The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The experimental probability of an event happening is the ratio of the number of times the event occurred to the total number of trials.
In this case, the event is a train arriving on time, and the trials are the last 18 trains to arrive at Law Station.
Out of the last 18 trains to arrive at Law Station, 16 were on time.
The experimental probability of the next train to arrive on time is
= 16/18
Simplifying this fraction, we get:
= 8/9
Thus,
The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.
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Final answer:
The experimental probability that the next train will arrive on time at the law station, given that 16 out of the last 18 trains were on time, is approximately 88.9% or 8/9.
Explanation:
The question asks about the experimental probability that the next train to arrive at the law station will be on time given past performance. To calculate this, you use the formula for experimental probability, which is:
Probability = (Number of successful outcomes) / (Total number of trials)
In this case, the number of successful outcomes (trains that arrived on time) is 16, and the total number of trials (total trains arrived) is 18. Therefore, the experimental probability that the next train to arrive will be on time is:
16/18 = 8/9 ≈ 0.889
So, there is approximately an 88.9% chance that the next train will arrive on time based on past results.
What is the length of this line? 30 POINTS!!
Answer:
61
Step-by-step explanation:
The first thing that you want to do is distance formula
[tex]d=(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2}[/tex]
I'm going to make the start of the line at (1,1) and that means that the end of the line is at (7,6). Now, you plug these numbers into the formula.
[tex]d=(7-1 )^{2} + (6-1 )^{2}[/tex]
Then you slove
[tex]d=(6 )^{2} + (5 )^{2[/tex]
[tex]d=36 + 25[/tex]
[tex]d=61[/tex]
Distance formula: d =√(x2-x1^2 +y2-y1^2)
Find the points of the line: (2,2) and (8, 7)
Length = √((8-2)^2 + (7-2)^2)
Length = √(6^2 + 5^2)
Length = √(36+25)
Length = √61 ( exact answer) or as a decimal: 7.81
The location of point D is (7,1) the location of point F is (5,4). Determine the location of point E which is 1/3 of the way from D to F
Answer:
( 19/3 , 2 )
Step-by-step explanation:
Given in the question,
point D(7,1)
x1 = 7
y1 = 1
point F(5,4)
x2 = 5
y2 = 4
Location of point E which is 1/3 of the way from D to F
which means ratio of point E from D to F is 1 : 2
a : b
1 : 2
xk = [tex]x1 + \frac{a}{a+b}(x2-x1)[/tex]
yk = [tex]y1 + \frac{a}{a+b}(y2-y1)[/tex]
Plug values in the equation
xk = 7 + (1)/(1+2) (5-7)
xk = 19/3
yk = 1 + (1)/(1+2)(4-1)
yk = 2
A survey was taken among female and male voters and which candidates they voted for.
Below is the two-way table that summarizes the data.
Candidate A Candidate B
Female 32 43
Male 36 39
Of the male voters, approximately what proportion voted for Candidate A?
Answer: its 48% i took the test
Step-by-step explanation:
Answer:
the actual answer is 43%
Step-by-step explanation:
Please help me with the answers.
For this case we have that the equation of a line in the slope form intersection is given by:[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with the y axis.
In the green graph we observe that[tex]b = 2[/tex], then its equation is [tex]y = 5x + 2[/tex]
We have the slope of the red line substituting two points:
[tex](0,2)\\(-1,0)[/tex]
[tex]m = \frac {0-2} {- 1-0} = 2[/tex]
Thus, the red line has equation[tex]y = 2x + 3[/tex]
Finally, the blue line is [tex]y = 3x + 3[/tex]
Answer:
Green line, y = 5x + 2
Red line, y = 2x + 3
Blue line, y = 3x + 3
Answer:
1 - green line: y = 5x + 2
2 - red line: y = 3x + 3
3 - blue line: y = 2x + 3
Step-by-step explanation:
1 - green line
The graph with the green line is the easiest to match with an equation.
If you look at the graph, you see that when x = 0, the y-value is 2.
There's only one of the given equations that y = 2 when x = 0, the first one.
y = 5x + 2
y = 5 (0) + 2 = 0 + 2 = 2
It's easy to spot, because in the format y = mx + b, the b is the value of Y when x = 0, as we just demonstrated.
