The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore, 0.20.
Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.
The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.
The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.
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The number of pollinated flowers as a function of time in days can be represented by the function. f(x)
The average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function [tex]f(x) = (3)^{\frac{x}{2} }[/tex].
In the question, we are asked for the average increase in the number of flowers pollinated per day between days 4 and 10, given that the number of pollinated flowers as a function of time in days can be represented by the function [tex]f(x) = (3)^{\frac{x}{2} }[/tex].
To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula {f(10) - f(4)}/{10 - 4}.
First, we find the value of the function [tex]f(x) = (3)^{\frac{x}{2} }[/tex], for f(10) and f(4).
[tex]f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(10) = (3)^{\frac{10}{2} }\\\Rightarrow f(10) = 3^5 = 243[/tex]
[tex]f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(4) = (3)^{\frac{4}{2} }\\\Rightarrow f(10) = 3^2 = 9[/tex]
Thus, the average increase
= {f(10) - f(4)}/{10 - 4},
= (243 - 9)/(10 - 4),
= 234/6
= 39.
Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function [tex]f(x) = (3)^{\frac{x}{2} }[/tex].
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For complete question, refer to the attachment.
Rick received better results for his Maths test than for his English test. If the sum of his two marks is 163 and the difference is 31, find the mark for each subject.
Answer:
Math = 97
English = 66
Step-by-step explanation:
Let the score of the Math test be x, and the score of the English text be y
Then we have the two equations
[tex]x+y = 163\\x-y = 31[/tex]
To solve for x and y there are multiple ways, one of the easy ways is just to add the two equations together because that would cancel out the y:
[tex]x + x + y -y = 163 +31\\2x = 194\\x = 97\\[/tex]
Then using the x, we can find y by doing
[tex]x+y = 163\\97 + y = 163\\(97 + y) - 97 = (163) - 97\\y = 66[/tex]
Therefore, we have a math score of 97, and an English score of 66.
Choose the correct simplification of the expression ( expression in photo! )
A. G^7h
B. G^3h
C. G^7h^7
D. G^3/h^7
Use the rules of exponents to simplify the expression.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{g^{5}h^{4} }{g^{2}h^{3} } \end{gathered}$}[/tex]
To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator.
[tex]\large\displaystyle\text{$\begin{gathered}\sf g^{5-2}h^{4-3} \end{gathered}$}[/tex]Subtract 2 from 5.
[tex]\large\displaystyle\text{$\begin{gathered}\sf g^{3 }h^{3-2} \end{gathered}$}[/tex]Subtract 3 from 4.
[tex]\large\displaystyle\text{$\begin{gathered}\sf g^{3 }h^{1} \end{gathered}$}[/tex]For any term t, t¹ =t.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf g^{3}h \end{gathered}$} }[/tex]Therefore, the correct option is "B".
20 points
please help me i am in a rush
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
4x-6y=-20
-2x+4y=6
8th grade pre algebra
The values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4
How to Solve Simultaneous Equations?
We are given the simultaneous equations;
4x - 6y = -20 -----(eq 1)
-2x + 4y = 6 -----(eq 2)
Multiply equation 2 by 2 and eq 1 by 1 to get;
-4x + 8y = 12 -----(eq 3)
Add eq 3 to eq 1 to get;
2y = -8
y = -4
Thus;
4x - 6(-4) = -20
4x + 24 = - 20
4x = -20 - 24
4x = -44
x = -44/4
x = -11
Thus, the values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4
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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. which expression represents the probability that both students chosen are sophomores? startfraction (20 c 6) (19 c 5) over 20 c 2 endfraction startfraction (20 p 6) (19 p 5) over 20 p 2 endfraction
The probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
How to determine the probability expression?The given parameters are
Sophomore = 6Freshmen = 14The total number of people is
n = 20
2 of the 20 people are to be selected.
So, the number of selection is
[tex]n = ^nC_r[/tex]
This gives
[tex]n = ^{20}C_2[/tex]
The expression that represents both students being sophomore is
[tex]n = ^{6}C_2[/tex] --- i.e. 2 students selected from 6
The probability is then represented as:
[tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
Hence, the probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
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Answer:
a
Step-by-step explanation:
edge 2023
Two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets?
1) it is not possible to have two sets with the same mean and different standard deviations.
2) the first set of data has values that are closer to the mean because the standard deviation is lower.
3) the first set of data has values that are farther from the mean because the standard deviation is lower.
4) the second set has more data values than the first.
