Answer:
5
Step-by-step explanation:
1. Find the Mean
(2+8+10+16)/4=9
2.For each number, subtract the Mean and square the result.
(2-9)^2=49
(8-9)^2=1
(10-9)^2=1
(16-9)^2=49
3. Find the Mean of those squared differences.
(49+1+1+49)/4=25
4.Take the square root of that and this is what you want.
square root of 25 = 5
If the value of the mean is 9. Then the mean absolute deviation will be 4.
What is the mean absolute deviation (MAD)?It is the average distance between each data point and the mean.
The MAD is given as
[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]
The data set is given below.
2,8,10,16
Then the mean will be
μ = (2 + 8 + 10 + 16) / 4
μ = 36 / 4
μ = 9
Then the mean absolute deviation will be
MAD = (|2 - 9| + |8 - 9| + |10 - 9| + |16 - 9|) / 4
MAD = (7 + 1 + 1 + 7) / 4
MAD = 16 / 4
MAD = 4
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Quiz 4: Solving Inequalities
Elijah wants to hire a painter and keep his total bill to at most $100. The painter charges a $60 flat fee to come to his house and then $15 per hour. Which inequality best
represents the situation if x represents the number of hours the painter works?
Answer:
[tex]15x+60\leq 100[/tex]
Step-by-step explanation:
Let
x -----> the number of hours that the painter works
we know that
The inequality that represented this situation is equal to
[tex]15x+60\leq 100[/tex]
solve for x
Subtract 60 both sides
[tex]15x\leq 100-60[/tex]
[tex]15x\leq 40[/tex]
Divide by 15 both sides
[tex]x\leq 40/15[/tex]
[tex]x\leq 2.67\ hours[/tex]
The maximum number of hours is 2
A dairy cow can produce 5400 quarts of milk per year. Suppose there are about 6.4 million cows in the U.S.
Use scientific notation to calculate how much milk is produced in the U.S. yearly.
quarts.
Answer:
3.46 x [tex]10^{10}[/tex]
Step-by-step explanation:
Number of cows 6.4 million = 6.4 x [tex]10^{6}[/tex]
production rate for each cow per year = 5400 = 5.4 x 10³
Total amount of milk produced per year,
= 6.4 x [tex]10^{6}[/tex] x 5.4 x 10³
= (6.4) (5.4) x [tex]10^{6+3}[/tex]
= 34.56 x [tex]10^{9}[/tex]
= 3.46 x [tex]10^{10}[/tex]
Idk what the answer is help me or nah?????
Answer:
x = 13.0
Step-by-step explanation:
We are given the two legs of the right triangle.
We can use the Pythagorean theorem.
a^2 +b^2 = c^2
7^2 +11^2 = x^2
49+121 = x^2
170 = x^2
Take the square root of each side
sqrt(170) = sqrt(x^2)
13.038 = x
To the nearest tenth
13.0 =x
Find the indicated term of the given geometric sequence. a1 = 14, r = –2, n = 11
Answer:
[tex]a_{11} = 14336[/tex]
Step-by-step explanation:
The general formula for the twelfth term of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
Where [tex]a_1[/tex] is the first term and r is the common ratio
In this case we know that:
[tex]a_1 = 14\\r=-2[/tex]
The equation is:
[tex]a_n = 14(-2)^{n-1}[/tex]
So for [tex]n = 11[/tex] we look for [tex]a_{11}[/tex]
[tex]a_{11} = 14(-2)^{11-1}[/tex]
[tex]a_{11} = 14(-2)^{10}[/tex]
[tex]a_{11} = 14336[/tex]
Answer:
[tex]11^{th}[/tex] term = 14336
Step-by-step explanation:
We are given the first term [tex] a _ 1 = 1 4 [/tex] and common ratio [tex] r = - 2 [/tex] of a geometric sequence and we are to find the [tex]11^{th}[/tex] term of this sequence.
