Problem 1
Answer: 1/6---------------------
Work Shown:
5 people play tennis or soccer
6+5+9+10 = 11+19 = 30 people total
5/30 = (1*5)/(6*5) = 1/6 is the probability of picking someone who plays tennis or soccer.
================================================
Problem 2
Answer: 1/5---------------------
Work Shown:
6 people play tennis, but not soccer.
There are 30 people total (calculated earlier in problem 1).
6/30 = (1*6)/5*6) = 1/5 is the answer
================================================
Problem 3
Answer: 5/11---------------------
Work Shown:
5+6 = 11 people play tennis
We focus on these people only due to the phrasing "given they play tennis"
Earlier in the problem, we're asked the probability of someone playing soccer but not tennis; however, this contradicts the "given they play tennis" fact.
Since the two clash, it means that the probability is 0. There is no way that someone plays tennis and not plays tennis at the same time.
If your teacher means to ask "what is the probability of a student playing soccer given they play tennis also?", then the answer would be 5/11 since we have 5 students who play both and 11 students who play tennis.
I have a feeling your teacher meant to ask this, but I'm not 100% sure. I would double check with your teacher.
If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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TRUE/FALSE. When selecting an alpha level to conduct a hypothesis test, the researcher is determining the probability of making a Type I error.
If the null hypothesis is correct, the probability that the test will result in a type 1 mistake is what is known as the alpha level for a hypothesis test. In other words, even in the absence of a treatment effect, the alpha level impacts the likelihood of collecting sample data in the critical zone.
The alpha level establishes the boundaries for identifying the key area that results in "extremely unlikely" or significant results that deviate from the null hypothesis. The likelihood of making a Type I error is one in twenty, according to researchers who use an alpha value or level of significance of.05.
The chance of rejecting the null hypothesis when it is true is known as the significance level, which is alternatively written as alpha or. For instance, a significance level of 0.05 represents a 5% probability of assuming the existence of a difference when none actually exists.
Hence we get the required answer.
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the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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...........,.........,
Answer:
Step-by-step explanation:bmmmv m
PLEASE HELP ASAP LOOK AT PHOTO PLEASE
Answer:
6: x = 3 and y = 5
7: x = 8 and y = 7
Step-by-step explanation:
In parallelograms opposite sides are congruent
For #6
x + 5 = 2x + 2
step 1 subtract x from each side
2x - x = x
x - x cancels out
now we have 5 = x + 2
step 2 subtract 2 from each side
5 - 2 = 3
2 - 2 cancels out
we're left with x = 3
y + 10 = 2y + 5
step 1 subtract 5 from each side
10 - 5 = 5
5 - 5 cancels out
now we have y + 5 = 2y
step 2 subtract y from each side
y - y cancels out
2y - y = y
we're left with y = 5
For #7
3x - 2 = 2x + 6
step 1 add 2 to each side
-2 + 2 cancels out
6 + 2 = 8
now we have 3x = 2x + 8
step 2 subtract 2x from each side
3x - 2x = x
2x - 2x cancels out
we're left with x = 8
6y - 8 = 4y + 6
step 1 add 8 to each side
-8 + 8 cancels out
6 + 8 = 14
now we have 6y = 4y + 14
step 2 subtract 4y from each side
6y - 4y = 2y
4y - 4y cancels out
now we have 14 = 2y
step 3 divide each side by 2
2y / 2 = y
14 / 2 = 7
we're left with y = 7
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
twenty professiional athlets were asked what age did you graduate from college the responses are displayed in the histogram below
According to the given graph:
Age at graduation (in years) between 45 to 50 years.Age at graduation (in years) between 20 to 25 years.What is histogram?A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.
When should a histogram be used?When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.
According to the given data:Based on these data, the numbers below appear to represent the smallest.:
= Age at graduation (in years) between 45 to 50 years.
Based on these data, the numbers below appear to represent the largest.
= Age at graduation (in years) between 20 to 25 years.
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I understand that the question you are looking for is:
Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.
Frequency 20 30 Age at graduation (in years) 40 50
(a) Which of the statistics below appear to be the smallest based on these data?
(b) Which of the statistics below appear to be the largest based on these data?