Option 2) the first set of data has values that are closer to the mean because the standard deviation is lower is correct
If two samples have the same mean, then it means that the two values in the two samples are centered around the same value. However, this does not mean that the data values in the samples vary equally around this center and thus the standard deviations may also differ.
It depends what the standard deviations are. The standard deviation is a measure of how close the results are to the mean, a low standard deviation means that the measurements are accurate, so close to the mean. A high standard deviation means that the measurements are more spread out.
We need to find that if two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets
The first set of data has values that are closer to the mean because the standard deviation is lower because in first set standard deviation is 1.4 and in second set standard deviation is 5.7
The one with smaller standard deviation are least spead from the mean
Hence the first set of data has values that are closer to the mean because the standard deviation is lower.
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WILL MAKE BRAINLIEST!! Solve for x
Answer:
5
Step-by-step explanation:
6x+4=34
6x=30
x=5
hope this helps <3
Look at the pic and show your work
We kindly invite to check the image attached below to see the representation of the exponential function. This function shows exponential growth.
How to graph exponential functions
In this occasion we must plot the graph of exponential functions of the form:
y = a · bˣ (1)
Where:
a - Initial valueb - Base of the functionx - Independent valuey - Dependent valueFirst, we need to follow this procedure to create the graph of the curve on Cartesian plane:
Evaluate the function at every x-value.Fill the blanks on table.Mark the rectangular points (x, y) on the Cartesian plane.Match the points.Therefore, we build the exponential curve with the help of a graphing tool (i.e. Desmos), whose result is shown in the image attached below.
From (1) we must understand that exponential functions report growth for b > 1 and decay for 0 < b < 1. Thus, the exponential function y = 3ˣ shows exponential growth according to graphical and analytical findings.
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Does (5,-8),(3,5),(3,-3),(2,8) represent a function
Answer:
No
Step-by-step explanation:
So to determine whether this is a function, we first need to know what a function is. A function is defined as for each input, there is only 1 output.
This output doesn't have to be unique and other inputs can output this output, but it only matters that each input outputs only one output.
So let's look at what you provided and specifically these two points:
(3, 5)
(3, -3)
This input 3, outputs 5 and -3, which is not a function since this input outputted 2 different outputs. One thing to note is had you provided the two points: (3, 5), (3, 5) instead then it would still be a function because the input outputted the same output of 5 both times.
At a 95-percent confidence level, what should be the cutoffs from the left and right sides of a normal distribution?
The cutoffs from the left and right sides of normal distribution at a 95-percent confidence level are 1.96.
What is the confidence level?The confidence level, which is used in statistics, describes the likelihood that the estimation of a statistical parameter's location in a sample survey is also true for the population.
Confidence levels must be decided upon in advance when surveying since they affect the survey's essential scope and error margin. Confidence intervals of 90, 95, and 99 percent are widely employed in surveys.
If the confidence level were set at 95%, there is a very good likelihood that the population's arithmetic mean, as a statistical number, will fall within the survey's established margins of error.
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Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.
How to use inverse variation to represent a situation
Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:
In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.
Based on the statement, we have the following relationship:
F ∝ 1/r²
Where:
F - Electric charge, in newtonsr - Distance between the two electrically charged particles, in centimeters.From such relation, we can determine the resulting force by the following equation:
F/20 = 10²/20²
F = 20 × 10²/20²
F = 5 N
By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.
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According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work
By using Binomial Distribution the probability that exactly 6 workers take the bus to work is 0.001.
What is Binomial Distribution?When every experiment shares the probability of achieving a given value, the number of trials or observations is summarised using the binomial distribution.
The likelihood of observing a specific percentage of successful occurrences in a specific number of trials is determined by the binomial distribution.
The formula for binomial distribution is-
[tex]P(X=x)={ }^{n} C_{k} p^{k}(1-p)^{n-k}[/tex]
'p' is the probability of success,
(1-p) is probability of failure,
'n' is the number of workers,
'k' is number of given workers.
According to the question,
Calculate the probability of success as;
[tex]p=\frac{15}{100}=0.15[/tex]
The, the probability of the failure becomes;
[tex](1-p)=1-0.15=0.85[/tex]
Put above two value in formula of binomial theorem to get the value.
[tex]{ }^{10} C_{6}(0.15)^{6}(0.85)^{4}=0.001[/tex]
Therefore, the probability that exactly 6 workers take the bus to work is 0.001.
