Answer:
8 is a solution for the following equations:
x + 6 = 2 (subtracting 6 from both sides gives x = -4)
x - 4 = 4 (adding 4 to both sides gives x = 8)
3x = 24 (dividing both sides by 3 gives x = 8)
StartFraction x Over 8 EndFraction = 1 (multiplying both sides by 8 gives x = 8)
Note that for x+2=10 and x-2=10 and 2x = 4, 8 is not a solution.
if x(t) = 3tu(t), what is y(t) =
y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.
The function x(t) = 3tu(t) is a product of a scalar 3 and a unit step function u(t). Here, u(t) is defined as:
u(t) = 0 for t < 0
u(t) = 1 for t >= 0
So, x(t) is equal to 3t for t >= 0 and equal to 0 for t < 0.
The function y(t) is the derivative of x(t) with respect to t. To find the derivative of x(t), we use the power rule for differentiation, which states that the derivative of tx(t) is x(t) + t × dx(t)/dt.
So, we have:
y(t) = dx(t)/dt = d(3tu(t))/dt = 3u(t) + 3tu'(t) = 3u(t)
Here, u'(t) is the derivative of u(t) with respect to t, which is equal to the Dirac delta function δ(t).
So, we have:
y(t) = 3u(t) = 3 for t >= 0
y(t) = 0 for t < 0
Hence, y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.
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5 eggs were cracked. this was 1/6 of the total number of eggs in the flat.
A. how many eggs were in the flat?
B. what percent of the eggs in the flat were not cracked?
Answer:
A. To find out how many eggs were in the flat, you need to use the information that 5 eggs were cracked, which is 1/6 of the total number of eggs in the flat.
If 5 eggs is 1/6 of the total number of eggs in the flat, then you can set up an equation to find the total number of eggs:
5 eggs = (1/6) * x
Where x is the total number of eggs in the flat.
To solve for x, you can cross-multiply to get:
5 eggs * 6 = 1 * x
Which gives:
x = 30
So there were 30 eggs in the flat.
B. To find out what percent of the eggs in the flat were not cracked, you need to know how many eggs were not cracked and divide that number by the total number of eggs in the flat, and then multiply by 100 to get the percentage.
Since 5 eggs were cracked and there were 30 eggs in the flat, you can find the number of eggs that were not cracked by subtracting the number of cracked eggs from the total number of eggs:
30 eggs - 5 eggs = 25 eggs
So 25 eggs were not cracked.
To find the percentage, you can divide the number of eggs that were not cracked by the total number of eggs in the flat and multiply by 100:
(25 eggs / 30 eggs) * 100 = 83.33%
So, 83.33% of the eggs in the flat were not cracked.
A thick coin with a head on one side and a tail on the other has a probability of 0.4 of coming up heads, 0.4 of coming up tails, and 0.2 of coming to rest on its edge. What is the probability that exactly two tails will come up in three tosses of this coin? (assume tosses are independent) round to 4 decimals
this is my work:
using the binomial probability formula.
the formula for the probability of getting k success in n trials of a Bernoulli experiment is: P(k) = C(n, k) * p^k * (1-p)^(n-k)
where C(n, k) is the binomial coefficient, p is the probability of success in one trial, and (1-p) is the probability of failure in one trial.
In this case,
n = 3 (number of tosses)
k = 2 (number of tails)
p = 0.4 (probability of getting tails in one toss)
So, P(2) = C(3, 2) * (0.4)^2 * (1-0.4)^(3-2)
P(2) = (30.160.2) = 0.096
therefore, the probability of getting exactly two tails in three tosses of this coin is 0.096.
The probability that exactly two tails will come up in three tosses of this coin is given as follows:
0.288 = 28.8%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 3, p = 0.4.
The probability that exactly two tails will come up in three tosses of this coin is P(X = 2), hence:
P(X = 2) = 3 x 0.4² x 0.6
P(X = 2) = 0.288.
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8 _ 6 _ 4 _ 2=30 you can use - ,+, x find the missing signs.
Answer:
+, x, -
Step-by-step explanation:
8 + 6 x 4 - 2
8 + 24 - 2
32 - 2
30
The slope of the line which connect
points G(-3, -2) and H(x, 11) is
undefined. What is the value of x?
