The probability of bike can travel more than 50 miles without refueling is 0.1151, according to the question.
What do you mean by probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
According to data in the given question,
We have the given information:
Mean = 44
deviation = 5
Let X be the random variable that represents the population's average number of motorcycle kilometers; in this instance, we know the distribution for X is provided by:
X ~ N(44.5)
Where μ=44 and σ=5,
We are interested on this probability,
P(X>50)
We can also apply the z score formula from:
z=x-μ/σ
Using this formula, we obtained:
P(X>50) = P(X-μ/σ > 50-μ/σ) = P(Z > 50-44/5) = P(z > 1.2)
Using the normal standard distribution and the complement rule, we can determine this probability, giving us:
P (z > 1.2) = 1 - P(z > 1.2) = 1 - 0.8849 = 0.1151
Therefore, the probability is 0.1151.
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F
D
140°
120°
C
?
B
Thank you
emilio drive 450 miles on 18 gallons of gas. how far can he travel on one gallon
Answer:
25
Step-by-step explanation:
450 divided by 18 is 25
Answer: 25 miles
Step-by-step explanation:
450/18 = 25
25 miles with 1 gallon of gas
a bag contains 2 coins, one fair and the other with 2 heads. you pick 1 coin at random and flip it. what is the probability that you picked the fair coin given that the outcome of the toss was heads?
The probability that you picked the fair coin given that the outcome of the toss was heads is 1/3.
There is a one in two chance of drawing the fair coin. The chances of flipping heads again are 1 in 2. As a result, there is a 1 in 4 chance that the coin will land on heads.
There is a one in two chance of drawing the trick coin. The probability of flipping heads is then 2 to 1. As a result, there is a 2 in 4 chance that the coin will land on heads.
When each is multiplied by four, the resulting integers are
fair: 1 and trick: 2
and overall results: 3. (fair and tails is not counted)
The likelihood of a fair coin is one in three.
The likelihood that the chosen coin will show heads and be the fair coin is 33.333%.
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what is a good rule of thumb for sizing a struct in c/c assuming that the struct is optimally set up?
A good rule of thumb for sizing a struct in c/c assuming that the struct is optimally set up is count all the bytes of the data in the struct.
Rule:
In math rule refers a numerical pattern is a sequence of numbers that has been created based on a formula or rule called a pattern rule
Given,
Here we need to find a good rule of thumb for sizing a struct in c/c assuming that the struct is optimally set up.
According to the rule of thumb, the count all the bytes of the data in the struct.
and then we need to find the nearest power of 2, 4 or 8 based on the largest Data Type in your struct.
So, if the total number of bytes is larger than that power, then the struct will be the next power in size.
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the numbers 1447, 1005, and 1231 have something in common: each is a 4-digit number beginning with 1 that has exactly two identical digits. how many such numbers are there?
If each is a 4-digit number beginning with 1 that has exactly two identical digits , then there are 432 such numbers .
In the question ,
Suppose that the two identical digits are both 1.
and since the thousands digit must be 1, only one of the other three digits can be 1. This means that the possible forms for the required numbers are
11xy , 1x1y , 1xy1 ,
Because the number must have exactly two identical digits, x ≠ y, x ≠ 1, and y ≠ 1.
Hence, Of this form there are 3 × 9 × 8 = 216 numbers .
Now suppose that two identical digits are not 1 , we will have the following possibilities:
1xxy , 1xyx , 1yxx
Again, x ≠ y , x ≠ 1 , and y ≠ 1 .
Of this form there are 3 × 9 × 8 = 216 numbers .
So , the total numbers are 216 + 216 = 432 .
Therefore , the total numbers are 432 .
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you guess that lebron james would score 35 points during the game. he actually scored 28. find your percent error.
The error Percentage is 20%
What is Percentage?
A percentage is a component of a whole stated as a number between 0 and 100 rather than as a fraction. All of anything is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the fraction of the entire by the whole itself and multiply by 100.
