The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second position).
The size of the sample space is 4 options for the letter, 2 options for the first number, and 1 option for the second number, giving a total of 4x2x1=8 possible codes. To calculate the probability that a code has a letter that immediately follows an odd number, we first need to count the number of codes that meet this condition. There are two odd numbers to choose from (5 and 6), and two letters that can immediately follow an odd number (B and D). For each odd number, there is only one even number that can come before it, so there are 2x1x2=4 possible codes that meet this condition. Therefore, the probability that a randomly chosen code has a letter that immediately follows an odd number is 4/8, which simplifies to 1/2, or 0.5. To calculate the probability that D is in the code but is not in the first position, we need to count the number of codes that meet this condition. There are two places that D could appear (second or third), and three options for the first position (A, B, or C). Once the first position is chosen, there are two options for the remaining number (5 or 6). Therefore, there are 2x3x2=12 possible codes that meet this condition. The total number of possible codes is 8, so the probability that a randomly chosen code has D but not in the first position is 12/8, which simplifies to 3/2, or 1.5. However, probabilities must always be between 0 and 1, so this answer is not valid.
The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second
position). Of these 6 codes, 4 have D in the second position, and 2 have D in the third position. Therefore, the probability that a randomly chosen code has D but not in the first position is (4+2)/8, which simplifies to 2/3.
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What is the actual length which is represented by 3.2cm on a scale drawing with scale 1cm to 4cm
Answer: 12.8 cm
Step-by-step explanation:
Multiply 3.2 by the scale of 4 to get 12.8.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04, Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. P KQ 0 Oso X X a Р S 00 020
The null hypothesis H0 in this case would be that the standard deviation of the number of accidents per day is equal to 0.04, while the alternative hypothesis Ha would be that the standard deviation of the number of accidents per day is not equal to 0.04.
The null hypothesis represents the status quo or the default assumption, which is that there has been no change in the standard deviation of the number of accidents per day. The alternative hypothesis represents the claim made by the actuaries, which is that there has been a change in the standard deviation.
Mathematically, the null and alternative hypotheses can be expressed as follows:
H0: σ = 0.04
Ha: σ ≠ 0.04
where σ represents the standard deviation of the number of accidents per day.
The hypothesis test would be used to determine whether there is evidence to support the actuaries' claim that the standard deviation has changed, or whether there is not enough evidence to reject the null hypothesis that the standard deviation remains equal to 0.04.
From the picture, find the value of the pawn in each of the following problems, and write the check
Answer:
6) x = 6
7) x = 4
8) x = 4
9) x = 6
10) x = 6
Step-by-step explanation:
This is based on Dr. Henry Borenson's method of using pawns to explain algebraic equations. Frankl I find using variables more intuitive
Let each pawn represent an x in the equations
6.
x + 8 = 10 + 4
x = 10 + 4 - 8
x = 14 - 8 = 6
7.
x + x = 4 + x
2x = 4 + x
2x - x = 4
x = 4
8.
x + x + x + 2 = 7 + 7
3x + 2 = 14
3x = 14 - 2
3x = 12
x = 12/3
x = 4
9.
2x + 4 = x + 10
2x - x = 10 - 4
x = 6
10
3x = x + 10 + 2
3x = x + 12
3x - x = 12
2x = 12
x = 6
The entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group?.
The number of adults and children in the group were 64 and 36 respectively by using an algebraic equation.
It is given that the entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056.
Let the number of adults in the group = x
number of adults in the group = y
Total number of people paid an entry fee = 100
So the equation becomes : x + y = 100
or x = 100 - y
Cost for adult ticket = $12
Cost for child ticket = $8
Total entry fee paid = $1,056
Second equation = 12x + 8y = 1056
putting value of x from equation 1
12(100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
4y = 144
y = 36
x = 100 - 36 = 64
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Hercules crawled on fifth of a mile in a one tenth of an hour. find the rate in miles per hour
In linear equation, 2 miles per hour is the rate in miles per hour .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Divide the distance by the time.
(1/5 miles) / (1/10 hour)
= 10(1/5) miles per hour
= 2 miles per hour
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The monthly rents (in dollars) paid by 10 people are given below. (Note that these are already ordered from least to greatest.) 865, 970, 985, 1005, 1015, 1035, 1055, 1080, 1095, 1095 Send data to calculator Suppose that one of the people moves. Her rent changes from $1095 to $1045. Answer the following.
The new list of rents, ordered from least to greatest, would be 865, 970, 985, 1005, 1015, 1035, 1055, 1080, 1045, 1095. The median rent would also be changed from $1095 to $1045.
Z-score with the area of 0.0054if the area is halfway between two entry’s use the z score halfway between the corresponding z scores
A verbal description of a linear function g is given. Express the function g in the form
g(x) = ax + b.
