The probability expression when converted from odd's expression is 8/17
How to determine the probability?From the question, we have the following odd parameters
Odd = 8 to 9
To start with, we need to express the odd as ratio
So, we have the following representation
Odds ratio = 8 : 9
Solving further, we need to express the ratio as fraction
So, we have the following representation
Odds fraction = 8/9
To convert the above odd's expression to probability expression, we make use of the following equation
This is represented as
P = Odds/(Odds + 1)
Substitute the known values in the above equation
So, we have the following equation
P = (8/9)/(8/9 + 1)
Evaluate the sum
This gives
P = (8/9)/(17/9)
Express the quotient as product
P = (8/9) * (9/17)
Evaluate
P = 8/17
Hence, the probability is 8/17
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3x+=x+5
4
2
6
12
10
If you multiply by 12 you will get rid of all your fractions.
What are linear equations?In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
The given linear equation is
6 - (3/4)x + (1/3) = (1/2)x + 5
In this equation the fractions are
(3/4), (1/3) and (1/2)
Take the LCM of 4, 3, and 2
LCM(4, 3, 2) = 12
So, if we multiply the equation with the number 12 we can eliminate the fractions.
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Factorise this expression as fully as possible
2xy^2 + 8y
2y(xy+4)
Hope this answers your question!
Answer:
2y(xy+4)
Step-by-step explanation:
First, Distribute
you get 2y(xy+4) because you have to isolate the like terms than find a gcf of the terms
The sum of four positive integers is 125. If you increase the first number by 4, decrease the second by 4, multiply the third by 4, and divide the fourth by 4, you produce four equal numbers. What is the smallest of the original numbers
Step-by-step explanation:
a + b + c + d = 125
a + 4 = b - 4 = 4c = d/4
a + 8 = b
a = b - 8
16c = d
b = 4c + 4
4a + 16 = d
b - 8 + 4c + 4 + c + 16c = 125
4c + 4 - 8 + 4c + 4 + c + 16c = 125
25c = 125
c = 5
d = 16c = 80
4a + 16 = d = 80
4a = 64
a = 16
b = a + 8 = 16 + 8 = 24
so, the numbers are
16, 24, 5, 80
What's the area of a rectangle with side lengths of 6/8 metter and 4/10 metter?
Answer:
3/10 meters^2
Step-by-step explanation:
we multiply length by width to get are
6/8x4/10
6*4/8*10
24/80
3/10
Hopes this helps please mark brainliest
Answer: Hi the answer to that would be 3/10.
Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!
Find the slope and reduce.
P=(2, 3) Q=(9, 7)
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Slope = m
m = [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{7-3}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]
A restaurant manager recorded the number of people in different age groups who attended their food festival. They created the following histogram:
Histogram with title Food Festival Participants, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79, and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.
What percentage of the participants are ages 40 to 59? Round to the nearest whole percent.
20%
35%
60%
100%
According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.
What is a histogram?A histogram approximately represents a distribution of grouped data with numerical values.
A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.
Age Group (year) Number of People
0 to 19 20
20 to 39 40
40 to 59 60
60 to 79 50
Total 170
Percentage of ages 40 to 59 = 60/170 x 100 = 35.29%
Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.
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Find the slope of the line that contains the points named.
P(1, 2), Q(3, 4)
0-1
01
02
Answer:
If the coordinates of at least two points in the line are given, the slope (m) may be calculated by, m = (y2 - y1) / (x2 - x1
A fish tank has a capacity of 154L.
What is the volume of the fish tank?
The volume of the fish tank required = 0.154 m^3.
A fish tank has a capacity = 154L.
Capacity of fish tank in Litre = Volume of the fish tank in meter cube
So the volume of the fish tank required in cubic meter.
For the volume we required a conversion of litre into meter cube.
Cubic meters and liters are two common metric units of volume.
1 cubic meter is 1000 liters.
To convert liters to cubic meters, you simply need to move the decimal point three places to the left. In other words, divide a value in liters by 1000 to get an answer in cubic meters.