Solution:
We gussed that LeBron James would score 35 points, but he only scored 28 points
So, the difference was of 7 points (35-28)
Error Percentage = 7/35 * 100
Error Percentage = 1/5 *100
Error Percentage = 20%
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Graph the following equations on graphing paper or your calculator to solve the
system of equations.
Which ordered pair is the best estimate for the solution to the system?
A. (-2, 1)
B. (-2.5, 0)
C. (0, 2)
D. (0, 5)
In linear equation, the solution of equations is ( -2 , 1)
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
y = 2x + 5
y = 1/2x + 2
the solution of equations is ( -2 , 1)
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in linear programming, a solution that does not simultaneously satisfy all constraints is called an part 2 a. intermediate solution. b. impossible solution. c. infeasible solution. d. illogical solution.
A solution that does not simultaneously satisfy all constraints is called an infeasible solution.
Option (C) is correct.
What is linear programming?
Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.
In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.
In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.
Minimize z = 200x1 + 300x2
subject to
2x1 + 3x2 ≥ 1200
x1 + x2 ≤ 400
2x1 + 1.5x2 ≥ 900
x1, x2 ≥ 0
The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.
Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.
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If f(x) = -4x+9
Find f(-6)
Answer:
33
Step-by-step explanation:
-4(-6) + 9
24 + 9
33
determine the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41.
The requried area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.
To find the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41, we can use a standard normal table or a statistical calculator.
The area to the right of z = 0.11 can be found by subtracting the cumulative area to the left of z = 0.11 from 1.
The area to the left of z = 0.41 can be directly read from the standard normal table.
Using a standard normal table or a calculator, we find:
The area to the left of z = 0.11 is approximately 0.5438.
The area to the left of z = 0.41 is approximately 0.6591.
Now, let's find the area between these two z-scores:
Area = (Area to the left of z = 0.41) - (Area to the left of z = 0.11)
Area = 0.6591 - 0.5438
Area ≈ 0.1153
So, the area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.
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light shines from the top of a pole 30 ft high. a ball is dropped from the same height from a point 20 ft away from the light. how fast is the shadow of the ball moving along the ground 1 sec later? (assume the ball falls a distance s
The shadow of the ball moving over the ground at 150 feet per second after 1 second.
How can I determine the shadow of the ball's speed?
Assuming the ball drops the distance indicated by this sentence:
S = 16t²
Additionally, the height (h) of the ball's shadow one second later is provided by
h = 30 - S
The term for the shadow of the ball would then be as follows:
OX/30 = (20 + XQ)/30 = XQ/h
30XQ = 20h + hXQ
20h = 30XQ - hXQ
20h = (30 - h)XQ
XQ = 20h/(30 - h)
Substituting the value of h, we have:
XQ = 20(30 - S)/(30 - 30 - S)
Substituting the value of S, we have:
XQ = 20(30 - 16t²)/(30 - 30 - 16t²)
XQ = 20(30 - 16t²)/16t²
XQ = (600 - 320t²)/16t²
XQ = 600/16t² - 320t²/16t²
XQ = 600/16t² - 20
Differentiating with respect to t, we have:
d(XQ)/dt = 600/16t² - 20
d(XQ)/dt = 600 (-64t/(16t²)²)
d(XQ)/dt = 600 (-64t/256t⁴)
d(XQ)/dt = 600 (-0.5/2t³)
d(XQ)/dt = -300/2t³
Then,
At t = 1, we have:
Speed = 300/2(1)
Speed = 150 ft/s.
That is,
After one second the ball's shadow was travelling over the ground at a speed of 150 feet per second.
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Determine the equation of the circle with center (-1,-2)(−1,−2) containing the point (0,6)
The equation of the circle with center (−1,−2) containing the point (0,6).
(x + 1)^2 + (y + 2)^2 = 65
How to determine the equation of the circle?
Remember that the equation of a circle with radius R and center (a, b) is written as:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is (-1, -2), then our equation is something like:
(x + 1)^2 + (y + 2)^2 = R^2
We know that our circle contains the point (0, 6), replacing these values in the equation above we get:
(0 + 1)^2 + (6 + 2)^2 = R^2
1 + 8^2 = R^2
65 = R^2
Then the circle equation is:
(x + 1)^2 + (y + 2)^2 = 65
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a quadratic function can be used to model the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. according to the model, an object was launched into the air from a height of o feet and reached its maximum height of 25 feet 1.25 seconds after it was launched. based on the model, what was the height, in feet. of the object 1.00 seconds after it was launched?
