First having dimensions, 2 cm × 5 cm × 6 cm,
And second having dimensions, 8 cm × 5 cm × 3 cm,
So, the volume of the given composite figure
= the volume of first cuboid + the volume of second cuboid
= 2 × 5 × 6 + 8 × 5 × 3,
= 60 + 120
= 180 cube cm
Hence, the volume of the composite space figure to the nearest whole number is: 180 cube cm.
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helppppppppppppppppp
Answers
X is negative and Y is positive so it is Quadrant 2 (or Quadrant II)
The points at which the quadratic equation intersects the x-axis are referred too
Answers
The x coordinates of the points where the graph intersects the x axis would be the solutions or otherwise called zeros of the quadratic equation
Find all solutions in the interval [0, 2π).
2 sin2x = sin x
x = pi divided by three. , two pi divided by three.
x = pi divided by two. , three pi divided by two. , pi divided by three. , two pi divided by three.
x = 0, π, pi divided by six , five pi divided by six
x = pi divided by six , five pi divided by six
Answers
Final answer:
The solutions to the equation 2sin^2x = sinx in the interval [0, 2π) are x = 0, π, π/6, 5π/6 and x = π/6, 5π/6.
Explanation:
The given equation is: 2sin^2x = sinx.
To solve this equation, we can first factor out sinx:
sinx(2sinx - 1) = 0.
Setting each factor equal to zero, we get two equations:
sinx = 02sinx - 1 = 0Solving for x, we find:
x = 0, π, π/6, 5π/6x = π/6, 5π/6the product of two rational numbers
Answers
Answer:
'The product of two rational numbers is rational'
Step-by-step explanation:
Statement 'The product of two rational numbers'.
We know that, 'The product of two rational numbers is rational'.
We can prove it,
Let [tex]\frac{a}{b}[/tex] and [tex]\frac{p}{q}[/tex] are two rational number.
Where, a,b,p,q are integers and [tex]b,q\neq 0[/tex]
Now, Product the two rational number
[tex]\frac{a}{b}\times \frac{p}{q}=\frac{ap}{bq}[/tex]
Since, ap and bq are integers and [tex]bq\neq 0[/tex]
Thus, [tex]\frac{ap}{bq}[/tex] is an fraction with integers in the numerator and denominator making it a rational number.
Therefore, 'The product of two rational numbers is rational' is true.
Identify the polynomial. x 3 y 3 monomial binomial trinomial
Answers
Answer:
x³y³ is monomial.
Step-by-step explanation:
Given :Polynomial x³y³ .
To find : Identify monomial binomial trinomial.
Solution : We have given that
Polynomial x³y³ .
Monomial : A polynomial with just one term.
Examples : 1) 3xy
2) 5y²x³ Both are monmial .
x³y³ is also a monomial because it has only one term.
Therefore, x³y³ is monomial.
y = 2/3 x + 20
when x = 21 PLEASE EXPLAIN FUNCTION AND SOLUTION
Answers
In this problem, you are asked to compute for the value of y when x = 21. The function shows how the value of y changes with the given value of x.
Y = 2/3x + 20
Y = 2/3 (21) + 20
Y = 14 + 20
Y = 34
Answer:
5
Step-by-step explanation:
just trust me
What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
y=-3x-5
y=-3x+5
y=3x-5
y=3x+5,
Answers
as you see the line crosses Y-axis on point 5 so the intercept is +5
nowyou can put (2,-1)as x and y to find the slope
[tex] - 1 = 2a + 5 \\ - 1 - 5 = 2a \\ - 6 = 2a \\ a = \frac{ - 6}{2} = - 3[/tex]
the slope is -3
so the correct equation will be
y=-3x+5
The equation of line passes through the points (2, -1) and (5, -10) will be;
⇒ y = - 3x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, -1) and (5, -10)
Now,
Since, The equation of line passes through the points (2, -1) and (5, -10)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 10 - (-1)) / (5 - 2)
m = - 9 / 3
m = - 3
Thus, The equation of line with slope - 3 is,
⇒ y - (-1)= - 3 (x - 2)
⇒ y + 1 = - 3x + 6
⇒ y = - 3x + 6 - 1
⇒ y = - 3x + 5
Therefore, The equation of line passes through the points (2, -1) and
(5, -10) will be;
⇒ y = - 3x + 5
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For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below.
P(A) = 0.80 P(B | A) = 0.94 P(B | A' ) = 0.79
P(C | A ∩ B) = 0.76 P(C | A ∩ B' ) = 0.56
P(C | A' ∩ B) = 0.68 P(C | A' ∩ B' ) = 0.33
(c) Compute P(B ∩ C).,
Answers
P(A)=0.75
P(B|A)=0.9
P(B|A′)=0.8
P(C|A∩B)=0.8
P(C|A∩B′)=0.6
P(C|A′∩B)=0.7
P(C|A′∩B′)=0.3
In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector?
Answers
Answer:
Let's consider this right triangle described in the picture.
∠ABD = ∠CBD, since BD is a bisector.