2 - Red line
In this case, when x = 0, y = 3. And there are 2 equations for which it's true... which is normal because the blue line (in next graph) also passes by this point.
Then to know which equation goes with the red line graph, we have two choices...
A. determine the slope (rate of change) of the red line and see if it matches one of the equations.
B. See what value of X yields a value of 0 for Y and see where it would land on the X-axis.
The second method is faster. If you see on the graph, when y = 0, x = -1
If we take the 2nd equation (y = 3x + 3) and we set the value of y to 0, we have:
0 = 3x + 3
-3 = 3x
x = -1
Which is exactly what we wanted to find.
So, the red line is y = 3x + 3
3. blue line
Well, there's only one answer left (y = 2x + 3), so it's easy... but let's make sure by finding the slope (method A listed for the red line above), in case your teacher would be playing tricks on you.
The slope of a line is the variation of y-value (Δy) divided by the variation of x-value (Δx).
If we take the two points where the blue line crosses the axis, we have (-1.5, 0) and (0,3).
Now, let's calculate the slope:
S = (0 - 3) / (-1.5 - 0) = -3 / -1.5 = 2
And 2 is the slope of the equation y = 2x + 3
So, we're good.
Find the side length of a square which has an area of 81 sq in. and a perimeter of
36 in.
Answer:
Area of 81 sq in: 40.2
Perimeter of 36 in : 9
Step-by-step explanation:
Hope I'm right! :)
Answer:
9 inches
Step-by-step explanation:
A square has an area of 81 in^2
A = s^2
81 = s^2
Take the square root of each side
sqrt(81) = sqrt(s^2)
9 = s
The side length is 9 inches
A square has a perimeter of 36 in
P = 4s
36 = 4s
Divide each side by 4
36/4 = 4s/4
9 = s
Each side is 9 inches
What is the reciprocal of cos0
Answer:
secΘ
Step-by-step explanation:
The reciprocal of cos x is
[tex]\frac{1}{cosx}[/tex] = sec x
reciprocal of cosΘ is secΘ
Answer:
The answer is secΘ
Help with the question attached below
Answer:
Exact volume = 294π in³
Approximate volume = 923.6 in³
Explanation:
The volume of a cylinder can be calculated using the following rule:
volume = πr²h
where r is the radius and h is the height of the cylinder
In the given cylinder:
radius = r = 7 in
height = h = 6 in
Substitute with the givens in the formula to get the volume:
Volume of cylinder = πr²h = π(7)²(6) = 294π in³ ≈ 923.6 in³ to the nearest tenth
Hope this helps :)
What is the dependent variable in the experiment?
A)
amount of fertilizer
B)
number of plants
C)
mass of plant
D)
death rate
Answer:
D
Step-by-step explanation:
The dependent variable in the experiment will be the number of plants.
What is the dependent variable?The dependent variable is the variable that is being measured or tested in an experiment. it is the variable whose value depends upon the other variables if we change that independent variable the value of the dependent variable changes.
here in the question dependent variable in the experiment will be the number of plants.
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I need this answered asap pls
Answer:Step-by-step explanation:
The sine of 35 degrees = x / 15
x = sine (35) * 15
x = 0.57358 * 15
x = 8.6037
Does 15,20,25 represent a pythagorean triple?
Answer:
This is a Pythagorean triple.
Step-by-step explanation:
In order to find this, use the Pythagorean Theorem to and see if it gives a true statement.
a^2 + b^2 = c^2
15^2 + 20^2 = 25^2
225 + 400 = 625
625 = 625
Since this is a true statement, we know that this is a Pythagorean Triple.
what is the standard form of the equation?
Answer:
hello : y = 3x² -24x +26 ......answer: C
Step-by-step explanation:
y = 3(x-4)² -22
by idetity : (x-4)² = x²- 8x+16
y = 3(x²- 8x+16 ) -22
y = 3x² - 24x +48 -22
y = 3x² -24x +26 ......answer: C
Ryan bought 3 books and a magazine . He paid $30 and relieved $5 change if the magazine cost twice as much as each book, find the cost of the magazine.
please explain in algebra only :)
To find the cost of the magazine, represent the cost of each book as 'x'. Use the given information to set up an equation and solve for 'x'.
