Answer: 2.5
Step-by-step explanation:
Mean m = Sum s ÷ no of observation n
m = 2.5, n = 10
2.5 = s ÷ 10
s = 10 × 2.5
s = 25.
If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.
The no of observation becomes 9.
Therefore new mean = 22.5 ÷ 9
m = 2.5.
How this helps?
The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.
Explanation:The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.
Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.
Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.
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Solve using sublimation
3x+4y=-17
y=-6*-1
Answer:17
Step-by-step explanation:trust me use mathaway;) mathaway dot com
Answer:
x=-41/3, y=6 (-41/3, 6).
Step-by-step explanation:
3x+4y=-17
y=-6*-1
-------------------
3x+4y=-17
y=6
3x+4(6)=-17
3x+24=-17
3x=-17-24
3x=-41
x=-41/3
A rancher owns a rectangular piece of land that is 4.1 mi long and 2.5 mi wide. Find the units for the perimeter of the rectangle defined by this ranch
Answer:
13.1mi
Step-by-step explanation:
Length(l) = 4.1mi
Breadth(b) = 2.5 mi
Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.
Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5
= 8.1 + 5
=13.1 mi
I hope this was helpful, Please mark as brainliest
Answer:
13.2 mi
Step-by-step explanation:
Perimeter of a rectangle
= 2 (L + W)
From the question
L = 4.1
W = 2.5
Using the above formula , we have P = 2 (4.1 + 2.5)
Using the distributive property
2x4.1 + 2x2.5
8.2 + 5
13.2mi
Can someone please answer this question please answer it correctly please show work
Answer:
Actual mean: 223 pages
Predicted mean / estimate: 225 pages
Explanation below
Step-by-step explanation:
Mean = total amount ÷ # of numbers
155 + 214 + 312 + 198 + 200 + 170 + 250 + 260 + 215 + 256
Add
2,230
# of numbers = 10
2,230 ÷ 10 = 223
The exact mean is 223
If I were to predict the mean, I would say that a good estimation would be around 225, because I see that the highest number in the data set is 312, and the lowest is 155. If 312 is rounded down to 300, and 155 is rounded down to 150, the number exactly in the middle of 300 and 150 is 225.
Actual mean: 223 pages
Predicted mean: 225 pages
Hope this helps :)
10 POINTS
Choose the polynomial that is written in standard form.
A:−3x5 + 4x3 + 10x2
B:−8x + 4x4 + 3x3
C:x4 + 4x3 + 10x4
D:x6 + 4x3 + 10x7
Answer:
A
Step-by-step explanation:
-3×5+4×3+10×2
=-15+12+20
=17
Answer:
A: 3x5 + 4x3 +10x2
Step-by-step explanation:
In the diagram above which two red lines are parallel.!?
Answer:L F and K G
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer is not A because:
lines gk and kg are the same line
The answer is not B because:
lines il and gk are perpendicular if they were to touch
The answer is not C because:
line fl and il are perpendicular
The answer IS D because:
lines fl and gk are parallel because they will never touch
helllllpppp please!!!
Do you do Accelus Online School?
I do that too!
Sorry i'd totally answer this question but i'm struggling toooo
find the area of the figure. ( sides meet at right angles)
Answer:
55 square feet
Step-by-step explanation:
We can represent the area as a sum of two rectangles.
A = 8 * 5 + 5 * 3 = 40 + 15 = 55 square feet
Answer:
Step-by-step explanation:
Area of rectangle at top
length =5ft; breadth = 3 ft
Area = 5*3 = 15 sq.ft
Area of rectangle at bottom
length = 8ft ; breadth =8-3 = 5 feet
Area = 8*5 = 40 sq.ft
Area of the figure = 15 + 40 = 55 sq.ft
solve each inequality, graph the solution on the number line, and write the solution in interval notation
3x− 2 > 4 or 5x− 3 ≤ 7
Answer:
[tex](-\infty,+\infty)[/tex]
Step-by-step explanation:
The given inequality is 3x-2>4 or [tex]5x-3\leq 7[/tex]
We group similar terms to obtain: 3x>4+2 or [tex]5x\le7+3[/tex]
Simplify to get:
3x>6 or [tex]5x\le10[/tex]
x>2 or [tex]x\le 2[/tex]
This implies that the solution set is all real numbers.
