Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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Find the slope-intercept equation of the line that has the given characteristics.
Slope 7 and y-intercept (0,3)
The required slope-intercept equation of the line is y = 7x + 3.
Given that,
Slope of the line = m = 7,
The Y-intercept of the line = (0, 3)
To find the slope-intercept equation of the line
A line can be defined by the shortest distance between two points is called a line.
Here,
The slope-intercept form of the line is given as,
y = mx + c - - - - - (1)
Now put m and coordinate of y-intercept in the above equation in order to get c
3 = 7 * 0 + c
c = 3
Now put this c and m in equation 1
y = 7x + 3
Thus, the required slope-intercept equation of the line is y = 7x + 3.
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mark has 54 baseball's cards in monday he gave 1/3 of his cards to Carl on Tuesday 1/6 of the remaining crads to David how many crads does he have left
Answer:
30
Step-by-step explanation:
54/3= 18
54-18=36
36/6= 6
36-6=30
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
What is the distance between the points (7,5) (4,9)
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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to what expression must 5a square-4a+3 be added to make the sum zero??
Answer:
Step-by-step explanation:
Additive inverse of (5a² - 4a + 3) should be added to make them zero
(5a² - 4a + 3) + (-5a² + 4a - 3)= 5a² - 5a² - 4a + 4a + 3 - 3
= 0
Three specimens of Alloys A, B, C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in the alloy A?
Answer:
X=10%
Y=30%
Step-by-step explanation:
The required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Percentage of copper in A = 1/2 [percentage of copper in ingot]
= 1/2 × 20% = 10%
Percentage of zinc in A = 1/3 [percentage of zincin ingot]
= 1/3 × 40% = 13.34%
Thus, the required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.
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The question seems to be incomplete,
Complete question.
Three specimens of Alloys A, B, and C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in alloy A when copper is half of the copper in the ingot and zinc is 1/3 of the zinc in the ingot?
solve the equation x to the power of 2=10
Answer:
√10,−√10
Step-by-step explanation:
award brainliest
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
Lauren uses a calculator to find 3/4 divided by 3 + 8 And the result of 9/4. .
36
Which statement best describes her work?
A) Lauren determined the correct answer.
B) Lauren determined the result of (3 ÷ 4 ÷ 3) + 9 ÷ 36.
C) Lauren determined the result of 3 ÷ 4 ÷ (3 + 9 ÷ 36).
D) Lauren determined the result of (3 ÷ 4) ÷ 3 + 9 ÷ 36.
Answer:
b.
Step-by-step explanation:
Answer:
HELP YOUR MOM AND YOURSELF
Step-by-step explanation:
uwu uwu uwu uwu uwu uwu uwu uwu uwu uwu
How do I simplify this exponents by raising the power ?
The given exponent is expressed as
(3h^20)^3
We would apply the law of exponent which is expressed as
(a^b)^c = a^(bc)
Thus, the expression becomes
3^3 * h^(20 * 3)
= 27h^60
a line with a slope of -3 passes through the point -3,8 what is its equation in slope intercept form
-2/4 times 344/9=?
Please help me . I dont really understand this question.
Answer:
-19 1/9
Step-by-step explanation:
Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
The teacher asked Jenny's class to solve the equation $5x - 6 = 4x + 9$. Jenny copied the coefficient of $x$ on the right-hand side incorrectly and wrote down a different equation. Jenny correctly determined that her equation had no solutions. What was the coefficient of $x$ on the right-hand side of Jenny's equation?
Answer:
15
Step-by-step explanation:
5x - 6 = 4x + 9
+6 + 6
5x = 4x + 15
-4x - 4x
x = 15
Help 50 points (show ur work)
1. The value of 34% of 850 is 289.
3. The amount that Kepley paid for the tool is $120.
How to calculate the value?From the information, we want to calculate 34% of 850. This will be calculated thus:
= 34% ×850
= 34/100 × 850
= 0.34 × 850
= 289
The amount paid for the tool will be:
= Price or tool - Discount
= $200 - (40% × $200)
= $200 - $80
= $120
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The equation is:
Answer: the number of labor was :
Answer:
equation: 1368 = 380 +52xlabor hours: 19Step-by-step explanation:
The desired equation will relate labor cost, parts cost, and total cost.