Explanation:To find the cost of the magazine, let's represent the cost of each book as 'x'. Since the magazine costs twice as much as each book, we can represent the cost of the magazine as '2x'.
According to the problem, Ryan bought 3 books and a magazine and paid $30. We can write this information as an equation:
3x + 2x = 30
Combining like terms, we get:
5x = 30
To isolate the variable 'x', we divide both sides of the equation by 5:
x = 6
Therefore, each book costs $6 and the magazine costs twice as much, which is $12.
The cost of the magazine is $10.
Let's denote the cost of each book as B and the cost of the magazine as M. According to the given information:
Ryan bought 3 books and a magazine, so the total cost is 3B + M.He paid $30 in total, so we have the equation 3B + M = 30.He received $5 in change, which means the total cost minus the payment is equal to the change: 3B + M - 30 = -5.Now, we also know that the magazine costs twice as much as each book, so M = 2B. Substitute M with 2B in the equations:
3B + 2B = 25 (Replace M with 2B in the first equation)5B = 25 (Combine like terms)B = 5 (Divide both sides by 5)Now that we know the cost of each book (B = 6), we can find the cost of the magazine (M) using M = 2B:
M = 2 times 5 = 10
So, the cost of the magazine is $10.
45,60,75,75,80,80,85,90,90,90,90,95,95,95,100
Can someone find the MAD
Answer:
11.066666666667 or simplified 12
Step-by-step explanation:
Answer: 11.0667
Step-by-step explanation:
= Mean just incase you need is :
83
And population size just incase you need as well is :
15
* Hopefully this helps:) Mark me the brainliest:)!!
~234483279c20~
What is 3.375 written as a fraction in simplest form
27/8
try the internet, it helps
The required, 3.375 can be written as the fraction 27/8 in simplest form.
To write 3.375 as a fraction in simplest form, we can follow these steps:
Count the number of decimal places. In this case, there are three decimal places in 3.375.Remove the decimal point and write the number as the numerator of the fraction. In this case, we have 3375 as the numerator.The denominator of the fraction is determined by the number of decimal places. Since there are three decimal places, the denominator is 10^3 = 1000.Simplify the fraction if possible. In this case, the fraction 3375/1000 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 125. Dividing 3375 by 125 and dividing 1000 by 125 gives us the simplified fraction 27/8.Therefore, 3.375 can be written as the fraction 27/8 in simplest form.
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ill give brainliest pls help i am so stuck
The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
Part A:
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
(3 ,5 ) is the solution to the equations of lines A and B.
Step-by-step explanation:
Part A:
We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;
A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;
(change in y) / (change in x)
The slope of line A is thus;
(2 - 6)/(6 - 2) = -1
A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
On the other hand, the slope of line B is;
(6 - 3) / (4.5 - 0) = 2/3
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
What is the solution to the equations of lines A and B?
We first need to determine the equation of each line;
Line A, the slope was found to be -1 and the line passes through (2,6)
The equation of the line in slope intercept form is;
y = -x + c
6 = -2 + c
c = 8
y = -x + 8
On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;
y = 2/3x + c
3 = 2/3 (0) + c
c= 3
y = (2/3)x + 3
The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.
The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.
Answer:
Other guy is correct :)
Step-by-step explanation:
what is the greatest common factor of 42 and 84
what is the least common multiple of 4 and 10
Answer:
The gcf of 42 and 84 is 42. The lcm of 4 and 10 is 20.
Step-by-step explanation:
We will now calculate the prime factors of 42 and 84, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 84.We found the factors and prime factorization of 42 and 84. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 84 is 42.
The Least Common Multiple (LCM) of the numbers
4, 10
is
20
because 20 is the smallest number that all of the numbers divide into evenly.
The greatest common factor of 42 and 84 is 42
The least common multiple of 4 and 10 is 20
What is the greatest common factor of 42 and 84?A factor refers to a number or an algebraic expression that divides another number or expression evenly, that is, with no remainder.