We know that the formula to find the [tex]n^{th}[/tex] term in a geometric sequence is given by:
[tex]n^{th}[/tex] term = [tex] a r ^ { n - 1 } [/tex]
Substituting the given values in the above formula:
[tex]11^{th}[/tex] term = [tex]14 \times(-2)^{11-1}[/tex]
[tex]11^{th}[/tex] term = [tex]14 \times(-2)^{10}[/tex]
[tex]11^{th}[/tex] term = 14336
Evaluate a + 6 for a = 10?
6
16
60
Same question as the previous one but forgot to show the answer choices
Answer:
C
Step-by-step explanation:
x apples cost 80
1 apple costs 80/x
5 apples costs 80*5/x = 400/x
The same calculation works for the oranges.
y oranges cost 75
1 orange = 75/y
6 oranges = 75*6/y
6 oranges = 450/y
The total cost is 450/y + 400/x which is C
Solve: 62x - 3 = 6-2x+1
x = -1
x = 0
x = 1
x = 4
Answer: X=1 Is the answer on edge 2023 :)
Step-by-step explanation: X=1
To solve the equation 62x - 3 = 6 - 2x + 1x, combine like terms, add and subtract terms to isolate x, and simplify the solution.
Explanation:To solve the given equation, 62x - 3 = 6 - 2x + 1x:
Combine like terms: 63x - 3 = 6 - xAdd x to both sides: 63x + x - 3 = 6Combine like terms: 64x - 3 = 6Add 3 to both sides: 64x - 3 + 3 = 6 + 3Combine like terms: 64x = 9Divide both sides by 64: 64x / 64 = 9 / 64Simplify: x = 9 / 64Therefore, the solution to the equation is x = 9 / 64.
a line in the xy- plane has the equation y=kx, where k is a constant. The line passes through the point (1,n) and (n,16). which of the following could be the value of n?
A)1
B)2
C)4
D)8
Answer:
Option C) 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
The equation of the line represented a direct variation
The value of k is equal to [tex]k=y/x[/tex]
we have the points
(1,n) and (n,16)
so
[tex]k=n/1[/tex]
[tex]k=16/n[/tex]
equate
[tex]n/1=16/n[/tex]
solve for n
[tex]n^{2}=16\\ \\n=(+/-)4[/tex]
therefore
The value of n could be 4 or -4
To find the value of n, substitute the given points into the equation y=kx and solve for n. The possible value of n is 4.
Explanation:To find the value of n, we need to use the given points and equation. Since the line passes through (1,n), we can substitute these values into the equation y=kx to get n=k(1) or n=k. Similarly, substituting the values (n,16) into the equation gives us 16=k(n). By equating these two equations, we can solve for k and n.
Using substitution, we have n=16/n. Solving this equation by multiplying both sides by n, we get n^2=16. Taking the square root of both sides, we have n=±4. Therefore, the value of n that could be possible is 4.
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A pair of ordinary dice is rolled. What is the probability that each die will show a number higher than 4. 1. (1/36) 2. (1/12) 3. (1/6) 4. (1/4) 5. (1/3)
Answer:
the answer is 1/12
Step-by-step explanation:
it is 1/12 because if there are only a pair you would have 2 dice. and since each die has numbers all the way up to 6 all you have to do is add them. and don't count all the numbers. like add 1+2+3+4+5+6. that's just plain wrong just do add the highest number on each die (6+6)
Find the area of a square whose perimeter is equal 36m
Answer: Area of Square = 81m^2
Step-by-step explanation:
To find the area of a square you just need to know the side length on one side, and since we know that the perimeter is 36, and all sides of a square are equal we can divide 36/4, to get 9 is your side length.
Now to actually find the area you can just square your side length, so basically 9x9, which gives you 81, your answer!!
