The closest option to this value is d) 10.75, but none of the options is an exact match.
To find the interquartile range (IQR) of the data, we need to first find the first quartile (Q1) and the third quartile (Q3).
To do this, we can arrange the data in order from smallest to largest:
98, 100, 104, 105, 106, 110, 112, 115, 116, 118, 120, 122, 126, 130, 136, 140
The median of the data is the average of the two middle values, which are 112 and 115. So, the median is (112 + 115) / 2 = 113.5.
To find Q1, we need to find the median of the data values below the median. These are:
98, 100, 104, 105, 106, 110, 112, 115
The median of these values is (106 + 110) / 2 = 108.
To find Q3, we need to find the median of the data values above the median. These are:
116, 118, 120, 122, 126, 130, 136, 140
The median of these values is (122 + 126) / 2 = 124.
Now we can calculate the interquartile range (IQR) as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 124 - 108 = 16.
Therefore, the interquartile range of the data is 16, or in decimals 16.00.
The closest option to this value is d) 10.75, but none of the options is an exact match.
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The local supermarket had a sale on canned green beans. The green beans sold for 3!cans for $1. 25. One can of green beans usually sells for 50 cents. Find the percent of increase of decrease
The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.
To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.
During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:
Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents
The original price of a can of green beans was 50 cents.
To find the percent increase or decrease in the price, we can use the following formula:
Percent increase or decrease = ((New value - Old value) / Old value) x 100%
Substituting the values, we get:
Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%
Percent increase or decrease = (-0.0833 / 0.5) x 100%
Percent increase or decrease = -16.67%
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Enter the Sum: 8/6 - 6/12 =
Answer:
8/6−6/12=56
Step-by-step explanation:
(86×22)−(612×11)=?
16/12−6/12=?
16−6/12=10/12
10÷2/12÷2=56
8/6−6/12=56
43. timers at a swim meet used four different clocks to time an event. which recorded time is the most precise? a. 55 s c. 55.25 s b. 55.2 s d. 55.254 s
The recorded time that is most precise among the four different clocks used to time an event is 55.254 seconds. This is because the recording of this time has the highest decimal precision compared to the other three options.
Precision refers to the degree of accuracy of a measurement, calculation, or specification. It's related to the number of digits used to record or express a quantity, and it's a reflection of uncertainty associated with a measurement or calculation. The greater the precision, the more significant digits are recorded. For example, the result of a calculation could be stated as 1.23 or 1.234, or 1.2345 depending on the degree of precision necessary or desired.
To determine which one is the most precise, you can look at the number of decimal places or digits after the decimal point. The option with the most number of decimal places is 55.254 s, which has three decimal places, while the other options have either one or two decimal places. The general rule for determining precision is to look at the smallest division on the scale of the measuring instrument. In this case, it is not given what type of clocks were used, so we cannot determine the smallest division of each clock. However, since 55.254 s has the most decimal places, it is the most precise recording among the four options.
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WILL GIVE BRAINLIEST
Prove that in a triangle the length of any altitude is smaller than the sides that are meeting at the altitude's vertex.
The proof here would be based on the use of the Pythagoras theorem in trigonometry.
How to prove that the length of the altitude are smallerIn a triangle getting the altitude or height will result to producing a right angled triangle. In trigonometry, a right angled triangle have the sides as the hypotenuse, the adjacent and the opposite. in this case the altitude is either the opposite or adjacent.
From Pythagoras Theorem, the hypotenuse. equals the square root of the sum of squares of the other two sides. hence is the longer side. Each leg of this triangle would be shorter than the hypotenuse. The two sides that meet at the vertex are the adjacent or the opposite and the hypotenuse.
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Answer:
this is so you can give brainliest
Step-by-step explanation:
1. A U.S. student studied abroad in Zürich, Switzerland. When he arrived in Zürich in January 2005, he exchanged $20,000 for Swiss francs when the exchange rate of USD/CHF (U.S. dollars to Swiss francs) was 1.15. When he left Zürich in January 2006, the exchange rate was 1.30. If he had started his year abroad in January 2006 instead of January 2005, would he have gotten more or fewer francs? What is the exact difference?