The linear function g has rate of change −12 and initial value 100.
g(x) =
G is a linear function with a rate of change of -12 and an initial value of 100. Its equation is: g = -12x + 100.
What is a linear function?Straight lines make up the graph of linear functions. The following is the format of a linear function. y = f(x) = a + bx A linear function has a independent variable so one dependent variable.
What does the described linear function look like?As a result of the task's objectives, it is necessary to identify the linear expression that corresponds to the verbal description that has been provided.
Since f(x) = axe + b is the typical slope-intercept form of a linear function,
an is the slope (rate of change), and b is the y-intercept (initial value).
g = -12x + 100 is the necessary linear function, which is what has been presented.
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The median home value in Pennsylvania and Nevada (adjusted for inflation) are shown below.
Year Pennsylvania Nevada
1950 42400 53700
2000 97000 142000
If we assume that the house values are changing linearly,
a) In which state have home values increased at a higher rate?
Nevada
Correct
b) If these trends were to continue, what would be the median home value in Pennsylvania in 2010?
$
c) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd)
The year
According to the given statement Nevada's property prices have grown more rapidly , median home value 148,880 and median house values will be 15.6.
What does the median in housing mean?The selling price of the middle property in a list of properties listed by highest sale price through lowest over a predetermined time period is the median house price. Thus, if 71 homes were sold, the median home price would correspond to the sale price of the 36th home.
Rate of change for Pennsylvania [tex]= (97000 - 42400) / (2000 - 1950) = 1092[/tex]
Rate of change for Nevada [tex]= (142000 - 53700) / (2000 - 1950) = 1816[/tex]
As a result, Nevada's property prices have grown more rapidly.
b) Median home value of Pennsylvania in 2010[tex]= 42400 + 1092 * (2010 - 1950) = $148,880[/tex]
c) Pennsylvania[tex]= 42400 + 1092x[/tex]
Nevada[tex]= 53700 + 1816x[/tex]
[tex]42400 + 1092x = 53700 + 1816x\\724x = 11300\\x = 15.6[/tex]
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In an isosceles triangle, one angle is 24° greater than each of the other two equal angles.
Find the measure of all three angles.
The two smaller angles are each _____
The two smaller angles are 39 degrees each. The other angle is 106
How to solve for the anglesThe measure of the angles would be found using the formula
2*x + 24 = 180
This is because the sum of angles that are in a triangle is = 180
the two equal angles are x + x = 2x
the other angle is 24 greater than 2x
2x + 24 = 180
2x = 180 - 24
2x = 156
x = 78
eaxh of the two equal angles are 78 degrees
while the other angle is 78 + 24 = 106
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You randomly pull a marble from a bag of marbles. The bag has 2 red
marbles, 1 pink marble, 1 green marble, and 5 speckled marbles,
What is the probability of not drawing a green marble? Write your
answer as a decimal rounded to the nearest hundredth.
A
Answer:
0.89
Step-by-step explanation:
As there is 1 green marble out of 9 total marbles, there's a 1 in 9 chance of selecting the green marble. This means that its complement would be the probability of NOT selecting the green marble would be 8/9, or about 0.89
Answer:0.89
Step-by-step explanation:
Please help fast!! What is the domain of the relation?
Please explain the answer!
The domain of the relation include the following: C. {-5, -2, 0, 1, 4}.
How to determine of this relation?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain:
Domain = {-5, -2, 0, 1, 4}.
In conclusion, the domain of this relation are all the x-values (independent value) that are located on the x-axis of the graph, which include {-5, -2, 0, 1, 4}.
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Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.
3 1/5+n=9 which can be used to solve this equation
-17
ng
2
Zoom
Chapter 3: Probability (Add and Mult)
Score: 22.75/38 26/38 answered
Question 29
>
A bag contains 7 red marbles, 5 white marbles, and 6 blue marbles. You draw 3 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
a. The probability that all the marbles are red is calculated as follows:
(7 choose 3) / (18 choose 3) = (35 / (816)) = 0.0429
So, the probability that all the marbles are red is 0.0429, rounded to 4 decimal places.
b. The probability that none of the marbles are red is calculated as follows:
(12 choose 3) / (18 choose 3) = (220 / 816) = 0.2696
So, the probability that none of the marbles are red is 0.2696, rounded to 4 decimal places.
Consider a linear function where
F(-10)=64 and f(15)=54
Find the equation
The equation is f(x) = -0.4x + 60. The solution has been obtained by using slope - intercept form.
What is slope-intercept form?
The graph of the equation y = mx + b is a line with a slope of m and a y-intercept of b. The form of the linear equation is called the slope-intercept form, and the values of m and b are real integers.
We are given that f(-10) = 64 and f(15) = 54.
So, we get the points as (-10 , 64) and (15 , 54)
Using the slope intercept form, we get
Slope(m) = (54 - 64)/(15 + 10)
Slope(m) = -0.4
We know that y = mx + b
For calculating b. we will put in the values
⇒64 = -0.4(-10) + b
⇒64 = 4 + b
⇒b = 60
From this we get the equation as
f(x) = -0.4x + 60
Hence, the equation is f(x) = -0.4x + 60.
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Janelle has set up bird feeders around the pond behind her house. Each feeder can hold 1/2 a cup of bird food. After measuring, Janelle finds that she has 3 cups of bird food. How many feeders can she fill?
Answer: Janelle can fill 6 feeders.
Step-by-step explanation:
To find the number of feeders Janelle can fill, we need to divide the total amount of bird food she has by the amount of bird food each feeder can hold.
First, let's convert the total amount of bird food from cups to half-cups:
3 cups / 2 = 6 half-cups
So, Janelle has 6 half-cups of bird food, and each feeder can hold 1 half-cup.
Therefore, she can fill:
6 half-cups / 1 half-cup per feeder = 6 feeders.
So, Janelle can fill 6 feeders.
Find the circumference of a circle with a diameter of 8 inches
Answer:
B
Step-by-step explanation:
c=d*π
c=8*π
c=25.1 inches
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What is the volume 
The volume of the composite figure is 12 cubic in.
How to calculate the Volume of Composite Shapes?
Composite shapes have a volume that is made up of basic shapes. We can calculate the volume of the composite shapes using the steps listed below:
Step 1: Break down the compound shape into different components.
Step 2: Determine the volume of each basic shape.
Step 3: Combine the volumes of all the basic shapes.
Step 4: Write the solution in cubic units.
Firstly we can divide the figure into two rectangular prisms A and B. Then add these two to total volume the volumes of each prism.
The volume of prism A = length × width × height
V = 4 * 2 * 1
V = 8 cubic in.
The volume of prism B = length × width × height
V = 1 * 2 * 2
V = 4 cubic in.
Total volume = volume of prism A + volume of prism B
= 8 cubic in + 4 cubic in
= 12 cubic in
Hence, the volume of the composite figure is 12 cubic in.
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The inequalities 3x<1 and 6x<2 are equivalent inequalities. Write another inequality that is equivalent to 3x<1 and 6x<2.
One inequality that is equivalent to 3x<1 and 6x<2 is 3x<1/2.
To see why this is true, we can divide both sides of the second inequality by 2, which gives 3x<1/3. However, we want an inequality that is equivalent to both 3x<1 and 6x<2, so we need to find a common solution.
Notice that if 3x<1, then x<1/3. And if 6x<2, then x<1/3 as well (since 1/3 is less than 2/6). Therefore, the intersection of the solutions for these two inequalities is x<1/3.
But we want an inequality in the form of 3x<a, where a is some constant. To find this value, we need to solve for x in the intersection of the two solutions:
x<1/3
Multiplying both sides by 3 gives:
3x<1
So we can choose a=1/2, which gives us the final inequality:
3x<1/2
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2.63 divied by 0.5 standard way
Answer: 5.26
Step-by-step explanation:
Answer:
= 0.190
Solution:
Change the divisor 2.63 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
50 ÷ 263 = 0.190
and therefore:
0.5 ÷ 2.63 = 0.190
Both calculated to 3 decimal places.
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My question is in the picture below
Answer:
j1gru3hek3n
Step-by-step explanation:
bso2jw4usk8
2. Determine the area of each composite figure below.
Answer:
[tex]6\pi[/tex]
Step-by-step explanation:
There's two things to note here, we're dealing with a semi-circle and also a semi-circle that has some area taken out of it.
Area of a Circle:The area of a circle can be calculated using the formula: [tex]A=\pi r^2[/tex] where "r" is the radius, equal to half the diameter.
Since we're dealing with the semi-circles, we can just divide this area by two to get: [tex]A=\frac{\pi r^2}{2}[/tex]
Now as noted, we have some of the area taken out, but fortunately it's just another semi-circle. We can simply calculate the area of the entire semi-circle, and then calculate the area of the semi-circle inside and subtract them.
So the diameter of the entire thing is just 8 ft, so the radius is half of this, equal to 8 ft. That means the area is: [tex]A=\frac{\pi (4)^2}{2}=A = \frac{\pi * 16}{2} = 8\pi[/tex]
One mistake that may be made here, is assuming the radius of the smaller semi-circle is just two, as provided in the image. It's actually the radius of the inner semi-circle plus two which gives us the radius of the outer circle, of 4 feet. Now luckily in this case, it actually still results in 2 ft (since 2 + 2 = 4), but in other examples, that may noe be the case.
So now let's calculate the area of the inner semi-circle: [tex]A=\frac{\pi (2)^2}{2}=2\pi[/tex]
Now let's just subtract the areas: [tex]8\pi - 2\pi = 6\pi[/tex], so the area is 6 pi
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.