Answer:
Area = 81m^2
Step-by-step explanation:
Square has 4 equal sides so 36/4 = 9
9(9) = 81
Hope this helps :)
Complete the missing parts of the table for the following function
The missing parts of the table for [tex]\( x = 0 \)[/tex] and [tex]\( x = 3 \)[/tex] are 1 and 216, respectively.
Let's solve for the missing values step by step.
The function given is [tex]\( y = 6^x \)[/tex]. This means that for each value of [tex]\( x \)[/tex], [tex]\( y \)[/tex] will be [tex]\( 6 \)[/tex] raised to the power of [tex]\( x \)[/tex].
Step 1: Solve for [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]
The exponent law states that any number raised to the power of 0 is 1. Therefore:
[tex]\( y = 6^0 = 1 \)[/tex]
Step 2: Solve for [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex]
To find [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex], we simply raise 6 to the power of 3:
[tex]\( y = 6^3 = 6 \times 6 \times 6 = 216 \)[/tex]
So, the completed table should look like this:
[tex]$\begin{array}{rrrrrrr}x & -2 & -1 & 0 & 1 & 2 & 3 \\ y & \frac{1}{36} & \frac{1}{6} & 1 & 6 & 36 & 216\end{array}$[/tex]
4 added to the difference of d minus 3
The ratio for the expression "4 added to the difference of d minus 3" can be represented as: (d - 3) + 4.
Explanation:Expression: "The difference of d minus 3"
This means subtracting 3 from d:
d - 3
Expression: "4 added to the difference of d minus 3"
Add 4 to the result of the previous expression:
(d - 3) + 4
This gives us the entire expression "4 added to the difference of d minus 3.":
(d - 3) + 4
Combine like terms:
d + 1
Therefore, the simplified form of the given expression is (d + 1).
Which is the correct formula to calculate the volume of a cone?
Answer:
Multiply all the sides
Step-by-step explanation:
Multiply every side together and you should get your answer just make sure you put the right unit hope this helped :)
A bank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $2,170.00. How much was loaned at each rate?
$ ______was loaned at 10% and
$______ was loaned at 14%.
Answer:
$7 000 was loaned at 10 % and
$10 500 was loaned at 14 %
Step-by-step explanation:
Let x = amount loaned at 10 %
Then 17 500 - x = amount loaned at 14 %
0.10x = interest on 10 % loan
0.14(17 500 - x) = interest on 14 % loan
2170.00 = total interest
[tex]\begin{array}{rcl}0.10x + 0.14(17 500 - x) & = & 2170.00\\0.10x + 2450 - 0.14x & = & 2170.00\\2450 - 0.04x & = & 2170.00\\-0.04x & = & -280\\\\x & = & \dfrac{-280}{-0.04}\\\\x & = & \mathbf{7000}\\\\\end{array}[/tex]
$7000 was loaned at 10 % and
$10 500 was loaned at 14 %
Check:
\[tex]\begin{array}{rcl}0.10\times 7000 + 0.14(17 500 - 7000) & = & 2170\\700 + 0.14(10 500) & = & 2170\\700 + 1470 & = & 2170\\2170 & = & 2170\\\end{array}[/tex]
OK.
The slope of a line is
-1/5 and the y-intercept is 5. What is the equation of the line written in general form?
0x-51-25=0
0x-5y-5=0
X + 5y - 25 = 0
Answer:
Step-by-step explanation:
This is impossible to figure out because 0 = 0x, as defined by the Zero Property of Multiplication. I apologize.
Jack is organizing his shots he has 20 pair of socks there are seven pair of black socks eight pair of blue socks and the rest of the pair or white how many pair of socks are white
Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplying 2?
if f(x)= 5 ^ x + 2x and g(x)= 3x - 6, find (f+g)(x)
Answer:
(f+g)(x) is 5^x + 5x - 6
Step-by-step explanation:
To find (f + g)(x), we are merely adding up all the terms present in both
f(x)= 5^x + 2x and g(x)= 3x - 6. 5^x is unique and cannot be combined with any other term. 2x and 3x can be combined to obtain 5x. -6 is unique.