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(FIRST TO ANSWER GETS BRAINLIEST OR 5 STARS) For consecutive weeks, the manager of a local restaurant collected data on the number of cheese pizzas sold each week. The data is shown in the scatterplot below.
(scatterplot is below)
Can the given line be used to make reasonable predictions of the number of cheese pizzas that will be sold in upcoming weeks? Explain your reasoning.
Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit
Line of best fitFrom the question, we are to determine if the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks
In the graph, we have a scatterplot.
The line drawn is the line of best fit
Hence,
Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit.
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The temperature was -20.5°F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M. was -5.5°F. Which statement identifies Melissa’s error and the correct answer?A.Melissa multiplied incorrectly. The correct answer is -0.5°F.B.Melissa multiplied incorrectly. The correct answer is 9.5°F.C.Melissa added incorrectly. The correct answer is 4.5°F.D.Melissa added incorrectly. The correct answer is 5.5°F.
The statement which identifies Melissa’s error and the correct answer is; Melissa added incorrectly. The correct answer is 4.5°F
TemperatureInitial temperature = -20.5°FChange in temperature per hour = 5°FNumber of hours = 5New temperature = Initial temperature + (Change in temperature per × Number of hours)
= -20.5°F + (5°F × 5)
= -20.5°F + (25°F)
= 4.5°F
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Answer:
C
Step-by-step explanation:
Which is an equivalent form of the expression 1800(1.2)^-t
Answer:
1800(5/6)^t
Step-by-step explanation:
I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.
Find the measure of the arc or angle indicated by the question mark.
Answer:
FP is 70 degrees 35 times 2 so PD is 180 half a turn minus 70 = 110 degrees
Step-by-step explanation:
what are the differences between cos(x) and cos^-1(x)
cos^-1(x) represents the inverse of cos(x).
Jorge wrote the equation negative 6 x 4 x = 8. what is the value of x? –4 –2 2 4
Option (A) - 4 is the correct answer.
The value of x for linear equation -6x + 4x = 8 is - 4.
What is linear equations in one variable?If a variable's maximum power constantly equals 1, the equation is considered linear equation. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. Here, A is a coefficient, B is a constant, and x is a variable.
The given equation is -6x + 4x = 8.
Simplifying the above equation.
-2x = 8
Now, dividing both sides by -2.
x = -4
Therefore the value of x in equation -6x + 4x = 8 is -4.
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I understand that the question you are looking for is " Jorge wrote the equation -6x + 4x = 8. What is the value of x?
(A) –4
(B) –2
(C) 2
(D) 4 "
Answer: (A): -4
Step-by-step explanation:
It's the correct option.
Lines b and c are parallel. What is the measure of angle 6
The measure of ∠6 is 54 degrees.
How to find the angles in a parallel lines?When parallel lines are cut by a transversal, angle relationship are formed. Therefore,
∠6 = 5x + 9 (vertically opposite angles)
∠6 = ∠2
Hence,
∠2 + 13x + 9 = 180
5x + 9 + 13x + 9 = 180
18x = 162
x = 162 / 18
x = 9
Hence,
∠6 = 5(9) + 9 54°
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HELP PLEASE!!!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Picture below:
The number of angles that are alternate exterior with angle 5 is one, which is angle 11.
What are Alternate Exterior Angles?Alternate exterior angles are formed on the outside of the two parallel lines that are intersected by a transversal, each being located on the opposite side of the transversal.
The alternate exterior angle pairs are two angles that are supplementary. This means they add up to give a sum of 180 degrees.
Considering transversal s and parallel lines t and u, the angle that is an alternate angle to angle 5 is angle 11.
Angle 11 is the only angle that is alternate exterior angles with angle 5. therefore, we can conclude that, the number of angles that are alternate exterior with angle 5 is just 1, which is angle 11.
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In our solar system, 6 of the 8 planets have moons.
What percentage of the planets have moons?
Answer:
75%
Step-by-step explanation:
Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mile, $0.70 for each additional 1⁄2 mile increment.
-Write the piecewise function for 0 to 2 miles.
f(x) = ?
The piecewise function is
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
How to determine the piecewise function?From the question, we have:
Fares = $2.00 ⇒ up to (and including) 1/2 miles
Fares = $0.70 increment ⇒ greater than 1/2 miles
Let x represent the number of miles, and f(x) the fares.
