Answer:
A
Step-by-step explanation:
because If it has a line under a nd it goes greater than its a solid line amd u shade above
6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4
Answer:
Step-by-step explanation:
hello :
Can someone please explain how to find the coordinates? I’m really confused. Thanks! :)
The locations of the points in rectangular form are, respectively:
A(x, y, z) = (0, 0, 0) B(x, y, z) = (0, 0, 50) C(x, y, z) = (0, 60, 0) D(x, y, z) = (60, 0, 60) E(x, y, z) = (0, 80, 80) F(x, y, z) = (60, 40, 80)How to represent location of points according to rectangular system of coordinates
In this problem we must describe the locations of six points in a rectangular system of coordinates. Herein we define rectangular points as points with 3 coordinates related to each orthogonal axis. This kind of points are defined below:
(x, y, z)
Where:
x - Distance from the origin along the x-axis.y - Distance from the origin along the y-axis.z - Distance from the origin along the z-axis.Now we proceed to describe the location of each point:
A(x, y, z) = (0, 0, 0)
B(x, y, z) = (0, 0, 50)
C(x, y, z) = (0, 60, 0)
D(x, y, z) = (60, 0, 60)
E(x, y, z) = (0, 80, 80)
F(x, y, z) = (60, 40, 80)
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The key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution:
A) the random variable is continuous.
B)the trials are independent of each other.
C)the probability of success must be less than 0.5.
D)the probability of success changes from trial to trial.
The key difference between hypergeometric distribution and the binomial is which with the hypergeometric distribution,the probability of success changes from trial to trial.
The hypergeometric distribution is used when sampling without replacement whereas the binomial distribution is used when sampling with replacement.
We know in the hypergeometric distribution,
Each trial affects the probability of success for the remaining trials which is not the case in the binomial distribution where the trials are independent of each other.
The random variable in both distributions is discrete, not continuous.
There is no need for the probability of success to be less than 0.5 in either distribution.
Hence,
The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution, the probability of success changes from trial to trial.
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The density of copper is 9.86 g/cm³.
Work out the mass of the solid copper cuboid in kg.
10 cm
3 cm
5 cm
Answer:
1479 gm
Step-by-step explanation:
V = 10 * 3 * 5 = 150 cm^3
150 cm^3 * 9.86 g / cm^3 = 1479 gm
Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1
Answer:
Any number powered to zero, the answer to the equation will be 1
find the distance between -2-3i and 3+9i?
HELP ME PLEASE THANK YOU !!!!!!!!!!!!
9514 1404 393
Answer:
13
Step-by-step explanation:
The distance between the points is the magnitude of their difference.
|(-2-3i) -(3+9i)| = |-5 -12i| = √(5² +12²) = 13
The distance between the point is 13 units.
suppose a random sample of size 5 from a uniform(0, theta) distribution yielded the measurements 1.52, 7.81, 1.28, 6.90, 1.17. what is the method of moments estimate of theta?
The exact values of trigonometric functions cosine and tangent are 4 / 5 and 3 / 4, respectively.
How to determine the exact value of a trigonometric function
In this question we must determine the exact value of two trigonometric functions on the basis a given value of another trigonometric function, whose quadrant is also known. According to the statement, sine is in the first quadrant, then both cosine and tangent are also positive. The value of cosine can be found by means of following trigonometric formula:
cos θ = √(1 - sin² θ)
cos θ = √[1 - (3 / 5)²]
cos θ = 4 / 5
And the exact value of tangent can be found by this formula:
tan θ = sin θ / cos θ
tan θ = (3 / 5) / (4 / 5)
tan θ = 3 / 4
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Determine the number of triangles with the given parts, and solve the triangle. β=38.1∘ ,a=39.7,b=31.7
By applying the Law of Sines and the Law of Cosines, we can determine the number of triangles that can be formed with the given parts and solve the triangle.
To determine the number of triangles, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, we have β as an angle, so we can use the Law of Sines to find the remaining angles and the Law of Cosines to find the remaining side.