42 = 1, 2, 3, 6, 7, 14, 21 and 42.
84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The greatest common factor of 42 and 84 is 42
least common multiple of 4 and 10
Find the multiples of 4 and 10
4 = 4, 8, 12, 16, 20, 24
10 = 10, 20, 30
The least common multiple of 4 and 10 is 20
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What is a quadratic function (f) whose zeros are 2 and -11
Answer:
f(x) = x² + 9x - 22
Step-by-step explanation:
Given that x = 2 and x = - 11 are zeros, then
(x - 2) and (x + 11) are factors
and f(x) equals the product of the factors
f(x) = (x - 2)(x + 11) ← expand factors
f(x) = x² + 9x - 22 ← is a possible function
The quadratic function [tex]\( f \)[/tex] with zeros at [tex]\( x = 2 \) and \( x = -11 \)[/tex] can be written in factored form as: [tex]\[ f(x) = x^2 + 9x - 22 \][/tex]
The standard form of a quadratic function is:
[tex]\[ f(x) = ax^2 + bx + c \][/tex]
To convert the factored form to standard form, we expand the factors:
[tex]\[ f(x) = a(x^2 + 11x - 2x - 22) \] \[ f(x) = a(x^2 + 9x - 22) \] \[ f(x) = ax^2 + 9ax - 22a \][/tex]
[tex]\[ b = 9a \] \[ c = -22a \][/tex]
So, the quadratic function with zeros at [tex]\( x = 2 \) and \( x = -11 \) is:[/tex]
[tex]\[ f(x) = ax^2 + 9ax - 22a \] \[ f(x) = x^2 + 9x - 22 \][/tex]
What is the angle of B. Round your answer to the nearest hundredth
Answer:
B = 53.13
Step-by-step explanation:
Since this is a right triangle, we can use the tan function
tan B = opposite side/ adjacent side
tan B = 4/3
Take the inverse tan of each side
tan ^-1 (tan B) = tan^-1 (4/3)
B = 53.13010235
To the nearest hundredth
B = 53.13
sarabeth is making beaded necklaces to give to five of her friends for homecoming she has 10 ft of elastic string each necklace takes 20in of string that sarabeth have enough elastic string to make the necklaces for her friends justify your answer by showing work and writing a complete sentence
Answer:
Yes, she has enough strong to make necklaces for five friends
Step-by-step explanation:
10 ft= 120 inches
120/20 9=in per necklace= 6
she has enough to make 6 necklaces and she only has to make five so yes
A rectangular brick walkway has a length of ten feet and a width of four feet.The length and the width of the walkway will each be expanded by 25%.What will be the increase in the area,in square feet,of the walkway
Answer:
[tex]\boxed{\text{22.5 ft}^{2}}[/tex]
Step-by-step explanation:
Existing walkway
l = 10 ft
w = 4 ft
A₁ = lw = 10 ft × 4 ft = 40 ft²
New walkway
Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.
New length = 10 × 1.25 = 12.5 ft
New width = 4 × 1.25 = 5 ft
A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²
Increase in area
A₂ - A₁ = 62.5 – 40 = 22.5 ft²
The increase in area is [tex]\boxed{\textbf{22.5 ft}^{2}}[/tex]
Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.
No, because the circumference equals c=diameter and there is no pi in 125.6.
No, because the circumference equals c=diameter so he could only find the diameter. He needs the radius for the area formula.
Answer:
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
Answer:
the answer is A
Step-by-step explanation:
when 27x2z/-3x2z4 is completely simplified, the exponent on the variable z is _____.
Answer:
0
Step-by-step explanation:
(27x)(2z)/(-3x)(2z)(4)
-9/4
When you divide 2z by 2z, there is an imaginary exponent 1 on the z's. The rule for dividing numbers with exponents is to subtract the exponents. So, 2z/2z = 1(z^1-1) = 1(z^0) = 1
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?
Answer:
The volume of the pyramid is [tex]V=187\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the base of the pyramid
H is the height of the pyramid
we have
[tex]B=93.5\ ft^{2}[/tex]
[tex]H=6\ ft[/tex]
substitute
[tex]V=\frac{1}{3}(93.5)(6)=187\ ft^{3}[/tex]
Answer:The answer is 187 ft to the 3 power
I need help with this !!