The solution in interval notation is [tex](-\infty,+\infty)[/tex]
I need help with these 5 questions ASAP and if you answer Ill give whatever you want.
This is my 3rd posting of the question.
Answer:
1. 8n + 4
2. 5x +13
3. X + 3
4. X - 6
5. 4x + 1
Step-by-step explanation:
1.
2n + 6 and 6n -2 so simply addition will be
2n +6 +6n -2
8n +4
2.
3x + 9 + 2x + 4
5x + 13
3.
3x + 5 - 2x -2
X +3
4.
4x + 3 - 3x -9
X -6
5.
6x + 2 - 2x -1
4x + 1
The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat.
Answer:
The distance between the cruise ship and the sail boat is 517 feet.
Step-by-step explanation:
The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is
236 feet - 27 feet = 209 feet.
We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.
Now from trigonometry we get:
[tex]tan \: \theta = \dfrac{209}{d}[/tex]
[tex]d= \dfrac{209}{tan\:\theta }[/tex]
[tex]\boxed{d=517ft}[/tex]
The distance between the cruise ship and the sailboat is 517 feet.
Final answer:
To calculate the horizontal distance between the cruise ship and the sailboat, we subtract the sailboat's height from the cruise ship's height to get 209 feet, use the angle of depression and tangent function, and find that the distance between them is approximately 517.57 feet.
Explanation:
To find the distance between the cruise ship and the sailboat, we need to apply trigonometry. First, we determine the difference in height between the two, which is the cruise ship's height above the water subtracted by the sailboat's height. This will be 236 feet - 27 feet = 209 feet. Since the angle of depression from the cruise ship to the sailboat is 22 degrees, we can use the tangent function, which relates the angle of a right triangle to the ratio of the opposite side to the adjacent side.
The opposite side, in this case, is the difference in height (209 feet), and the adjacent side is the horizontal distance between the ships, which we're trying to find. Thus:
tangent(22 degrees) = opposite/adjacent
adjacent = opposite/tangent(22 degrees)
= 209 feet / tangent(22 degrees)
Now we calculate the tangent of 22 degrees and then divide 209 feet by this amount to find the distance between the two vessels.
Using a calculator, tangent(22 degrees) ≈ 0.4040, so:
adjacent ≈ 209 feet / 0.4040 ≈ 517.57 feet
Therefore, the horizontal distance between the cruise ship and the sailboat is approximately 517.57 feet.
What is 490% as a mixed number
Answer:
49/10
Step-by-step explanation:
when you plug in 490% into your calculator, it shlukd be 49/10.
Answer:
Step-by-step explanation:
49/10 divide the numerator and denominator by gif.490/100=2x5x7 with the power of two=2x5x7with the power of two /2x5 both with th power of two divided 2x5=7 with the power of two/2x5=49/10
Can someone help me plzzzz!
8.2is the answer
Step-by-step explanation:
|CB|+8
Solve for x 2x+6>20 please help
Answer:
x>7
Step-by-step explanation:
2x+6>20
2x>20-6
2x>14
x>14/2
x>7
Find the area of the following geometric figure.
Find the area of a triangle with base of 6 m and altitude of 4 m.
Area =
m2
The quotient of a number and -5, decreased by 9, is 2
Hello there n ÷ 5 - 9 = 2!
Here's how i solved it:
The quotient of a number and -5, decreased by 9, is 2
"is 2" means the result is 2, so we can have one side of the equation set up to look like this: = 2.
The quotient of a number and -5, decreased by 9, is 2
This looks like: n ÷ 5
The quotient of a number and -5, decreased by 9, is 2
We are taking 9 away from the previous expression, so n ÷ 5 - 9
Putting it all together, we have: n ÷ 5 - 9 = 2
The algebraic mathematical problem is to solve the equation x/-5 - 9 = 2. Simplifying this equation through a series of algebraic steps gives the result x=-55.
