The probability of winning a bet with odds of 7 to 8 in favor is 7/15, or approximately 46.67%.
If you are given odds of 7 to 8 in favor of winning a bet, to find the probability of winning, you need to understand the relationship between odds and probability.
Odds of 7 to 8 means that for every 8 losses, there are 7 wins.
The total number of possibilities is 7 wins + 8 losses = 15 possible outcomes.
To convert odds to probability, you divide the number of ways to win by the total number of possible outcomes:
Probability of winning = 7 wins / 15 total outcomes = 7/15.
Therefore, the probability of winning the bet is 7/15, which can be approximated as 0.4667 or 46.67%.
Coach Rogers listed the number of the different types of balls in the storage room. 10 Baseballs, 4 Basketballs, 12 Softballs, 4 Soccer balls, 20 Tennis balls. What is the ratio of baseballs to all of the balls? *
10:50
Or
1:5
Hope this helps!
The ratio of baseballs to the total number of balls in the storage room is 1:5. For every one baseball, there are five balls of any type.
Explanation:We are looking for the ratio of baseballs to total balls. We find the total by adding the number of each type of balls: 10 (baseballs) + 4 (basketballs) + 12 (softballs) + 4 (soccer balls) + 20 (tennis balls) = 50 balls in total.
Now that we know the total, we can find the ratio of baseballs to the total amount of balls. There are 10 baseballs from a total of 50 balls. Thus, the ratio would be 10:50. Simplified, this ratio would be 1:5. This means for every one baseball, there are five balls of any type.
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Classify -2x4 - x3 + 8x2= 12 by degree.
Answer:
Step-by-step explanation:
Zero in on the highest power of x. It's 4. Thus, this polynomial is of the 4th degree.
Note: Please use " ^ " to indicate exponentiation:
-2x^4 - x^3 + 8x^2 - 12
The equation -2x^4 - x^3 + 8x^2 = 12 is a 4th degree polynomial because the highest power of the variable is 4.
Explanation:The equation given is a polynomial equation, and polynomials are classified by degree, which is the highest power of the variable. In the given equation -2x4 - x3 + 8x2 = 12, we can see that the highest power is 4, which is the degree of the x variable. Thus, this equation is a 4th degree polynomial equation.
The variable with the highest degree is used to classify the polynomial. In this case, the variable x has the highest degree, making it a 4th degree polynomial. The value of the degree helps us to understand the shape of the graph of the equation. In this case, a 4th degree polynomial could have 0, 2, or 4 real roots and the graph can have 2 turning points.
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The function F is defined by F(x)=x^2+3X-10
If f(x+5)=x^2+kx+30, then k= ?
Find the smallest zero of f(x+5) x=?
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Please HELP! Will mark brainliest!
Given the explicit formula for a geometric sequence, find the first 5 terms.
aN = 3^N-1
aN = 2 * (1/4)^n-1
aN = -2.5 * 4^N-1
aN = -4 * 3^N-1
Answer: read below
Step-by-step explanation: 5+5=10-9=1x69= Baby
Unit 5 Lesson 7 POLYNOMIALS AND PROPERTIES OF EXPONENTS UNIT TEST
Supposed you earned 7t - 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify your answers.
A. -t + 4 dollars
B. -t - 6 dollars
C. 15t - 6 dollars
D. 15t + 4 dollars
Answer:
The answer would be D., 15t + 4 dollars.
Step-by-step explanation:
All you have to do is add the like terms. So, do 8t + 7t which equals 15t. Next, do -1 + 5, which equals 4. So, 15t + 4 dollars. Hope this helps!
Answer:
D. 15t + 4 dollars
Step-by-step explanation:
To be able to know the sum of the two days you just have to add them.
7t-1 +(8t+5)=
7t+8t=15t
-1+5=4
The sum of the two days is 15t+4 and this is the total earnings that you are supposedly made on Monday and Tuesday.
Alicia cashed her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck
Answer:
about $63
Step-by-step explanation:
Answer:
[tex]0.5x-42.15>20[/tex]
Step-by-step explanation:
Let x represents the amount of Alicia’s paycheck.
Alicia set aside the other half to take her friends out to dinner. That means she took 0.5x with her for dinner.
She spent 42.15 on dinner and brought home more than 20.00.
So, the inequality will be :
[tex]0.5x-42.15>20[/tex]
Solving for x;
=> [tex]0.5x>20+42.15[/tex]
=> [tex]0.5x>62.15[/tex]
x > 124.30
A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t2+320. How long will it take the rock to reach the river?