1L = 0.001 m^3
So 154L = 0.154 m^3
So the volume of the fish tank required = 0.154 m^3.
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i need someone to help me with my math test 24 questions please
Answer:
Add the picturess!!!!!
Step-by-step explanation:
some help me pls with this
Solve the equation: r - 535 = 175
Step-by-step explanation:
r - 535 = 175
r = 175 + 535 = 710
Answer:
take - 535 to the other side (over equal to side)
which makes it +535
r = 175 + 535
r = 710
Question 2 (1 point)
Determine the sequence and the common difference.
9, 14, 19, 24
Answer:
5 is added each time. the next numbers are, 29, 34 and 39
Step-by-step explanation:
9+5 = 14 14+5=19 19+5=24
what is the place value of digit 4 in 405799
What is the place value of digit 4 in 405,799:
4: one hundred thousandth place
0: ten thousandth place
5: one thousandth place
7: hundredth place
9: tens place
9: ones place
Answer:
100,000 thousand
Step-by-step explanation:
The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.
which function has the greater y-intercept?
y=-x+6 x: -1, 0, 1, 2, 3
y: 7,6,5,4,3
y=2x-3 x: -1, 0, 1, 2, 3
y: -5, -3, -1, 1, 3
By evaluating in x = 0, we can see that the function with the greater y-intercept is the first one:
y=-x+6
Which function has the greater y-intercept?
For any function y = f(x), we define the y-intercept as the value that y takes when we evaluate the function in x = 0.
For the first function:
y = -x + 6
The y-intercept is:
y = -0 + 6 = 6
While for the second function:
y = 2x - 3
Evaluating in 0 we get:
y = 2*0 - 3 = -3
So the y-intercept of the first function is 6, and the one of the second function is -3.
Then the first function has the greater y-intercept.
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Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?
The number of points scored by Tyger will be 132 points.
What is the number of points?From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.
Therefore, the number of points scored by Tyger will be:
= Points scored by Captain + (Percentage × Captain point)
= 120 + (10% × 120)
= 120 + 12
= 132
Tyger scored 132 points.
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The number of points scored by Tyger will be 132 points.
What is the number of points?From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.
Therefore, the number of points scored by Tyger will be:
= Points scored by Captain + (Percentage × Captain point)
= 120 + (10% × 120)
= 120 + 12
= 132
Tyger scored 132 points.
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The table shows a proportional relationship. x 14 6 26 y 7 3 13 Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (7, 14). A line passes through the point (0, 0) and continues through the point (14, 7). A line passes through the point (0, 0) and continues through the point (3, 6). A line passes through the point (0, 0) and continues through the point (13, 26).
The graph of this proportional relationship would look like this: A line passes through the point (0, 0) and continues through the point (14, 7).
What is a graph?In Mathematics, a graph simply refers a type of chart that is typically used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points passing through the origin (0, 0) because as the values on the x-coordinate (x-axis) increases or decreases, the values on the y-coordinate (y-axis) increases or decreases simultaneously.
By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it passes through both points (0, 0) and (14, 7).
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The base of a triangle is one half of its height. If the area of the triangle is 196 square millimeters,
find its base and height.
Step-by-step explanation:
the area of a triangle is
base × height / 2
in our case
base × height / 2 = 196 mm²
base × height = 392
base = height / 2
so, using that in our main equation :
(height / 2) × height = 392
height² = 784
height = sqrt(784) = 28 mm
base = height / 2 = 28/2 = 14 mm
why is not inverse function??
[tex]f(x) = x {}^{2} - 9[/tex]
The equation formed when x is the subject of the function f(x) = x² - 9, has two values of output for each input value to the function, therefore;
f(x) = x² - 9 does not have an inverse.
What is the inverse of a function?An inverse of a function is an anti function that reverses the values in the output into the input values thereby undoing the operations performed by the function.