Angles ∠ADB and ∠BDC are neighbor angles and their sum is equal to 180°.
∠BDC is an exterior angle and ∠BDC=∠ABD+∠ADB.
Similarly, ∠ADB is an exterior angle and ∠ADB=∠CBD+∠BCD
Step-by-step explanation:
Which table identifies points on the line defined by the equations y-5x=-9
Answers
The equation y - 5x = -9 defines a line that none of the given points (1,5), (2,10), (3,7), and (4,14) lie on, as substituting their x-values in the equation doesn't yield the corresponding y-values.
Explanation:The question involves identifying points on a line described by the equation y - 5x = -9. To verify which points belong to this line, we can substitute the x-values of the given points into the equation and see if the resulting y-values match those in the points. We solve for y in the equation to get y as a function of x (dependence of y on x): y = 5x - 9.
Now, let's examine the points (1,5), (2,10), (3,7), and (4,14) to see if they satisfy this equation:
For (1,5): y = 5(1) - 9 = -4 which does not equal 5, so (1,5) is not on the line. For (2,10): y = 5(2) - 9 = 1 which does not equal 10, so (2,10) is not on the line. For (3,7): y = 5(3) - 9 = 6 which does not equal 7, so (3,7) is not on the line. For (4,14): y = 5(4) - 9 = 11 which does not equal 14, so (4,14) is not on the line.
None of these points lie on the line defined by y = 5x - 9. For a point to be on the line, plugging its x-coordinate into the equation must result in its corresponding y-coordinate.
The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?
Answers
[tex]V = (1/3) * (\pi) * (r ^ 2) * (h) [/tex]
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
[tex] r = x / 2 [/tex]
The height is:
[tex] h = x [/tex]
Substituting values:
[tex]V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x) [/tex]
Rewriting:
[tex]V = (1/3) * (\pi) * (x ^ 2/4) * (x) V = (1/12) * (\pi) * (x ^ 3)[/tex]
Answer:
An expression that represents the volume of the cone, in cubic units is:
[tex]V = (1/12) * (\pi) * (x ^ 3)[/tex]
WILL GIVE BRAINLIEST, 15 points-The daily number of patients visiting a dentist's office during one week are 8, 41, 35, 39, 36, and 42.
Which statement is true?
The mean, median, and mode are all appropriate measures of center.
Both the mean and median are appropriate measures of center.
The median is the only appropriate measure of center.
Both the median and mode are appropriate measures of center.
Answers
Mean and median both try to measure the central tendency in a data set.The mean is commonly used, but sometimes the median is preferred.
Mode is the element which occurs the most times in the set
therefore
the answer is the option
Both the mean and median are appropriate measures of center.
Answer: The median is the only appropriate measure of center.
Step-by-step explanation:
The statement is ''Both the median and mode are appropriate measures of center''. Actually, the three, that is, the mean, media and mode can be used to measure the central of tendency. But the MEAN has a problem, it can be Skewed by large values in the distribution/data. Assuming, the days of the week when patients visiting a dentist's office are;
Monday: 8, Tuesday: 41, Wednesday: 35, Thursday: 39, Friday: 36, and Saturday: 42.
And the mean of the distribution = 33.5. Most patients visit the dentist Tuesday to Saturday, where Saturday is the highest. The data is skewed. So, the MEDIAN will do the job perfectly.
For the mode; since we do not have; (1). two highest mode with the same value in the data provided and, (2). the highest value and the second to the highest values are not too far from each other. We can use the MODE here for measuring the central tendency.
===> CONCLUSION: (1). Assuming the data fails the two condition for mode, the most correct statement will be ''The median is the only appropriate measure of center".
===> (2). Also, for this data, the MEDIAN will be the only appropriate measure of center.
Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.
Week 6
Week 7
Week 5
Week 8
Answers
Answer:
Step-by-step explanation:
We plot the points on a graph with months on x-axis and Revenue/expenses on y-axis.
A straight line shows the decrease in expenses and another line showing increase in revenue.
The point of intersection shows the common point where the revenue and expenses become equal. This point of intersection we get at 6.5 months as shown in the graph attached.
Answer:
Week 7
Step-by-step explanation:
You can solve this problem by graphing the revenue and the expenses and it's asking on which week the lines intersect.
find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3}
how do I do this?
Answers
Plug in all the values of the domain, which are x, into the equation for x. If you plug in those values you will get {-5, -1, 3, 7, 11} so the range will be (-5, 11).
So, to find the range, substitute each value of the domain in the given function f(x)=4x-1
Domain is {-1,0,1,2,3}
When x=-1, f(x)= 4(-1)-1 =-4-1 = -5
When x=0, f(x)=4(0)-1 = 0-1 =-1
When x=1, f(x) = 4(1)-1 = 4-1 = 3
When x=2, f(x) = 4(2)-1 =8-1 =7
When x=3, f(x) = 4(3) -1 =12-1 = 11
Therefore the range is {-5,-1,3,7,11}
Abe has a coupon for $3.50 off a pack of 24 water bottles. The regular price of this pack is $21.98. Is Abe uses his coupon what is the price per bottle.