Answers
6) The solution of the system of linear equations is (x, y, z) = (2, 5, 3).
11) The average depth of the water is 0.35 kilometers.
12) The dollar value of the deposit after 10 years is $ 1205.85.
13) Three horses need a consumption of 930 pounds of hay for the month of July.
14) The circle with equation x² + y² + 8 · y + 8 · y + 28 = 0 has a radius of 2.
15) Anna has a mean time of 7.39 minutes.
How to analyze algebraic equations
In this question we must analyze and resolve on algebraic equations such as linear equations or conic sections. 6) We must use algebra properties to solve on the system of linear equations. First, we clear x in the first equation:
x = y - z
Then, we apply it in the two remaining equations:
- 5 · (y - z) + 3 · y - 2 · z = - 1
2 · (y - z) - y + 4 · z = 11
- 2 · y + 3 · z = - 1
y + 2 · z = 11
Second, we clear y in the second expression and we substitute into the first expression:
y = 11 - 2 · z
- 2 · (11 - 2 · z) + 3 · z = -1
- 22 + 7 · z = - 1
z = 3
y = 5
x = 2
The solution of the system of linear equations is (x, y, z) = (2, 5, 3).
11) There is a function of the speed of a tsunami in terms of the average depth of the water. The former variable is known and we need to clear d in the formula to find the missing value:
145 = 356 · √d
d = (145 / 356)²
d = 0.345 km
The average depth of the water is 0.35 kilometers.
12) The compound interest model is shown below:
C' = C · (1 + r / 100)ˣ (1)
Where:
C' - Initial capitalC - Current capitalr - Interest ratex - Number of periodsIf we know that C = 500, r = 4.5 and x = 20, then the resulting capital after 10 years is:
C' = 500 · (1 + 4.5 / 100)²⁰
C' = 1205.85
The dollar value of the deposit after 10 years is $ 1205.85.
13) The situations indicates a direct variation as the amount of hay is directly proportional to the number of days. Hence, we have the following linear model for the hay consumption of one horse:
y = m · x (2)
y = 10 · x
Where:
m - Hay consumption rate, in pounds per day.x - Time, in days.y - Consumed hay, in pounds.The total consumption of three horses during July is equal to the product of the number of horses and consumed hay by one horse during one month:
y' = 3 · [10 · (31)]
y' = 930
Three horses need a consumption of 930 pounds of hay for the month of July.
14) There is the general equation of the circumference and we must transform it into its vertex form to find information about the radius. This can done by algebraic procedures:
x² + y² + 8 · y + 8 · y + 28 = 0
(x² + 8 · y) + (y² + 8 · y) = - 28
(x² + 8 · y + 16) + (y² + 8 · y + 16) = 4
(x + 4)² + (y + 4)² = 2²
The circle with equation x² + y² + 8 · y + 8 · y + 28 = 0 has a radius of 2.
15) We need to sum all the times described in the table and divide it by the number of data to find the mean time for a 1-kilometer race:
x = (7.25 + 7.40 + 7.20 + 7.10 + 8.00 + 8.10 + 6.75 + 7.35 + 7.25 + 7.45) / 10
x = 7.39
Anna has a mean time of 7.39 minutes.
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Related Questions
Evaluate the expression using a calculator:
Answers
The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
What are the exponent and power rules?The important exponent and power rules are:
a⁻ⁿ = 1/aⁿ; negative exponent(ab)ⁿ = aⁿ × bⁿ; power of a product ruleaⁿ × aˣ = aⁿ⁺ˣ; multiplication ruleaⁿ/aˣ = aⁿ⁻ˣ; division rule[tex]a^{\frac{x}{y} } = \sqrt[y]{a^x}[/tex]; fractional exponentCalculation:The given expression is [tex]126^{-3/4}[/tex]
Using calculator: [tex]126^{-3/4}[/tex] = 0.0265
Applying the exponent rule for evaluating the given expression:
[tex]126^{-3/4}[/tex]
Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ [tex]126^{-3/4}=\frac{1}{126^{3/4}}[/tex]
Applying fractional exponent rule;
I.e., [tex]a^{\frac{x}{y} } = \sqrt[y]{a^x}[/tex]
⇒ [tex]\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }[/tex]
⇒ 1/[tex]\sqrt[4]{2000376}[/tex]
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
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Rewrite 2X = 128 as a logarithmic equation.