A
2.5 seconds
B
3.5 seconds
C
3.8 seconds
D
4.5 seconds
Answer:
The rock will take about 4.5 seconds to reach the river
Step-by-step explanation:
* lets study the situation of the rock
- The rock is dropped means the initial velocity is zero
- The motion is free fall under earth gravity
- The rock dropped from a bridge 320 feet above the river
- The equation of the pathway is h = -16t² + 320
- When the rock reach to the ground the height will be zero
* Now lets substitute h by zero in the equation to find t
∵ h = -16t² + 320
∵ h = 0
∴ 0 = -16t² + 320 ⇒ add 16t² to both sides
∴ 16t² = 320 ⇒ divide both sides by 16
∴ t² = 320/16 = 20
∴ t² = 20 ⇒ take √ for both sides
∴ t = √20 = 2√5 ≅ 4.5 seconds
* The rock will take about 4.5 seconds to reach the river
The final answer is D: 4.5 seconds.
let's go through the solution in more detail.
Given the equation [tex]\( h = -16t^2 + 320 \)[/tex], where [tex]\( h \)[/tex] represents the height of the rock above the river at time [tex]\( t \),[/tex] we're trying to find out when the rock reaches the river, which means its height will be 0.
So, we set [tex]\( h \)[/tex] to 0:
[tex]\[ 0 = -16t^2 + 320 \][/tex]
To solve for [tex]\( t \),[/tex] we isolate [tex]\( t \)[/tex] by moving [tex]\( -16t^2 \)[/tex] to the other side of the equation:
[tex]\[ 16t^2 = 320 \][/tex]
Now, to solve for [tex]\( t \),[/tex] we divide both sides by 16:
[tex]\[ t^2 = \frac{320}{16} \]\[ t^2 = 20 \][/tex]
To find [tex]\( t \),[/tex] we take the square root of both sides:
[tex]\[ t = \sqrt{20} \][/tex]
Now, let's simplify [tex]\( \sqrt{20} \):[/tex]
[tex]\[ \sqrt{20} = \sqrt{4 \times 5} \]\[ \sqrt{20} = \sqrt{4} \times \sqrt{5} \]\[ \sqrt{20} = 2\sqrt{5} \][/tex]
Approximately, [tex]\( \sqrt{5} \)[/tex] is around 2.24, so [tex]\( 2\sqrt{5} \)[/tex] is approximately [tex]\( 2 \times 2.24 \),[/tex] which is approximately 4.48.
So, it will take approximately 4.5 seconds for the rock to reach the river.
Therefore, the correct answer is option D: 4.5 seconds.
If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Why?This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
[tex]f(g(x))=(f\circ} g)(x)[/tex]
So, the given functions are:
[tex]f(x)=x+7\\\\g(x)=\frac{1}{x-13}[/tex]
Then, composing the functions, we have:
[tex]f(g(x))=\frac{1}{x-13}+7\\[/tex]
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Help please. The question is...
Answer:
A (2+3n)÷5
Step-by-step explanation:
Lets break this down into step by step.
1) it says that it is the quotient of two. This means that we are dividing by a number. So the answer has to be dividing. So that means it's A or C
2) it says 2 more than 3 times a number n. This shows that the 2 is adding to 3 times n. so that canceled out C meaning it's A.
which of the following best describes perpendicular lines
a. lines that are coplanar and do not intersect
b. lines that meet at a 90 angle
c. lines that meet at a 45 angle
d. lines that are not in the same plane
Answer:
B.
Step-by-step explanation:
Perpendicular lines always intercept at a right angle (90 degrees).
Answer:
b. lines that meet at a 90 angle
Step-by-step explanation:
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
So, the correct answer is b. lines that meet at a 90 angle.
If you want to know if two equations are perpendicular, take their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.
simplify expression cos^2(pi/2-x) / √1-sin^2(x) =
Answer:
[tex]\frac{cos^2(\frac{\pi}{2}-x)}{\sqrt{1-sin^2(x)}}=\frac{sin^2(x)}{|cos(x)|}[/tex]
Step-by-step explanation:
To simplify this expression you must use the following trigonometric identities
[tex]cos(\frac{\pi}{2}-x) = sinx[/tex] I
[tex]1-sin (x) ^ 2 = cos ^ 2(x)[/tex] II
Remember that
[tex]\sqrt{f(x)^2} =f(x)[/tex]
Only if [tex]f(x)> 0[/tex] for all x
If f(x) is not greater than 0 for all x then
[tex]\sqrt{f(x)^2} =|f(x)|[/tex]
Now we have the expression:
[tex]\frac{cos^2(\frac{\pi}{2}-x)}{\sqrt{1-sin^2(x)}}[/tex]
then using the trigonometric identities I and II we have to:
[tex]\frac{cos^2(\frac{\pi}{2}-x)}{\sqrt{1-sin^2(x)}}=\frac{sin^2(x)}{\sqrt{1-sin^2(x)}}\\\\\\\frac{sin^2(x)}{\sqrt{1-sin^2(x)}}= \frac{sin^2(x)}{\sqrt{cos^2(x)}}[/tex]
[tex]cos(x)[/tex] is not greater or equal than 0 for all x. So.