The height of the object after 1.00 seconds launched is 24 feet.
Quadratic FunctionQuadratic function is a function where the maximum power of x variable is 2. Simply you can write quadratic function as:
y = ax^2 + bx + c
y is height in feet and x is time in second.
Known 2 conditions from the question:
The object will reach maximum height of 25 feet after 1.25 second launched from ground.And also, just logic that if the object is launch in 0 second will reach 0 feet.From second condition (0 feet in 0 second), we can substitute 0 both in y and y:
y = ax^2 + bx + c
0 = a(0)^2 + b(0) + c
0 = 0 + 0 + c
0 = c
And this, we know that the constant (c) of the function is 0.
Just substitute c with 0 in previous function.
y = ax^2 + bx + c
y = ax^2 + bx + 0
y = ax^2 + bx
From first condition (25 feet in 1.25 seconds), we can substitute x with 1.25 and y with 25:
y = ax^2 + bx
25 = a(1.25)^2 + b(1.25)
25 = 1.56625a + 1.25b
Maximum/minimum point of quadratic function can be found with dy/dx = 0, dy/dx is differential:
y = ax^2 + bx
dy/dx = 2ax + b
0 = 2ax + b
0 = 2a(1.25) + b
0 = 2.5a + b
-2.5a = b
After we know the ratio a and b, we can substitute b with -2.5a in previous equation:
25 = 1.5625a + 1.25b
25 = 1.5625a + 1.25(-2.5a)
25 = 1.5625a - 3.125a
25 = -1.5625a
15/-1.5635 = a
a = 15/-1.5625
a = 16
We got a = 16. Then we just substitute it in a b ratio equation:
b = -2.5a
b = -2.5(-16)
b = 40
After we know a, b, c, just substitute that three numbers in the function:
y = ax^2 + bx + c
y = -16x^2 + 40x
So, the function can be used in launching of the object is y = -16x^2 + 40x.
Where is the object in 1.00 seconds after launched? Just substitute x with 1.
y = -16x^2 + 40x
y = -16(1)^2 + 40(1)
y = -16 + 40
y = 24 feet
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This is an arithmetic sequence.
8, 7.4, 6.8, 6.2, 5.6, …
Which function describes the sequence?
A. f(x) = 0.6x + 8
B. f(x) = 0.6x + 8.6
C. f(x) = −0.6x + 8
D. f(x) = −0.6x + 8.6
The function which describes the arithmetic sequence is f(x) = −0.6x + 8.6.
The correct answer option is option D
Which function describes the sequence?
Given the sequence:
8, 7.4, 6.8, 6.2, 5.6, …
Check all the options
Where,
x = number of term
A. f(x) = 0.6x + 8
When x = 1
f(x) = 0.6x + 8
= 0.6(1) + 8
= 0.6 + 8
= 8.6
B. f(x) = 0.6x + 8.6
When x = 1
= 0.6(1) + 8.6
= 0.6 + 8.6
= 9.2
C. f(x) = −0.6x + 8
When x = 1
= -0.6(1) + 8
= 0.6 + 8
= 8.6
D. f(x) = −0.6x + 8.6
When x = 1
= -0.6(1) + 8.6
= -0.6 + 8.6
= 8
Hence, f(x) = −0.6x + 8.6 is the function which describes the sequence.
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A line passes through the origin and (5, 3). Identify two additional points on this line.