Answer:
Yes
With an extra 3000CHF
Step-by-step explanation:
In year 2005, the exchange rate was 1$ = 1.15CHF
The student came in with $20,000.
The amount he had in CHF(swiss franc) = ?
$1 = 1.15C
$20,000 = x CHF
X = (20000 × 1.15) / 1
X = 23,000CHF
When he came to Zürich in 2005, he has 23,000 swiss franc.
But the exchange rates changed in 2006 to C1.30 against the dollar.
$1 = 1.30CHF
$20,000 = xCHF
X = 26,000CHF
In 2006, he would've had 26,000CHF.
The difference between what he would've had in 2006 against 2005 is
26,000CHF - 23,000CHF = 3000CHF
He would've had an extra 3000CHF if he came in the year 2006.
Question 4(Multiple Choice Worth 1 points)
(08.03 LC)
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?
x = the quantity of negative 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 11 all over 2
x = the quantity of negative 3 plus or minus the square root of 11 all over 2
i know its the frist or second one i did the test i am also in flvs :)
Use the figure to find the measures of the numbered angles. a 107 b mm
please help!!! WILL MARK BRAINLIEST
the voterturnout in 1996 was approximatley 9.6 x 10^7 in 2012 the voter turnout was 1.3 x 10^8 how many more people voted in 2012 then in 1996
3.4 * 10⁷ more people voted in 2012 than they voted in 1996.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that the voter turnout in 1996 was approximately 9.6 x 10⁷ in 2012 the voter turnout was 1.3 x 10⁸, hence:
Difference in turn out = 1.3 x 10⁸ - 9.6 x 10⁷ = 3.4 * 10⁷
3.4 * 10⁷ more people voted in 2012 than they voted in 1996.
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Numbers that are used o describe the center of a set of data. These measures include the mean, median, and mode. Which one is the correct answer:
A. measure of center
B. measure of variation
C. interquartile range
D. interval
The numbers that are used to describe the center of a set of data is B)Measure of center.
What is normal distribution?
An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.
Here we know that,
A measure of center, or central tendency, is a single number used to describe a set of numeric data. It describes a typical value within the data set.
The mean and median are the two most common measures of center. The mean is often called the average.
A measure of variability is a single number used to describe the spread of a data set.
Use the interactive below to visualize how a change in center or a change in spread will affect a distribution.
Hence the correct option is B)Measure of center.
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Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the median number of books read by the students?
The median of the data is 6.
Looking at the box plot you provided, we can see that it's divided into four sections, or quartiles. The median, or the middle value of the data, is represented by the line that divides the box in half.
To find the median number of books read by the students, we need to look at the box plot and identify the median line. Then we can follow that line until it intersects with the y-axis, which represents the number of books read. The value at that point is the median number of books read by the students.
By looking through the box plot we have identified that te median is 6.
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hello please help me on this question as soon as possible
10 POINTS
The number of groups of 5/7 that are in 1 is 1 2/5.
when 8 is divided by 5/7, the quotient is 11 1/5.
What are the required values?A proper fraction is a non-integer in which the numerator is less than the denominator. The numerator is the number above and the denominator is the number below. An example of a proper fraction is 5/7.
In order to determine the groups of 5/7 are in 1, divide 1 by 5/7. Division is the process of determining the quotient of two or more numbers. Division is the process of grouping a number into equal groups using another number. The sign that denotes division is ÷.
1 ÷ 5/7
1 x 7/5 = 7/5 = 1 2/5
8 ÷ 5/7
8 x 7/5 = 56 / 5 = 11 1/5
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A person weighing 150 pounds burns about 320 calories per hour walking at a moderate rate. Suppose the same person burns about 1500 calories per day through basic activities. The total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking. What is the slope and y- intercept
The slope of the equation and y- intercept is 320 and 1500 respectively.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Given that the total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking.
To find the slope and y- intercept.
y=320x+1500
Therefore, the slope of the line is;
m =320
Then the y- intercept is 1500
Hence, The slope of the equation and y- intercept is 320 and 1500 respectively.