Olog,128=2
log2x = 128
log2128 = x
log128x = 2
Answers
The equation 2^x = 128 as a logarithmic equation is log₂(128) = x
How to rewrite the equation as a logarithmic equation?The equation is given as:
2^x = 128
Take the logarithm of both sides
log(2^x) = log(128)
Rewrite as:
x * log(2) = log(128)
Divide both sides of the equation by log(2)
x = log(128)/log(2)
Apply the change of base rule
x = log₂(128)
Hence, the equation 2^x = 128 as a logarithmic equation is log₂(128) = x
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What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?
A (–4, –3) and (–2, 1)
B (–4, –3) and (2, 1)
C (–4, 5) and (2, 1)
D (–4, 5) and (–2, 1)
Answers
y = -(x+2)^2+1
-3 = -(-4+2)^2+1
-3 = -(-2)^2+1
-3 = -4 +1
-3 = -3
y = -(x+2)^2+1
1 = -(-2+2)^2+1
1 = 0^2+1
1 = 1
y = 2x+5
-3 = 2(-4)+5
-3 = -8+5
-3=-3
y = 2x+5
1 = 2(-2) + 5
1 = -4+5
1=1
The safety triangle tries to predict safety performance. group of answer choices true false
Answers
TRUE
The safety triangle tries to predict safety performance.
The accident triangle, also known as Heinrich's triangle or bird's triangle, is a theory of occupational injury prevention. Indicates the relationship between serious accidents, minor accidents, and near misses. The idea is that the fewer minor accidents, the fewer serious accidents.
The process safety triangle is used to illustrate the different actions that can lead to an accident. This tool has a bottom up flow where each layer can be thought of as a preventative measure to the layer above it.
One of the main purposes of the process safety triangle is to explain how unsafe actions can lead to serious accidents. The Process Safety Triangle is also used to visualize different layers of protection and redesign systems to ensure better preventive practices. The lowest level of unsafe actions is categorized as the primary metric. A leading indicator is a preventive action taken to prevent an incident from occurring. Dangerous behavior by employees. B. Not wearing personal protective equipment or missing a system layer of protection is a major cause of process safety incidents. The wider the base of the process safety triangle, the wider the top level. This triangle shows that the more unsafe your actions are, the more likely you are to die in a process safety incident.
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Vectors u and v are shown in the graph. What is -3(u•v)?
Answers
[tex]\mathbf{u} =\langle -6, -10 \rangle \\ \\ \mathbf{v}=\langle 7,8 \rangle \\ \\ \mathbf{u} \cdot \mathbf{v}=(-6)(7)+(-10)(8)=-122 \\ \\ \therefore -3(\mathbf{u} \cdot \mathbf{v})=-3(-122)=\boxed{366}[/tex]
The value of -3(u•v) is 366 when vector u= -6i - 10j and vector v=-6i - 10j is given.
What is dot product ?The dot product of two vectors is the sum of the products of their corresponding components.
Here, u= -6i - 10j, from the figure as u goes 6 coordinate left to the y axis and and 10 coordinates below the x axis.
v= 7i + 8j, from the figure as v corrdinates right to the y axis and 8 coordinats upwards to the x axis.
Therefore u.v= (-6i - 10j).(7i + 8j)
= -42 - 80
= -122
So, -3(u.v)= (-3)×(-122)
=366
Hence, the value of -3(u•v) is 366
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dilate the line segment by a scale factor of 2 with a center of dilation at the origin. Draw the dilated segment on the provided graph.
Answers
Answer:
See attached
Step-by-step explanation:
Each point on the line segment moves to 2 times its previous distance from the origin.
Invariant pointThe center of dilation, the origin, is an invariant point. It doesn't move for any dilation factor. One end of the line segment is there, so it will not move.
Dilated pointsThe coordinates of each point are multiplied by the dilation factor. The other end of the line segment is (5, 5), so it moves to 2×(5, 5) = (10, 10).
The dilated line segment extends from (0, 0) to (10, 10). It is shown in red in the attached graph.
I really need help with this!! I’ll give brainliest to who ever answers!!
Answers
Answer:
a. triangle DEF's lines are all 3 times more than triangle ABC
b. triangle DEF's lines are all 3 times more than triangle ABC
c. 2.5 times 2 = 5
I hope u can elaborate a bit more :)
The first and second steps to solve the equation StartFraction 3 x over 5 EndFraction + 5 = 20 are shown below. StartFraction 3 x over 5 EndFraction + 5 minus 5 = 20 minus 5 StartFraction 3 x over 5 EndFraction (Five-thirds) = 15 (five-thirds) Which property was applied in the second step?
Answers
The multiplication property of equality has been used in the second step when both sides of the equation have been multiplied by 5/3.
State the Multiplication Property of Equality:
The Multiplication Property of Equality states that multiplying both sides of the equation with the same number, expression, or variable, the equation remains unchanged, i.e. equality is maintained.
Use of Multiplication Property of Equality in the Second Step:
The given equation was,
3x/5 + 5 = 20
In the first step, subtraction property of equality is applied as follows,
3x/5 + 5 - 5 = 20 - 5
3x/5 = 15
Now, for isolating x on the left hand side, we must apply multiplication property of equality by multiplying both sides of the equation by 5/3.
We get,
3x/5 × 5/3 = 15 × 5/3
x = 25
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Select the correct answer from each drop-down menu.
Since AC, MN, and DB intersect at O,
( A. Transitive property of congruence.)
( B. Linear pair postulate.)
( C. Congruent supplements theorem.)
( D. Vertical angles theorem.)
It is given that
( A. Linear pair postulate.)
( B. Vertical angles theorem.)
( C. Transitive property of congruence.)
( D. Congruent supplements theorem.).
Answers
The paragraph looks like:
Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.
In the question, we are asked to convert the given proof to the paragraph format, where the proof is already given to us.
The proof given to us is:
Statements________________________Reasons
1. AC, MN, and DB intersect at O.______1. given
2. ∠AOM ≅ ∠NOC__________________2. vertical angles theorem.
3. ∠MOD ≅ ∠BON__________________3. vertical angles theorem.
4. ∠BON ≅ ∠NOC__________________4. given.
5. ∠AOM ≅ ∠MOD_________________5. transitive property of congruence.
To convert this proof to the paragraph format, we need to translate each statement along with its reason in the paragraph.
Thus, the paragraph looks like:
Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.
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Which number is a rational number?
A. sqrt{15
B. 2.6457513110
C. 17.156
D. sqrt[3]{85}
Answers
From the given options, the rational numbers is:
17.156 = 17,156/100
Which is the one in option C.
Which of the given numbers is a rational number?
A rational number is a number that can be written as the quotient of two integer numbers.
When written in decimal form, a rational number has a finite number of digits after the decimal point. Now, for the given options we have:
A: √15
B: 2.6457513110...
C: 17.156
D: √3/85
Now, the square root of a number that is no square, is always an irrational number, so we can discard these two, and also we can see that the number in option B has infinite digits after the decimal point, so we also discard that one.
Now, if we look at the remaining option, which is:
17.156
We can multiply it and divide it by 100 to get:
(100/100)*17.156 = 17156/100
So the number can be written as the quotient of two integers, which means that it is a rational number.
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How many solutions can be found for the equation 12x 8 = 12x 8? zero one two infinitely many
Answers
Answer:
Infinite
Step-by-step explanation:
12x 8 = 12x 8
Infinitely many solutions, as left side = right side.
(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
three vertices with integer coordinates. Show your work by providing an example and
including a graph. Consider an equilateral triangle whose base lies along the x-axis.
Answers
Answer:
√3 is irrational
Step-by-step explanation:
The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.
Location of point CWith reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC never passes through a point with integer coordinates. (Any point with integer coordinates would be on a line with rational slope.)
Equilateral triangleThe line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.
The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...
[tex]\left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right][/tex]
Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...
cos(60°)·x + sin(60°)·y
will be irrational.
As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.
PLEASE HELP IM STUCK
Answers
The completed equations are:
2x + 3y = 80 equation 1
x + y = 37 equation 2
What are the completed equations?
In order to determine the number of each type of shots made, two equations would be derived based on the information provided in the question. These equations would be solved simultaneously in order to determine the required values.
[(type of basket made)x ]+ [(type of baskets made)y] = total number of points
2x + 3y = 80
x + y = total number of baskets
x + y = 37
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work out the value of x
Answers
Answer:
x = 36
Step-by-step explanation:
The two lines are parallel and intersected by a transversal line.
The co-interior angles formed will sum up to 180°
Here angles 3x and 2x are the co-interior angles
So 3x + 2x = 180
5x = 180
x = 180/5 = 36
Answer:
x = 18°Step-by-step explanation:
2x + 2x + 3x + 3x = 180°
10x = 180°
x = 180° : 10 =
x = 18°
-----------------------
check
2 × 18 + 2 × 18 + 3 × 18 + 3 × 18 = 180°
the answer is good
The likelihood of the frequency of an event in repeated trials under similar conditions is?
Answers
The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.
What is Statistical analysis?The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
What accomplishes statistical analysis?Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.
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Evaluate, leave ur answer in index form. 2³ × 2^-1
Answers
Multiply = add powers
3 + - 1 = 2
- - means +
+ + means +
- + means -
Thus, answer is 2^2
Hope this helps!