What is the BEST way to describe the center of the data represented in this line plot
select from the drop- down menus to correctly complete the statement
The A. mean B. median is A. 4 inches B. 4.5 inches C. 5 inches D. 5.5 inches
PLEASE HURRY ITS DUE AT 4
The mean is approximately 1.67 units of rainfall. The median is 2 units of rainfall.
Describe Median?In statistics, the median is a measure of central tendency that represents the middle value of a set of data. Specifically, it is the value that separates the upper half of the data from the lower half when the data is arranged in order from smallest to largest (or vice versa).
Looking at the line plot, we can see that there are two values marked with a single asterisk and four values marked with two asterisks. Since each asterisk represents a certain amount of rainfall, we can interpret this as follows:
The two values marked with a single asterisk are each 1 unit of rainfall.
The four values marked with two asterisks are each 2 units of rainfall.
Therefore, the data represented in this line plot is as follows:
1, 1, 2, 2, 2, 2
To find the center of this data, we can calculate the mean and median.
The mean is calculated by adding up all the values and dividing by the total number of values. In this case, we have:
(1 + 1 + 2 + 2 + 2 + 2) / 6 = 10 / 6 = 1.67
So the mean is approximately 1.67 units of rainfall.
The median is the middle value when the data is arranged in order. In this case, the data is already in order, so we just need to find the middle value:
The middle value is the average of the two middle numbers:
(2 + 2) / 2 = 2
So the median is 2 units of rainfall.
Based on these calculations, we can conclude that the BEST way to describe the center of the data represented in this line plot is by the median, which is 2 units of rainfall. Therefore, the correct option to complete the statement is:
"The median is 2 inches."
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graph and check the linear systemy=-6 x= 6
Given the lines y = -6 and x = 6, we have the following:
as we can see, the lines intersect on the point (6,-6)
2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Camila built a rectangular vegetable garden, as shown in the figure.
12 ft.
4 ft.
Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second
garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150%. The horizontal measurement of
the second garden is 21
feet, and the vertical measurement of the second garden is 10
feet.
Each day in Bio 18, Derek leaves a stack of paper packets near the entry door for students to obtain. Eighty-one percent of students grab a packet before being seated. If we observe a random selection of nine students, what is the probability that exactly two students sit first before grabbing a packet.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because there are only 2 possible outcomes. It is either a randomly selected student grabs a packet before being seated or the student sits first before grabbing a packet. The probability of success, p in this scenario would be that a randomly selected student sits first before grabbing a packet. Therefore,
p = 1 - 0.81 = 0.91
n = 9 students
x = number of success = 3
The probability that exactly two students sit first before grabbing a packet, P(x = 2) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 2) = 0.297
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
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Answer:
2.828
Step-by-step explanation:
determine the inclination of the following straight line
1. y=x+3 2) 3x-2y = 6
The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.
To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.
The inclination represents the ratio of how much y changes with respect to x.
Equation: y = x + 3
In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.
This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.
Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.
Equation: 3x - 2y = 6
To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.
First, isolate y:
-2y = -3x + 6
Divide the entire equation by -2 to solve for y:
y = (3/2)x - 3
Now we can observe that the coefficient of x is 3/2.
This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.
The inclination can be expressed as 3/2.
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The graph of the invertible function f is shown on the grid below.
What is the value of f -1(6)?
We have been given graph of function \(y=f(x)\). We are asked to find the value of \(f^{-1}(6)\) from the graph of \(y=f(x)\).
We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.
So to find inverse of a function we need to switch all x and y values.
We can see that \(f(4)=6\), so to to find value of \(f^{-1}(6)\), we have to switch x and y values.
After switching x and y values, we will get:
\(f^{-1}(6)=4\)
Therefore, \(f^{-1}(6)=4\).
Answer:
4
Step-by-step explanation:
It is reported that the wild tiger population has declined by 97%
over the last 20 years.
There are now 3200 tigers left in the wild.
To the nearest thousand, how many wild tigers were there 20 years ago?
The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
Determine Percentage decrease theory.The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.
This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.
For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.
This question is using the percentage decrease theory. According to this theory,
you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.
Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).