So, we have:
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
The above represents the piecewise function
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PLS HELP IN SUPER STUCK PLEASE HELP
15-point question. Pls help
Answer:
44
Step-by-step explanation:
x + (22 - 13) = 53
x + 9 = 53
x = 44
Answer:
44
Step-by-step explanation:
x+(22-13)=53
x+22-13=53
x+9=53
x=44
2. According to Archimedes, the area of any circle is equal to the area of a right triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Verify this formula for yourself using the formula for the circumference of a circle.
Formula [tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex] for the circumference of a circle.
How did Archimedes find the circumference of a circle?Archimedes stated in his Proposition that the area of a circle is equal to the area of a triangle with a base equal to the circumference and a height equal to the radius: (1/2)(r · 2πr) = πr2. Archimedes arrived at his approximation of the circumference of the circle by increasing the number of sides of the hexagon. Archimedes claimed that the area of any circle is equal to the area of a right triangle, where the radius of the circle is represented by one side and the circumference by the other.
Archimedes demonstrated using a similar method that the area of a circle of diameter D is equal to the area of a right-angled triangle with one side equal to the radius and the other to the circumference of the circle on the right angle.
Formula for the circumference of a circle:
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The circumference is diameter x pi, or 2 x radius x pi.
[tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex].
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What is the point slope equation of a line with slope -3 that contains the point (-8,-4)?
Answer:
y = -3x - 28
Step-by-step explanation:
y = mx + b is the slope-intercept of a line. To write an equation in this form. I need to find the slope (m) and the y-intercept (b). Yay! They gave us the slope (m). It is -3. Now we just need to figure out the y. We can do that by plugging in the slope (-3) and using the x (-8) and the y (-4) that they gave us from the point to solve for b.
y = mx + b
-4 = -3(-8) + b Multiple -3(-8) Remember a negative times a negative is a positive.
-4 = 24 + b Now subtract 24 from both side of the equation
-28 = b Now we can write the equation
y = mx + b
y = -3x + (-28) or y = -3x -28. Adding a negative is the same as subtracting a positive.
Determined to save money and eat healthier, John and his family decide to build a vegetable garden. They order fencing
divide the bottom part of the garden from the top and also to go around the vegetable plot, but not on the outside border
plot. There also needs to be 2 gates measuring 2.5ft that are not fenced.
Use the conversion factors
1 foot = 30.48cm
1 foot = 12 inches
Available fencing panes measure 7 inches in width. How many panels will they need to
buy? Round your answer to the nearest whole number.
panes
10m
Pond
*13m
Gate
6.5m
10m
1.3m
Lawn
Fencing
The answers are:
The perimeter of vegetable plot = 19mArea = 67.6m²Fencing = 32.5mWhat is the perimeter about?Given that:
The perimeter of vegetable plot:
= 4m + 3.5m + 4m + 2m + (3.5 + 2m)
= 19m
Area of vegetable plot:
(1.3 x 5.5) + ( (4 - 1.3) x 3.5)
rounding up to one decimal place = 67.6m²
To know the numbers of meter fence that one can buy, the equation will be:
(perimeter of vegetable plot + the left plot) - gates.
(19m + (6.5 + 4 + (6.5 - 2) ) )m - (2.5ft x 2)
= 19m + 15m - 1.5424m
=32.476
=32.5m
Therefore, the answers are:
The perimeter of vegetable plot = 19mArea = 67.6m²Fencing = 32.5mLearn more about perimeter from
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n this activity, you will apply your understanding of permutations and combinations to calculate probabilities. Use the information in this scenario to answer the questions that follow. Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
In order to determine the number of different groups of three players that are possible for Coach Bennet to select from, we would use a mathematical model referred to as combination.
Mathematically, combination is given by this mathematical equation:
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
Where:
n is the number of items.r is the number of times of choosing items.Substituting the given parameters into the formula, we have;
Number of groups = (⁶C₃ × ⁸C₀) + (⁶C₂ × ⁸C₁) + (⁶C₁ × ⁸C₂) + (⁶C₀ × ⁸C₃)
Number of groups = 20 + 120 + 168 + 56
Number of groups = 364 different groups.
Therefore, there are 364 different groups of three players possible for Coach Bennet to select.
In conclusion, we can infer and logically deduce that this is a combination because the order in which the players are selected isn't important.
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Complete Question:
In this activity, you will apply your understanding of permutations and combinations to calculate probabilities. Use the information in this scenario to answer the questions that follow. Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?
A set of golf clubs and bag cost $225. The clubs cost $60 more than the bag. How much do the clubs cost?
Answer:
$142.5
Step-by-step explanation:
225-60=165
165/2=82.5
82.5+60=142.5