Explanation:The subject of your question is algebra, a branch of mathematics. You are looking for a number which, when divided by -5 and then decreased by 9, equals 2. The equation that represents this problem is x/-5 - 9 = 2.
To solve for x, we would first get rid of the -9 from the left side of the equation. We do this by adding 9 to both sides of the equation. We then have x/-5 = 2 + 9, which simplifies to x/-5 = 11.
Next, we isolate x by multiplying both sides of the equation by -5. We now get x= -5*11, which gives x = -55. Thus, the number x that satisfies this equation is -55.
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Solve the quadratic equation for x. What is one of the roots?
2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
C)
1
2
D)
1
5
Final answer:
To solve the quadratic equation 2x² + 9x - 5 = 0, the quadratic formula is used, and after calculating the discriminant and applying the formula, one of the roots is found to be 1/2, which is option C.
Explanation:
To solve the quadratic equation 2x2 + 9x - 5 = 0, we can use the quadratic formula which is x = (-b ± √(b2 - 4ac)) / (2a). In this equation, a equals 2, b equals 9, and c equals -5.
Firstly, we need to calculate the discriminant: b2 - 4ac which is 92 - 4 * 2 * (-5) = 81 + 40 = 121.
Since the discriminant is a perfect square, we can proceed with the formula: x = (-9 ± √(121)) / (2*2). The square root of 121 is 11, so we have:
x1 = (-9 + 11) / 4 = 2 / 4 = 0.5 or 1/2x2 = (-9 - 11) / 4 = -20 / 4 = -5Thus, one of the roots of the equation is 1/2, which corresponds to option C.
(-4-3n).-8
Need help
Is 8 /15 + 2/5 closer to 0, 1/2, or 1
Final answer:
The sum of 8/15 and 2/5 is 14/15, which is closer to 1 than to 0 or 1/2 after finding a common denominator and adding the fractions.
Explanation:
To determine whether 8/15 + 2/5 is closer to 0, 1/2, or 1, you need to first find a common denominator for the fractions. The least common denominator for 15 and 5 is 15. You can then rewrite the second fraction, 2/5, with 15 as the denominator by multiplying both the numerator and denominator by 3, which gives you 6/15.
Now add the two fractions:
8/15 + 6/15 = 14/15
This sum is very close to 1, but still less than 1. Therefore, 14/15 is closest to 1.
To conceptualize this, you can think about the fractions in terms of division: 8 divided by 15 is a bit more than half, and 2 divided by 5 is exactly 0.4, which is also slightly less than half. Their sum is thus nearly a whole but not quite there, clearly indicating it's closer to 1 than to 0 or 1/2.
what is the length of KM?
Answer:
B
Step-by-step explanation:
Could be wrong
The length of KM is,
⇒ KM = 80 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Line a is the perpendicular bisector of KM.
Now, We can formulate;
Two sides are isosceles triangle are equal.
Hence we get;
9x - 5 = 7x + 7
9x - 7x = 12
2x = 12
x = 6
Thus, The length of KL is,
KL = 6x + 4
KL = 6 x 6 + 4
KL = 40
So, The length of KM is,
⇒ KM = 2 KL
⇒ KM = 2 × 40
⇒ KM = 80 units
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Write an equation that has variables on each side and has a solution of -2.
Answer:
2(x+4)=6+x
Step-by-step explanation:
Let x be our variable.
We want to write about equation using x that gives us -2 as solution.
We can write many of such equation.
An example is:
[tex]2( x + 4) = 6 + x[/tex]We cross check.
Let us expand:
[tex]2x + 8 = 6 + x[/tex]
Group similar terms:
[tex]2x - x = 6 - 8[/tex]
Combine similar terms:
[tex]x = - 2[/tex]
When is it most appropriate to use the completing the square method to solve a quadratic equation?
