Use the two-way frequency table to calculate the probability that the person is a democrat, given theact that the person supports the issue, P(democrat | supports the issue).P(democrat | supports the issue) =(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answers
In order to calculate the probability of P(democrat | supports the issue), we can use the following formula for conditional probability:
[tex]\begin{gathered} P(A|B)=\frac{P(A\cap B)}{P(B)} \\ P(democrat|supportstheissue)=\frac{P(democrat\cap supportstheissue)}{P(supportstheissue)} \end{gathered}[/tex]In the right side of the equation, instead of using the probability, we can use the value in the frequency table.
So we have:
[tex]P(democrat|supportstheissue)=\frac{24}{58}=\frac{12}{29}=0.41[/tex]Related Questions
WILL GIVE BRAINLIEST TO FIRST ANSWER
Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $13.00
5 $17.50
7 $21.50
10 $25.00
15 $32.50
What does the y-intercept mean in this situation?
For every additional mile the cab travels, the total fee increases by $10.00.
For every additional mile the cab travels, the total fee increases by $1.50.
When the cab travels 0 miles, the total fee will be $1.50.
When the cab travels 0 miles, the total fee will be $10.00.
Answers
The y-intercept of the total fee paid by Tyrell on his trip to Chicago when the cab travels 0 miles, the total fee will be $10.00.
What is the y-intercept?The total fee paid by Tyrell is made up of a fixed cost and a variable cost. The fixed fee is the fee that is incurred regardless of the miles travelled. The variable fee is the fee that changes with the distance travelled.
The total fee paid can be modelled as a linear function. A linear function is a single variable that is raised to the power of one.
Total fee = fixed fee + variable fee
Variable fee = (change in total fee ) / (change in total miles)
(17.50 - 13) / (5 - 2)
4.50 / 3 = 1.50
Fixed fee = $13 - (1.50 x 2)
$13 - 3 = $10
The fixed fee, $10 is equivalent to the y-intercept.
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Answer:
its a- For every additional mile the cab travels, the total fee increases by $10.00.
Step-by-step explanation:
hope this helps
The displacement of a particle from a reference point at any instant is given by s = 3 t 2 - 4 t + 5 , where s is in metres and t is time in seconds. calculate the average velocity of the particle in the time interval between 3 s and 5 s, and its instantaneous velocity at 4 s.
Answers
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t
Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
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Solve: -2 < 5 - 2x < 2
can be written in the form A < x < B
where A= and B =
Round 3 decimal places if necessary
Answers
Answer:
-2 < 5 - 2x < 2
-7 < - 2x < -3
7/2 > x > 3/2
3.5 > x > 1.5
1.5 < x < 3.5
A right triangle has vertices P(-2,5), Q(5,2) and R(8,9). Whatare the coordinates of the midpoint of the hypotenuse?
Answers
Answer:
D. (3, 7)
Explanation:
First, we need to draw the triangle to identify the hypotenuse, so using the points P(-2, 5), Q(5, 2), and R(8, 9), we get:
Therefore, the hypotenuse is side PR.
Then, the midpoint of a segment that goes from (x1, y1) to (x2, y2) is
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]So, replacing (x1, y1) = P(-2, 5) and (x2, y2) = R(8, 9), we get that the midpoint of the hypotenuse is
[tex](\frac{-2+8}{2},\frac{5+9}{2})=(\frac{6}{2},\frac{14}{2})=(3,7)[/tex]Therefore, the answer is D. (3, 7)
Learning Log9-11-20Provide a complete written response to the prompts. You must include any graphs or sketchesthat apply1. Explain how the points of intersection of graphs of functions can be determined (orverified) using the multiple representations of a system of equations. Provide examples anda sketch.I
Answers
Previous concepts
We need to take in count that the intersection or the values of x that satisfy a system equations represent the solutions.
We have 3 possible cases when we have a system of equations:
1) One Solution
2) No solutions
3) Infinite solutions
Also we know that if we have one or more solutions then the system would be consistent otherwise would be inconsistent.
Solution
Let's analyze the situation with examples.
1) Case 1: One solution.
We have the following system of equations :
[tex]y=3x+2,y=-2x+1[/tex]We can graph both equations and we can see this:
And as we can see we have an intersection point (-0.2, 1.4) with just one solution for this case.
2) Case 2: No solutions
We have the following system of equations : y = 3x + 2, y = 3x + 1
Find the kissing side round your answer to the nearest tenth
Answers
Answer:
x = 8.9
Explanation:
The sine ratio for 43 degrees gives
[tex]\sin 43^o=\text{opposite/hypotenuse}[/tex]Now, the side opposite to the 43 degree angle is x
Which of the graphs on the right is the graph of C?
Answers
The graph on the right which is a graph of C is Option D. See the explanation below.
What is a graph?A graph is a graphic (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the change of one variable in comparison to another.
What is the explanation for the above?
Note that the graph is calibrated at 25 per unit. Hence where x = 0, given the equation C(0) = 0.25x + 75
We have:
0.23 (0) + 75
Hence
C = 75
Tracing this back to the graph, by inference we see that the graph that depicts x as being on the x-axis with y on 75 is option D.
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help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
a. The linear equation that models the price-sales relationship is: y = -500x + 5000
b. daily sales: $1,250.
How to Write a Linear Equation that Models a Relation?To write the linear equation for a relationship, find the unit rate/slope (m) and the starting value/y-intercept, then substitute the values into y = mx + b.
a. Using two points from the problem, (6, 2000) and (8, 1000), find the unit rate (m):
Unit rate (m) = change in y / change in x = (2000 - 1000)/(6 - 8)
Unit rate (m) = 1000/-2
Unit rate (m) = -500
Find the y-intercept (b) by substituting m = -500 and (x, y) = (6, 2000) into y = mx + b:
2000 = -500(6) + b
2000 = -3000 + b
2000 + 3000 = -3000 + b + 3000
5000 = b
b = 5000
To write the linear equation, substitute m = -500 and b = 5000 into y = mx + b:
y = -500x + 5000
b. Substitute x = 7.5 into y = -500x + 5000:
y = -500(7.5) + 5000
y = -3750 + 5000
y = 1,250
The daily sales would be $1,250.
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3.) A prism with a volume of 270 m³ is dilated by a factor of 3.What is the volume of the dilated prism?4.) A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54.What is the volume of the dilated prism?5.) A prism with a volume of 3125 ft³ is scaled down to a volume of 200 ft³.What is the scale factor?
Answers
3) In general, a dilation is an enlargement of the sides of a shape, even if it is a 3D shape.
Furthermore, the volume of a prism is given by the formula
[tex]V=A_{\text{base}}\cdot h=l\cdot w\cdot h[/tex]Then,
[tex]V_{\text{new}}=3l\cdot3w\cdot3w=3^3(l\cdot w\cdot h)=27V_{initial}[/tex]Therefore,
[tex]\Rightarrow V_{\text{new}}=27\cdot(270)=7290[/tex]The answer to part 3) is 7290 m^3
4) Due to similar reasoning, in general, the area of a shape is given by
[tex]A=l\cdot w[/tex]If we apply a dilation to that area,
[tex]\Rightarrow A_{\text{new}}=kl\cdot kw=k^2A_{original}[/tex]Where k is the dilation factor.
Thus, in our case,
[tex]\begin{gathered} \Rightarrow A_{\text{new}}=(54)^2\cdot8=23328 \\ \text{and} \\ h_{\text{new}}=54\cdot6=324 \end{gathered}[/tex]Therefore,
[tex]\Rightarrow V_{\text{new}}=A_{\text{new}}\cdot h_{\text{new}}=23328\cdot324=7558272[/tex]The answer to part 4) is 7558272 cm^3
5) From the answer to question 3)
[tex]V_{\text{new}}=k^3\cdot V_{original}_{}[/tex]Thus,
[tex]\begin{gathered} \Rightarrow3125=k^3\cdot200 \\ \Rightarrow k^3=\frac{3125}{200}=\frac{125}{8} \\ \Rightarrow k=\frac{5}{2}=2.5 \\ \Rightarrow k=2.5 \end{gathered}[/tex]The answer to part 5) is 2.5
I need help please this is geometry
Answers
The correct options for the intersecting line EF are-
C) BC ≅ EFD) EB ≅ DFWhat is termed as the intersecting line?Lines that intersect or cross one another in a plane are known as intersecting lines. Non-intersecting lines, on the other hand, are formed when two or even more lines do not intersect at any point.The characteristics of intersecting lines are listed below to help us identify them quickly.Intersecting lines can only intersect at one point; they cannot intersect at more than a point.Intersecting lines intersect at any angle greater than 0° as well as less than 180°.For the given question;
Line EF intersects the lines AB and DC,
Where, AB = DC
Thus, from the given figure it is shown that;
BC ≅ EFEB ≅ DFThus, the statement true about the given diagram are found.
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What is 9^p / 9^5 = 9^3. What is the p in the equation?
Answers
The value of p is 8 by the law of exponents.
What is exponents?
The base b and the exponent, or power, n, are used in the mathematical operation known as exponentiation. Its symbol is Bn, and its pronunciation is "b to the n."
An exponent is the number of times a number has been multiplied by itself. For instance, the phrase 2 to the third, which is represented as 23, means 2 to the power 3, 2 x 2 x 2 = 8, not 23, and 2 x 3 = 6, respectively.
Remember that every number multiplied by one is equal to itself. Exponents are a technique of expressing extremely large numbers in terms of powers.
The number of times a number has been multiplied by itself is the exponent, so to speak.
Given that,
9^p/9^5 = 9^3
By laws of exponents and power,
Here, p - 5 = 3
p = 3 + 5
p = 8
The value of p is 8 by the law of exponents.
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Timed. Please help!!
Answers
Answer:
m<ABF = 34
m<FDC = 51
m<CFD = 92
Answer:
I am not sure about this.
Answer this you are a pro (try your best)
Answers
There are a specific quantity of $5 bills, and Brad has 6 boxes. In order to ensure that no two boxes contain the same amount of money, he wants to place his bills into some or all of the boxes. The least amount of money he needs to do $30 is within each box.
How do you tell whether an equation has an unlimited number of solutions?
Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 If you use a formula with infinite solutions to simplify the equation A set of two or more linear equations with two or more variables constitutes a system of linear equations.
If all the equations in the system are taken into account simultaneously, or if you use the approach where you obtain both sides equal, the system has an infinite solution.
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A ball is dropped from a height of 1600 meters. Each time the ban bouces, it reaches 3/4 of its original height. a) What are the first three terms of this sequence? b) Write an equation to represent this Sequence. c) Find the height of the ball after 4 bounces.
Answers
We know that
• The ball is dropped from 1600 meters high.
,• Each time it bounces 3/4 of its original height.
This situation creates a geometric sequence where the reason is 3/4. To find the first three terms of this sequence, we just have to multiply each term with 3/4. We know that the first term is 1600.
[tex]1600\cdot\frac{3}{4}=\frac{4800}{4}=1200[/tex]The second term is 1200 meters.
[tex]1200\cdot\frac{3}{4}=\frac{3600}{4}=900[/tex]The third term is 900.
To find an equation, we have to use the geometric sequence formula-
[tex]a_n=a_1\cdot r^{n-1}[/tex]Replacing the information we have the equation that represents the situation of this problem.
[tex]a_n=1600\cdot(\frac{3}{4})^{n-1}[/tex]At last, the height after 4 bounces is
[tex]900\cdot\frac{3}{4}=\frac{2700}{4}=675[/tex]The height of the third bounce is 675 meters.
[tex]675\cdot\frac{3}{4}=\frac{2025}{4}=506.25[/tex]Therefore, the height of the ball after 4 bounces is 506.25 meters.
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 12° = ____
Answers
Cos 12° expressed as an integer or as a decimal
[tex]\begin{gathered} \cos 12^0\text{ = 0.978} \\ \cos ^{}12^0\text{ = 0.99 (nearest hundredth)} \end{gathered}[/tex]Hence the value of cos 12° as a decimal to the nearest hundredth = 0.99
The table shows the results of a random survey of people about their favorite movie genres. if 350 people are asked about their favorite movie genres, how many people will prefer comedies? Enter your answer, rounded to the nearest whole number, in the box.
Answers
Answer:
38.26% prefer comedies
If 350 people are asked, 134 people will prefer comedies
Explanation:
First, we need to find the percentage of people that prefer comedy. Taking into account the table, 44 people prefer comedy from the 115 people in total.
So, the percentage of students that prefer comedy is calculated as
44/115 x 100% = 0.3826 x 100% = 38.26%
Then, if 350 are asked about their favorite movie genres, the number of people that will prefer comedies is equal to 350 people times the percentage calculated before, so
350 x 38.26% = 350 x 0.3826 = 133.9 = 134
Therefore, 134 people will prefer comedies.
the hotel room tax junction city is calculated using the function T(x) = 0.06x + 4.5, where x is the cost in dollars of the room and T(x) is the tax in dollars. What is the original price of the hotel room if the tax on the room was $11.70? I NEED HELP ASAP
Answers
T(x) = 0.06x + 4.5
We are meant to find 'x' when T(x) = $ 11.70
Substitute for T(x) = $ 11.70 in the given function
Thus,
11.70 = 0.06x + 4.5
11.70 -4.5 = 0.06x
7.2=0.06x
[tex]\begin{gathered} \frac{7.2}{0.06}=x \\ x=120 \end{gathered}[/tex]Hence, the original price of the hotel room if the tax on the room was $1170 is $120
Instructions: Find the missing side. Round your answer to the nearest tenth. stion 54° 29 х
Answers
Recalling the definition of the sine of an angle in a right triangle, we know that:
[tex]\sin (54)=\frac{x}{29}[/tex]Isolate x from this equation:
[tex]x=29\sin (54)[/tex]Use a calculator to find the numerical value of x:
[tex]x=23.46149284[/tex]Therefore, to the nearest tenth:
[tex]x=23.5[/tex]Which of the following is a result of shifting a circle with equation
(x-2)2 + (y - 3)2 = 25
to the left 2 units?
OA. The y-coordinate of the center of the circle decreases by 2.
OB. Both the x- and y-coordinates of the center of the circle decrease
by 2.
C. Both the x- and y-coordinates of the center of the circle increase
by 2.
D. The x-coordinate of the center of the circle decreases by 2.
Answers
The most appropriate choice of circle will be given by
x coordinate of the center decreases by 2
Fourth option is correct
What is circle?
Circle is a round two dimensional figure where all the points on the circle maintains a fixed distance from a point known as the center of the circle. The fixed distance of the point on the circle from the center of the circle is known as radius of the circle.
Equation of circle is (x - a)^2 + (y - b)^2 = r^2, where (a, b) is the center of the circle and r is the radius of the circle.
Here,
(x-2)^2 + (y - 3)^2 = 25
(x-2)^2 + (y - 3)^2 = 5^2
This is the equation of circle with center (2, 3) and radius 5 units
On shifting the circle 2 units to the left, the coordinate of center of circle changes to (0, 2)
That means x coordinate of the center decreases by 2
So fourth option is correct
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An elevator ascends at a rate of 29.6 feet per second. If a building is 1,450 feet tall,
about how long would it take for the elevator to travel from the ground floor to the roof?
OA. 0.49 minute
O B. 0.82 minute
OC. 4.9 minutes
OD. 8.2 minutes
Answers
Elevator will take 0.82 minute for travel from the ground floor to the roof. (Option B is correct).
rate by an elevator ascends = 29.6 feet per second
height of the building = 1,450 feet
Time to travel from the ground floor to the roof is calculated as :
we use rate formula.
i.e
rate = distance/ time
time = distance/rate
time = 1450/ (29.6 feet/sec )
time = 1450/29.6
= 48.98sec
as we know
60 second = 1mint
1 second = 1/60 minutes
therefore,
time = (48.98 / 60) minutes
time = 0.8163
time = 0.812 minutes
Elevator will take 0.82 minute for travel from the ground floor to the roof. (Option B is correct).
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I need help on a question involving graphing a sine function
Answers
Solution
[tex]y=sin\text{ x on the \lbrack0,2}\pi][/tex]10. Determine whether the question can be answered using permutations or combinations.Explain your choice then answer the question. (3 points each)a.On a sailboat there are 6 signal flags. The order the flags are strung on the mastdetermines the signal being sent. How many 3-flag signals can the captain send?b. You are taking an online geometry quiz in which 6 questions are randomly selected froma test bank of 50 questions. How many versions of the quiz are possible?
Answers
a.
The question can be answered using the permutations because the order of the flag strung on the mast determines the signal being sent.
Since there are 6 signal flags and the captain has to send a 3-signal flag. So, the number of signals that can be sent are:
[tex]\begin{gathered} _6P_3=\frac{6!}{\left(6-3\right)!} \\ =\frac{6\times5\times4\times3!{}}{3!} \\ =6\times5\times4 \\ =120 \end{gathered}[/tex]Thus, the answer is 120.
b.
The question can be answered using the combination because the questions are randomly selected.
Since the total number of questions is 50 and the number of questions that have to be selected is 50.
So, the number of versions of the quiz that are possible are:
[tex]\begin{gathered} _{50}C_6=\frac{50!}{\left(50-6\right)!6!} \\ =\frac{50\times49\times48\times47\times46\times45\times44!}{44!6!} \\ =\frac{50\times49\times48\times47\times46\times45}{6\times5\times4\times3\times2\times1} \\ =\frac{11441304000}{720} \\ =15890700 \end{gathered}[/tex]Thus, the answer is 15890700.
1
Jane bought a car for £24000
2 years later she sold it for £26000
Work out her percentage profit to 1
decimal place
Answers
Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.
Jane bought a car for £24000
she sold it for £26000
profit = 2000
profit percentage = 2000/26000 x100 = 7.7%
What is the Profit Percentage Formula?Profit is always calculated using the cost price. The following formula is used to calculate the percentage of profit earned from a specific sale:Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.When a product's selling and cost prices are known, the profit can be calculated using the formula Profit = Selling Price - Cost Price. Following that, the profit percentage formula is Profit percentage = (Profit/Cost Price) 100.Here,
Jane bought a car for £24000
she sold it for £26000
profit = 2000
profit percentage = 2000/26000 x100 = 7.69%
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Hi please help me thanks!
Answers
Answer:
Year Jessica Tom Who earns more?
1 $400 $400 They earn the same amount
2 $408 $400 Jessica earns more
3 $416 $400 Jessica earns more
Step-by-step explanation:
At simple interest, the amount of interest is the same each year
First year: Since compounding takes place only at the end of the year, both of them earn the same amount of interest
Interest earned = 20,000 x 0.02 = $400
Same for both boxes for first year
Both of their deposits will increase by $400 to $20,400
For second year
Jessica's interest is calculated on 20,400 = 20,400 x 0.02 = $408
Her deposit value at the end of year 2 = 20, 400 + 408 = $20,808
Tom's interest is calculated on the original deposit since it is simple interest. So in year 2, Tom still makes $400.
In year 2 Jessica earns more interest than Tom
Jessica: $408
Tom : $400
For third year, Jessica's interest is calculated on her deposit value of 20,800 = 20,800 x 0.02 = $416
Tom's interest for 3rd year is the same as for the previous years = $400
So in third year, Jessica earns more
gold watch
The original price of a gold watch was $500. The dealer sells this item for $620. What percentage did the dealer mark up from the original price?
The mark up percentage was %.
Answers
The percentage of the dealer markup from the original price will be; 1.24 %
What is the percentage of the total value?Suppose the value of which a thing is expressed in percentage is "a Suppose the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part into 100 parts; then we multiply it by b so that we collect b items per 100 items(that is exactly what b percent means).
Given that the original price of a gold, watch was $500. And the dealer sells this item for $620.
Then the percentage of the dealer markup from the original price will be;
The change = amount/ original x 100%
= 620/ 500 x 100%
= 1.24 x 100%
Therefore, The markup percentage was; 1.24 %.
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there is a $30 fee to rent a tool from the local hardware store plus $6 per day. if joe rents a jackhammer for 5 days, what is his total bill? The correct function for this situation is f (x) = 30x +6.
True or false?
Answers
The problem is false
Step-by-step explanation:
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Find the common ratio of the geometric sequence:3/16, 1/4, 1/3, ...
Answers
The common ratio, r = (1/4)/(3/16)
= (1/4)(16/3)
= 4/3
OR
(1/3)/(1/4) = (1/3)(4/1)
= 4/3
The common ratio of a geometric sequence is the ratio of any two consecutive terms.
Suppose we are given a geometric sequence: a1, a2, a3, ...
The common ratio is given as:
a2/a1 = a3/a2 = ...
Find the symmetric point of the given point (-2,-2) on a parabola with vertex (-3, 1).
Answers
The symmetric point on parabola is x = -3
What is symmetric point in parabola ?
The vertical line that passes through a parabola's vertex is the axis of symmetry, making the parabola's left and right sides symmetric. This line divides the graph of a quadratic equation into two mirror representations in order to make things simpler.
The vertex form of a parabola's (or a quadratic) equations is given by the following formula:
y = a(x - h)² + k , where (h, k) is the vertex and the axis of symmetry is given by the line x = h.
Where, vertex is given (h, k) = (-3, 1)
so the axis of symmetry is,
=> x = -3
Therefore, The symmetric point on parabola is x = -3
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Two dice are rolled. Determine the probability of the following. (Enter your probabilities as fractions.)(a) rolling an even sum _____(b) rolling a sum greater than 7 ______(c) rolling an even sum and a sum greater than 7 ______(d) rolling an even sum or a sum greater than 7 ______
Answers
First, we need to find the sample space for two dice. Since each dice has 6 faces, the sample space is
which consist in 36 elements.
Part A.
In this case, we need to find the combinations where the sum of the 2 dice is even. The combinations are:
for instance, in the upper left corner, the sum is 1+1=2, which is an even number and similarly for the other cases.
As we can note, there are 18 possible combinations. Then, the probability is
[tex]P(\text{ even sum)=}\frac{18}{36}=\frac{1}{2}[/tex]Part B.
In this case, we need to find the possible combinations where the sum of the 2 dices is greater than 7. The possible combinations are:
Since there are 15 possible combinations, the probability is given by
[tex]P(\text{ Sum greater than 7)=}\frac{15}{36}[/tex]Part C.
This case is the intersection of the two cases from above. The possible combinations are:
Since there are 9 possible combinations, the probability is
[tex]P(\text{Even sum and sum greater than 7)=}\frac{9}{36}=\frac{1}{4}[/tex]Part D.
We need to find the possible combinations where the sum is even or the sum is greater than 7. Then, this case is the union of case A and B. Then the possible combinations are:
Since there are 18+6=24 combinations, the probability is
[tex]P(\text{Even sum or sum greater than 7)=}\frac{24}{36}=\frac{4}{6}=\frac{2}{3}[/tex]Please refer to the picture and pleaseeeeeeeeeeeeeeeeeee just get to the answer :D
Answers
Given
-6 is less than x , 3 is greater than x
Find
Write the inequality
Explanation
-6 is less than x
this implies , -63 is greater than x
this implies , 3>x....................2
from 1 and 2 , we obtain
-6Final Answer
the inequality is - 6 < x < 3