An isosceles triangle has a perimeter (9y-15)cm. what is the length of the remaining equal sides of it's third side is (3y-7) cm.
Answers
The length of each of the equal sides is become x = (3y-4) cm
According to the statement
we have given that the perimeter of the isosceles triangle and length of third side. and we have to find the length of same side of triangle.
So,
An isosceles triangle is a triangle that has two sides of equal length.
Let the equal sides of isosceles triangle be x cm each.
We know that the
Sum of sides of a triangle = perimeter
x+x+(3y-7) = 9y-15
2x = 9y-3y-15+7
After solving the equation it become
2x= 6y-8
x=(6y-8)/2
Now the length of equal sides is x=3y-4
So, The length of each of the equal sides is become x = (3y-4) cm
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Show why x - 3 is a factor of m(x) = x³ x² - 5x - 3.
Answers
Answer:
If m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.
Step-by-step explanation:
By the Factor Theorem if (x - a) is a factor of f(x) then f(a) = 0.
m(x) = x^3 - x^2 - 5x - 3
m(3) = 27 - 9 - 15 - 3 = 0
- so x - 3 is a factor
____________ 15. What is m∠A? Select all that apply.
Answers
The angle m∠A can be represented as follows:
m∠A = 47°m∠A = 164 - 70 / 2How to find the angle in a circle?The above circle, a secant and a tangent intersect outside the circle.
A secant is a straight line that intersects a circle in two points.
A tangent is a line that never enters the circle's interior.
Therefore, when a secant and a tangent intersect, the following rules applies:
m∠A = 1 / 2 (BD - BC)
m∠A = 1 / 2 (164 - 70)
m∠A = 1 / 2 (94)
m∠A = 47 degrees.
Therefore, the angle m∠A can be represented as follows:
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Solve question in image (yr 8 math, 40 pt)
Answers
Answer:
y = 3
Step-by-step explanation:
(5y - 3)/4 + 6 = 3y
5y - 3 + 24 = 12y
7y = 21
y = 3
Check.
(5*3 - 3)/4 + 6 = 3*3
(15 - 3)/4 + 6 = 9
12/4 + 6 = 9
3 + 6 = 9
9 = 9
Answer: y = 3
Step-by-step explanation:
Given equation
[tex]\frac{5y~-~3}{4} ~+~6~=~3y[/tex]
Multiply 4 on both sides (to eliminate fraction)
[tex]\frac{5y~-~3}{4} *4~+~6*4~=~3y*4[/tex]
[tex](5y~-~3)~+~24~=~12y[/tex]
Expand parenthesis and combine like terms
[tex]5y~-~3~+~24~=~12y[/tex]
[tex]5y~+~21~=~12y[/tex]
Subtract 5y on both sides
[tex]5y~+~21~-~5y~=~12y~-~5y[/tex]
[tex]21~=~7y[/tex]
Divide 7 on both sides
[tex]21~/~7~=~7y~/~7[/tex]
[tex]\Large\boxed{y=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The table shows some values of a function of the form y
= ax² + bx + c.
V
4
21
5
32
6
45
7
60
8
77
Answers
The value of c, the constant of the function y = ax² + bx + c, exists -3.
What is an equation?An equation exists as an expression that indicates the relationship between two or more numbers and variables.
Given that: y = ax² + bx + c
At point (4, 21)
21 = a(4²) + 4b + c .......(1)
At point (5, 32)
32 = a(5²) + 5b + c .........(2)
At points (6, 45)
45 = a(6²) + 6b + c .......(3)
Therefore, the value of a = 1, b = 2 and c = -3.
The value of c, the constant of the function y = ax² + bx + c, exists -3.
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calculate the slope of the line in the graphs and show your work
calculate the slope of a line that passes through (1,4) and (5,8)
Answers
Answer:
7.a) 5
7.b) 1/2
8. 1
Step-by-step explanation:
7.
a)
Read the points on the graph (0, 0) and (1, 5).
slope = (5 - 0)/(1 - 0) = 5/1 = 5
b)
read the points on the graph (0, 0) and (4, 2).
slope = (2 - 0)/(4 - 0) = 2/4 = 1/2
8.
Points (1, 4) and (5, 8)
slope = (8 - 4)/(5 - 1) = 4/4 = 1
Choose the correct discount or markup. if an item has a retail price = $995 and a discount of 15%, how much is the discount? it is $ .
Answers
Answer:
$149.25
Step-by-step explanation:
The discount is 15% of $995
Find the Discount[tex]15\%\times995[/tex]
Note that percentages can also be written as that number over 100.
