Answer:
3/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
experimental probability that she will see birds in her garden on July 1 = number of days she saw a bird in June / total number of days in June
= 18/30
To transform to the simplest form. divide both the numerator and the denominator by 6
Alex drove for 3 hours at an average speed of 60 miles per hour and for 2 hours at 45 miles per hour. What is his average speed for the whole journey?
Average speed for the whole journey = 53.67 miles per hour.
What is Speed?
A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.
The Average speed:-
"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".
= total distance/total time
According to the Question
We have;
-------> ALEX drove for 3 hours at a rate of 60 miles per hour.
-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.
We know that;
speed = distance/ time
Now we can write it as;
distance = speed *time
Consider the first statement of the Question;
-------> John drove for 3 hours at a rate of 60 miles per hour.
Here, speed = 60 miles per hour.
Time = 3 hours.
Putting in the above then we get;
distance = 60*3
distance =180
Consider the second statement of the Question;
-------> John drove for 2 hours at a rate of 45 miles per hour.
Here, speed = 45 miles per hour.
Time = 2 hours.
Putting in the above then we get;
distance = 45*2
distance =90
-----> Now find the Average speed of John.
We have;
The distance in the first part;
miles. at time 3 hours.
The distance in the second part;
miles. at time 2 hours.
We have;
The average speed = 53.67 miles per hour
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What is the value of x?
Answer: x=13,3
Step-by-step explanation:
g a helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilometers per minute. if the helicopter passes directly over the white house, at what rate is the distance between the helicopter and the white house changing 1 minute after the helicopter flies over the white house? 1 minute after the helicopter passes over the white house, its distance from the white house is changing at a rate of kilometers per minute.
The distance between the helicopter and the white house is changing at a rate of 1.95 km/min.
We can use the Pythagorean theorem to relate the distance between the helicopter and the white house to the altitude and the distance travelled by helicopter,
distance² = altitude² + distance_traveled²
Differentiating with respect to time, we get:
2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × altitude × \(\frac{d(altitude)}{dt}\) + 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)
Since the helicopter is flying parallel to the ground, its altitude is constant, so \(\frac{d(altitude)}{dt}\) = 0. Also, the distance traveled by helicopter is just its speed times time, so we have,
distance_traveled = speed × time = 2 * 1 = 2 km
Plugging in these values, we get:
2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × (1/2) × 0 + 2 × 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)= 4 × \(\frac{d(distance-traveled)}{dt}\)
Now we need to find \(\frac{d(distance)}{dt}\) when time is 1 minute. To do this, we can use the fact that the helicopter is traveling at a constant speed of 2 km/min, so its distance from the white house is increasing at a rate of 2 km/min. Thus, we have:
\(\frac{d(distance-traveled)}{dt}\) = 2 km/min
Substituting this into our equation, we get:
2 * distance ×\(\frac{d(distance)}{dt}\) = 4 * (2 km/min)
\(\frac{d(distance)}{dt}\) = 4 km/min
We still need to find the value of distance at the moment when the helicopter is 1 minute past the white house. Using the Pythagorean theorem, we have:
distance² = altitude² + distance_traveled² = (1/2)² + 2² = 17/4
distance = √(17)/2 km
Plugging this value into our expression for \(\frac{d(distance)}{dt}\) , we get:
\(\frac{d(distance)}{dt}\) = 4 km/min / √(17)/2 km = 8/√(17) km/min ≈ 1.95 km/min.
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I will mark your answer Brainliest if you help me!!! 10 points if you help me!!!!
Why did my teacher randomly put 0x^2y and 0xy^2 when there is no actual way the terms were taken out?
Answer:
some times the teacher will add random numbers or letter to confuse you to see if you know the math my teacher does the same thing
Find the period of the function f(x) = cos(2.22x+0.19). Provide four decimal places. Answer:______ Find the period of the function f(x) = sin(1.05x). Provide four decimal places. Answer:______
The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x) is 5.9834
The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.
For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323
For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834
So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.
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Answer Choice
A)Sophomore Class
B) P.E. Classes
C)Math CLub members
D)entire student body
if we call checkweather, what is the maximum number of functions that can be called (including checkweather)?
At least three functions can be called, including checkweather. The other two functions can be any other functions that the program contains.
The maximum number of functions that can be called when calling the checkweather function depends on the program. If the program contains other functions, then up to three functions can be called, including the checkweather function. When calling the checkweather function, the first function that will be called is the checkweather function itself. After the checkweather function is called, the program will then proceed to call any other functions that have been determined by the program. This means that the maximum number of functions that can be called is at least two, with the checkweather function being one of them.In addition, if the program contains additional functions, then the maximum number of functions that can be called increases to three. For example, if the program contains functions to display the weather forecast, to check the temperature and to generate an alert, then these functions can also be called in addition to the checkweather function. In this case, the maximum number of functions that can be called is three, with the checkweather function still being one of them.
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Using faucet P, you can fill a sink in 10 minutes. Faucet Q takes only 8 minutes to fill the same sink. How long will it take to fill the sink using both faucets together?
