Answer:
0.7
Step-by-step explanation:
In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
PLEASE LOOK AT THE NUMBERS CAREFULLY
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75
Answer:
To find the value of the quartiles, we need to first find the median of the data set. The median is the middle value of the data set, or the value that separates the lower half of the data from the upper half. In this data set, the median is 68, as it is the middle value when the data is arranged in ascending order.
Once we have the median, we can find the first and third quartiles. The first quartile, also known as Q1, is the median of the lower half of the data set, and the third quartile, also known as Q3, is the median of the upper half of the data set. In this data set, the lower half of the data is {56, 58, 64}, and the upper half of the data is {72, 75, 78}. The median of the lower half is 58, and the median of the upper half is 75.
Therefore, the value of the quartiles is Q1 = 58, Q2 = 68, and Q3 = 75.
Option D, Q1 = 58; Q2 = 68; Q3 = 75, is the correct answer.
Step-by-step explanation:
pleas anwear fast
Graph the function.
�
(
�
)
=
4
⋅
(
3
2
)
�
f(x)=4⋅(
2
3
)
x
f, left parenthesis, x, right parenthesis, equals, 4, dot, left parenthesis, start fraction, 3, divided by, 2, end fraction, right parenthesis, start superscript, x, end superscript
The graph of the function f(x) = 4(2/3)^x is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=4⋅(
2
3
)
x
Express the equation properly
So, we have
f(x) = 4(2/3)^x
The above expression is a an equation of a exponential function
Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
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What is the circumference of a circle with a radius of 14 feet use 22/7 for pi
2,464?” Feet
616 feet
88 feet
44 feet
The circumference of a circle with a radius of 14 feet is 88 feet.
What precisely is a circle?Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.
When we find the circumference, we obtain:
The circumference( C) of a circle is 2πr.
C=2πr
⇒C=2×\(\frac{22}{7}\)×14=88 feet.
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Solve for x:
2x + 9 = 3
Answer:
x = -3
Step-by-step explanation:
2x + 9 = 3
2x = 3 - 9
2x = -6
x = -3
Answer:
- 3
Step-by-step explanation:
given
2x + 9 = 3
2x = 3 - 9
2x = - 6
x = - 6/2
x = - 3
hope it helps :)
42,000 divided by 10'3 (ASAP)
Answer:407.7669
Step-by-step explanation:
The depth of water at a dock can be modeled as y=4 sin( pi 6 x)+9. At low tide , the water is 5 feet deep. What is the depth of water at high tide its maximum point )?
Answer:
your right the answer is A
have a good day (= <3 <3
Step-by-step explanation:
The depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric function:
\(\rm y = 4 \ sin(\dfrac{\pi}{6}x)+9\)
As we know, the maximum value of a sin function varies [-1, 1]
At minimum value = -1
The depth of the water y = -4 + 9 = 5 feet
At maximum value, sin function = +1
y = 4 + 9
y = 13 feet
Thus, the depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.
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A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.
How to explain the ratio?If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.
Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.
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According to a salad recipe each serving require 6 teaspoons of vegetable oil and 9 teaspoons of vinegar and 24 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.
According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:
First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):
9 ÷ 6 = 1.5
This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:
1.5 ÷ 1 = 1.5
(teaspoons of oil per 1 teaspoon of vinegar)
24 ÷ 1.5 = 16
(teaspoons of vinegar needed)
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pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
1
Question: Two customers went to an office supply store to purchase small
envelopes and memo pads. Each small envelope costs the same amount,
and each memo pad costs the same amount. *
The first customer paid $17 for 7 small envelopes
and 3 memo pads.
The second customer paid $28.75 for 12 small
envelopes and 5 memo pads.
What was the cost in dollars of each memo pad?
Given:
The first customer paid $17 for 7 small envelopes and 3 memo pads.
The second customer paid $28.75 for 12 small envelopes and 5 memo pads.
To find:
The cost in dollars of each memo pad.
Solution:
Let x be the cost of each small envelop and y be the cost of each memo pad.
The first customer paid $17 for 7 small envelopes and 3 memo pads.
\(7x+3y=17\) ...(i)
The second customer paid $28.75 for 12 small envelopes and 5 memo pads.
\(12x+5y=28.75\) ...(ii)
Multiply equation (i) by 12 and equation (ii) be 7 to get same coefficient of x.
\(84x+36y=204\) ...(iii)
\(84x+35y=201.25\) ...(iv)
Subtracting (iv) from (iii), we get
\(84x+36y-84x-35y=204-201.25\)
\(y=2.75\)
Therefore, the cost of each memo pad is $2.75.
Will give 50 points for answer to this question
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation:
The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
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How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
Find the difference.
(-29+7) – (9+11) = 0
Answer:
Step-by-step explanation:
lets remove the parenthesis
-29+7-9-11=-42
Answer:
-42
Step-by-step explanation:
(-29+7)= -22
(9+11) = 20
-22-20= -42
Eight members of a school marching band are auditioning for 3 drum major
positions. How many ways can students be chosen to be drum major?