[tex]\frac{sin^2(x)}{\sqrt{cos^2(x)}}=\frac{sin^2(x)}{|cos(x)|}[/tex]
Finally
[tex]\frac{cos^2(\frac{\pi}{2}-x)}{\sqrt{1-sin^2(x)}}=\frac{sin^2(x)}{|cos(x)|}[/tex]
Find the quotient of 4 and 0
Answer:
0
Step-by-step explanation:
quotient means to divide
4/0=0
The answer is 0
4 divided by 0 is 0
please i want to know how to find slope intercepts
Answer:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Step-by-step explanation:
The general formula is y = mx +b.
m = slope.
b = y-intercept of the line
Which system of measurement is used in most of the world ?
Answer:
The Metric System
Step-by-step explanation:
Answer:
The metric system
Step-by-step explanation:
Because the exact definition is "the decimal measuring system based on the meter, liter, and gram as units of length, capacity, and weight or mass. The system was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and was standardized in France under the Republican government in the 1790s." therefore it would be the metric system because it uses different lengths
Which equation is equivalent to the given equation.
The answer is the first option:
Answer:
Sorry to copy the other answer but plzz give the other person brainlist becuase I am doing a challenge on answering 5 mathematical questions in 2 days.
Step-by-step explanation:
A. (x+7)^2 -12=0
given cos alpha=15/17 in Q1, find cos(alpha/2) And sin(alpha/2)
Answer:
• cos(α/2) = (4/17)√17
• sin(α/2) = (√17)/17
Step-by-step explanation:
The appropriate hαlf-angle identities are:
sin(α/2) = √((1 -cos(α))/2)
cos(α/2) = √((1 +cos(α))/2)
Putting in your given values for cos(α), we have ...
cos(α/2) = √((1 +15/17)/2) = √(16/17) = 4(√17)/17
sin(α/2) = √((1 -15/17)/2) = √(1/17) = (√17)/17
Can someone help me
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³
With what heading should a plane fly in order to fly due south at 450 km/h, if there is a 40 km/h wind blowing from due west? Give answer to the nearest tenth of a degree
A. 84.9°
B. 5.1°
C. 174.9°
D. 185.1°
The answer to this question is the 3rd on (b)
Answer:
the answer is B or C
Step-by-step explanation:
i hope this some what helps
Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
ANSWER
Vertical asymptote:
x=1
Horizontal asymptote:
y=1
EXPLANATION
The given rational function is
[tex]h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 } [/tex]
[tex]h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)} [/tex]
[tex]h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)} [/tex]
[tex]h(x) = \frac{ x + 1}{ {x} - 1} [/tex]
The vertical asymptote occurs at
[tex] {x} - 1 = 0[/tex]
[tex]x = 1[/tex]
The vertical asymptotes is x=1
The degree of the numerator is the same as the degree of the denominator.
The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.
[tex]y = \frac{1}{1} [/tex]
y=1
Answer:
x=1
y=1
Step-by-step explanation:
C on edge!
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!! The line plot shows the weights of packages of meat that members of a club bought. The meat will be mixed with vegetables to make stew for a club dinner. Each serving of the stew contains 1/4 pound of meat. How many servings of the stew can the club make?
Answer:
36
Step-by-step explanation:
Add up all the numbers and divide by 1/4
Answer:
34+2
Step-by-step explanation:
Hair Color/Height Less than 175 cm 175 to 180 cm Above 180 cm Total
Black 28 33 29 90
Brown 37 24 19 80
Blond 21 33 26 80
Total 86 90 74 250
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A.
0.257
B.
0.351
C.
0.360
D.
0.116
Answer:The answer is D. .116 fr Plato
The probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of people who are having black hair and are taller than 180 cm is 29. And the total number of employees in the company is 250. Therefore, the probability that the person is taller than 180 centimeters and has black hair can be written as,
[tex]\rm Probability=\dfrac{\text{Number of people with black hair and taller than 180 cm}}{\text{Total number of employees in the company}}\\\\\\Probability = \dfrac{29}{250} = 0.116[/tex]
Thus, the probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.
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PLEASE ANSWER THIS FOR 98 POINTS!!! I REALLY NEED THIS!!!! I'LL GIVE U BRRAINLIEST IF U GET IT!!!! In an office, each light panel holds two light bulbs. Which of the following shows how the number of light bulbs, y, changes as the number of light panels, x, changes? A.