It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it takes to fill the sink using both faucets together, hence:
(1/10 + 1/8)t = 1
t = 4.44 minutes
It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together
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Answer:
4 4/9
Step-by-step explanation:
State whether the following categorical propositions are of the form A, I, E, or O. Identify the subject class and the predicate class. (1) Some cats like turkey. (2) There are burglars coming in the window. (3) Everyone will be robbed.
Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.
The given categorical propositions and their forms are as follows:
(1) Some cats like turkey - Form: I:
Subject class: Cats,
Predicate class: Turkey
(2) There are burglars coming in the window - Form: E:
Subject class: Burglars,
Predicate class: Not coming in the window
(3) Everyone will be robbed - Form: A:
Subject class: Everyone,
Predicate class: Being robbed
In the first statement:
Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.
In the second statement:
There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.
In the third statement:
Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.
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Can somebody help in numer 12?
Answer: 72
Step-by-step explanation:
60mins times 24 hours = 1440
103680 / 1440 = 72
Add:
25 + 1-14 +3
A 42
B 53
C14
D 37
Answer:
None of the answers are right the answer is 15
Step-by-step explanation:
25 plus 1 equals 26, and 26 minus 14 equals 12, and 12 plus 3 equals 15, so I don't think that any of the answers are correct.
Answer:
The answer is 15 (none on option)
Step-by-step explanation:
25+1-14+3
= (25+1+3)-14
= (26+3)-14
= 29-14
= 15
If n represents a number, then write an
expression for two less than one fourth of n.
Answer:
n = n/4 - 2
Step-by-step explanation:
n = 1/4 * n - 2
= n/4 - 2
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out an orange tile?
fraction 18 over 26
fraction 24 over 26
fraction 24 over 50
fraction 26 over 50
Answer: 26/50
Step-by-step explanation:
(1) Determine the convergence of the series ∑[infinity]
n=1
(−1)n
4n.
(2) Determine the convergence of the series ∑[infinity]
n=1
n(−1)n
3.5n.
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:
1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)
This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\) satisfies the following conditions:
1. The terms \(b_n\) are positive and decreasing for all n.
2. The limit of \(b_n\) as n approaches infinity is zero.
In our case, \(b_n = 1/(4n)\). Let's check the conditions:
Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.
Condition 2: Let's calculate the limit of b_n as n approaches infinity:
\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.
2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)
To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:
\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)
1. If L < 1, the series converges absolutely.
2. If L > 1, the series diverges.
3. If L = 1, the test is inconclusive.
In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:
\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)
\(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)
\(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)
\(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)
Taking the limit as n approaches infinity:
\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)
Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
Therefore, both series converge.
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(1,9) and (6,34) What is that slope
factorise: 6x^2 – 5 x – 6
Step-by-step explanation:
I think it will help you.
Look at the example
Let's use mid-term splitation
\(\\ \rm\rightarrowtail 6x^2-5x-6\)
\(\\ \rm\rightarrowtail 6x^2+4x-9x-6\)
\(\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)\)
\(\\ \rm\rightarrowtail (2x-3)(3x+2)\)
The terminal side of θ in standard position contains the
given point. Find the values of the six trigonometric functions of
θ.
( 4 , 3 )
Answer: Read the step by step explanation for the answer
Step-by-step explanation:
We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point (4, 3) and the origin (0, 0):
r = √(4² + 3²) = 5
Then we can use the coordinates of the point (4, 3) to determine the values of the trigonometric functions:
sin(θ) = opposite/hypotenuse = 3/5
cos(θ) = adjacent/hypotenuse = 4/5
tan(θ) = opposite/adjacent = 3/4
csc(θ) = hypotenuse/opposite = 5/3
sec(θ) = hypotenuse/adjacent = 5/4
cot(θ) = adjacent/opposite = 4/3
Therefore, the values of the six trigonometric functions of θ are:
sin(θ) = 3/5
cos(θ) = 4/5
tan(θ) = 3/4
csc(θ) = 5/3
sec(θ) = 5/4
cot(θ) = 4/3
solve t^2y'+2ty-y^3=0
The general solution to the given differential equation is
y = ± √(1 / (2ln|t| + 4/t - C2))
Solution to the differential equationTo solve the given differential equation, we can use the method of separable variables. Let's go through the steps:
Rearrange the equation to separate the variables:
t^2y' + 2ty - y^3 = 0
Divide both sides of the equation by t^2:
y' + (2y/t) - (y^3/t^2) = 0
Now, we can rewrite the equation as:
y' + (2y/t) = (y^3/t^2)
Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:
(1/y^3)dy = (1/t - 2/t^2)dt
Integrate both sides of the equation:
∫(1/y^3)dy = ∫(1/t - 2/t^2)dt
To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.