Answer:
-3
Step-by-step explanation:
A vertical line has undefined slope. These two points will be stacked one directly above (below) the other. The x will be the same in both points.
So the unknown in H(x,11) is -3
H (-3, 11)
Answer:
Below
Step-by-step explanation:
Vertical lines have slope = 'undefined'
so the 'x' values in the two points have to be the same (vertical line)
x = -3
As a side note: Horizontal lines have a slope = 0
Is (x - 2) a factor of f(x) = x3 - 2x2 + 2x + 3? Explain your reasoning.
No, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ f (x) = x³ - 2x² + 2x + 3
And, The factor is (x - 2)
Now, If (x - 2) is factor of function then x = 2 satisfy the function.
Hence, We can check as,
⇒ f (x) = x³ - 2x² + 2x + 3
Put x = 2
⇒ f (2) = 2³ - 2 (2)² + 2 × 2 + 3
⇒ f (2) = 8 - 8 + 4 + 3
⇒ f (2) = 7 ≠ 0
Hence, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
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The table provides various values, including select minimums and maximums, of a particular cosine function f (x).
Angle −π negative 2 times pi over 3 negative pi over 2 negative pi over 3 0 pi over 2 π
f (x) 4 5 over 2 1 negative 1 over 2 −2 1 4
What is the period of the function that contains these points?
The period of the function based on the information will be D. 2π.
How to calculate the periodThe period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.
One cycle of the sine curve's length is referred to as its period. The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.
f(x + k) = f(x).
-2sin(k + x) + 2 = 2sinx + 1
sin(k + x) = sin(2π + x)
k + x = 2π + x
k = 2π
The period is 2π.
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The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
Angle 0 pi over 6 pi over 2 5 pi over 6 3 times pi over 2 2π
f (x) 1 0 –1 0 3 1
What is the period of the function?
A) 2 times pi over 3
B) pi over 2
C) π
D) 2π
Please help precal problem.
Use the graph of f shown to find the x-values (if any) at which f is not continuous.
The discontinuity as x is -3 is removable by defining f(-3) is -1/8.
Exactly how can you tell if a graph is continuous or not?Factoring the function's denominator and numerator first is the recommended approach.When a number has zeros in both the numerator and denominator, a point of discontinuity is reached.
There is a point of discontinuity there since the denominator and numerator are both zeros.If x is between 0 and 1, we say that the function is discontinuous.
This function has 3 asymptotes, which are lines that the curve approaches but doesn't cross.The vertical line x=1 is one of them, along with the x-axis, y-axis, and (denoted by a dashed line in the graph above).
Maybe you have
f ( x) = x+ 3/x²- 2x -15
= x+3/(x+3)(x-5)
= 1/x- 5
x infinite -3
This will have discontinuities (points where the function is undefined) at .
x = -3
x = 5
The discontinuity as x = -3 is removable by defining f(-3) = -1/8.
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Two cylinder, and, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of and to cylinder p and q. Explain your reasoning
The larger radius of Cylinder P, which produces a lower the height per unit volume, compared to the smaller radius of Cylinder Q, indicates;
Graph a, matches the graph of Cylinder Q
Graph b, matches the graph of Cylinder P
How can the volume of water in the cylinders be found?The volume of water in a cylinder can be found using the formula;
V = π·r²·h
The volume of water is therefore, directly proportional to the volume, therefore, we get;
V ∝ h
V = k·h
Where; k = The constant of proportionality = The slope of the graph of the proportional relation
The equation, V = π·r²·h, indicates that we get;
k = π·r²
The value of the radius for P, r₁ is larger than the value of the radius for Q, r₂
Therefore, k₁ = π·r₁² > k₂ = π·r₂²
h = V/(π·r²)
The height of the water in Cylinder P, h₁ = V/π·r₁²The height of the water in Cylinder P, h₂ = V/π·r₂²Therefore, for a specified volume, V, V/π·r₁² < V/π·r₂², h₁ < h₂, and as the water is added, the height of the water in Cylinder Q increases more than the height of the water in Cylinder P, which indicates that we get;
Graph a corresponds to the graph of Cylinder Q, and graph b corresponds to the graph of Cylinder P.
