Answer:
Jake has 9 sheep left
Step-by-step explanation:
As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.
Answer:
3
Step-by-step explanation:
Jake has 12 sheeps but 9 died
Jake loss 9 sheeps
Solution:
12-9
=3
The heights (in inches) of 10 adult males are listed below. Find the sample standard deviation of the data set.
70 72 71 70 69 73 69 68 70 71
The sample standard deviation of the heights (in inches) of 10 adult males is approximately 1.464 inches.
To find the sample standard deviation of the heights of the 10 adult males, follow these steps:
1. Calculate the mean (average) height:
(70+72+71+70+69+73+69+68+70+71) / 10 = 703 / 10 = 70.3 inches.
2. Subtract the mean from each height and square the result:
\([(70-70.3)^2, (72-70.3)^2, ... (71-70.3)^2].\)
3. Calculate the sum of these squared differences:
0.09+2.89+0.49+0.09+1.69+7.29+1.69+5.29+0.09+0.49 = 19.31.
4. Divide the sum by (n-1), where n is the sample size: \(19.31 / (10-1) = 19.31 / 9 = 2.145.\)
5. Take the square root of the result: √2.145 = 1.464 (rounded to 3 decimal places).
The sample standard deviation of the heights of the 10 adult males is approximately 1.464 inches.
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of the following, which are solutions to the differential equation y′′−5y′ 6y=0 ? y=e2t y=3e3t y=3sin(2t)
The solution to the differential equation is given as follows:
y = e^(3t) + e^(2t).
How to solve the differential equation?
The differential equation for this problem is defined as follows:
y'' - 5y' + 6y = 0.
The characteristic equation is given as follows:
r² - 5r + 6 = 0.
Hence the roots of the characteristic equation are given as follows:
(r - 3)(r - 2) = 0.
Hence:
r - 3 = 0 -> r = 3.r - 2 = 0 -> r = 2.These are real roots, hence the format of the solution is given as follows:
y = e^(3t) + e^(2t).
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one degree of latitude is equal to how many minutes
Answer:
60 minutes
Step-by-step explanation:
Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.
One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.
This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.
The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.
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The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.
In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:
For each additional city mpg, the highway value goes up by
0.9478 mpg.
And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
According to the statement
we have given that the relationship between the number of miles per gallon on the highway in the graphical representation and that in the city for some cars.
And we have to give some reasons for the given statements.
So, For this purpose, we know that the
A. In this statement we have to tell that the what is shown in the given relationship in the graph.
So, For each additional city mpg, the highway value goes up by
0.9478 mpg.
And the second statement is
B. I this we have to tell the intercept of the plane in the given Relationship.
So, It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
So, In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:
For each additional city mpg, the highway value goes up by
0.9478 mpg.
And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
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Disclaimer: This question was incomplete. Pleas find the full content below.
Question:
The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.
a. Report the slope and explain what it means.
b. Either interpret the intercept (7.792) or explain why it is not appropriate to interpret the intercept.
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consider the differential equation given by[math equation]the goal of this problem is to solve this differential equation numerically, analytically and compare the solutions. find the exact solution (i.e. the analytical solution) use euler's method to solve the differential equation with a step size h=0,001; (this is the numerical solution)
The number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.
Step-by-step explanation:
The differential equation is missing in your question. However, I will give a general overview of how to solve a differential equation numerically using Euler's method and how to find an analytical solution.
Numerical Solution using Euler's Method:
Suppose we have a first-order differential equation of the form y' = f(x, y), where y' represents the derivative of y with respect to x. To solve this numerically using Euler's method, we need to start with an initial condition y(x0) = y0, and we want to find the value of y at some other point x1 = x0 + h.
The Euler's method involves approximating the derivative y' by the difference quotient (y1 - y0) / h, where y1 is the value of y at x1. Rearranging this equation, we get:
y1 = y0 + h * f(x0, y0)
Using this equation, we can iteratively compute the value of y at different points by using the previous value of y. For example, to find y2, we can use the equation:
y2 = y1 + h * f(x1, y1)
We continue this process until we reach the desired endpoint.
Analytical Solution:
An analytical solution to a differential equation is an explicit expression for y(x) that satisfies the differential equation for all values of x. To find an analytical solution, we may use techniques such as separation of variables, integrating factors, or other methods specific to the type of differential equation.
For example, if we have a differential equation of the form y' = k * y, where k is a constant, we can use separation of variables to obtain:
dy / y = k * dx
Integrating both sides, we get:
ln|y| = k * x + C
where C is an arbitrary constant of integration. Solving for y, we get:
y = Ce^(kx)
where C = ±e^C is a constant determined by the initial condition.
Comparison of Solutions:
Once we have the numerical and analytical solutions, we can compare them by plotting the graphs of y(x) for each method. If the numerical solution was computed with a small enough step size, it should converge to the analytical solution as the number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.
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In your own words explain how to find the volume of a box using the formula Volume = length x width x height
To find the volume of a box using the formula Volume = length x width x height, you need to multiply the three dimensions of the box together. The resulting number will be the amount of space that the box occupies in three-dimensional space.