Thus, the sum (f+g)(x) is 5^x + 5x - 6.
Answer:
[tex]5^x+5x-6[/tex]
Step-by-step explanation:
[tex]f(x)=5^x + 2x[/tex]
[tex]g(x)= 3x - 6[/tex]
[tex](f+g)(x)[/tex]
[tex]f(x) + g(x)[/tex]
[tex]5^x+2x+3x-6[/tex]
[tex]5^x+5x-6[/tex]
Is a triangle is a right angel then the other two angles must be
Congruent?
Vertical?
Acute?
Or
Supplementary?
Answer:
acute
Step-by-step explanation:
.
What is the area of the irregular polygon shown below?
O
A. 65 sq. units
O
B. 49 sq. units
O
C. 105 sq. units
O
D. 35 sq. units
Answer:
Option B: 49 square units.
Step-by-step explanation:
The irregular polygon consists of a rhombus a square.
Area of rhombus = 0.5*(product of diagonals).
Area of square = length * length = l^2.
The diagonals of the rhombus measure 8 units and 6 units respectively. The diagram shows the length of half of the diagonals, so doubling both the lengths gives us the required lengths. The side of the square measures 5 units. Substituting all the information in the formula:
Total Area = Area of rhombus + Area of square.
Total Area = 0.5*8*6 + 5^2.
Total Area = 24 + 25
Total Area = 49 square units.
Therefore, Option B is the correct answer!!!
Maria solved an equation as shown below. What is the solution to Maria’s equation?
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
We have the following equation
[tex]3(x+6)=5(x-4)[/tex]
Notice that in this equation the variable that we want to find is x.
Then the equation for the variable x must be solved
After applying the distributive property and simplifying the equation Maria obtained the following result
[tex]19=x[/tex]
This is the same as:
[tex]x=19[/tex]
That means that the value of x for which equality is met is [tex]x = 19[/tex]. Therefore the solution of the equation is [tex]x = 19[/tex]
The solution set of 2x+1 = 8 is
B. (2)
C. (3)
D. (4)
Answer:
This answer isn't there, but it's correct: 3.5
Step-by-step explanation:
Subtract 1 from both sides of the equation.
2x = 7
Divide both sides of the equation by 2.
x = 7/2
x = 3.5
Final answer:
The solution to the equation 2x + 1 = 8 is x = 3.5, but this option is not listed among the provided answers, suggesting a possible error in the options listed.
Explanation:
The question seeks the solution set for the equation 2x + 1 = 8. To find the value of x, we begin by subtracting 1 from both sides of the equation, resulting in 2x = 7. Next, we divide both sides by 2 to isolate x, yielding x = 3.5. However, it's important to note that the options provided do not seem to match this solution. It's possible there was an error in the transcription of the options since none of them include 3.5.
what is the total value of PI
Answer:
pi as a value of 3.14 or 3.14159.
Step-by-step explanation:
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You need to put oil into the gearbox of a rebuilt machine tool. The gearbox holds 16.3 liters of oil but the only oil you have is in 1-quart containers. How many of the one quart containers of oil will you need to fill the gearbox with 16.3 liters of oil
Answer: You will need 18 containers of 1-quart to fill the gearbox with 16.3 liters of oil.
Step-by-step explanation:
Knowing that you have 1-quart containers, you need to make the conversion from quarts to liters. This is:
[tex]1\ quart=0.946\ liters[/tex]
Now, since the gearbox holds 16.3 liters of oil, you can divide the volume of oil the gearbox holds by the volume of a container (which is 0.946 liters or 1-quart) to calculate how many containers of 1-quart you will need to fill the gearbox with 16.3 liters of oil.
[tex]number\ of\ containers=\frac{16.3\ liters}{0.946\ liters}=17.2[/tex]
Based on the result, you will need 18 containers of 1-quart to fill the gearbox with 16.3 liters of oil.