First, we can determine the value of α, which is the angle opposite side a. Using the Law of Sines, we have sin(α) / a = sin(β) / b. Plugging in the given values, we can solve for α.
Next, we can find the remaining angle γ by subtracting α and β from 180°.
After finding the angles α and γ, we can use the Law of Sines to find the remaining side c. We have sin(α) / a = sin(γ) / c. Plugging in the values, we can solve for c.
Once we have all the angles and sides, we can determine the type of triangle (e.g., acute, obtuse, right) and solve the triangle completely.
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Kilometers Walked for Charity
12
3
3
6 7 9 9
13
1
1
4 5
5
14
0
0 2
3
3
3
8 8 9
15
2
2
2 2
2
2
3 5 5 7
16
4
5
5 9
ON
17
3
5
Key: 123 means 12.3
a. Describe how to find the range of the data set.
b. Find the range.
Answer:what’s the lowest value?
what’s the highest value?
there is your range
Step-by-step explanation:
There are 800 students in Aiden's middle school. Aiden wants to know how many families at his school recycle. Which would provide the best sample?
A) Ask 80 students randomly selected from a student list
B) Ask 8 students randomly selected from each grade
C) Ask the students who are members of the environmental club
D) Ask all the students in student government
Also can you please explain why the letter you chose is a good sample?
Plus, if you're answering this question, thank you so very much.
Near the equator, the Earth rotates approximately 3 4 kilometers every 3 2 seconds. What is the speed of Earth's rotation near the equator?
Answer:
Speed = 1.0625 km / sec
Step-by-step explanation:
Distance = 34 kilometers
Time = 32 seconds
Speed = ?
The relationship between these quantities is given as;
Speed = Distance / Time
Inserting the values;
Speed = 34 km / 32 sec
Speed = 1.0625 km / sec
3. The expense and revenue functions yield a profit function, but the equation can represent no
profit made at any price. One of the profit functions in question #2 models such a situation.
a. Determine which profit function models a no profit situation.
b. What does a profit function look like when no profit can be made?
a. In a no profit situation, P(x) = 0, indicating that revenue and expenses are equal.
b. When no profit can be made, the profit function is zero, indicating that revenue equals expenses. This means that income equals expenditure, resulting in no surplus or profit. On a graph, the profit function appears as a horizontal line at zero profit, showing a balance between revenue and expenses. No profit situations can be sustainable for certain organizations with different objectives, such as nonprofits or government agencies.
a. To determine which profit function models a no profit situation, we need to examine the behavior of the profit function at different prices. A no profit situation occurs when the revenue generated is exactly equal to the expenses incurred, resulting in a profit of zero.
Let's consider the profit function in question #2, denoted as P(x), where x represents the price:
P(x) = R(x) - C(x)
Here, R(x) represents the revenue function and C(x) represents the expense function.
b. When no profit can be made, the profit function will be equal to zero at all prices. Mathematically, this means that the revenue function and the expense function are equal:
R(x) - C(x) = 0
In terms of the income and expenditure, this condition implies that the income is equal to the expenditure. Essentially, the company is not generating any surplus or profit beyond covering its costs.
Visually, on a graph, the profit function when no profit can be made will appear as a horizontal line at the zero profit level. It indicates that regardless of the price at which the product or service is sold, the revenue and expenses are balanced, resulting in no profit.
It's important to note that while a no profit situation may not be desirable from a business perspective, it can still be sustainable for certain organizations or in specific scenarios where the primary objective is not profit maximization, such as nonprofit organizations or government agencies focused on public services.
To summarize, when no profit can be made, the profit function will be equal to zero, indicating that the revenue and expenses are balanced, resulting in no surplus or profit.
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help please no one is answering :(
Answer:
59.49
Step-by-step explanation:
total number of students who don like mountain+don like beach =56+38+94=188
total number of students=92+66+158=316
probability percentage =(total no. of favorable events/total number of events) x 100
=188/316 x 100
=59.49 ~ 59.5%
Answer:
B
Step-by-step explanation:
I- are you on a test? If yes then i rlly cant help you.