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Can someone please help me, I am just not sure of my answer
Answer:
tally 4 which has 19 points
Step-by-step explanation:
22+19=41
41/2 = 20.5, divided by two because the team is involved in only two game tournament
this is the least she should have in average to win the MVP award.
since more then 20 means not including 20 but more than of it.
the functions f and g are such that f(x)= x/(x+5) and g(x)=2x+1. Find fg(x)
Answer:
Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g. Combine the opposite terms in (x− 2)+2 ( x - 2) + 2
Step-by-step explanation:
if that helps
What would the critical chi-square value be if my test involves seven classes? Table 1. Critical chi-square values for a p-value of 0.05. Reject the null hypothesis if χ2calc > χ2crit.
df χ2crit
1 3.84
2 5.99
3 7.81
4 9.49
5 11.07
6 12.59
7 14.07
8 15.51
9 16.92
10 18.31
11 19.68
12 21.03
13 22.36
14 23.68
15 25.00
16 26.30
17 27.59
18 28.87
19 30.14
20 31.41
The critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.
A hypothesis is an educated guess or prediction about a relationship between variables. The critical chi-square value is the value that is used to make a decision about the hypothesis.
If the calculated chi-square value is greater than the critical chi-square value, we reject the null hypothesis, which states that there is no significant difference between the expected and observed frequencies.
For a chi-square test with seven classes, the critical chi-square value can be found by looking at the critical chi-square values for a p-value of 0.05, as shown in Table 1.
The degrees of freedom (df) is equal to the number of classes minus 1, so in this case, df = 7 - 1 = 6.
Therefore, the critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.
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The value of a car decreases at a constant rate. After 3 years, the value of the cat is $15,000. After 2 more years, the value of the car is $11,000. Write and solve a linear equation to find the value of the car after 8 years.
After 8 years how much is the car worth?
to get the equation of any straight line, we simply need two points off of it, let's use the provided values
[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{years}&\stackrel{y}{value}\\ \cline{1-2} 3&15000\\ 5&11000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{3}~,~\stackrel{y_1}{15000})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11000})[/tex]
[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{11000}-\stackrel{y1}{15000}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ -4000 }{ 2 } \implies - 2000 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15000}=\stackrel{m}{- 2000}(x-\stackrel{x_1}{3})[/tex]
[tex]y-15000=-2000x+6000\implies {\Large \begin{array}{llll} y=-2000x+21000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{after 8 years, x = 8}}{y = -2000(8)+21000}\implies \boxed{y=5000}[/tex]
The above answer is better
max built a skateboard ramp that is 16 inches high. the angle formed by the ramp and the ground is 21 degrees. what is the length of the ramp?
Answer:
The length of the ramp can be found using the tangent function:
tan(21°) = height/length
length = height / tan(21°)
length = 16 inches / tan(21°)
Note: make sure to convert the height from inches to the same unit used in the tangent function, usually radians.
Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented
by the thin curve.
1) Describe the
translation of the parent
graph.
2) How does the translation relate to the equation?
The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
What is graph?Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.
The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
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brett drives his skidoo 7 kilometers north. he stops for lunch and then drives 5 kilometers east. what distance did he cover
The distance Brett covered was 12 km, but his displacement was 8.6 km.
DistanceDisplacement is a vector quantity that is measured as a change in an object's position, so the length of the position from the object's initial point to the object's end point.
Distance is a scalar quantity which is defined as the length of the entire path traveled by an object.
Given:
S₁ = 7 kmS₂ = 5 kmDistance?Displacement?Distance = S₁ + S₂
Distance = 7 + 5
Distance = 12 km
The distance Brett has covered is 12 km.
Starting position = A
Final position = C
Displacement = AC
The displacement in this case is calculated by the Pythagorean theorem.
AC² = AB² + BC²
Displacement² = S₁² + S₂²
Displacement² = 7² + 5²
Displacement² = 49 + 25
Displacement² = 74
Displacement = [tex]\sqrt{74}[/tex]
Displacement = 8.6 km
The displacement that Brett has covered is 8.6 km.
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The temperature in a city is -1.5 C drag numbers to the empty boxes to complete the sentence and equation correctly ?