Y
B.
X
C.
Z
D.
W
Answer:
the second one with points 1,2 and 2,4
Step-by-step explanation:
The graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2. The correct graph id graph 2
How to determine the correct graphSince each light panel holds two light bulbs, the number of light bulbs, y, is directly proportional to the number of light panels, x. This means that as the number of light panels increases, the number of light bulbs will also increase in a linear manner.
The relationship can be represented by the equation:
y = 2x
Where y represents the number of light bulbs and x represents the number of light panels.
The graph representing the relationship between the number of light panels, x, and the number of light bulbs, y, will be a straight line.
In this case, the line will have a positive slope of 2 since each light panel holds two light bulbs. This means that for every increase of one unit in the number of light panels, the number of light bulbs will increase by two units.
The graph will pass through the origin (0, 0) since when there are no light panels (x = 0), there will be no light bulbs (y = 0).
As x increases, y will also increase in a linear manner. The line will extend indefinitely in the positive direction in both the x-axis and y-axis, indicating that the relationship continues without any upper limit.
Visually, the graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2.
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Harry baked a pan of brownies. He gave
1/6 of the pan to his brother, and 2/6 of the
pan to his mom. What fraction of the pan
did Harry give away?
Harry gave away 3/6, or half of the brownies
1/6 plus 2/6 equals 3/6
Harry gave away 3/6 or 1/3 fractions of the pan to his mom and his brother.
What is the addition of fraction?Harry baked a pan of brownies for his brother=1/6
Harry baked a pan of brownies for his mom=2/6
Total pan of brownies harry gave = 1/6+2/6
3/6=1/3
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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solve log(9/x) when x=9
Answer:
0
Step-by-step explanation:
What is the simplified form of the following expression? Assume y=0 ^3 sqrt 12x^2/16y
For this case we must simplify the following expression:
[tex]\sqrt [3] {\frac {12x ^ 2} {16y}}[/tex]
We rewrite the expression as:
[tex]\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\frac{\sqrt[3]{3x^2}}{\sqrt[3]{4y}}=[/tex]
We multiply the numerator and denominator by:
[tex](\sqrt[3]{4y})^2:\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{\sqrt[3]{4y}*(\sqrt[3]{4y})^2}=[/tex]
We use the rule of power[tex]a ^ n * a ^ m = a ^ {n + m}[/tex] in the denominator:
[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{(\sqrt[3]{4y})^3}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{4y}=[/tex]
Move the exponent within the radical:
[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{16y^2}}{4y}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{2^3*(2y^2)}}{4y}=[/tex]
[tex]\frac{2\sqrt[3]{3x^2}*(\sqrt[3]{(2y^2)}}{4y}=\\\frac{2\sqrt[3]{6x^2*y^2}}{4y}=[/tex]
[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]
Answer:
[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]
Answer: choice D
Step-by-step explanation: took it on edge
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Random answers will be reported!
Answer:
C) 0.5
Step-by-step explanation:
Since DE is parallel to AB, angle FDE = ABF and DEF = angle FAB
In fact, both triangles (ABF and DEF) are similar to each other because their interior angles are identical.
So, if sin(A) = 0.5, sin(E) = 0.5 too.
Answer:
C.
0.5
Step-by-step explanation:
Which is the same as 98.52 ÷ 10?
Answer:
9.852 x 10 is the same outcome of 98.52/10. Can I have the brainliest answer?
Hope this helped!!!! :) <3 have a good day ma dude
9.852
but 9.8 if ya want to keep it short.
It just makes sense ¯\_(ツ)_/¯
Find the value of m .
35/50 = m/10
m = ___.
[tex]\frac{35}{50}=\frac{m}{10}[/tex] Multiple 10 on both sides to get m by itself
[tex](10)\frac{35}{50}=\frac{m}{10}(10)[/tex]
[tex]\frac{350}{50}=m[/tex] Simplify
7 = m
First, cross multiply
35 * m = 50 * 10
35m = 500
Then, Divide both sides by 35
m = 500 / 35
m = 14[tex]\frac{2}{7}[/tex] or 14.29
How do you solve this? Pls help
Part of the illustration is carved off.
kevin wants to bake a third of a dozen cupcakes. He used a recipe that yields 24 cupcakes. If the recipe calls for 4 cups of flour, how much flour does kevin need?
Answer:
2/3 of a cup
Step-by-step explanation:
One third of a dozen = 4.
The recipe yields 24.
24 ÷ 4 = 6.
4 cups ÷ 6 = 2/3 of a cup