For a normal distribution, the likelihood (expressed as a percentage) that a random variable is within plus and minus two standard deviations of the mean is 95.44%. The correct answer is option d.
This is also known as the "68-95-99.7 rule" or the "empirical rule." Specifically, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
Therefore, in a normal distribution with a known mean and standard deviation, we can use this rule to estimate the percentage of data that falls within a certain range of values around the mean.
The correct answer is option d.
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Complete Question
For a normal distribution, whet is the likelihood (expressed as a percentage) that a random variable is within plus and minus two standard deviations of the mean?
a. 68.26%
b. 99.74%
c. 34.13%
d. 95.44%
A ball is thrown into the air from the ground. The ball’s height over time can be modeled with a quadratic function. The table shows the time, t, in seconds, and the height of the ball, h, in feet. Using the intercepts from the table, the factored form of the quadratic function can be written as f(t) = at(t – 4). The quadratic function that models the scenario is f(t) = t2 t. After seconds, the ball attains its maximum height of feet.
After 2 seconds, the ball attains its maximum height of 8 feet.
We know that the ball's height can be modeled by a quadratic function, and that the function can be factored into the form f(t) = at(t - 4), where a is a constant.
Using the factored form of the quadratic function, we can see that the function has intercepts at t = 0 and t = 4.
At t = 0, the height of the ball is 0, since it starts at ground level.
At t = 4, the height of the ball is 0, since it reaches its maximum height and then falls back to the ground.
The factored form of the function tells us that the graph of the function is a parabola that opens upward, since the coefficient of the t² term is positive.
The maximum height of the ball occurs at the vertex of the parabola, which is located at the midpoint of the x-intercepts.
Therefore, the maximum height of the ball occurs when t = 2 seconds.
To find the maximum height, we can plug t = 2 into the quadratic function and evaluate:
f(2) = 2² + 2(2) = 8
Therefore, after 2 seconds, the ball attains its maximum height of 8 feet.
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Answer:since the guy above me answered horribly
Step-by-step explanation:
its -4 then 16 2 seconds 16 feetA science teacher fills a spherical bubble with hydrogen gas. The bubble has a diameter of 8 centimeters. Find the volume of hydrogen gas. Round your answer to the nearest tenth, if necessary
Rounding to the nearest tenth, the volume of the hydrogen gas in the bubble is approximately 268.1 cubic centimeters.
The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3,
where V is the volume and r is the radius of the sphere.
In this case, the diameter of the bubble is given as 8 centimeters, which means the radius (r) is half of the diameter, so r = 8/2 = 4 centimeters.
Plugging the value of the radius into the volume formula:
V = (4/3) * π * (4^3)
= (4/3) * 3.14159 * (64)
≈ 268.08256 cubic centimeters.
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What is the radius of a hemisphere with a volume of 66 cm³, to the nearest tenth of
a centimeter?
The radius of the hemisphere is 3.15 cm.
Given that we need to find the radius of a hemisphere with a volume of 66 cm³.
So, the volume of a hemisphere = 2/3 π × radius³
So,
66 = 2/3 π × radius³
99 / 3.14 = radius³
radius³ = 31.52
radius = 3.15
Hence the radius of the hemisphere is 3.15 cm.
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Help due Today I need the answer ASAP
I will mark you brainliest when I get the chance I promise.
Answer: 187.5 yards2
Step-by-step explanation:
how many square yards of rubber will be needed for this park? that means we have to find out the total area of this trapezoid.
Area of a Trapezoid (A) = (a +b)/2*h
Where: a = length of base 1 (20 yards)
b = length of base 2 ( 10 yards)
h = height of the trapezoid ( 12.5 yards)
* = times
/ = divided by
now plug in all the values in this formula to get the answer.
A = (20 yards + 10 yards)/2* 12.5 yards
= 30 yards/2 * 12.5 yards
= 15 yards * 12.5 yards
= 187.5 yards 2
A sprinkler rotates back and forth through an angle 8 as shown in the figure. At a distance of 3 feet
from the sprinkler, the rays that form the sides of angle 8 are 4 feet apart. Find 0, to the nearest
degree.