The equation for the given scenario is -1.5+1.5 =0.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Given that, the temperature in a city is -1.5° C
Now,
The temperature needs to rise -1.5° C to reach 0° C.
Then, the equation is
-1.5+1.5 =0
0 = 0
Therefore, the equation is -1.5+1.5 =0.
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Find the surface area of each of the following figures using the given values. 1. Cube: (s = side) a. s = 5 ft b. s = 6 in c. s = 12 mm 2. Rectangular prism: ( l = length) (w = width) (h = height) a. l = 2, w = 5, h = 7 (ft) b. l = 16 in, w = 11 in, h = 10 in 3. Sphere: (r = radius) (d = diameter) a. r = 12 b. r = 16 c. d = 10 4. Cylinder: (r = radius) (h = height) a. r = 6, h = 12 b. r = 2, h = 10 c. r = 3, h = 5 5. Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?
The surface areas of the regular solids are;
1. a. 150 ft²
b. 216 ft²
c. 894 mm²
2. a. 118 square units
b. 892 in²
3. a. 576·π square units
b. 1024·π square units
c. 100·π square units
4. a. 216·π square units
b. 48·π square units
c. 48·π square units
5. To complete the task, two circles of 1 ft radius should be cut from the carpet, followed by cutting a rectangular shape of width 4 ft and length of 2·π ft
What is the surface area of a solid?The surface area of a solid is the sum of the areas that form a boundary around the outer part of the solid.
1 The surface area of a cube is A = 6·s²
a. When s = 5, A = 6 × 5² = 150
The surface area of a square of side length s = f ft = 150 ft²b. When s = 6 ft, A = 6 × 6² = 216
The surface area of a square of side length, s = 6 ft = 216 ft²c. When s = 12 mm, A = 6 × 12² = 864
The surface area when the side length of the square is 12 mm is 894 mm²2. The surface area of a rectangular prism is; S.A. = 2·l·w + 2·h·w + 2·l·h
a. l = 2, w = 5, h = 7
Surface area = 2 × (2 × 5 + 5 × 7 + 2 × 7) = 118
The surface area = 118 square unitsb. l = 16 in, w = 11 in, h = 10 in
The surface area = 2 × (16 × 11 + 16 × 10 + 10 × 11) = 892
The surface area of the rectangular prism is 892 in²3. The surface area of a sphere, A = 4·π·r²
a. The radius of the sphere, r = 12
A = 4 × π × 12² = 576·π
The surface area of the square, A = 576·πb. r = 16, therefore;
A = 4 × π × 16² = 1024·π
The surface area when the radius is 16 units is 1024·π square unitsc. When the diameter, d = 10, we get;
A = 4·π·r² = 4·π·(d/2)² = 4·π·d²/4
A = 4·π·d²/4 = π·d²
Therefore; the surface area, A = π × (10 units)² = 100·π square unitsThe surface area of a sphere of diameter, d = 10 units is 100·π square units4. The surface area of a cylinder, A = 2·π·r·h + 2·π·r²
a. r = 6, h = 12, therefore;
A = 2×π×6×12 + 2×π×6² = 216·π
The surface area of the cylinder = 216·π square unitsb. r = 2, h = 10, therefore;
A = 2×π×2×10 + 2×π×2² = 48·π
The surface area of the cylinder = 48·π square unitsc. r = 3, h = 5, therefore;
A = 2×π×3×5 + 2×π×3² = 48·π
The surface area of the cylinder = 48·π square units5. The diameter of the cylinder = 1 ft
Height of the cylinder = 4 ft
The area for the carpet to cover the each of the top and bottom = π×1² ft² = π ft²
The area to cover the curved surface = 2 × π × r × h
Therefore, area of the curved surface = 2 × π × 1 × 4 = 8·π
Area of the curved surface = 8·π ft²
Two circular shapes of radius 1 ft should be cut, followed by a rectangle of side length, 4 ft, and width 8·π/4 ft = 2·π ft
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It is known that 13% of all golfers play on the weekends. We select 25 golfers and count the number of golfers who play in weekends. For this binomial problem, which of the following is true? The probability of each golfer playing on weekends changes from one golfer to another. A "failure" would be finding a golfer who plays on weekends. The random variable is the number of golfers who do not play on weekends. The value of p is 0.13.