The volume of a box is a measurement of the amount of space it takes up in three dimensions. To calculate the volume of a box, you need to know its length, width, and height. These dimensions are typically measured in units such as inches, feet, meters, or centimeters. Once you have measured these dimensions, you can use the formula Volume = length x width x height to calculate the box's volume.
To apply the formula, simply multiply the length of the box by its width and then by its height. The resulting number will be the volume of the box, which is typically expressed in cubic units such as cubic inches, cubic feet, or cubic meters. It's important to make sure that you are using the same units of measurement for all three dimensions when calculating the volume of a box. If the dimensions are not in the same units, you will need to convert them before calculating the volume.
In summary, the formula Volume = length x width x height can be used to find the volume of a box. To do this, you need to multiply the length, width, and height of the box together. The resulting number will be the amount of space that the box occupies in three-dimensional space, expressed in cubic units.
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solve for m please will give brainlest
Answer:
55 degrees
Step-by-step explanation:
sum of all angles of a triangle equal 180
to find x we add them all and set them equal to 180
(57+x)+(72+x)+55=180
129+2x+55=180
184+2x=180
-184. -184
2x= -4
/2. /2
x=-2
now to find angle A
57+(-2)
55
hopes this helps
James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?
Answer:
22 bags
Step-by-step explanation:
Multiply 5 1/2 by 4 and you'll get 22
Answer:
22 bags
Step-by-step explanation:
5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4
the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3
Answer:
\(5(x^3)^3-\frac{4x}{3}\)
Step-by-step explanation:
Let the number be x
Condition:
=> \(5(x^3)^3-\frac{4x}{3}\)
Answer:
\(5x^{9} - 4 x/3\)
Step-by-step explanation:
The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 can be written as:
\(5 \times (x^3)^3 - (4 \times x)/3\)
Multiply the terms.
\(5(x^3)^3 - 4x/3\)
Multiply the exponents.
\(5x^{3 \times 3} - 4 x/3\)
\(5x^{9} - 4 x/3\)
Thank you to the person that is helping me. I don’t understand this one at all..
Corbin's car payment is is $289. This is 37$ less than 1/3 of his monthly income. WHAT is Corbin's monthly income
Answer:
978$
pls give brainliest
Step-by-step explanation:
Simplify the expression by combining like terms
36a + 42b - 18a + 6
The simplified expression, 36a + 42b - 18a + 6 by combining the like terms is 18a + 42b + 6
How to simplify expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).
To simplify an expression means to write an equivalent expression which contains no similar terms.
Therefore, let's simplify the expression by combining the like terms.
36a + 42b - 18a + 6
Like terms can be defined as terms that contain the same variables raised to the same power.
36a + 42b - 18a + 6
combining the like terms
36a - 18a + 42b + 6
Therefore, the simplified expression is 18a + 42b + 6
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What is the mean of the normal distribution shown below?
1 2 3 4 5 6 7 8
ОО
O 2
O4
O 5
Answer:5
Step-by-step explanation: the middle is 2 and 3 so since there is 2 numbers add them and you get 5.
The mean of the normal distribution represented by the data is 4.5.
None of the given options is correct.
What is the mean?In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the number of observations).
The mean of the normal distribution represented by the given data can be computed as follows:
Find the sum of the values:
sum = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
Divide the sum by the total number of values to obtain the mean:
mean = sum / n = 36 / 8 = 4.5
Therefore, the mean of the data is 4.5.
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What is the length of C D on a grid, C is (-5, 5) and D is (4, -2), to the nearest tenth? Iready Help ASAP
Answer:
11.4
Step-by-step explanation:
You want the distance between C(-5, 5) and D(4, -2).
DistanceThe distance formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, the distance is computed to be ...
d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130
d ≈ 11.4
The length of CD is about 11.4 units.
__
Additional comment
The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.
What are the two lines of reflections that map captial H onto itself?
Answer:
The H has two lines of reflection - the vertical line through its center and the horizontal line through its center are both lines of reflection, so H has both a horizontal and a vertical line of symmetry.
Step-by-step explanation:
So i have something for ya'll to do here it is: 77.2-43.778 but write it on a piece of loose sleeve and step by step, now: 5.6 divided by 2.072 but on loose sleeve and with a different divided expression and finally: 6.811 x 4.9 and on loose sleeve and send a pic when you are done.
So i have something for ya'll to do here, I apologize for the inconvenience, but as an AI text-based model, I am unable to physically write on a piece of loose sleeve or send pictures.
1. 77.2 - 43.778:
To subtract these two numbers, align the decimal points and subtract the digits in each place value from right to left:
77.2
- 43.778
-------
33.422
2. 5.6 divided by 2.072:
To divide these numbers, you can use long division or express it as a fraction:
5.6 ÷ 2.072 = 5.6/2.072
3. 6.811 x 4.9:
To multiply these numbers, align the decimal points and multiply as usual:
6.811
x 4.9
------
33.3439
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Can somebody help me with this please
Answer:
C
Step-by-step explanation:
parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD
Hopes this helps please mark brainliest
-4n+3>23
A. -5
B. 5
C. -9
D. -20
E. 20
the mean time it takes a certain pain reliever to begin reducing symptoms is 30 minutes with a standard deviation of 8.7 minutes. assuming the variable is normally distributed, find the probability that it will take the medication between 32 and 37 minutes to begin to work.