Original - Current = Change
120,000 - 3200 = 116,800
Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)
Change / Original = Percentage Change
116,800 / 120,000 = 97%
Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)
Percentage Change x Original = Estimated Original
97% x 120,000 = 116,400
Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
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The inverse of function f(x)=10^x
The inverse function is \(f^-^1(x) = \frac{Inx}{In10}\) and Domain (0, infinity) and Range is (-infinity , infinity).
Given,
In the question:
The inverse function f(x) = \(10^x\)
To find the inverse function:
Now, According to the question;
f(x) = \(10^x\)
Rewrite the function using y
y = \(10^x\)
Interchange the position of x and y in the function
x = \(10^y\)
Isolate the dependent variable
y = \(\frac{Inx}{In10}\)
Find the inverse function
\(f^-^1(x) = \frac{Inx}{In10}\)
Hence, The inverse function is \(f^-^1(x) = \frac{Inx}{In10}\) and Domain (0, infinity) and Range is (-infinity , infinity).
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find the numbered angles 1 to10
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer
Please help ASAP!!! Thank you so much!!! Just want confirm my answer and it is A) -5. Consider the function f(x)= \(x^{3}\) +4\(x^{2}\)-25x-50. (x^3+4x^2-25x-50). If there is a remainder of 50 when the function is divided by (x-a) what is the value of a? A) -5 B) -2 C)-3 D)
Answer:
Correct is A
Step-by-step explanation:
Correct is A , notice that when you perform synthetic division you get that the reminder is 50, please refer to the image I attach to see it.
Two angles in a triangle have measures of 42 and 82. (Degrees)
What is the measure of the third angle?
Answer:
angles of the triangle are equal 180
so 42+82=124
180-124=56
so the answer is 56
Step-by-step explanation:
Function or Not a Function? The above is...
Answer:
function
Step-by-step explanation:
the input is not repeated
If 2 pints = 1 quart, how many pints are in a 26-quart container
Answer:
52 pints
Step-by-step explanation:
Given;
2 pints = 1 quart
To Find;
How many pints are in a 26-quart container
Solve;
Since 2 pints = 1 quart
Then the Formula = divide the volume value by 2
The equation for 2 pints = 1 quart is 2 ÷ x = 1
which x = 2.
Thus, the equation for 26 quart container = how many pints =
x ÷ 2 = 26
Divide/Multiply sides by 2
2x/2 = 26 * 2
Simplify
x = 52
Hence, there are 52 pints in a 26 quart container
~Learn with Lenvy~
Please help!!!
Also please don't just answer it incorrectly to get points
what is the age of the new player?
i need help with this question
Answer:(2I3O-9247)
Step-by-step explanation:
Pauline got 9 pounds of
cherries from her tree this year. Last
year she only got 64 pounds. How
many times more pounds did she get
this year than last year?
i think the anser is 55 more pounds
Help me with this answer please!
Given: f(x) = 4.1 42 4x-10 x-2 Determine the x- and y-intercepts of f. 4.3 a x=2² Write f(x) in the form: f(x)=- + q. Draw the graph of f, clearly show the intercepts with the axes and the asymptotes.: 15. 44 Give the equations of the asymptotes of f(x) + 3.
f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.
Given: f(x) = 4.1/(42.4x-10(x-2))
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 4.1/(42.4x-10(x-2))
0 = 4.1/(32.4x+20)
0 = 4.1/4.08(x+4.878)
So, the x-intercept is x = -4.878.
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 4.1/(42.4(0)-10(0-2))
f(0) = -2.05
So, the y-intercept is (0,-2.05).
To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:
f(x) = 4.1/(42.4x-10(x-2))
f(x) = 4.1/(32.4x+20)
f(x) = 4.1/4.08(8x+5)
So, a = 8, b = 5, and q = 4.1/4.08.
To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.
We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.
To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:
4.1
8x + 5 | 4.1
- 4.1
0
So, the slant asymptote is y = 4.1/8x.
Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.
The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.
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Graph the line with slope 3/4 and y intercept -9
A graph of the line with a slope of 3/4 and y-intercept of -9 is shown in the image attached below.
What is the slope-intercept form?Mathematically, the standard form or slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.Next, we would write an equation of this straight line based on the slope and y-intercept as follows;
y = mx + c
y = 3x/4 + (-9)
y = 3x/4 - 9
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