Answer:
The value of o is 0.13.
Step-by-step explanation:
Triangle ABC with points A(9,4) B(4,12) and C(-2,-4) has been transformed to create triangle A’B’C’ with points A’(-4,9) B’(-12,4) and C’(4,-2). What transformation has taken place?
A bathtub ha ome water in it. Mia turn on the faucet to add more water. The total amount of water in gallon, y i a function of the time minute ince Mia turn on the faucet, x
The linear equation representing Mia's situation is y = 3x + 12.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The two points given are - (4,24) and (6,30)
The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.
To find the slope use the formula -
m = (y2 - y1)/(x2 - x1)
m = (30 - 24)/(6 - 4)
m = 6/2
m = 3
So, now the equation becomes - y = 3x + b
To find the y-intercept substitute the equation with x and y values -
24 = 3(4) + b
24 = 12 + b
b = 24 - 12
b = 12
So, now the equation becomes - y = 3x + 12.
Therefore, the linear equation y = 3x + 12.
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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?
if a1 = 2 and an=an-1-4 then find the value of a4
The fourth term of the arithmetic sequence will be negative 10.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term (a₁) is 2. And the common difference is given as,
aₙ = aₙ₋₁ - 4
aₙ - aₙ₋₁ = - 4
d = - 4
The fourth term of the arithmetic sequence is given as,
a₄ = 2 + (4 - 1)(-4)
a₄ = 2 + 3 x (-4)
a₄ = 2 - 12
a₄ = - 10
The fourth term of the arithmetic sequence will be negative 10.
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Question 6 of 12
Graph the function f(x)=√x-1. Then answer the following questions.
(a) On what interval, if any, is the function increasing? Decreasing?
(b) Is the function odd, even, or neither?
(c) Give the function's extrema, if any.
(d) How does the graph relate to a graph of one of the twelve basic functions?
***
This test: 12 point(s) possible
This question: 1 point(s) possib
Observing the options we see that the graph the corresponds to the given coordinates is option B. The function is increasing in the function (1, infinity).
What is first derivative of a function?
The rate of change of one variable with respect to another variable is represented by a function's first order derivative. For instance, in physics, we define a body's velocity as the rate at which its location changes in relation to time.
Given that the function is: f(x) = √x -1.
Substitute the value of x = 1:
f(x) = √ 1 -1
f(x) = 0
The first coordinate is (1, 0).
Substitute the value of f(x) = 0:
f(x) = √ x -1
0 = x -1
x = 1
The second coordinate is (1, 0).
Observing the options we see that the graph the corresponds to the given coordinates is option B.
a. Find the first derivative of the equation f(x) = √x -1.
f'(x) = (1/2)(x - 1)^(1/2)
Equate the value to 0:
(1/2)(x - 1)^(1/2) = 0
x - 1 = 0
x = 1
Hence, the function is increasing in the function (1, infinity).
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which is not one of the three v's of big data?
The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.
There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used
The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.
A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.
However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.
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Complete Question:
which is not one of the three v's of big data?
VibrantVitalVisibleVolumeA survey was conducted to gather ratings of the quality of service at local restaurants. Respondents rated on a scale of 0 (terrible) to 100 (excellent). The following stem plot represents the data: Find the median response. Find the mean response. What can be said about the shape of the distribution?
The data-set in this problem is given by the stem-and-leaf plot, which shows each observation in the problem.
Hence each observation is given as follows:
32, 34, 40, 43, 44, 47,48, 49, 49, 49, 50, 51, 51, 52, 53, 54, 55, 70, 71, 92
The data-set has 20 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 10th and the 11th, as follows:
Median = (50 + 51)/2 = 50.5.
The mean of the data-set is given by the sum of all observations divided by the number of observations, hence:
Mean = (32 + 34 + 40 + 43 + 44 + 47 + 48 + 3 x 49 + 50 + 2 x 51 + 52 + 53 + 54 + 55 + 70 + 71 + 92)/20
Mean = 51.7.
Missing InformationThe problem is given by the image presented at the end of the answer.