You will need 17 one-quart containers of oil to fill the 16.3-liter gearbox.
Explanation:To determine how many 1-quart containers of oil you will need to fill the 16.3-liter gearbox, we can convert the 16.3 liters to quarts by using the conversion factor of 1 liter = 1.05668821 quarts. So, 16.3 liters would be approximately 17.229 quarts. Since each 1-quart container holds exactly 1 quart of oil, you will need 17 of the 1-quart containers to fill the gearbox with 16.3 liters of oil.
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5) 200 students at a local college campus
were asked to choose between chocolate
and vanilla ice cream. 50 of the 200
students chose chocolate. If the college
has a total of 1000 students,
approximately how many students would
prefer chocolate ice cream?
Answer:
Step-by-step explanation:
The answer is A
Answer:
250 students would
prefer chocolate ice cream
Step-by-step explanation:
50 of 200
+50 +200
100 of 400
+50 +200
150 of 600
+50 +200
200 of 800
+50 +200
250 of 1000
PLEASE HELP ME WITH THIS QUESTION ASAP!!!!
Answer:
137°Step-by-step explanation:
The pentagon RSTYZ is a regular polygon. Therefore all angles are congruent.
If m∠RST = 108°, then m∠STY = 108°.
We have the equation:
m∠UTY + m∠STY + m∠STU = 360°.
Substitute m∠STY = 108° and m∠UTY = 115°.
115° + 108° + m∠STU = 360°
223° + m∠STU = 360° subtract 223° from both sides
m∠STU = 137°
A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax?
The in-line skates will cost $99.891 with the discount.
Explanation:To find the cost of the in-line skates with the discount, we need to calculate the amount of the discount first. The discount is 10% of the original price, which is $110.99. To calculate the discount amount, we can multiply the original price by 0.10. The discount would be $110.99 x 0.10 = $11.099. The discounted price would be the original price minus the discount amount, so the discounted price would be $110.99 - $11.099 = $99.891.
Indicate in standard form the equation of the line through the given points. K(6, 4), L(-6, 4)
y=4
the values of x changes while the y doesn't so it's y=4
Answer:
[tex]y=4[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
The equation of the line in Standard form is:
[tex]Ax + By =C[/tex]
Where A, B, and C are integers.
We can find the slope of this line with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points K(6, 4) and L(-6, 4), we get:
[tex]m=\frac{4-4}{-6-6}=0[/tex]
Substituting the value of "m" and the coordinates of any point on the line into the equation and solving for "b", you get:
[tex]4=0(6)+b\\b=4[/tex]
Therefore, the equation of this line is:
[tex]y=4[/tex]
For what value of x is P|| BC?
A. 5
B. 6
C. 7
D. 8
Answer:
Option C. x=7
Step-by-step explanation:
we know that
If PQ is parallel to BC
then
triangles APQ and ABC are similar
Remember that
If two figures are similar them the ratio of its corresponding sides is proportional
so
[tex]\frac{AP}{AB}=\frac{AQ}{AC}[/tex]
substitute the values
[tex]\frac{x}{x+7+x}=\frac{x-3}{x-3+x+1}[/tex]
Solve for x
[tex]\frac{x}{2x+7}=\frac{x-3}{2x-2}\\ \\x(2x-2)=(2x+7)(x-3)\\ \\2x^{2}-2x=2x^{2}-6x+7x-21\\ \\3x=21\\ \\x=7\ units[/tex]
You want to make a scarf and matching hat. The pattern calls for 1 7/8 yards of fabric for the scarf and 2 1/2 yards of fabric for the hat. How much fabric do you need all?
Answer:
4 3/8 yards.
Step-by-step explanation:
1 7/8 + 2 1/2
= 15/8 + 5/2
Make the denominator 8 in both cases ( The LCM = 8):
= 15/8 + 20/8
= 35/8
= 4 3/8.