A function f has an inverse if and only if it is bijective, such that there is a one to one correspondence between the set of the input elements and the set of the output elements
A function that has an inverse is said to be a bijective or invertible function or a function with one-to-one correspondence
The function in the question f(x) = x² - 9
Making x the subject of the function to verify if it has an inverse gives;
x² = f(x) + 9
[tex]x = \pm\sqrt{f(x) +9}[/tex]
Putting x = f⁻¹(x) gives;
[tex]f^{-1}(x) = \pm\sqrt{x +9}[/tex]
Therefore, each value of x gives two values of f⁻¹(x), such that the set of the output of inverse function, f⁻¹(x) does not have a one-to-one correspondence with the set of values of x.
The function f(x) = x² - 9 is not invertible and therefore does not have an inverse function.
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Given: Gross sales, $170,000; sales returns and allowances, $9,000; beginning inventory, $8,000; net purchases, $18,000; ending inventory, $5,000; and operating expenses, $56,000. a. Calculate net sales. b. Calculate cost of merchandise (goods) sold. c. Calculate gross profit from sales. d. Calculate net income.
The calculation of the following income statement figures are as follows:
a) Net Sales are $161,000.b) Cost of goods sold is $21,000.c) The gross profit from sales is $140,000.d) The net income is $84,000.What is the income statement?The income statement is the first financial statement that summarizes the revenues and expenses for a business period to arrive at different profit points.
One of the profit points is the gross profit, which is the difference between the sales revenue and the cost of goods sold.
The other profit points include the operating income, income before tax, and net income.
Income StatementGross sales $170,000
Sales returns and allowances 9,000
Net Sales $161,000
Cost of goods sold:
Beginning inventory $8,000
Net purchases 18,000
Ending inventory (5,000) $21,000
Gross profit $140,000
Operating expenses (56,000)
Net Income $84,000
Thus, the calculation of the income statement figures shows a net income of $84,000.
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solve the equation 619m + 313m = 2813for m.
Answer:
2813
m = ----------
932
Step-by-step explanation:
619m + 313m = 2813
932m = 2813
÷932 ÷932
2813
m = ----------
932
I hope this helps!
Answer:
[tex]m=\frac{2813}{932}[/tex]
Step-by-step explanation:
Combine like terms:
[tex]{619m}+{313m}=2813{932m}=2813[/tex]
Divide both sides by the same factor:
932m=2813
[tex]\frac{932m}{932}}=\frac{2813}{932}}\\[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]m=\frac{2813}{932}[/tex]
Apply Laws of Exponents to write an equivalent expression for the given expression
Step-by-step explanation:
e⁰ = 1
so, we have
(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)
FYI - depending on what your teacher wants to see as simplified answer, it could be also
1 / (fgh⁶)⁸
or
(1 / (fgh⁶))⁸
but normally it should be the first result form above
1 / (f⁸g⁸h⁴⁸)
Given that f(x)=x+4 and g (x)=3x/x+1 (1) determine the value of f(9)
The value of f(9) is 13
The function f(x) = x + 4
The function g(x) = 3x / x+1
The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input and output.
The function
f(x) = x + 4
We have to find the value of f(9)
We have to substitute the value of x = 9 in the function
f(9) = 9 + 4
Add the terms
f(9) = 13
Hence, the value of f(9) is 13
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A plane car fly 300 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph
slower than the plane, find the speed of the plane.
Using r as your variable to represent the speed of the plane in miles per hour, write an equation
using the information above that can be solved to find the answer to this problem.
Equation:____?
The plane flies___?
The plane flies at a speed of 150mph
A plane can fly 300 miles in the same time as it takes a car to go 120 miles
Let the time taken be t
Let the speed of the plane be x
the car travels 90 mph slower than the plane,
Speed of the car is x - 90
Speed = distance / time
Time taken by plane = time taken by car
300/ x = 120/x - 90
300(x - 90) = 120x
300x - 27000 = 120x
300x - 120x = 27000
180x = 27000
x = 27000/180
x = 150
Therefore, the plane flies at a speed of 150mph
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What is the y intercept of the line -3x+2y=6 ?