A.The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.
total cost = part cost + (labor rate)(labor hours)
1368 = 380 + 52x
__
B.This equation can be solved in 2 steps:
988 = 52x . . . . . . . step 1, subtract 380 from both sides
19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x
The number of labor hours was 19.
Differentiate the function with respect to x. Shot steps
Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
\(y=log_{2}x^{3}.(5x^{4}+2)\)
We have to differentiate with respect to x.
y'=xy'+yx'
\(x=log_{2}x^{3}\)
\(y=5x^{4}+2\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
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Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options
Answer:
The value of X is more than equal to -1.83.
Step-by-step explanation:
We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'
LHS of the inequality will be : -32x-5
RHS of the inequality will be : (52-X)
So,
\(-32X-5\leq 52-X\)
Adding X both sides
\(-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52\)
Adding 5 to both sides,
\(-31X-5+5\leq 52+5\\\\-31X\leq 57\)
Dividing both sides by -31.
\(X\geq \dfrac{-57}{31}\\\\X\geq -1.83\)
So, the value of X is more than equal to -1.83.
Find the measure of angles 1-7 that lines m and n are parallel and t is transversalm<1 =
First, from the diagram and the fact that lines m and n are parallel we get that:
1)
\(39^{\circ}+\measuredangle1=180^{\circ}.\)Therefore:
\(\measuredangle1=180^{\circ}-39^{\circ}=141^{\circ}.\)2) Angles 1 and 3 are opposed by the vertex, and the same occurs for angles 5 and 7, 4 and 6, and the angle of measure 39 degrees and 2, therefore:
\(\begin{gathered} \measuredangle1=\measuredangle3\text{ }\Rightarrow\measuredangle3=141^{\circ}, \\ \measuredangle2=39^{\circ}, \\ \measuredangle5=\measuredangle7, \\ \measuredangle4=\measuredangle6. \end{gathered}\)3) Angles 3 and 5 are alternate interior angles, and the same occurs for angles 2 and 4, therefore:
\(\begin{gathered} \measuredangle5=\measuredangle3=141^{\circ}, \\ \measuredangle4=\measuredangle2=39^{\circ}. \end{gathered}\)Answer:
\(\begin{gathered} \measuredangle1=141^{\circ}, \\ \measuredangle2=39^{\circ}, \\ \measuredangle3=141^{\circ}, \\ \measuredangle4=39^{\circ}, \\ \measuredangle5=141^{\circ}, \\ \measuredangle6=39^{\circ}, \\ \measuredangle7=141^{\circ}. \end{gathered}\)PLS HELP!!!
Solve.
2x-y+2z=-6
-3y+z=-2
2x-3z+4
The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
How to solve the system of equations?The system of equations is given as
2x - y + 2z = -6
-3y + z = -2
2x - 3z = -4
Subtract 2x - 3z = -4 from 2x - y + 2z = -6
This is represented as
(2x - y + 2z = -6) - (2x - 3z = -4)
This gives
- y + 5z = -2
Multiply - y + 5z = -2 by 3
-3y + 15z = -6
Subtract -3y + 15z = -6 from -3y + z = -2
This is represented as
(-3y + z = -2) - (-3y + 15z = -6)
This gives
-14z = 4
Divide by -14
z = -2/7
Substitute z = -2/7 in - y + 5z = -2
- y - 5 * 2/7 = -2
This gives
- y - 10/7 = -2
Rewrite as:
y = 2 - 10/7
Evaluate
y = 4/7
Substitute z = -2/7 in 2x - 3z = -4
2x - 3 * 4/7 = -4
This gives
2x - 12/7 = -4
So, we have:
2x = 12/7 - 4
Evaluate
2x = -16/7
Divide by 2
x = -8/7
Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
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Becca tried to evaluate the expression
45−(8×3+15
Answer:
Step-by-step explanation:
45 - (8 x 3 + 15)
45 - (24 + 15) ---> do parentheses first
45 - ( 39 )
45 - 39
6
The value of the expression Becca should get after simplification is 6.