The angle formed by the triangle is
67.38 degrees
How to determine the angleThe angle is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The direction of movements describes a triangle which is bisected to form a right triangle of
opposite = 3 feet
adjacent = 2 feet
Half of the angle is calculated using tan, TOA
tan (1/2 given angle) = Opposite / Adjacent
tan (1/2 given angle) = 2 / 3
1/2 given angle = arc tan 2/3
1/2 given angle = 33.69
given angle = 67.38 degrees
where given angle is the angle formed by the triangle
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Ronnie is building a triangular wall with bricks. The top row has one brick, the second row has three bricks, the third row has five, and so on. How many bricks will it take to build 10 rows
Answer:
100
Step-by-step explanation:
1+3+5+7+9+11+13+15+17+19
=1+19 +3+17 ... + 9+11
= 20+20+...20
=5*20 =100
Complete the square
x^2 - 2x - 14 = 0
How does using a smaller unit help find a measurement that is closer to the actual length of an object?
The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.
Using a smaller unit of measurement helps find a more accurate measurement of an object’s length because it provides more precise details. For example, if you measure an object that is 10 inches long, using a ruler that measures in 1/4 inch increments would give you a more accurate measurement than a ruler that measures in 1 inch increments. The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.
Therefore, the smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.
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3. Consider a polar curve r =-2 sin θ (a) Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. (b) Sketch the graph of the same polar curve but by converting it in to the Carte- sian form. (c) Are the graphs from Part(a) and Part(b) are same or different? Why?
The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.
This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.
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A red block and a blue block are on a scale. The red block weights 9 ounces. The total weight of both blocks is at most 16 ounces. Which inequality best repesents b the possible weight of the blue block in one ounces?
Answer:
The best inequality that represents the possible weight of the blue block is "0 ≤ b ≤ 7".
Step-by-step explanation:
Let's call the weight of the blue block "b" in ounces. The total weight of both blocks is at most 16 ounces, so we can write the inequality:
9 + b ≤ 16
To solve for b, we can subtract 9 from both sides:
b ≤ 7
So the possible weight of the blue block is at most 7 ounces. We can write this as the inequality:
0 ≤ b ≤ 7
Therefore, the best inequality that represents the possible weight of the blue block is "0 ≤ b ≤ 7".
What is (10x^2 + 17x + 3) divided by (5x + 1)?
The quadratic expression 10x² + 17x + 3 when divided by (5x + 1) gives 2x + 3.
Given quadratic expression is,
10x² + 17x + 3
We have to divide the polynomial with 5x + 1.
First let us factorize the given quadratic expression.
10x² + 17x + 3
Discriminant = 17² - (4 × 10 × 3) = 169
x = (-17 ± √169) / 20
x = (-17 ± 13) / 20
x = -4/20 and x = -30/20
x = -1/5 and x = -3/2
This can be factored as,
(x + 1/5) (x + 3/2)
(5x + 1) (2x + 3)
Hence the quotient is 2x + 3.
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Unfortunately you injected lidocaine intra-arterially. The first sign of lidocaine toxicity would be, except....
a. circumoral numbness
b. tongue paresthesia
c. dizziness
d. cold
If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.
The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.
Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.
If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.
In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.
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Let A= {d, o, g}, B= {f, o, x}
Find A x B and B x A.
The Cartesian product of A x B is {(d,f), (d,o), (d,x), (o,f), (o,o), (o,x), (g,f), (g,o), (g,x)}
What are the possible combinations of elements that can be created from the sets A and B?The Cartesian product of two sets A and B is a set of all possible ordered pairs where the first element belongs to set A and the second element belongs to set B.
In this case, A = {d, o, g} and B = {f, o, x}. Therefore, the Cartesian product of A x B is {(d,f), (d,o), (d,x), (o,f), (o,o), (o,x), (g,f), (g,o), (g,x)}.
Similarly, the Cartesian product of B x A is {(f,d), (f,o), (f,g), (o,d), (o,o), (o,g), (x,d), (x,o), (x,g)}.
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How many independent variables are tested in a dependent or independent t-test?
a. 1
b. 2
c. 3 or more
d. as many as you like
In a dependent or independent t-test, there is only one independent variable being tested. So, the correct answer is a. 1.
What's T-testT-tests are a type of statistical analysis used to compare the means of two groups and determine if there is a significant difference between them.
Dependent t-tests are used when the groups consist of paired or related samples, while independent t-tests are used when the groups consist of unrelated or independent samples.
In both cases, the analysis focuses on the relationship between the independent variable (e.g., a treatment or intervention) and the dependent variable (e.g., a measured outcome) for each group, but only one independent variable is tested at a time.
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Craig is a member of the school's track team. At the last team practice, each runner ran 3 races and recorded their times. Which measure should he use if he wants to identify the spread of the data mean
If Craig wants to identify the spread of the data mean, he should use the standard deviation. The standard deviation measures the dispersion or spread of a set of data points around the mean. It quantifies how much the individual data points deviate from the average.
By calculating the standard deviation of the race times recorded by each runner, Craig can determine how much the race times vary from the mean race time. A larger standard deviation indicates a greater spread of data points, indicating that the race times are more dispersed around the mean. Conversely, a smaller standard deviation indicates a smaller spread of data points, indicating that the race times are more closely clustered around the mean.
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Shari went to a level field to fly a kite. She let out all 85 feet of the string and tied it to a stake. Then, she walked out on the field until she was directly under the kite, which was 40 feet from the stake. How high was the kite from the ground?
Using the Pythagorean theorem,
The height of the kite from the ground is 65 feet.
We have,
We can use the Pythagorean theorem to solve for the height of the kite.
Let h be the height of the kite from the ground.
Then we have a right triangle with legs 40 ft and h ft, and hypotenuse 85 ft (the length of the string).
Applying the Pythagorean theorem, we have:
h² + 40² = 85²
Simplifying and solving for h, we get:
h² = 85² - 40²
h² = 4225
h = 65
Therefore,
The height of the kite from the ground is 65 feet.
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Test Yourself
Zero is a rational number because __________.
Answer: It can be written as a/b
Step-by-step explanation:
A rational number must be able to written as a/b.
Zero is a rational number because zero written in a/b form is 0/1
Probability that the number of job applicants late for interviews is between 5 and 9 inclusive
The probability that the number of job applicants late for interviews is between 5 and 9 (inclusive) needs further information to be determined accurately.
How can we calculate the probability of a specific range of late applicants for interviews without additional information?To calculate the probability, we need to know the total number of job applicants and the distribution of lateness among them. Without this data, it is not possible to determine the exact probability of having a specific range of late applicants between 5 and 9, inclusive.
To accurately assess the probability, we would need information on the total number of applicants, the historical frequency of lateness, or the specific distribution of lateness across the range of interest. With this data, statistical methods such as probability distributions or empirical data analysis could be utilized to calculate the desired probability.
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A traffic study was conducted on a busy street. In 15-minute intervals from 6:30 a.m. to 8:00 a.m., the number of vehicles that passed a certain point in one minute was recorded in the table below. Write an equation for the curve of best fit, then approximate the number of cars that passed the point at 9:15 a.m.
According to the information, we can infer that around 94 cars passed the point at 9:15 a.m.
How to calculate the number of cars at 9:15 a.m.?We can use linear regression to find the equation of the line of best fit for this data. The equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.
Using the formula for linear regression, we get:
[tex]m = ((n * σxy) - (σx * σy)) / ((n * σx^2) - (σx)^2)[/tex][tex]b = (Σy - m * Σx) / n[/tex]where,
n = number of data points[tex]Σxy[/tex] = sum of the product of x and y[tex]Σx[/tex] = sum of x values[tex]Σy[/tex] = the sum of y values[tex]Σx^{2}[/tex] = sum of x squaredPlugging in the values from the table, we get:
n = 7Σxy = 16033Σx = 315Σy = 496Σx^2 = 15750[tex]m = ((7 * 16033) - (315 * 496)) / ((7 * 15750) - (315)^2) = 0.819[/tex][tex]b = (496 - 0.819 * 315) / 7 = 24.91[/tex]So the equation of the line of best fit is:
[tex]y = 0.819x + 24.91[/tex]To approximate the number of cars that passed the point at 9:15 a.m. (which is 105 minutes past 6:30 a.m.), we can plug in x = 105 into the equation and solve for y:
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Question: 720g for 8 weighs
PLEASE I NEED AN ANSWER QUICKKK
Answer:
I'm sorry, the question is not clear. Can you please provide more context or rephrase the question?
Step-by-step explanation:
Explain the history of Trust & Safety (T&S) and how T&S keeps users safe
Answer:
Trust & Safety (T&S) became a vital component of technology companies as online platforms became more popular in the 21st century. Initially, T&S was concerned with advertising, fraud, and account verification. However, as platforms expanded, T&S also grew. As a result, T&S departments now concentrate on user safety and content moderation. These workers monitor activities, scanning for inappropriate behavior, harassment, scams, and security concerns in real-time. Trust & Safety personnel act as intermediaries between users, developers, and public policymakers, ensuring that solutions safeguard users while keeping functionality at the platform's core.