Answer:
Don't forget to include a ± sign in your equation once you have taken the square root. Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation.
Step-by-step explanation:
x² + 4x = 15 can be solved best using the completing the square method.
2x(x−3)=0 can be best solved using the zero product property.
If you are convicted of DUI, your fine and jail time will be increased if _____.(FLVS)
Conviction of DUI results in increased fines and jail time if aggravating factors such as high alcohol levels or prior offenses are present.
If you are convicted of DUI (driving under the influence), your fine and jail time will typically be increased if certain aggravating factors are present. These can include having a high blood alcohol content, previous DUI convictions, causing an accident while DUI, especially if injury or death occurred, having minors in the vehicle, and others. The penalties are enhanced due to the increased risk and harm these factors represent.
1.4x - y = -3
1. {-2x + y = 5
Answer:
look at shown picture.
Answer:
The answer is 4
Step-by-step explanation:
Why?...Because this is a site where everything is fake and incorrect.
Simplify g(x)-f(x)= (x^2-x+3)-(5x+4)
The simplified expression is:
[tex]g(x)-f(x) = x^2-6x-1[/tex]
Solution:
Given that the expression is:
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)[/tex]
We have to simplify the expression
The expression can be simplified by combining the like terms
Like terms are terms that have the same variables and powers. The coefficients do not need to match
From given,
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)\\\\Remove\ the\ paranthesis\ and\ solve\\\\g(x) - f(x) = x^2-x+3-5x-4\\\\Combine\ the\ like\ terms\\\\g(x)-f(x) = x^2-x-5x+3-4\\\\Add\ the\ like\ terms\\\\g(x)-f(x) = x^2 -6x + 3 - 4\\\\Add\ the\ constants\\\\g(x)-f(x) = x^2 -6x -1[/tex]
Thus the expression is simplified
how do you solve 2.14 x - 12.18=5.76
The value of x in the equation 2.14x - 12.18 = 5.76 is 8.38.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, we have to solve for x or find the value of x in the equation
2.14x - 12.18 = 5.76.
2,14x = 5.76 + 12.18.
2.14x = 17.94.
x = (17.94/2.14).
x = 8.38.
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How many solutions does the system of equations have 4x+2y=-8 2x+y=4 explain your answer
Answer:
x=-y/2
Step-by-step explanation:
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase
What is the value of x in the proportion (x-1)/5=(4x+3)/35
Answer:
x = 10/3
Step-by-step explanation:
(x - 1)/5*35 = (4x + 3)/35*35
7(x - 1) = 4x + 3
7x - 7 - 4x + 7 = 4x + 3 - 4x + 7
3x/3 = 10/3
x = 10/3
find the zeros/roots of k(x)=x^3+5x^2+9x+45
Answer:
k(x)=x^3+9x+5x^2+45
Step-by-step explanation:
k(x)=x^3+5x^2+9x+45
k(x)=x^2(x+5)+9(x+5)
K(x)=(x+5)(x^2+9)
k(x)=x^3+9x+5x^2+45
If three workers paint a house in 12 hours how long will it take 5 painters to paint the same house
Answer:
60 hours
Step-by-step explanation:
you multiply 5×12 and then you get 60
(1 point)
10. A sample of 20 silver dollar coins is weighed. The mean of the sample is 8.0710 g and the standard deviation of the sample is 0.0411 g. Construct a 95% confidence interval estimate of the mean weight of all the coins.
a) 7.6675g
b) 8.0518g
c) 8.0447g
d) 8.0329g
Answer:
Step-by-step explanation:
i think its b or c
The confidence interval of the mean weight of all the coins is 8.0518g. The correct option is B.
What is a confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.
Given that a sample of 20 silver dollar coins is weighed. The mean of the sample is 8.0710 g and the standard deviation of the sample is 0.0411 g.
The confidence interval is calculated by the formula:-
CI = X ± z (S / √n)
CI = 8.0710 ± [ (1.96 x 0.0411) / √20 ]
CI = 8.0710 - 0.018
CI = 8.053 g
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