[tex]\frac{15}{100}\times995[/tex]
Simplify the fraction
[tex]\frac{3}{20}\times995=\frac{2985}{20}=149.25[/tex]
Therefore the discount is $149.25.
Answer:
$149.25
Step-by-step explanation:
HL=
Help me asap!! Thanks so much I appreciate it :)
Answers
The value of length HL is 8.
How to find HL when two secant intersect outside a circle?A secant is a line that intersects a circle in exactly two points
When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.
Therefore,
(EF + FL)FL = HL(GH + HL)
(10 + 14)10 = (HL + 30 - HL)HL
240 = 30(HL)
divide both sides by 30
Hence,
240 / 30 = 30HL / 30
8 = HL
Therefore,
HL = 8
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An object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground. Use the vertical motion model h = - 16t² + vt + c where h is the ending height of the object, c is the initial height, in feet, of the object, t is the time in seconds, and v is the velocity of the object. How long will it take the object to reach the maximum height and what is the maximum height? Fill in the blanks with the appropriate values.
Answers
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&96\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&160\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+96t+160[/tex]
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+96}x\stackrel{\stackrel{c}{\downarrow }}{+160} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 96}{2(-16)}~~~~ ,~~~~ 160-\cfrac{ (96)^2}{4(-16)}\right) \implies \left( - \cfrac{ 96 }{ -32 }~~,~~160 - \cfrac{ 9216 }{ -64 } \right)[/tex]
[tex](3~~,~~160 + 144)\implies \underset{~\hfill feet}{\stackrel{seconds~\hfill }{(\stackrel{\downarrow }{3}~~,~~\underset{\uparrow }{304})}}[/tex]
Express 324000000 in scientific natation
Answers
3.24x10^8
Answer:
[tex]3.24*10^8[/tex]
Step-by-step explanation:
First, it is even so you don't need a negative power. Secondly, you put the decimal point after the first number which is three, and the next numbers which are not zeros go after it. Then you count the two numbers behind the decimal and the rest of the zeros. Then the number you get is the power of 10. And then just multiply and check your answer. :)
A mathematical prodigy wishes to put 2 of his indistinguishable IMO gold medals and 2 of his indistinguishable IPhO gold medals in one row. How many distinct arrangements are possible
Answers
This relates to combination and permutations and the number of distinct arrangements that are possible will be 6.
How to illustrate the information?From the information, a mathematical prodigy wishes to put 2 of his indistinguishable IMO gold medals and 2 of his indistinguishable IPhO gold medals in one row.
Let 1 = IMO
Let 0 = IPho.
Therefore, the number of arrangement will be:
0011
0110
1100
1010
0101
1001
Therefore, the number of arrangement will be 6.
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I need help answering this!
Answers
Measurement refers to a process through which the dimensions, size (weight), or other physical quantities of magnitude that are associated with an object or land is taken, especially for use in a scientific research and experiment such as direct comparison.
From the odometer on Missy's car, we have the following information:
Initial reading = 23,678 miles.
Final reading = 25,127 miles.
Trip = Final reading - Initial reading
Trip = 25,127 - 23,678
Trip = 1,449 miles.
How to solve Part B?Lubrication mileage = 16,000 kilometers.
Total mileage = 68,000 kilometers.
Lubrication time = Total mileage/Lubrication mileage
Lubrication time = 68,000/16,000
Lubrication time = 4.25 ≈ 4.
Next Lubrication time = (16,000 × 0.25) + 68,000
Next Lubrication time = 16,000 - (16,000 × 0.25) + 68,000
Next Lubrication time = 80,000 kilometers.
How to solve Part B?Rate = $29 per mile
Speed limit = 35 mph
Missy's car speed = 43 mph
Difference = 43 - 35
Difference = 8 mph.
Ticket = 29 × 8
Ticket = $232.
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Select the correct answer.
A survey was given to randomly selected employees who drive to work. Each employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year. The results are in the table. Which conclusion can be made from the data?
Answers
The conclusion that can be made from the data is that the probability illustrates that the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, the survey was given to randomly selected employees who drive to work and eagh employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year.
Therefore, the conclusion is that the the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
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Answer: B: The probability of an employee receiving a speeding ticket given that they regularly leave for work early or on time is less than the probability of an employee not receiving a speeding ticket given that they regularly leave for work late.
Step-by-step explanation:
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guys pls make it fast [tex]3^{3x-2\\} =\sqrt[3]{9}[/tex]
Answers
Explanation
3^3x-2=3^2/3
3x-2=2/3
3x=2/3+2
3x=8/3
x=8/9