Answer:
198
Step-by-step explanation:
The values of the quartiles are:
Q2 = 21.5
Q1 = 17
Q3 = 28.5
We have,
To find the quartiles (Q1, Q2, and Q3) of a dataset, you need to first arrange the numbers in ascending order.
Arranging the dataset in ascending order:
15, 15, 16, 17, 17, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 26, 28, 28, 28, 29, 29, 29, 30
Q2 represents the median, which is the middle value of the dataset when it is arranged in ascending order.
In this case, there are 24 numbers in the dataset, so the median would be the average of the 12th and 13th values:
Q2 = (21 + 22) / 2 = 21.5
Q1 represents the lower quartile, which is the median of the lower half of the dataset.
Since there are 24 numbers, the lower half would consist of the first 12 values:
Q1 = (17 + 17) / 2 = 17
Q3 represents the upper quartile, which is the median of the upper half of the dataset.
Again, since there are 24 numbers, the upper half would consist of the last 12 values:
Q3 = (28 + 29) / 2 = 28.5
Therefore,
The values of the quartiles are:
Q2 = 21.5
Q1 = 17
Q3 = 28.5
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In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)
Answer:
You will add!
Step-by-step explanation:
Words words words
Milo is working on a wall mural using geometric shapes. The mural includes parallelograms and rectangles like the ones below.
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Opposite angles are right angles.
Answer:
Opposite angles are right angles.
Step-by-step explanation:
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
3/41 members of a cricket club are left handed. Give the ratio of right-handed club members to left-handed club members.
The ratio of right-handed club members to left-handed club members is approximately 12.67 : 1.
What is Algebraic expression?
Algebraic expression can be defined as combination of variables and constants.
If \(\frac{3}{41}\) members of a cricket club are left-handed, then the remaining members must be right-handed. We can find the number of right-handed members by subtracting the number of left-handed members from the total number of members in the club:
Number of right-handed members = Total number of members - Number of left-handed members
Since the left-handed members make up \(\frac{3}{41}\) of the club, the right-handed members must make up the remaining \(\frac{38}{41}\) of the club. Therefore, the ratio of right-handed members to left-handed members is:
Right-handed members : Left-handed members
38 : 3
Alternatively, we can simplify the ratio by dividing both sides by 3:
Right-handed members : Left-handed members
\(\frac{38}{3}\) : 1
Simplifying the left-hand side of the ratio, we get:
Right-handed members : Left-handed members
12.67 : 1
Therefore, the ratio of right-handed club members to left-handed club members is approximately 12.67 : 1.
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In an animal rescue facility are 21 animals.14 cats and 7 dogs. During the day 5 animals were adopted.what is the probabity that 3 cats and 2 dogs were adopted? Review ch 7 on probability
Answer:
0.3756
Step-by-step explanation:
I believe this is a combinatorics probability problem.
We first figure out in how many ways we can choose 3 cats out of 14 cats
Then we figure out how many ways we can choose 2 dogs out of 7 dogs
The total number of ways to select 3 cats and 2 dogs will be the product of these two
We then figure out in how many ways we can select 5 animals out of a total of 21 animals
The product we computed divided by the above number will give the probability
The number of ways we can choose k items out of n items is given by nCk i.e n Choose k
The formula is rather complicated but almost all calculators should be able to compute this given n and k
Let's deal with the selection of 3 cats from the population of 14 cats
This is given by 14C₃ which works out to 364
Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21
Number of ways of selecting 5 animals from 21 = 21C₅ = 20349
The probability of selecting 3 cats and 2 dogs is therefore:
\(\dfrac{364 \times 21}{20349} = 0.3756\)
That, I believe is the answer. Please let me know if it is correct and if you need more info.
e
2. Find the linear combination of the standard unit
vectors i and j of given initial and terminal points of a
vector.
desig
SI
Initial Point
(0,-8)
Terminal Point
(9, 12)
The linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.
To find the linear combination of the standard unit vectors i and j, we need to determine the components of the vector that connects the initial point to the terminal point.
Given:
Initial Point: (0, -8)
Terminal Point: (9, 12)
To find the linear combination, we subtract the coordinates of the initial point from the coordinates of the terminal point:
So, Terminal Point - Initial Point
= (9, 12) - (0, -8)
= (9 - 0, 12 - (-8))
= (9, 20)
Therefore, the linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.
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A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
Nicolas reads 3 books in 5 days which is a rate approximately how many books per day.
He can read approximately how many books in 20 days.
Answer:
60
Step-by-step explanation:
I times 20 x 3 = 60 because each days us 3 and I use my fingers to count
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
please help me, i’m struggling!
Solving the algebraic expression, it is found that the value of x + 1 is: 2z + 1.
How to solve the given algebraic expression?For algebraic expressions like the one given in this work, in which two fractions are separated by an equality, the solution is obtained applying cross multiplication.
The expression is:
\(\frac{7acb}{2z} = \frac{21abc}{3x}\)
Applying cross multiplication, we have that:
\(\frac{3x}{2z} = \frac{21abc}{7abc}\)
3x/2z = 3.
Applying cross multiplication again:
3x = 6z
x = 6z/3
x = 2z.
Adding 1 to both sides of the equality, we have that:
x + 1 = 2z + 1.
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find the expected vaulue of the random variable with the following probability distribution 2 3 4 5 6 7 8 9 10 11 12 1/36 1/18 1/12 1/9 5/36 1/9 1/12 1/18 1/36
the expected value of the random variable with this probability distribution is 7.
Why it is?
To find the expected value of a discrete random variable with a probability distribution, you multiply each possible value of the random variable by its corresponding probability and then add up all of the products.
For example, for the probability distribution given:
X P(X)
2 1/36
3 1/18
4 1/12
5 1/9
6 5/36
7 1/9
8 1/12
9 1/18
10 1/36
The expected value, denoted by E(X), can be calculated as follows:
E(X) = (2)(1/36) + (3)(1/18) + (4)(1/12) + (5)(1/9) + (6)(5/36) + (7)(1/9) + (8)(1/12) + (9)(1/18) + (10)(1/36)
E(X) = 7
Therefore, the expected value of the random variable with this probability distribution is 7.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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The table shows the lowest elevations in some countries.
A 2-column table with 5 rows. Column 1 is labeled Country with entries Dominican Republic, France, Hungary, India, Japan. Column 2 is labeled Elevation (meters) with entries negative 46, negative 2, 78, 0, negative 4.
If you plotted these elevations on a vertical number line, which would be the only country with a lowest elevation above 0?
Dominican Republic
France
Hungary
India
Answer:
THE ANSWERE IS C!!!!!!!
Step-by-step explanation: it says above 0 so its not India it has 0
its not Dominican Republic or france and japan cause it is negetive the oly chose is hurgay
Answer:
THE ANSWER IS CStep-by-step explanation:
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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Which statements about the graph of this relationship are true? Select two that apply The graph is a curved line. 8 The graph is a straight line. c. The graph is a vertical line. D The graph represents a function 2020 Illuminate Education Inc.
we are given the equation y = x + 1, this is the equation of a line since every line equation has the following form:
\(y=mx+b\)In the given equation m = 1 and b = 1. This is also a function beacause it follows the vertical line test, that is, if we draw a line parallel to the y-axis, this line would only touch the graph once.
It can't be a vertical line because the equation of a vertical line is of the form:
\(x=k\)Where "k" is a constant, this is not our case.
The graph does have negative outputs, because if we replace x = -3, we get y = -3+1 = -2 , which is a negative output.
If the graph passes through the origin then when x = 0, y = 0, and this is not the case, because if we replace x = 0, we get: y = 0+1 = 1.
Therefore, the only options that apply are that it is a straight line and that it is a function.
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In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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HELPPPPP ASAPPPPPPPPPP!!!!!!!
Answer:
the answer is 76 degrees
The interior angles of a triangle ADD UP TO 180.
the interior angles are x+x+x+24 since two are the same and one has 24 more.
add like terms, 3x+24 . = 180
subtract 24 from both sides 3x=156
x = 52. NOW THIS IS NOT THE ANSWER. the reason why is the question says what is the measure of the LARGEST angle. the largest angle is x+24. 52+24 is equal to... 76 degrees i hope it is correct and it helped.
Step-by-step explanation:
87,959 →
round to nearest hundred
pls help help needed rn asap
Step-by-step explanation:
87,959 ==> 88,000 is the nearest hundred
The answer is:
87.96Work/explanation:
When rounding to the nearest hundredth, round to 2 decimal places (DP).
Which means we should round to 5.