-1/2 ∫du = ∫(1/t - 2/t^2)dt
-1/2 u = ln|t| + 2/t + C1
-1/2 (y^(-2)) = ln|t| + 2/t + C1
Multiply through by -2:
y^(-2) = -2ln|t| - 4/t + C2
Now, take the reciprocal of both sides to solve for y:
y^2 = (-1) / (-2ln|t| - 4/t + C2)
y^2 = 1 / (2ln|t| + 4/t - C2)
Finally, taking the square root:
y = ± √(1 / (2ln|t| + 4/t - C2))
Therefore, the general solution to the given differential equation is:
y = ± √(1 / (2ln|t| + 4/t - C2))
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Nyle is hiking down a mountain at a steady rate for 10 minutes. If the change in elevation is -250 feet , how many feet did Nyle hike per minute
Using proportions, it is found that Nyle hiked 25 feet per minute.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion that we want to find in this problem is the number of miles hiked per minute. We have that he hiked 250 feet in 10 minutes, as the negative corresponds only to the direction, hence:
v = 250/10 = 25.
Hence Nyle hiked 25 feet per minute.
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five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
will u simplify -164
Answer:
No, I will not simplify -164
Step-by-step explanation:
You can not Simplify -164
so the answer will be you can not simplify it
PLEASE GUYS IM DESPRATE
Answer:
Step-by-step explanation:
Putting values in the equation
-(-3)-(2)3+ (-2) (3)
3 - 8 + (- 6)
-5 - 6
= - 11
Answer:
-11
Step-by-step explanation:
-(-3)-(2^3)+(-3)2
3-8-6=-11
How many natural numbers are between 97 through 256?
Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you
Step-by-step explanation:
There are 156 natural numbers between 97 and 256.
What are the Natural Numbers?Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.
Given data as :
The natural numbers are 97 and 256
To determine the numbers between the following, firstly subtract them and then subtract 2 to it.
97 and 256
⇒ 256 - 97
⇒ 158
Substract 2 from it.
= 158 -2
= 156
Thus, there are 156 natural numbers between 97 and 256.
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Which unit rate is the lowest price per ounce? (1 point) Choice A: 30 ounces of chocolate chips for $2.49 Choice B: 40 ounces of chocolate chips for $3.32 Question 1 options: 1) Choice A 2) Choice B 3) The unit rates are equal. 4) The unit rates cannot be determined.
Answer:
choice a and b are equal
Step-by-step explanation:
You divide 30÷2,49
and 40÷3,32 they both equal 12,04
Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y. (help pls)
The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.
What is the measure of angle Y?As evident in the task content; ∠S and ∠Y are complementary.
Therefore; m∠S + m∠Y = 90°.
Also, since; m∠S = 3(m∠Y) − 70°.
By substitution;
3(m∠Y) − 70° + m∠Y = 90°
4m∠Y = 160°
m∠Y = 40°.
Ultimately, the measure of angle Y as required is; m∠Y = 40°.
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Question 6 (1 point) ✓ Saved Shown is the graph of a parabola, y = f(x), with vertex (2,-1). What is the vertex of the parabola y = f(x) + 1? Ä (2,0) A/
The given graph of a parabola is shown below: Here, the vertex is given as (2, -1).
Let us add 1 to the function, which is given by y = f(x) + 1, which will shift the graph 1 unit upwards.
The vertex form of the parabola is given by:y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Considering the given parabola: y = f(x), with vertex (2,-1). Then the vertex form of the given parabola is:
y = a(x - 2)^2 - 1 ---(1)
Comparing this equation with the standard vertex form of a parabola,y = a(x - h)^2 + k,we have h = 2 and k = -1.
Now, let us add 1 to this function, y = f(x) + 1, which will shift the graph 1 unit upwards, so the new equation will be:
y = a(x - 2)^2 - 1 + 1 => y = a(x - 2)^2.
The vertex of this new parabola y = f(x) + 1 can be obtained by comparing it with the standard vertex form y = a(x - h)^2 + k, where h and k are the coordinates of the vertex of the parabola.
Hence the vertex of the parabola y = f(x) + 1 is (2, 0).
Therefore, the correct option is (A) (2,0).
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10+ Points)
Which is the graph of a proportional relationship?
Answer:
A
Step-by-step explanation:
The graph representing a proportional relationship is a straight line graph passing through the origin.
This is shown in graph A
To investigate, a researcher measures the heights and metacarpal lengths of 200 adults. In making the scatterplot, the researcher should:
To investigate, a researcher measures the heights and metacarpal lengths of 200 adults. In making the scatterplot, the researcher should ensure that the scales on the x-axis and y-axis are the same.
The scatter plot is a graphical representation of the relationship between two variables. The heights and metacarpal lengths of the 200 adults are two variables, and a scatterplot can be used to illustrate their connection.
When making a scatterplot, the researcher should make sure that the scales on the x-axis and y-axis are identical. This way, each point on the plot reflects an accurate representation of the relationship between the two variables. The scatter plot is used to examine the association between two continuous variables. The horizontal axis represents the values of one variable, while the vertical axis represents the values of the other variable.
In summary, when making a scatter plot, the researcher should ensure that the scales on the x-axis and y-axis are the same. The horizontal axis shows the values of one variable, while the vertical axis shows the values of the other variable.
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-1 + 10v + 3 = -5 + 9v
Answer: I think your answer is v = -7
Step-by-step explanation: Sorry if that's not the answer to your question
Hope it helped :D
help with polynomails