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Experimental and theoretical see pic
1) Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
2) Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
Explanation:N(Pennies) = 6
N(Nickels) = 8
N(Dimes) = 4
N(quarters) = 7
N(total) = 6 + 8 + 4 + 7
N(total) = 25
1) The theoretical probability of selecting a dime = 4/25
The experimental probability of selecting a dime = 30/150 = 1/5
B is wrong because theoretical probability is 4/25, not 9/50
Wrong statement:
The theoretical probability of selecting a dime is
Correct statement:
The theoretical probability of selecting a dime is 4/25
2) The experimental probability of selecting a penny = 45/200 = 9/40
The theoretical probability of selecting a penny = 6/25
Difference between experimental and theoretical probability = 6/25 - 9/40
Difference between experimental and theoretical probability = 3/200
Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
a carpentry shop makes wall panels that are 3 meters wide. the panels need to be no wider than 0.005 meters wider or narrow than the standard width. the model |x-3|<=0.005 represents this situation. solve the inequality to find the range of acceptable panel widths.
The range of acceptable panel width produced by the carpenter is 2.995 ≥ x ≤ 3.005
How to find the solution of the inequalitylet x be the dimension of the width produced by the carpenter
From the problem the standard width or the given model to produce is given as 3
and the equation is given as
|x - 3| ≤ 0.05
The solution is as follows
x - 3 ≤ 0.005
x ≤ 0.005 + 3
x ≤ 3.005
x - 3 ≤ -0.005
x ≤ -0.005 + 3
x ≤ 2.995
the acceptable values of x is
2.995 ≥ x ≤ 3.005
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is the line through (-2, 4, 0 and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 21, -8)?
AB is not perpendicular to CD
What does perpendicular mean ?Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.
Does perpendicular means opposite?Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.
Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)
(-1,3,-1) for AB
(-1,-18,12) for CD
For the lines AB and CD to be perpendicular
a 1a2+b1b2+c1c2=0
-1(-1)+3(-18)+(-1)(12)
=1-54−12=-65not equal to 0
∴ AB not perpendicular to CD
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Rewrite the equation with an isolated x.
6y − 3x = 12
Answer:
x = 2y-4
Step-by-step explanation:
6y − 3x = 12
Subtract 6y from each side
6y − 3x-6y = -6y+12
-3x = -6y +12
Divide each side by -3
-3x/-3 = -6y/-3 + 12/-3
x = 2y-4
calculate vred, the speed of red light in the diamond. to four significant figures, c=2.998×108m/s.
The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.
According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.
To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.
Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.
Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.
Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.
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What does it mean in this situation if the average rate of change is negative? a. it means that the median age of a man at the time of his first marriage is increasing. b. it means that the median age of a man at the time of his first marriage is decreasing. c. it means that the median age of a man at the time of his first marriage has a constant rate of change. d. there is no way to determine the average rate of change in this situation.
If the situation shows an average rate of change that is negative then it means that b. it means that the median age of a man at the time of his first marriage is decreasing.
What does a negative rate of change show?A negative rate of change means that the variable being investigated is decreasing as time goes on.
As the variable in this case seems to be the median age of a man at the time of his first marriage, it means that this median age is decreasing as time goes on.
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Which set of ordered pairs represents a function?
A. {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B. {(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C.{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D. {(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).
A) (f + g)(x) = x2 + 2x+3
B) (f + g)(x) = x2 + 6x+ 3
C) (f + g)(x) = -x2 + 6x + 7
D) (f + g)(x) = – x2 + 2x - 7
Answer:
A
Step-by-step explanation:
We are given the two functions:
\(f(x)=4x+5\text{ and } g(x)=x^2-2x-2\)
And we want to find:
\((f+g)(x)\)
This is equivalent to:
\(=f(x)+g(x)\)
Substitute:
\(=(4x+5)+(x^2-2x-2)\)
Rearrange:
\(=(x^2)+(4x-2x)+(5-2)\)
Combine like terms. Hence:
\((f+g)(x)=x^2+2x+3\)
Our answer is A.
i need help bad so please help
Answer:
7
Step-by-step explanation:
Answer:
The answer to this would be +7 yards
Step-by-step explanation:
I tried my best...please mark me brainliest and I hope you have a fantastic day!