Answer:
A.
Step-by-step explanation:
btw this is a biology question, but the reason it's A because think of external+ outside. all the other multiple choices are internal. Such as when you're hungry that's inside of your body same as being thirsty
Answer: a rabbit runs away from a fox that is chasing it
Step-by-step explanation: External stimuli is a reaction. So the rabbit running away from the fox would be a reaction
slope intercept form of 3x - 7y = 0
Answer:
y = 3/7 x
Step-by-step explanation:
Slope intercept form y = mx + b
In this case 3x - 7y = 0
7y = 3x
y = 3/7 x (b = 0)
Answer:
y= 0- 3x over -7
Step-by-step explanation: Slope intercept form is Y= mx+ b
Hope this helps
Solve for c please
5x-10=2-2x+10(x-3)
Answer:
x = 6
Step-by-step explanation:
5x - 10 = 2 - 2x + 10(x - 3)
Opening the brackets;
5x - 10 = 2 - 2x + 10x - 30
Putting the like terms together;
10x - 5x - 2x = 30 - 10 - 2
3x = 18
x = [tex]\frac{18}{3}[/tex] = 6
Final answer:
To find the value of x in the given equation, rearrange it to standard form, combine like terms, then isolate x to solve for its value.
Explanation:
Solving the equation: 5x-10=2-2x+10(x-3)
1. Rearrange the equation to standard quadratic form: 5x - 10 = 2 - 2x + 10x - 30
2. Simplify and combine like terms: 5x - 10 = -28 + 8x
3. Bring all terms to one side to get: 3x = 18
4. Solve for x: x = 18/3 = 6
What set of reflections would carry triangle ABC onto itself?
d, 'y-axis, x-axis, y-axis, x-axis'
its the correct answer on the test :)) Goodluck !
The correct set of reflections that would carry triangle ABC onto itself is:
d. y-axis, x-axis, y-axis, x-axis
As per the shown graph, the coordinates of the vertices:
A(0,2)
B(2,4)
C(3,0)
We observe that the y-axis is the vertical line passing through x = 0, and the x-axis is the horizontal line passing through y = 0.
By analyzing the positions of the vertices, we can see that the triangle has rotational symmetry of 180 degrees around points (1, 2) and reflectional symmetry across both the x-axis and the y-axis.
Therefore, the correct set of reflections that would carry triangle ABC onto itself is:
d. y-axis, x-axis, y-axis, x-axis
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A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green die shows an even number?
Using it's concept, it is found that there is a [tex]\frac{3}{4}[/tex] probability that the red die shows an even number or the green die shows an even number.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A die has six sides, of which three are even and three are odd, hence:
P(A) = 3/6 = 1/2.P(B) = 3/6 = 1.2.P(A and B) = P(A)*P(B) = 1/4.The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Hence:
[tex]P(A \cup B) = \frac{1}{2} + \frac{1}{2} - \frac{1}{4} = \frac{3}{4}[/tex]
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what percent of a data set represented in Q1
Answer:
25%
Step-by-step explanation:
25% between min and Q1
25% between Q1 and median
25% between median and Q3
25% between Q3 and max
25% but its the beginning
John has 4 yards of fabric. Jane has 120 inches of fabric. Who has more fabric? How much more?
john because 1 yard is equal to 3 ft, 4x3=12 ft
Final answer:
Jane has more fabric than John with a difference of 24 inches.
Explanation:
To compare the amount of fabric John and Jane have, we need to convert their measurements into the same unit. Since John has 4 yards of fabric and Jane has 120 inches, we need to convert yards to inches or inches to yards.
To convert yards to inches, we know that 1 yard is equal to 36 inches. So, multiplying 4 yards by 36 inches per yard, we get 144 inches of fabric for John.
Comparing the two measurements, we can see that Jane has more fabric with 120 inches compared to John's 144 inches. The difference is 144 inches - 120 inches = 24 inches. Therefore, Jane has 24 inches more fabric than John.