To answer this question, we need to use the concept of the normal distribution and the given mean and standard deviation. The mean time for the pain reliever to begin reducing symptoms is 30 minutes.
To find the probability that it will take the medication between 32 and 37 minutes to begin to work, we'll use the mean, standard deviation, and the properties of a normal distribution.
Step 1: Calculate the z-scores for 32 and 37 minutes.
The z-score is the number of standard deviations a value is from the mean. The formula for the z-score is:
z = (X - μ) / σ
where X is the value, μ is the mean, and σ is the standard deviation.
For 32 minutes:
z1 = (32 - 30) / 8.7 ≈ 0.23
For 37 minutes:
z2 = (37 - 30) / 8.7 ≈ 0.80
Step 2: Find the probabilities corresponding to the z-scores.
You can use a z-table or an online calculator to find the probabilities for each z-score.
For z1 = 0.23, the probability is ≈ 0.5910
For z2 = 0.80, the probability is ≈ 0.7881
Step 3: Calculate the probability between the two z-scores.
Subtract the probability of z1 from the probability of z2:
P(32 < X < 37) = P(z2) - P(z1) = 0.7881 - 0.5910 ≈ 0.1971
So, the probability that it will take the medication between 32 and 37 minutes to begin reducing symptoms is approximately 19.71%.
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nine times a number q
Answer:9q
Step-by-step explanation:
What is the sign of 37 + (-37)?
Answer:
not positive or negative
Step-by-step explanation:
It is 0 but i would say it is positive nor negative :)
0, It not really postive or negative
37 + -37 = 0 =
Neither negative nor positive
:/
What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4
34756Step-by-step explanation:
Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3
Answer:
Step-by-step explanation:
x³y² = x * x * x * y * y
x²y³ = x * x * y *y * y
GCF = x * x * y * y = x²y²
x³y² - x²y³ = x²y² ( x - y)
Kennedy is solving the equation ?
63 +3 = 0 by completing the square with the steps below.
Step 1: 22
60 = -3
Step 2: 22 - 6x + 36 = -3 + 36
Step 3: (z - 6)2 = 33
Step 4: 3 - 6 = 133
Step 5: 2=6 33
Kennedy finds out that her final answer is incorrect. During which step did Kennedy make her initial error, if using completing the square?
Step 1
Step 2
Step 3
Step 4
Kennedy made her initial error in Step 4 of the completion of the square process. In this step, she incorrectly computed 3 - 6 as 133 instead of the correct value of -3.
Completing the square is a method used to solve quadratic equations by manipulating the equation to form a perfect square trinomial. In Kennedy's case, she was attempting to solve the equation 63 + 3 = 0. However, her error in Step 4 caused the subsequent steps to be based on an incorrect value. As a result, the final answer she obtained was incorrect.
This mistake propagated throughout the subsequent steps, leading to an incorrect final answer. By miscalculating this term, Kennedy introduced an error that affected the outcome of the equation.
It is crucial to be meticulous and accurate when applying mathematical procedures such as completing the square. A small mistake in one step can lead to significant errors down the line. By double-checking calculations and carefully following the steps, Kennedy could identify and rectify her error, ultimately arriving at the correct solution.
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SHOW how you would use the distributive property to solve: 51 x 7
HELP!
Does the data in the table show a proportional relationship?
Answer:
No, is the answer. :)
Step-by-step explanation:
Dan gets 25 miles per gallon in his car. John's miles (x) per gallon (y) can be represented by the equation y=20x. Who makes better gas mileage?
Answer:
Dan has better gas mileage
Step-by-step explanation:
The mileage of Dan is 25 miles per gallon
In case of John, mileage is represents by equation
\(y=20x\)
where y is the gallons and x is miles
Here
\(\frac{x}{y}\) represents miles per gallon
Hence, mileage in case of john i.e miles per gallon
\(\frac{x}{y} = \frac{1}{20}\)
Dan has better gas mileage
ABCΔ is an isosceles triangle in which AB=AC=17m and BC=16m . Find the area
Answer: 136 sq. m.
Step-by-step explanation:
Area = (base x height ) / 2
= (17x16)/2
= 272/2 = 136
help.... please
I will mark as brainliest
Answer:
216 and 64
Step-by-step explanation:
Answer:
1 ) Yes
2) No
perfect cubes are 216 and 64
³√64=4 } not have fraction so it's perfect cubes
³√216=6 } not have fraction so it's perfect cubes
Hope this helps
Help I will AWard Brainlist !!! its Math problem Please Help find the length of b.
thank you means alot.
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
Using Trigonometric ratios :
\(\qquad \sf \dashrightarrow \: \cos(45 \degree) = \dfrac{b}{ 4 } \)
\(\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{b}{4} \)
\(\qquad \sf \dashrightarrow \: b = \dfrac{4}{ \sqrt{2} } \)
\(\qquad \sf \dashrightarrow \: b = 2 \sqrt{2} \)