Build the smallest and greatest 5 digit number : 8 -0-9-4 and use it once
The smallest 5 digit number is 30489 and the greatest 5 digit number is 98430.
The given digits are 8, 0, 9, 4 and 3.
Here, smallest 5-digit number is
30489
The greatest number is
98430
Therefore, the smallest 5 digit number is 30489 and the greatest 5 digit number is 98430.
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"Your question is incomplete, probably the complete question/missing part is:"
Build the smallest and the greatest numbers using the given digits only once.
5-digit number using 8, 0, 9, 4 and 3
A circular pizza that is 11 inches in diameter is cut into 4 equal slices. What is the area of one of the slices?
Answer:
23.8
Step-by-step explanation:
The velocity of a particle moving along the x axis varies in time according to the expression vx = (40 - 5t2) m/s, where t is in seconds.
a. Find the average acceleration in the time interval t = 0 to t = 2.0 s
b. Determine the acceleration at t = 2.0 s.
Example:
The velocity of a particle moving along the x axis varies in time according to the expression vx = (40 - 5t2) m / s, where t is in seconds.
a. Find the average acceleration in the time interval t = 0 to t = 2.0 s
b. Determine the acceleration at t = 2.0 s.
a. The average acceleration in the time interval t = 0 to t = 2.0 s is -10 m/s². b. The acceleration at t = 2.0 s is -20 m/s².
a. To find the average acceleration in the time interval t = 0 to t = 2.0 seconds, we need to first find the initial and final velocities:
Initial velocity (t = 0 s):
v0x = (40 - 5(0)²) m/s = 40 m/s
Final velocity (t = 2.0 s):
v2x = (40 - 5(2)²) m/s = (40 - 5(4)) m/s = 20 m/s
Average acceleration is defined as the change in velocity divided by the change in time:
a_avg = (v2x - v0x) / (t2 - t0) = (20 m/s - 40 m/s) / (2.0 s - 0 s) = -20 m/s² / 2.0 s = -10 m/s²
b. To determine the acceleration at t = 2.0 s, we need to find the derivative of the velocity expression with respect to time (t):
v_x(t) = 40 - 5t²
Taking the derivative with respect to time:
a_x(t) = dv_x(t)/dt = -10t
Now, we can find the acceleration at t = 2.0 s:
a_x(2.0) = -10(2.0) = -20 m/s²
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Can someone help please
Answer:
Rhombuses have 4 congruent sides like Squares
So divide the 72 inches by the number of sides
72/4
= 18
So each side should equal 18
9x = 18
x = 2
6y = 18
y = 3
3c = 18
c = 6
2 + 3 + 6
The value of x + y + c is 11
Step-by-step explanation:
A is 5x7 and x →Ax is onto. How many free variables does the system Ax=b have?
The system Ax = b has 2 free variables.
Given that A is a 5x7 matrix, and the transformation x → Ax is onto, we can determine the number of free variables in the system Ax = b.
Identify the dimensions of the matrix A:
A is a 5x7 matrix, which means it has 5 rows and 7 columns.
Determine the transformation type:
Since the transformation x → Ax is onto, it implies that every element in the codomain [tex](R^5)[/tex] has a corresponding element in the domain[tex](R^7)[/tex].
In other words, the system Ax = b has a solution for every b in [tex]R^5.[/tex]
Determine the rank of matrix A:
Since the transformation is onto, the rank of A must be equal to the number of rows in the codomain, which is 5.
Calculate the number of free variables:
The number of free variables is the difference between the total number of columns in A and the rank of A.
In this case, it's 7 columns minus 5 (the rank of A).
Number of free variables = 7 - 5 = 2.
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The reduced gradient is analogous to the ___________ for linear models.
The reduced gradient is analogous to the residual for linear models.
In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.
The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.
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0 friends + brainly =
You can multiply both quantities in the ratio 2 to 10 by _ to get the ratio 4 to 20
Answer:
you multiply both quantities by 2 to get the final ratio i.e you multiply 2 by 2 to get 4 and 10 by 2 to get 20
Can someone help me with this problem
Thank you
Answer:
[tex]-2x^2-7x-15[/tex]
Step-by-step explanation:
To subtract 5x+5 from -2x^2-2x-10, you will need to combine like terms based on their coefficient.
Since you're not going to change the x^2 value, the -2x^2 remains the same.
Subtracting the x^1 values, you get -2x-5x = -7x.
Subtracting the x^0 values, you get -10-5 = -15.
[tex]-2x^2-7x-15[/tex]