JK I LIED IGHT SO ITS
Jackie bought 100 stamps. Each stamp cost $0.37. How much did Jackie spend?
Assume that you knew that the value of the coins totaled $62.00. What is one possible combination of pennies
and quarters that sum to $62.00.
Answer:
Step-by-step explanation:Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?
If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.
One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.
what is the length of the curve y=1−cosx from x=0 to x=4π ?
The length of the curve y = 1 - cos(x) from x = 0 to x = 4π is approximately 16.056 units
We have,
To find the length of the curve y = 1 - cos(x) from x = 0 to x = 4π, we can use the arc length formula for a curve defined by a function y = f(x):
L = ∫[a,b] √(1 + (f'(x))²) dx
In this case, the function is y = 1 - cos(x), and we need to find the arc length from x = 0 to x = 4π.
Step 1: Find the derivative of y = 1 - cos(x):
y' = sin(x)
Step 2: Calculate the integrand √(1 + (f'(x))²):
√(1 + sin²(x))
Step 3: Set up the integral:
L = ∫[0,4π] √(1 + sin²(x)) dx
Step 4: Evaluate the integral either manually or using numerical integration methods.
Using numerical integration methods or software, the length of the curve y = 1 - cos(x) from x = 0 to x = 4π is approximately 16.056 units (rounded to three decimal places).
Thus,
The length of the curve y = 1 - cos(x) from x = 0 to x = 4π is approximately 16.056 units
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Please help ASAP!!! Thanks
Answer:B.√13
Step-by-step explanation:
Hope this helps!
a=p2+q2
2=62+42
2≈3.60555
Find the value of n so that the expression is a perfect scuare trinomial. c^(2)-3c+n
The value of n so that the expression c^(2)-3c+n is a perfect square trinomial is 9/4.
A perfect square trinomial is a quadratic expression of the form a² + 2ab + b², which can also be factored as (a + b)². The general formula for perfect square trinomials is (a + b)² = a² + 2ab + b².
When you square a binomial, you get a perfect square trinomial.
Let us apply this concept to find the value of n so that the expression is a perfect square trinomial.
The quadratic expression is c² - 3c + n.
To make it a perfect square trinomial, we have to make the expression of the form (a + b)².
Therefore, we have to figure out the values of a and b.
To do so, we have to take half of the coefficient of the linear term and square it.
In this case, the coefficient of the linear term is -3.
Half of -3 is -3/2. Squaring -3/2, we get 9/4.
The missing term that will make this expression a perfect square trinomial is 9/4.
Adding 9/4 to both sides, we get:
c² - 3c + 9/4 = (c - 3/2)²
Therefore, the value of n is 9/4.
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Why a sample is always smaller than a population?
Answer:
A sample is a subset of the population.
-5x+(- 15 ) = 20
distributive property
Answer:
-5x+(- 15 ) = 20
x=-7
Step by Step
-5x+(-15)= 20 becomes
-5-15=20 add 15 tp (15 and 20)
-5x=35 ( divide by 51
x=-7
Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet.
Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error?
StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction
Abdul’s work is correct.
Abdul should have divided by 5, not 6.
Abdul should have divided by 4, not 6.
This problem has no change in the scale factor.
PLEASE ANSWER ASAP!!!
Answer:
He should have divided by 4, not 6....
Step-by-step explanation:
Just did the lesson
Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
What is Area of Rectangle?The area of Rectangle is length times of width.
According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.
The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.
Therefore, the scale factor for the length is:
24/4 = 6
And the scale factor for the width is:
15 feet / 3.75 feet = 4
Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.
To maintain the same scale, he needs to apply the same scale factor to the new length.
Thus, the new length in the drawing is:
20/6 = 3.33 feet
Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.
Thus, the new width in the drawing is:
18.75/4 = 4.69 feet
Now, let's check Abdul's work:
24/6×6/20=4/3
Left side is not equal to right side.
Abdul should have divided by 5, not 6.
Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
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In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2
Answer:
y = \(\frac{3}{4}\) x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = \(\frac{3}{4}\) and b = - 2 , then
y = \(\frac{3}{4}\) x - 2 ← equation of line
Which type of triangle can be constructed with a 50° angle between two 8-inch sides? A. Equilateral B. Isosceles C. Scalene D. Obtuse.
The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.
This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.
This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.
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find the points on the ellipse 3x^2+2y^2=1 where f(x,y)=xy has its extreme values
the maximum and minimum values of f(x,y) on the ellipse occur at approximately (±0.445, ±0.364) and (±0.364, ±0.445), respectively.
To find the points on the ellipse 3x^2 + 2y^2 = 1 where f(x,y) = xy has its extreme values, we can use the method of Lagrange multipliers.
We want to find the points (x, y) on the ellipse where the gradient of f(x,y) is parallel to the gradient of the constraint function g(x,y) = 3x^2 + 2y^2 - 1. The gradient of f(x,y) is <y, x>, and the gradient of g(x,y) is <6x, 4y>. Thus, we need to solve the system of equations:
y = λ(6x)
x = λ(4y)
3x^2 + 2y^2 = 1
From the second equation, we get λ = x/(4y). Substituting into the first equation, we get y = (3/8)x^2. Substituting into the third equation, we get:
3x^2 + 2[(3/8)x^2]^2 = 1
3x^2 + (27/32)x^4 = 1
Multiplying both sides by 32, we get:
96x^2 + 27x^4 - 32 = 0
This is a quartic equation in x^2, which can be solved using standard methods. We can also note that the function f(x,y) = xy is symmetric with respect to the line y = x, so any extreme values on one side of this line will have a corresponding extreme value on the other side.
Therefore, the maximum and minimum values of f(x,y) on the ellipse occur at approximately (±0.445, ±0.364) and (±0.364, ±0.445), respectively.
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Aisha brings 5 gallons of a sports drink to a game. How many one - liter bottles can she fill? Round your answer to the nearest liter. (1 liter≈ 4.2 cups)
The number of one-liter bottles she can fill from 5 gallons is A = 19
Given data ,
Aisha brings 5 gallons of a sports drink to a game
Now , 1 liter≈ 4.2 cups
And , 1 gallon is approximately equal to 3.78541 liters.
So, 5 gallons is approximately equal to 5 * 3.78541 = 18.92705 liters
On simplifying the equation , we get
Now, we divide the total liters by 1 liter (the capacity of each bottle) to find the number of bottles Aisha can fill:
Number of bottles = 18.92705 liters / 1 liter ≈ 18.93
Hence Aisha can fill approximately 19 one-liter bottles with 5 gallons of sports drink
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do you expect a large or a small t-statistic if the population means are different? explain.
A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.
Why would we expect a large t-statistic if the population means are different?The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.
The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.
In summary, If the population means are different, a large t-statistic would be expected.
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A MARAThon runner runs 1620 yards in 9 minutes, how many seconds will it take him to run 351 ft
Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know
that Kyle is wrong.
I need the answer really quickly!!!
Answer:
Because 97 x 0.3196 cannot be 31.
It will be a number that has a 2 as the last digit.
Step-by-step explanation:
97 x 0.3196 will have an answer with a 2 as the last digit because 7 x 6 = 42 (the last digits in each factor)
The Velocity of an object over 12 seconds is shown on the graph below. using 5 strips of equal width l, estimate the distance the object travelled between 1 and 11 seconds. your answer should be a terminating decimal to 1 dp
What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3? ANSWER NEEDED ASAP!!
Answer: \(y = -\frac{1}{3}x + 5\\\\\)
Work Shown:
\(y - y_1 = m(x - x_1)\\\\y - 3 = -\frac{1}{3}(x - 6)\\\\y - 3 = -\frac{1}{3}x + \frac{1}{3}*6\\\\y - 3 = -\frac{1}{3}x + 2\\\\y = -\frac{1}{3}x + 2+3\\\\y = -\frac{1}{3}x + 5\\\\\)
This line has a y intercept of 5, which means (0,5) is on the graph along with (6,3). The line moves downhill when moving left to right, because the slope is negative.