Answer:
(10,6) and (-5, -3)
Step-by-step explanation:
The slope of the line is given by rise/run between (0,0) and (5,3)
Rise = y2 - y1 = 3 - 0 = 3
Run = x2 - x1 = 5 - 0 = 5
Slope m 3/5
Slope intercept form of a line is
y = mx + b
where m is the slope and b is the y-intercept
Since the line passes through (0,0) the y-intercept is 0
So we get
[tex]y = \dfrac{3}{5}x + 0 \\\\or\\\\y = \dfrac{3}{5}x[/tex]
This means for any x value, the corresponding y value should be 3/5th of that x value
Only the first and third choices have this requirement fulfilled
Morgan has 98 baseball cards in his collection, which is twelve less than the product of 5 and the number of cards Tyler has.
Answer: Tyler has 22 cards
Step-by-step explanation:
To begin, we know that Morgan has 12 less than 5x Tyler's cards, so...
12+98=110
Now that we had 110, we then read that it is the PRODUCT of 5 and the number that Tyler has, so we will show that algebraically.
110=5x
Now, divide 110 by 5 to find X.
110/5=22
Tyler has 22 cards.
Help me please!! i’ll give points and brainliest if you give a simple explanation and answer!
Step-by-step explanation:
1[tex] {10}^{ - 8} = \frac{1}{10^{8} } [/tex]
[tex]7 \times \frac{1}{ {10}^{8} } = \frac{7}{ {10}^{8} } [/tex]
2)
[tex]6 \times {10}^{ - 8} = 6 \times \frac{1}{ {10}^{8} } = \frac{6}{ {10}^{8} } [/tex]
Select a function f whose zeroes are 0,-3,2 and -4
The family of all least polynomials with roots at - 4, - 3, 0, 2 is represented by the polynomial y = a · (x + 4) · (x + 3) · x · (x - 2), where a is the lead coefficient.
What is the function that contains a given set of zeros?
Herein we must determine the family of all least polynomials whose roots must be the real numbers - 4, -3, 0, 2. Polynomials are algebraic expressions, whose factor form is described below:
y = a · Π (x - rₙ), for n = {1, 2, 3, 4, ..., m - 1, m}
Where:
a - Lead coefficient (a real number).rₙ - n-th root of the polynomial.m - Grade of the polynomial.In accordance with all these assumptions and definition, the function is defined below:
y = a · (x + 4) · (x + 3) · x · (x - 2)
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I have $270 and 10¢ but I need $395 and 44¢, how much more money do I need?
520 cookies if 3/4 were eaten how many are left
Answer: 130 cookies are left
Step-by-step explanation:
3/4 of 520 = 390
520 - 390 = 130
Answer:
130 cookies are left.
Step-by-step explanation:
1. Turn 3/4 into a decimal
3 ÷ 4 = 0.75
2. Multiply
0.75 x 520 = 390
3. Subtract
520 - 390 = 130
Solution:
130 cookies are left.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Ellie runs 2700 meters in 12 minutes. How many meters can Ellie run in one minute?
Answer: 225
Step-by-step explanation:
Aline'sslopeis5,andits
y -intercept
is
3. What
isitsequationin
slope -intercept
form?
The equation of the line in slope-intercept form is: y = 5x + 3.
What is the Equation of a Line in Slope-intercept Form?If the value of the slope of a line, m, is known, and the value of its y-intercept, b, is known, the equation of the line in slope-intercept form would be written as:
y = mx + b.
Given the following:
Slope (m) of the line (m) = 5Y-intercept of the line (b) = 3To write the equation of the line in slope-intercept form, substitute m = 5 and b = 3:
y = 5x + 3
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Question:
A line's slope is 5, and its y -intercept is 3. What is its equation in slope-intercept form?
x=3yz/4 solve for z.
Answer:
[tex]z = \frac{4x}{3y}[/tex]
Step-by-step explanation:
[tex]x = \frac{3yz}{4}[/tex]
[tex]3zy = 4x[/tex]
[tex]z = \frac{4x}{3y}[/tex]
Answer:
z = (4x)/(3y)
Step-by-step explanation:
Given equation,
→ x = (3yz)/4
Now the value of z will be,
→ x = (3yz)/4
→ (3yz)/4 = x
→ 3yz = x × 4
→ z × 3y = 4x
→ [ z = 4x/3y ]
Hence, value of z is 4x/3y.