Answer:
the IQR is the best measure which equals 16
Step-by-step explanation:
the 2nd option is not correct because, while the range is 45, there are only two out of eleven data items above 45, which is not representative of the majority of the data
the 3rd option is incorrect because the IQR does not equal 45, it's 16
the 4th option is incorrect because the range does not equal 16, it's 45
Given right triangle ABC with altitude
BD drawn to hypotenuse AC. If
AC 36 and DC = 9, what is the length
of BC?
=
C
9
D
36
X
A
B
Can someone please helppp
The measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the right triangles; ∆ABC with hypotenuse = 45 and adjacent = BC, the triangle ∆ADC with hypotenuse = BC and adjacent = 9 with the angle C we can solve for BC as follows:
for ∆ABC;
cosC = 9/BC {adjacent/hypotenuse}
for ∆ADC;
cosC = BC/45 {adjacent/hypotenuse}
9/BC = BC/45
BC² = 9 × 45 {cross multiplication}
BC² = 405
BC = √405 {take square root of both sides}
BC = 20.1246
Therefore, the measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C
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in a recent survey of 500 people,it was found that 2800 read Concord and 2300 read guardian while 400 read both papers. How many read neither
300 people read neither of the papers.
How to find how many read neither?Set theory is a branch of mathematical logic that studies sets, which are collections of objects. It is a fundamental theory in mathematics and can be used as a foundation for all other areas of mathematics.
Total population n(ξ) = 5000
Number of people reading Concord, n(C) = 2800
Number of people reading Guardian, n(G) = 2300
Number of people reading both = n(C ∩ G)] = 400
Number of people reading any of the newspaper = n(C ∪ G)] = n(C) + n(G) - n(C ∩ G) = 2800 + 2300 - 400 = 4700.
Number of people reading none of them is equal to = Total population - Number of people reading any of the newspaper = 5000 - 4700 = 300
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If a graph of y=-9x + 11 were changed to a graph of y=-9x+14, how would the y-intercept change? OA. The y-intercept of the new graph would shift up 3 units. B. More information is needed to determine the change. C. The y-intercept would remain the same. D. The y-intercept of the new graph would shift down 3 units.
Answer:
Step-by-step explanation:
The y-intercept of a linear equation in slope-intercept form, y = mx + b, represents the point at which the line crosses the y-axis. In this form, "m" represents the slope of the line and "b" represents the y-intercept.
If we have a graph of y = -9x + 11, the y-intercept can be found by setting x equal to 0 and solving for y:
y = -9x + 11
y = -9 * 0 + 11
y = 11
So, the y-intercept of the original graph is (0, 11).
Now, if we have a graph of y = -9x + 14, the y-intercept can be found in the same way:
y = -9x + 14
y = -9 * 0 + 14
y = 14
So, the y-intercept of the new graph is (0, 14).
Comparing the y-intercepts of the two graphs, we can see that the y-intercept of the new graph has shifted up by 3 units, from (0, 11) to (0, 14).
Therefore, the correct answer is A: The y-intercept of the new graph would shift up 3 units.
Rowan was collecting seashells she collects 4 more than three times the number of seashells Maribel collects if Maribel collects X seashells select the expression of represents the number of seashells Rowan collects
Answer:
Rowan collects
3x + 4
Step-by-step explanation:
Maribel collects x sea shells.
Rowan collects 4 more (this is the +4)
than 3 times Maribels (this is the 3x)
Maribel = x
Rowan = 3x + 4
Answer:
its actually 4x + 3
Step-by-step explanation:
A chest has a length of 0.8 m, a width of 0.5 m
and a height of 0.6 m. What is the volume of the
chest?
help me pls and thank you :)
Explanation:
Spreadsheet software is strongly recommended. If you have excel, then it's best to use it since it's used practically everywhere. If you don't have excel, then there are tons of free alternatives such as OpenOffice or LibreOffice.
Enter the data as shown. Then form a third column labeled xy which represents multiplying each x and y pair for any given row. Eg: Tom = xy = 7*2 = 14. Use cell references to quickly compute this new column. I don't recommend manually multiplying each pair of items.
Once the xy column is formed, add up everything in it since [tex]\Sigma[/tex] represents summations. The command called "Sum" or "SUM" does this very quickly. In a cell off to the side type in [tex]=Sum(C2:C10)[/tex] which will add up the elements in cell C2, C3, ... all the way up to C10. Don't forget about the equal sign up front. That's needed to execute the command rather than print out text.
The result of the command should be 350
To verify you can manually add up the values to check the answer is correct.
Answer:
First you have to add :-X = 7+2+5+9+6+10+9+8+4
X= 50
Y = 2+5+7+4+2+9+9+4+10
Y = 52
Now ,
Σ(xy)= 50×52
= 2600
Hope it helpful to you