Given is an expression 45 - (8 × 3 + 15), Becca is trying to solve the same,
To evaluate the expression 45 - (8 × 3 + 15), Becca should follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
First, calculate the value inside the parentheses: 8 × 3 + 15
= 24 + 15
= 39.
Now, substitute this value back into the original expression: 45 - 39.
Finally, perform the subtraction: 45 - 39 = 6.
So, the value of the expression is 6.
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Ivy is competing in a 400 m race.
She runs at a constant speed of 5.4 m/s for the first 150 m, then 4.5 m/s for 40 seconds.
The remainder of the race takes her 34 seconds to complete.
What is Ivy's average speed for the entire race to 1 dp?
Answer:
4.5m/s
Step-by-step explanation:
4.5x40=180
180+150=330
400-330=70
70/34=2.05882352941
(2.05882352941x70)+(5.4x150)+(4.5x180)=1791.11764706
1791.11764706/400=4.47779411765
4.47779411765=4.5
4.5m/s
Answer:
Average speed = 3.9 m /s
Step-by-step explanation:
Total distance = 400m
First 150m = 5.4m/s
\(speed = \frac{distance}{time} \\\\time = \frac{distance}{speed} = \frac{150}{5.4} = 27.78 \ s\)
Second part :
S = 4.5m/s for 40s
\(Distance = speed \times time = 4.5 \times 40 = 180 \ m\)
Third part :
Remaining distance = 400 - 150 -180 = 70m
Time taken to cover it = 34s
\(speed = \frac{distance}{time} = \frac{70}{34} = 2.05 \\)
Speed = 2.05m/s
Find average speed
\(Average\ speed = \frac{total \ distance }{total \ time \ taken } \\\\Average \ speed = \frac{400}{101.78} = 3.93 \ mps\)
Round to 1 dp => average speed = 3.9m /s
how do I solve this problem?
Step-by-step explanation:
you know the formulas ?
the area of a circle is : pi×r²
the circumference of a circle is : 2×pi×r
with r being the radius, which is half of the diameter.
so, here, r = 10/2 = 5 m
area = pi×r² = pi×5² = pi×25 or 25×pi m²
circumference = 2×pi×r = 2×pi×5 = 10×pi m
for the approximation we make the calculations with pi on the calculator and round to the nearest hundredth.
area = 25×pi ≈ 78.54 m²
circumference = 10×pi ≈ 31.42 m
15. Express 2/5 as a percentage
Answer:
\(40\%\)
Step-by-step explanation:
\( \frac{2}{5} \times 100 = 40\%\)
Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.
2/5 = 0.4
0.4x100 = 40
2/5 = 40%
11. Martin's suitcase has a volume of 1,080 cubic inches. Lily's suitcase measures 9 inches wide, 13 inches long, and 21 inches high. What is the combined volume of the two suitcases?
Answer: 3,348 cubic inches
Step-by-step explanation:
1. Since we know that volume= length x width x height, then we can plug our values into this equation.
2. So, we would do volume= 9 x 12 x 21.
3. 9 x 12 = 108, and 108 x 21 =2,268.
4. Now that we have both of the volumes, we have to add them together.
5. 1,080 + 2,268 = 3,348
6. The combined volume is 3,348 cubic inches.
SOLVE each system of equations below by substitution
1. y = -3x – 16 and 5x – 2y = -23
2. 6y – 3x = -9 and x = -2y + 5
3. y + 4 = 3x and 2y – 6x = -8
Answer:
1. = (-5 , -1)
2.= (4 , 0.5)
3 = infinite solutions
I dont know if 2 is right but I tried
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Factor x^4 - 12x squared + 36
Answer:
(x^2-6)^2
Step-by-step explanation:
Answer:
(x2-6)^2
Step-by-step explanation:
I think that's the answer not sure
goods bought for $800 had to be sold off at a loss of 8% the selling price was
Answer:
8% of 800 is 64
800-64=736
Step-by-step explanation: