Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answers
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Related Questions
Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4
Answers
Answer:
A. 4
Step-by-step explanation:
4 is a positive number which is larger to 3 and bigger than negative numbers.
Answer:
Step-by-step explanation:
i\
i \
i \
i /
i /
Please help, been stuck on this for far too long and due in tmrw!
Answers
From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.
From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.
From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.
Given that,
In the picture we have a graph with 3 rectangles that is F, G, and H.
We have to find the translation of the rectangles.
We know that,
What is translation?The transformation, i.e., f: X X, is a function, f, that maps to itself. Following the transformation, the pre-image X changes into the image X. Any operation, including translation, rotation, reflection, and dilation, may be used to create this transformation. A function can be moved in one direction or another by translation, rotated around a point by rotation, reflected in its mirror image by reflection, and scaled by dilation.
So,
From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.
From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.
From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.
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construct a function that passes through the origin with a constant slope of 1 , with removable discontinuities at x
Answers
The required function is clearly passes through the origin and have a constant slope .
Also function have removable discontinuity at x=-5 and x=3.
Since we have given that a function passes through origin and having a constant slope 1 also the function have removable discontinuity at x = -5 and x = 3.
since we first define removable discontinuity.
this type of discontinuity can be removed by defining f in such a way that limₓ→ₐ = f(a)
here we have given that function have removable discontinuity at x = -5 and x=3 then if y = p(x)/q(x) be the required function, the denominator q(x) will be equal to product of (x-(-5) and (x-3)
that is:
q(x) = (x+5)(x-5)
hence we define a function y = f(x) with discontinuity x=-5 and x=3 is:
f(x) = 1/(x+5)(x+3)
now:
here limₓ→₋₅ f(x) does not exist also limₓ→₃ f(x) does not exist.
to make it removable discontinuity we multiplying the numerator of f(x) by the term (x+5)(x-3) then the new function will be:
f(x) = (x+5)(x-3)/(x+5)(x-3)
hence clearly
limₓ→₅f(x) =1 and limₓ→₃f(x)=`
but the function f(x) at x=-5 and c=3 is undefined.
thus function is: f(x) = (x+5)(x-3)/(x+5)(x-3) which has removable discontinuity at
x=-5 and x=3
hence the desired function is:
f(x) = x(x+5)(x-3)/(x+5)(x-3)
f(x) = x(x²+2x-15)/(x+5)(x-3)
f(x) = x³+2x²-15x//(x+5)(x-3)
this is the required function which clearly passes through the origin and have a constant slope .
Also function have removable discontinuity at x=-5 and x=3.
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Adding Rational Expressions
Simplify the following sum, and show all work please.
Answers
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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What fraction is shown on the number line?
Answers
Answer:
7/10
Step-by-step explanation:
Can u please help me with 3&4 I’m giving 20 point please help me
Answers
Answer:
Step-by-step explanation:
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Find the point on the y-axis that is 7 units from the point (−7, −5).
Answers
The point which is on the y-axis and is the y axis and is 7 units from the point (-7, -5) is;
What is the point on the y-axis that is 7 units from the point (−7, −5)?Since the point is on the y-axis, it follows that it's x-coordinate is zero and hence; the point is; (0, y).
The distance is therefore 7 units and hence;
7² = (-7-0)² + (y - (-5))²
49 -49 = (y +5)²
0 = y +5
y = -5
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Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
Answers
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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A number divided by eight minus thirteen is greater than negative six.
Answers
Answer:
(x/8) - 13 > -6
Step-by-step explanation:
If you want to take it further, add 13 to both sides to make it x/8 > 7. Then divide both sides by 8 to get x by itself. you are left with x > 7/8
Random tip to remember: when dividing by negatives, remember to switch the inequality signs (this is just for future reference)
Solve 1/2n x (n+1) =78
Answers
Answer:
n=-13, n=12
Step-by-step explanation:
Answer: n = 12, -13
We have to isolate the variable by dividing each side by factors that don't contain the variable.
what id the differance between 10 and 12?
Answers
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
at least I think it is
find the length of arc CE. Round to the nearest hundredth.
Answers
We go from degrees to radians:
\(122\degree=122\degree\cdot\frac{\pi}{180\degree}=\frac{61\pi}{90}\)Now, the length of arc CE is:
\(CE=m\measuredangle CDE\cdot CD\)Where CD = 6 units. Using the angle in radians:
\(CE=\frac{61\pi}{90}\cdot6=12.78\text{ units}\)Pls help answer fast rapidly is of khan academy:
Answers
Answer:
expanded: 7+0.08
standard: 7.08
Step-by-step explanation:
The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
Answers
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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A function includes ordered pairs (-2,0), (0,-1), (1,0), (3,8), and (5,24). Which point could not be apart of this function ?
Answers
Answer:
(0,-1)
Step-by-step explanation:
Hey guys, Im on this homework, and i dont know how to find this answer, its a 7th grade question, so if anyone can help, that will help a lot
Answers
Prime factorise 1950.
1950 = 2 × 5 × 5 × 3 × 13
Multiply the numbers 5 × 13...you'll get 65.
Now, multiply 2 × 5 × 3 = 30.
If you check,
65 × 30 = 1950.
Also, they have the digits 0, 3, 6 & 5 as asked in the question.
So, your required numbers are 65 & 30.
_______
Hope it helps!
RainbowSalt2222 ☔
Based on the histogram, can you determine exactly how many cars got 20 miles per gallon? Explain.
Answers
Answer:
No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg
Answer: 70 cars.
Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.
Teacher gives 2 questions to a class of 50 student. 30 students correctly answer ther first question, 25 students correctly answer the second question, 7 wongly answer both question, there are _ students correctly answer both question
Answers
Answer:
43
Step-by-step explanation:
only 7 out of the 50 got both wrong
Answer:
Step-by-step explanation:
Write the options so they are homogeneous in content. • Use answers given in previous open-ended exams to provide realistic distractors. 2. Use a Question ...
please graph! 90 points! And BRAINLIEST
Graph f(x)=3sin(12x)−5. Use 3.14 for π. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
Answers
The points on the graph are:
Midline point = (0,-5)Maximum point = (0.65,-2)(a) The graph of the functionThe equation of the function is given as:
\(f(x) = 3\sin(12x) - 5\)
See attachment for the graph of the function f(x)
(b) The midline pointThis is the point that is on the line that passes through the midsegment of the function.
From the graph, a point on the midline is (0,-5)
(c) The maximum pointThis is the point that is on the vertex of the function.
From the graph, a point on the midline is (5pi/24,-2)
This can be rewritten as: (0.65,-2)
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Answer:
(0,0) (1.75,3)
Step-by-step explanation:
Took the test
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
Answers
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Answers
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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What is the domain and range? Of f(x)1/4x+3?
Answers
The domain of the function f(x) = 1/4x + 3 is all real numbers except x = 0, since division by 0 is undefined.
The range of the function is all real numbers. For any real number x, f(x) = 1/4x + 3 will always produce a real number, so the range is (-infinity, +infinity).
The range of the function is all real numbers, because for any real number y, there exists a real number x such that y = 1/4x + 3.
So, the domain of f(x) = 1/4x + 3 is all real numbers except x = 0, and the range is all real numbers
There are 4 red and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace it. Mark draws a second blue marble out of the bag and does not replace it. What is the probability that the next marble he draws will also be blue?
Answers
Answer:
The chance of him pulling out another blue marble is 6/10 or 3/5
Step-by-step explanation:
The temperature outside changed from 76°F to 41°F over a period of five days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
35°F
B.
-35°F
C.
7°F
D.
-7°F
Answers
Explanation: 76-41=35 35/5=7
Answer:
C. 7°F
Step-by-step explanation:
The tree in Lisa’s backyard is 7.4 m high. How high is it in centimeters?
Answers
Answer:
740 cm
Step-by-step explanation:
Answer: 740 centimeters
Step-by-step explanation:
All you have to do is multiply the length value by 100 giving you 740.
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kenji is raising baby kittens. their weights after three weeks are 12 ounces, 14 ounces, 15 ounces, 15, ounces and 14 ounces, what is the mean weight of the kittens????
Answers
Answer: 14 ounces
Step-by-step explanation:
To find the mean, we add up all the values and divide by the number of values.
\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)
Create an exponential function that models this situation based on the time in secons in the video.
B(t)= __
Answers
Answer:
B(t) = 2*\(2^{t}\)Step-by-step explanation:
You have all correct choices.
We can use the given values and work out the equation:
B(t) = \(ab^{t}\)B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2The function for this situation is:
B(t) = 2*\(2^{t}\)Answer:
2(2)^t
Step-by-step explanation:
PLATO
Given that X:Y = 5:3, Y:Z = 5:7, then X:Y:Z = ???
Answers
The last ratio can be written as:
X:Y:Z = 25:15:21
How to find the last ratio?Here we have two ratios for 3 variables X, Y, and Z.
X:Y = 5:3
Y:Z = 5:7
And using these two, we want to find the ratio betwen the 3 variables, which is written as:
X:Y:Z
We can write the two ratios in such a way that Y has the same value in both, then we can multiply the first ratio by 3 and the second by 5.
X:Y = 25:15
Y:Z = 15:21
Now that Y has the same value in both cases, we can just group them in the following way.
X:Y:Z = 25:15:21
That is the ratio between the 3 variables.
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
Answers
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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