*
Answer:
Step-by-step explanation:
A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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Camilo uses 32 ounces of filling to make empanadas de quest. He puts 0 empanadas on each of the 3 trays. write a fraction to show how many ounces of filling Camilo uses in each empanadas
The fraction that shows the number of ounces of filling camilo uses in each empanadas is,
↪32 ounces
☆...hope this helps...☆
_♡_mashi_♡_
\( \bold{ \underline{SOLUTION }}\)
Required Answer
32Camilo uses ounce = 32
he put emandas = 0
each tray = 3
find how many ounce of filling camilo uses in each empandas
\( \bold {\underline{ \underline{Let's Begin -: }}}\)0 × 3 = 0
{and any number is cant divided by zero.}
Thus ,,
32 empanadas fill on each ounce
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
Launch Problem
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
5. How many miles did Melanie run altogether last week?
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5
At a swimming pool the ratio of children to adults was 3 : 2
Out of 930 people, how many were adults?
Answer:
372
Step-by-step explanation:
We know that a ratio of 3 : 2 has 5 people, so figuring out how many times that ratio goes into our total number helps us find the value of the total number of adults.
930 / 5 = 186
This means that there are 186 groups of 3 children to 2 adults
So, in each of the 186 groups, there are 2 adults.
Therefore, we can multiply (186)(2)
to find the total number of adults: 372
The number of the children and adult will be 558 and 372.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
At a swimming pool, the ratio of children to adults was 3 : 2.
C / A = 3 / 2
Then solve the equation for C, then the equation will be
C = (3/2)A
The total number of the people is 930. Then the equation will be
C + A = 930
Substitute the value of C in the above equation. Then the equation will be
(3/2)A + A = 930
(5/2)A = 930
A = 930 x (2/5)
A = 372
The number of the adult will be 372.
Then the number of the children will be
C + 372 = 930
C = 930 – 372
C = 558
The number of the children will be 558.
Thus, the number of the children and adult will be 558 and 372.
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A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
give the correct triangle congruence theorem
Solve for x
y=7(x+a)
you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
Find the point at which the line with parametric equations x = 2 3t, y =-4t, z =5 t intersects the plane 4x 5y -2z=18
It looks like you have
\(\begin{cases}x=2+3t\\y=-4t\\z=5+t\end{cases}\)
Substituting these in to the plane equation, we have
\(4x+5y-2z = 4(2+3t) + 5(-4t) - 2(5+t) = -2-10t = 18 \\\\ \implies-10t = 20 \implies t = -2\)
When \(t=-2\), we get the point
\(\begin{cases}x=2+3(-2)\\y=-4(-2)\\z=5+(-2)\end{cases} \implies (x,y,z) = \boxed{(-4,8,3)}\)
Yes again but pls if you don’t know don’t answer.
Answer:
90deg +20deg.
Step-by-step explanation:
Angle RST can be broken down into RSQ and QST, whose measures are 90 deg and 20 deg, respectively. So you just add up the two parts to get the whole.
Hope this helps!
- Using Determinant, Find the value of K below are which the consistent equations for 3x + y + 2 = 0 - 4x + 2Y = K = 0 3X - Y -3K = 0 value are
Using the system of equation and determinant given, the value of k is any real number except -1/3
What is DeterminantThe determinant is a scalar value that can be computed from the elements of a square matrix. It is a useful tool in linear algebra and is used in many applications, including solving systems of linear equations, finding the inverse of a matrix, and calculating the volume of a parallelepiped.
Given the system of equations 3x + y + 2 = 0, -4x + 2y = k and 3x - y - 3k = 0.
We can write these equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix and B is the constant matrix.
A = [3 1 2]
[-4 2 k]
[3 -1 -3k]
X = [x]
[y]
[k]
B = [0]
[0]
[0]
To find the value of k for which the system is consistent, we need to find the determinant of the coefficient matrix.
|A| = (3)(2k) - (1)(-4) + (2)(3) = 6k + 2
For the system of equations to be consistent, the determinant of the coefficient matrix should not be equal to zero.
So, |A| = 6k + 2 ≠ 0
Therefore, the value of k can be any real number except -1/3.
So, the value of k can be any real number except -1/3. The system of equations is consistent for all real numbers except -1/3.
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what is the discrimant of x^2 +x-2=0
Answer:
Discriminant = 9.
Step-by-step explanation:
Discriminant
\(\boxed{b^2-4ac}\quad\textsf{when}\;ax^2+bx+c=0\)
\(\textsf{when $b^2-4ac > 0 \implies$ two real roots}.\)
\(\textsf{when $b^2-4ac=0 \implies$ one real root}.\)
\(\textsf{when $b^2-4ac < 0 \implies$ no real roots}.\)
Given function:
\(x^2+x-2=0\)
Therefore:
a = 1b = 1c = -2Substitute the values of a, b and c into the discriminant formula:
\(\begin{aligned} \implies b^2=4ac&=(1)^2-4(1)(-2)\\&=1-4(-2)\\&=1+8\\&=9\end{aligned}\)
Therefore, the discriminant of the given function is 9.
As the discriminant is greater than zero, this implies that there are two real roots.