For the first dataset:
Median: 19
And, For the second dataset:
Median: 17
Now, We can find the median, quartiles and the interquartile range (IQR) for each dataset:
For the first dataset:
Median: 19
First quartile (Q₁): 16
Third quartile (Q₃): 25
IQR: Q₃ - Q₁ = 9
For the second dataset:
Median: 17
Q₁: 4
Q₃: 36
IQR: Q₃ - Q₁ = 32
Now, we can draw the boxplots:
For the first dataset:
Draw a number line from the minimum value (14) to the maximum value (30).
Draw a box from Q₁ (16) to Q₃ (25).
Draw a line in the box at the median (19).
Draw whiskers from the box to the minimum and maximum values that are within 1.5 × IQR of the box.
In this case, the whiskers will extend to 14 and 30 because there are no outliers.
For the second dataset:
Draw a number line from the minimum value (-1) to the maximum value (46).
Draw a box from Q1 (4) to Q3 (36).
Draw a line in the box at the median (17).
Draw whiskers from the box to the minimum and maximum values that are within 1.5 IQR of the box.
In this case, the whiskers will extend to -1 and 46 because there are outliers outside of this range.
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PLEASE HELP ME PLS PLS!
i need help please i’m confused
suppose that a family has 4 children.? also, suppose that the probability of having a girl is one half. find the probability that the family has no more than 3 boys.
The probability that a family with 4 children has no more than 3 boys is 15/16.
To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.
The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.
Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴
= 15/16
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How much greater is the average temperature on Earth than the average temperature on Jupiter?
The average temperature on Earth is greater than the average temperature on Jupiter by 225°F.
By how many degrees Fahrenheit is the average temperature on Earth than the average temperature on Jupiter?The average temperature on earth is greater than the average temperature in Jupiter by 225°F. This can be obtained by getting the average temperatures as follows:
The average temperature on Earth is = 59°F
The average temperature on Jupiter is = -166°F.
Now we represent this in an equation as follows:
-166°F + x = 59°F
x = 59 - (-166)
x = 59 + 166
x = 225°F.
So, the figure with which the average temperature of the earth surpasses the average temperature of Jupiter is 225°F.
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Does anybody know it part 2
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
Daily question: what is 5 to the 3rd power?
Answer:
125
Step-by-step explanation:
5 to the 3rd power means 5³
5³ = 5x5x5
= 125
4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?
Answer:
9 t-shirts
Step-by-step explanation:
divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total
A can of soup has a diameter of 7 cm and a height of 12 cm. Assuming that
the can is full, what is the volume of soup contained in the can? Use 3.14 for
Ti and round your answer to the nearest cubic centimeter.
TOMATI
Soup
12 cm
7 cm
Answer:
462 cm³
Step-by-step explanation:
A can of soup has the shape of a cylinder
Volume of a cylinder = πr²h
π = 3.14
radius, r = diameter / 2
= 7cm / 2
= 3.5 cm
Height, h = 12 cm
Volume of a cylinder = πr²h
= 3.14 * (3.5)² * 12
= 3.14 * 12.25 * 13
= 461.58 cm³
Volume of the cylinder = 461.58 cm³
Approximately to the nearest cubic centimeter = 462 cm³
The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).
A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.
Which of the following is an accurate description of the scatterplot?
Answer:
I cannot confirm answer (D), but it looks correct to me.
Here's the option:
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
ED2021
The black graph is the graph of y =f(x). Choose the equation for the red graph. A. y - 1 = f() B. y + 1 = f() C. = f(x - 1) D. f(x)
Answer: C
Step-by-step explanation:
The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.
I only need help with the third one
Answer:
240
Step-by-step explanation:
12/100 X 2000
=240
the answer is 240
Answer:
$240
Step-by-step explanation:
Which point justifies the shaded area by satisfying StartFraction (y + 1) squared Over 6 EndFraction minus StartFraction (x + 2) squared Over 24 EndFraction greater-than-or-equal-to 1?
(12, 6)
(–2, 6)
(8, –6)
(–1, –2)
Please help asap test is timed!
(–2, 6) are the points that justify the shaded area
We can substitute the values of x and y from each point into the inequality and check if the inequality is satisfied or not.
Let's check each point:
For points (12, 6):
\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (12+2)^2/24 \\= 49/6 - 196/3 \\= -57.33\)
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
For points (–2, 6):
\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (-2+2)^2/24 \\= 49/6\)
Here, the value of the expression is greater than or equal to 1, so this point does justify the shaded area.
For points (8, –6):
\((y+1)^2/6 -(x+2)^2/24 \\= (-6+1)^2/6 - (8+2)^2/24 \\= 25/6-100/24\)
Here, the value of the expression is greater than or equal to 1, so this point does not justify the shaded area.
For point (–1, –2):
\((y+1)^2/6 -(x+2)^2/24 \\= (-2+1)^2/6 - (-1+2)^2/24 \\= 1/6 - 1/24 \\= 1/8\)
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
Therefore, the points that justify the shaded area are (–2, 6).
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6.6299 rounded to the nearest tenth is
Answer:
6.6
Step-by-step explanation:
Answer:
l;sqld
Step-by-step explanation:
d;[sldsa
Find the volume of this sphere.
Round to the nearest tenth.