2. What is the probability of Carrie getting a
blue balloon at random and thern Sara
getting a purple at random right after her?
16 in total 4 blue 4 purple 2 green 3 orange 3 red
To calculate the probability of Carrie getting a blue balloon and then Sara getting a purple balloon right after her, we need to determine the number of favorable outcomes and the total number of possible outcomes.
From the given information, there are a total of 16 balloons, with 4 blue, 4 purple, 2 green, 3 orange, and 3 red balloons.
The probability of Carrie getting a blue balloon is 4 blue balloons out of 16 total balloons, which can be expressed as 4/16 or simplified to 1/4.
After Carrie has selected a blue balloon, there are now 15 balloons remaining, with 4 purple balloons. So, the probability of Sara getting a purple balloon right after Carrie is 4 purple balloons out of 15 total balloons, which can be expressed as 4/15.
To find the probability of both events happening together (Carrie getting a blue balloon and Sara getting a purple balloon), we multiply the probabilities of the individual events:
P(Carrie getting blue and Sara getting purple) = P(Carrie getting blue) * P(Sara getting purple)
= (1/4) * (4/15)
= 1/15
Therefore, the probability of Carrie getting a blue balloon and Sara getting a purple balloon right after her is 1/15.
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Mike discovered that the pool in his backyard is leaking slowly. The pool holds 15,434 gallons of water, and is leaking at a rate of 20 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 122 days?
Answer:
12, 994 gallons
Step-by-step explanation:
20(122) = 2440
15434 - 2440 = 12, 994
simplify the expression :
2 (4 + 5u) =
PLEASE HELP MEEE
Answer:
2u
Step-by-step explanation:
2(4 + 5u)
distribute. 2x4 = 8. 2 x 5u = 10u
8 + 10u
take away 8 from 10
2u.
divide by 2
you get U.
I could be mistaken haven't done this in awhile.
Help me guys !!!!!!!!!!!!!!!!!!!!!!
Answer:
i verified with my maths teacher she said it's correct
Refer the above attachment
given this information, in order to use her 4 hours of time spent studying to get the highest possible test score, how many hours should she have spent solving multiple choice problems, and how many hours should she have spent reviewing lecture notes? 0 hours working on problems, 4 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.
From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.
The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.
So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.
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Maria wants to buy a car that costs $2,000 She starts with 5600 in her savings account and adds to the account every week. The graph below shows how much she has saved in the first 4 weeks.
Assuming she continues to save at the same average rate, about how many more weeks will it take for Maria’s savings to reach $2,000?
Answer:
4
Step-by-step explanation:
i just did the same test its 4
determine whether the geometric series is convergent or divergent. 10 − 2 + 0.4 − 0.08 +
Answer:
This geometric series is convergent:
\( \frac{10}{1 - ( - \frac{1}{5}) } = \frac{10}{ \frac{6}{5} } = 10( \frac{5}{6} ) = \frac{25}{3} = 8 \frac{1}{3} \)
The geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.
To determine if the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent or divergent, we need to examine the common ratio (r) between consecutive terms.
The common ratio (r) can be found by dividing any term by its preceding term.
Let's calculate it:
r = (-2) ÷ 10 = -0.2
r = 0.4 ÷ (-2) = -0.2
r = (-0.08) ÷ 0.4 = -0.2
In this series, the common ratio (r) is -0.2.
For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. If |r| ≥ 1, the series is divergent.
In this case, |r| = |-0.2| = 0.2 < 1.
Since the absolute value of the common ratio is less than 1, the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.
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8
1 point
Find the area. Answer without units.'
7 ft
8 ft.
Answer:
A = l*w
A= 7*8
A= 56
56 is the area
helpppp ill mark u as brain list
Answer:B I think good luck
Answer:
the answer is b
Step-by-step explanation:
all you need to do is find the unit rate you divide 28.74 by 3 and i got 9.58 then you multiply 6,9,12,and 15 and see if the prices match up. B does not match up