O
-3
-2
2
3
Answer:
positive 3
Step-by-step explanation:
Steps:
1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b
-3x + 2y = 6
+3x +3x add 3x to both sides to get 2y by itself
____________
2y = 3x + 6 -3x+3x cancels out and becomes 0
-------------------------
2 divides both sides by 2 to get y by itself
y = (3/2)x + 3
2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.
Determine the value of x below. (only type the numerical value, do not include the degree sign)
By using the fact that the angles are supplementary, we can write and solve a linear equation to find that x = 62.
How to find the value of x?
In the image, we can see two supplementary angles, where by definition, two angles are supplementary if their addition is equal to a plane angle (an angle of 180°).
With that in mind, we can write the linear equation:
x + 118 = 180
So we just need to isolate x in that simple linear equation.
If we subtract 118 in both sides, we will get:
x + 118 - 118 = 180 - 118
x = 62
So the unknown angle has a measure of 62°.
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Rewrite this number in appropriate scientific notation:
answer=
464, 400,000
You may use either X or to represent multiplication.
What is the angle θ in the triangle below?
Answer:
θ = 64.98310506 degrees (65 degrees rounded to unit)
Step-by-step explanation:
4.2 * tanθ = 9
4.2 * tanθ/ 4.2 = 9/4.2
tanθ = 2.142857
θ = arctan 2.142857
θ = 64.98310506
Step-by-step explanation:
using the SOH CAH TOA Rule,
tan 0=opp÷adj
tan 0=9÷4.2
tan 0=2.14
0=tan inverse of 2.14
A famous leaning tower was originally 180.5 feet high At a distance of 125 feet from the base of the tower, the angle of olevation to the top of the tower is found to be 56° Find ZRPQ indicated in the figure. Also find the perpendicular distance from R to PQ
The perpendicular distance from R to PQ is 346 feet.
What are the trigonometric functions?
The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
We have,
consider the sides of leaning tower are,
opposite side of the angle 56° (x) = 180.5 feet.
Adjacent side of the angle 56° (y) = 125 feet.
We know,
[tex]tan\theta =\frac{ opposite \ side}{ adjacent \ side} = \frac{x}{y}[/tex]
[tex]\theta = \ tan^{-1} \left(\frac{ opposite \ side}{ adjacent \ side} \right)[/tex]
The angle of elevation is [tex]\theta = \ tan^{-1} \left(\frac{180.5 }{125} \right)[/tex]
θ = 56°
The perpendicular distance from R to PQ is RQ
[tex]sin\theta = \frac{opposite side}{hypotanous} = \frac{180.5}{y}[/tex]
sin(56) = 180.5/PQ
RQ = 180.5/sin(56)
RQ = - 346.08
RQ = 346 (distance never be negative),
Hence, the perpendicular distance from R to PQ is 346 feet.
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Fill in the blanks to solve 2,000x9
Answer: its 18,0000
Step-by-step explanation: Be smart 2x9= 18+ three 0,s?
Can someone sketch the graph plsss? I rlly need help to sketch it
Answer:
1. Plot x = 0
(A. IF YOU CAN EASILY FIND IT, PLOT Y = 0)
(B. BONUS: PLOT A FEW EASY TO CALCULATE POINTS LIKE X = 1 & X = -1)
2. Figure out what happens when x is really big (in the positive and negative direction)
3. Optional: look for any “significant” x-values
4. Connect the dots and finish!
Step-by-step explanation:
1. Plot x = 0
The first thing we want to do is get some points up on our graph, so we want to pick the ones that will be easy to calculate. For almost any equation, plugging in x = 0 and solving for y is fast and easy to do by eye, and almost always doable without a calculator. For our example equation:
So, the first point we’ll put on our graph is (0, -4).
is the ordered pair (2, 4) a solution to the following equation
5x + 2y = 23?
Answer: Can't Say for sure but probably it is so I would Say Yes.