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-5(5.25 +3.1x) = -6.2(2.5x + 1.9)
Is the answer 48.23 or no solution
Answer:
-26.25 - 15.5x = -15.5x - 11.78
collect the like term
-15.5x + 15.5x = -11.78 + 26.25
= 14.48
Answer:
no solution
Step-by-step explanation:
- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides
- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )
- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )
0 = 14.47 ← False
this false statement indicates the equation has no solution
The speedometer in every car also has an odometer that records the distance traveled. a) If the odometer reads zero at the beginning of a trip and 25 km a half hour later, what is the average speed in km/h? b) What is the average speed in mi/h (mph)? c) If a cheetah can maintain a constant speed of 25 m/s it will cover 25 meters every second. At this rate, how far will it travel in 5 seconds? d) How far will the cheetah travel in 1 minute?
A: Average speed of the car is 50 km per hour,
B: speed in miles per hour is 34.068 miles per hour,
C: The distance covered by a cheetah in 5 seconds is 75 meters,
D: distance covered by a cheetah in 1 minute is 1500 meters.
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction The term "velocity" refers to the combination of direction and speed.
Given the distance covered in half-hour = 25 km
speed = distance/time
speed = 25/.5
speed = 50 km per hour
av. speed = 50 km per hour
B: we know,
1 km = 0.621371 mile
50 km = 50*0.621371
50 km = 31.068 miles
av. speed = 34.068 miles per hour
C: speed of cheetah = 25 m/s
distance covered in 5 seconds = 25* 5
distance covered in 5 seconds = 75 meters
D: distance covered in 60 seconds = 25*60
distance covered in 60 seconds = 1500 meters
Hence average speed is 50 km per hour,
speed in mph is 34.068 miles per hour,
distance covered in 5 seconds is 75 meters,
distance covered in 60 seconds is 1500 meters.
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The height of a plant, y, in centimeters, is measured x weeks after planting a seed. The height can be modeled by the regression equation y = StartFraction 6.88 Over 1 + 2,139.99 e Superscript negative 0.47 x Baseline EndFraction. Which statement best interprets the value 6.88? The plant grows 6.88 cm each week. The initial height of the plant is 6.88 cm. The plant takes 6.88 weeks to reach a height of 2,139.99 cm. The limiting value for the height of the plant is 6.88 cm.
After 7 weeks, the plant's approximate height is 8.7 cm.
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol.
Here,
You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).
y = 1.2792x - 0.1665
y = 1.2792 (7) - 0.1665
y = 8.78 centimeters.
The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.
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Micah i preparing for a piano recital. He practice for 50 minute on Monday and 90 minute on web day. How did the amount of time that Micah pent practicing change from Monday to Wenday?
The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.
Determine the amount of time Micah spent practicing on Monday. This is 50 minutes.Determine the amount of time Micah spent practicing on Wednesday. This is 90 minutes.Subtract the time spent practicing on Monday from the time spent practicing on Wednesday. This is 90 minutes - 50 minutes = 40 minutes.The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.Learn more about math calculation:
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Answer:80% trust bro
Step-by-step explanation:
Consider the following reaction profile: A13. Transition State 1 Transition State 2 Intermediate E Eal Reactants AH Products Reaction Coordinate Which of the following statements describing this reaction profile is CORRECT?It applies to both SN1 and E1 reactions. It applies to an SN1 reaction but not to an E1 reaction It applies to both SN2 and E2 reactions. It applies to an SN2 reaction but not to an E2 reaction. It applies to an elimination reaction but not a substitution reaction
The correct reaction profile is it applies to both SN1 and E1 reactions.
The term reaction is defined as a process in which one or more substances, also called reactants, are converted to one or more different substances, known as products
Here we have know that in a chemical reaction and then a transition state is a state that exists between reactants and intermediates or products directly,
Here in which bonds are concurrently breaking and forming new ones.
And it is extremely unstable and highly energetic.
We know that both intermediates and transition states are the states that are present between the reactants and the reaction's end products, on the other hand they differ in that intermediates have full bonds, are more stable than the substrate and therefore have a lower energy and have a discrete lifetime,
Here we know that instead of a transition state has only partial bonds and is least unstable, thus making it the state with the highest energy at the reaction profile.
Therefore the correct option is (a).
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