5 is followed by 9, which is greater than or equal to 5. So, we drop 9 and add 1 to 5 :
87. 96
Therefore, the answer is 87.96.I need help with this question! (For 55 points)
Answer:
1.65 inches
Step-by-step explanation:
3.63/2.2= 1.65
Check
2.2 x 1.65 x 1/2 = 1.815
Repeat for the other half of the triangle
2.2 x 1.65 x 1/2 = 1.815
Add
1.815 + 1.815= 3.63
Answer:
1.65"
Step-by-step explanation:
I did the test
Hope this helps :)
Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity
Answer:
2
Step-by-step explanation:
(6 + square root of -64) - (square root of -16)
6 - 8 + 4
2
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
The given expression can be written as,
[6 + √(-64)] [3 - √-16]
= (6 + 8i)(3 - 4i)
= 18 - 24i + 24i - 32i²
= 18 - 32(-1)
= 18 + 32
= 50
Hence, The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
14
Step-by-step explanation:
According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answer:
Option A is the right answer mate...
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
Jesse has $3.02 worth of pennies and nickels in his piggy bank. The number of nickels is three more than eight times the number of pennies. How many nickels and how many pennies does Jesse have?
Answer:
Step-by-step explanation:
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
Determine a linear function
to represent the cost of tuition as a function of
, the number of years since 1990.
In the year 2011, tuition will be $
352
per credit hour.
In the year
, tuition will be $424 per credit hour
C(x) = 103 + 15(x-1990) is the equation . Tuition will be $583 per credit hour in 2022, assuming a linear increase.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
C(x) = 103 + 15(x-1990)
C(2012) = 103 + 15(2012 - 1990 [22]) = 330
In the year 2012, tuition will be $330 per credit hour
583 = 103 + 15(X-1990)
583 - 103 = 15(X-1990)
480 = 15 (X -1990)
480 / 15 = X - 1990
X = 1990 + 32
X = 2022
In the Year 2022 tuition will be $583 per credit hour assuming a linear progression.
The linear equation is C(x) = 103 + 15(x-1990). In the Year 2022 tuition will be $583 per credit hour assuming a linear progression.
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A collection box contains 5 blue balls, 3 red balls and 2 green balls. If you were to pick 3 balls at random and without replacement, what is the probability of selecting 3 blue balls?
The probability of selecting 3 blue balls at random and without replacement from the collection box is 5/36.
To calculate the probability of selecting 3 blue balls, we need to use the formula for the probability of multiple independent events occurring together, which is the product of their individual probabilities.
The probability of selecting the first blue ball is 5/10 (since there are 5 blue balls out of a total of 10 balls in the box).
After selecting the first blue ball, there are 4 blue balls left out of 9 total balls remaining in the box, so the probability of selecting a second blue ball is 4/9.
After selecting the second blue ball, there are 3 blue balls left out of 8 total balls remaining in the box, so the probability of selecting a third blue ball is 3/8.
Therefore, the probability of selecting 3 blue balls is:
P(3 blue balls) = (5/10) * (4/9) * (3/8)
Simplifying this expression, we get:
P(3 blue balls) = 5/36
So the probability of selecting 3 blue balls at random and without replacement from the collection box is 5/36.
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Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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Hello, could someone please help me with this? It is due right now and I have no idea what to do.
Answer:
20 :)
Step-by-step explanation:
as you can see it goes 8,10,12,14,16,20
At a pancake breakfast, there are a total of 150 pancakes.
Some are blueberry, some are plain, some are chocolate chip.
Two-thirds of the blueberry ones are eaten.
Four-fifths of the plain ones are eaten.
Half of the chocolate chip ones are eaten.
Now there are an equal number of each type of pancake.
How many of each type of pancake was there to begin with?
Applying equations, the number of each type of pancake are originally: 81 blueberry pancakes, 27 plain pancakes, and 42 chocolate chip pancakes.
How to Solve Word Problems Using Equations?Let's use the following variables to represent the number of each type of pancake:
Let x be the number of blueberry pancakes.Let y be the number of plain pancakes.Let z be the number of chocolate chip pancakes.From the problem statement, we know that:
x + y + z = 150 (total number of pancakes)
1/3 x blueberry pancakes are left
4/5 y plain pancakes are left
1/2 z chocolate chip pancakes are left
There are now an equal number of each type of pancake
From the last statement, we can set up the following equations:
1/3 x = y = 1/2 z
Multiplying all sides of each equation by the least common multiple of the denominators, we get:
2x = 6y = 3z
Dividing all sides of each equation by 2, we get:
x = 3y = 3/2 z
Now we can use the equation x + y + z = 150 to substitute for x in terms of y and z:
3y + y + 2/3(3/2z) = 150
Simplifying and solving for z, we get:
5z = 270
z = 54
Substituting z = 54 into x = 3/2 z, we get:
x = 81
Substituting z = 54 into y = x/3, we get:
y = 27
Therefore, there were originally 81 blueberry pancakes, 27 plain pancakes, and 42 chocolate chip pancakes.
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