Find the complex roots of the graph to the right.
x = 1+i or x = 1-i are the complex roots of the graph
How to find the complex roots of a graph?
Below are the steps for determining the complex roots of a graph or curve:
1. Draw a vertical line passing through the vertex of the parabola or curve
2. The value of x where the line intersects the x-axis gives the real part of the root
3. Draw a horizontal line of height twice the height of the vertex from the x-axis
4. Draw a vertical line from this point of intersection to intersect the x-axis
5. The distance of this point from the real part of the root gives you the imaginary part of the root
(Check the attached image for the labeling)
From the image attached:
Real part of the root: a = 1
Imaginary part of the root: b = 1
Remember: complex root is of the form x = a±bi
Therefore, the complex roots of the graph are x = 1+i or x = 1-i
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Write an equation of the line containing the point (2,5) and perpendicular to the line 3x - 2y = 5.
Answer:
y = (-2/3)x + (19/3)
Step-by-step explanation:
3x - 2y = 5
-2y + 3x = 5
-3x -3x
-------------------------
-2y = -3x + 5
-2 -2 -2
---------------------
3 5
y = -------x - -------
2 2
-2
Perpendicular: -------- x
3
-2
(2, 5); m = --------
x₁ y₁ 3
y - y₁ = m(x - x₁)
y - 5 = (-2/3)(x - 2)
y - 5 = (-2/3)x + (4/3)
+5 +5
--------------------------------
y = (-2/3)x + (19/3)
I hope this helps!
Cameron runs 2000 meters in 8 minutes. How many meters can Cameron run in one minute?
Answer: 250 meters
Step-by-step explanation: Find the unit rate. 2000 divided by 8 will get you a unit rate of 250 meters per minute.
A researcher develops a regression equation to predict first-year college grades (Y) from high school GPA (X): Y = 1.48 + .53X + e. What is the predicted first-year college GPA for someone with a high school GPA of 3.1?
3.6
1.6
3.1
4.1
The resulting regression was predicted GPA is 3.1 Predict the outcome of one variable from the outcome of a second variable.
The variable we are predicting is called the reference variable and is denoted as Y. The variable on which the prediction is based is called the predictor and is denoted as X. The magnitude of the correlation coefficient indicates the strength of the association. A prediction is a statement intended to tell you something about the future.
Predicted grades are qualifying grades that an applicant's school or college is expected to achieve under favorable circumstances. These predicted grades are used by colleges as part of the admissions process to help understand an applicant's potential. The expected result of an experiment is derived from a hypothesis or theory. This is a guess at the possible outcome of the scenario.
GPA= 3.1+3.6+1.6+3.1+4.1/ 5= 15.5/5 = 3.1
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A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 5 of the questions, can narrow the choices to 2 in 3 cases, and does not know anything about 2 of the questions. What is the probability that she will correctly answer A) 10, b) 9, c) 8 d) 7, e) 6, and f) 5 questions?
Do not need to answer every part if they are worked the EXACT same way.
Multiply the following polynomials. Write the simplified answer in descending order. Use the ^ (shift + 6) to indicate exponents. DO NOT add spaces between any numbers or characters. For example: (x+2)(x+3) = x^2+5x+6.
(m 3n + 8)(m 3n - 5)
The simplified form of (m + 3n + 8)(m + 3n - 8) is m^2 + 3n^2 + 6mn - 64.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, (x+2)(x+3) = x^2+5x+6.
∴ (m + 3n + 8)(m + 3n - 8).
= m^2 + 3mn - 8m + 3mn + 3n^2 - 24n + 8m + 24n - 64.
= m^2 + 3n^2 + 6mn - 64.
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Ashley, sending to her directly with the number of hours she worked. Suppose that she works seven hours yesterday and earned $84 if she earned 60 today how many hours is she work today?
Answer:
5 hours
Step-by-step explanation:
To figure this out we will do the total she earned yesterday divided by the hours she worked. So, 84/7=12. So know we know how much she earns in an hour, $12. So if she is earn $60 today then we should do 60/12 to figure out how many hours she worked. 60/12=5. So she worked 5 hours.
I hope this helps!!!
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