Formulas for Spheres
S.A. = 4лr²
V = πr³
16 ft
[?] ft³
Answer: V = 2048π/3 FT^3
Step-by-step explanation:
V = 4/3*πr³
V = 4/3*π(16/2)^3
V = 4/3*π(8)³
V = 4/3*512π
V = 2048π/3 FT^3
Answer:
2144.7
Step-by-step explanation:
Expert Pavers, Inc., contracts with Fabricated Building Corporation to repave Fabricated's parking lot for which Fabricated agrees to pay. The elements of this, and any other, contract include
The contract between Expert Pavers, Inc., and Fabricated Building Corporation for repaving Fabricated's parking lot includes various elements that are essential to the agreement and its enforceability.
A contract is a legally binding agreement between two or more parties that outlines the rights and obligations of each party. In the case of Expert Pavers, Inc., and Fabricated Building Corporation, the contract for repaving the parking lot encompasses several elements. First, there must be an offer from one party, which in this case is Expert Pavers, Inc., to perform the repaving services. Fabricated Building Corporation must then accept the offer and agree to pay for the services provided. This acceptance can be expressed orally, in writing, or even implied by the conduct of Fabricated Building Corporation. Furthermore, for a contract to be valid, there must be consideration, meaning that each party must provide something of value to the other. In this situation, Expert Pavers, Inc., provides the repaving services, and Fabricated Building Corporation provides payment. Additionally, the contract should clearly define the scope of work, timeline, and any other specific terms or conditions agreed upon by both parties. It is crucial for contracts to be clear, unambiguous, and mutually agreed upon to ensure enforceability and protect the rights of both parties involved.
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Simplify 315-51/3+43.
how to simply this?
Answer:
341
Step-by-step explanation:
First, divide 51 by 3 to get 17.
So the problem should be 315-17+43.
Then, do 315-17 and get 298.
Lastly, add 43 to get the answer of 341.
Answer:(
2,−6).(9,9)
(,8).(7,−52)
(12,−5)−(5,6)
Step-by-step explanation:
So lets talk about a site that will help you. Go to m4thway
52
Find the volume of the figure
(2 Points)
24 ft
9 ft
15 ft
12 ft
10 ft
Answer: the volume of the figure is 792 ft³
Step-by-step explanation:
The volume of a shape V consists of the volume of a prism V1 and
the volume of the pyramid V2
9²+12²=15²
81+144=225
225≡225
Hence, figure base is а right triangle
So, V=V1+V2
\(\displaystyle\\V1=\frac{12*9}{2} *10\\\\V1=6(9)(10)\\\\V1=540\ ft^3\\\)
\(\displaystyle\\V2=\frac{1}{3}(\frac{12*9}{2} )(24-10) \\\\V2=\frac{12(9)(14)}{6} \\\\V2=252\ ft^3\)
\(V=540+252\\\\V=792\ ft^3\)
PLZ HELP PLZ (1a) Use long division to show the fraction and decimal in each pair are equivalent? 3/4 & 0.75. Hint: Divide 3/4.
Answer:
3 divided by 4 will equal 0.75 which is equivalent to 0.75. or you can do 6/8 which will also equal 0.75. and 6/8 is equivalent to 3/4. so therefore it's confirmed that 3/4 is equivalent to 0.75
Select all the ratios that represent unit rates.
A.
7 days
1 book
B.
15 gallons
350 miles
C.
1 year
$30,000
D.
1 minute
90 words
E.
5 students
5 teachers
Answer:
The answers to this problem are B, D, and A.
Step-by-step explanation:
I just did the problem. I always get 100% on these quizzes.
which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7
Answer:
m = 1
Step-by-step explanation:
4 x 1 + 3 = 7
Answer: Addition property
Step-by-step explanation:
In the equation 4m + n = 7 , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7 so 3 has been added on each side.
Hello, I am very new to python and I am having trouble with this
problem
The German mathematician Gottfried Leibniz developed the
following method to approximate the value of π:
π = 4(1 - 1/3 + 1/5
To approximate the value of π using the Leibniz method, you can write a Python program that calculates the sum of the series up to a certain number of terms. The more terms you include in the series, the closer the approximation will be to the actual value of π.
The Leibniz method, also known as the Leibniz formula for π, is an infinite series that converges to π/4. The formula is given by:
π = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...)
To approximate π, you can calculate the sum of the series up to a certain number of terms. The more terms you include, the more accurate the approximation will be.
In Python, you can write a program that iterates through the terms of the series and accumulates the sum. Here's an example of how you can implement it:
def approximate_pi(num_terms):
pi = 0
sign = 1
for i in range(1, num_terms*2, 2):
term = sign * (1/i)
pi += term
sign *= -1
return pi * 4
num_terms = 100000 # Choose the number of terms for the approximation
approximation = approximate_pi(num_terms)
In this example, we define the approximate_pi function that takes the number of terms as an argument. The function iterates from 1 to num_terms*2 with a step size of 2, representing the denominators of the series. The sign alternates between positive and negative to include the alternating addition and subtraction. Finally, we return the calculated sum multiplied by 4 to obtain the approximation of π.
By increasing the value of num_terms, you can achieve a more accurate approximation of π. However, keep in mind that the Leibniz method converges slowly, so a large number of terms may be needed for a precise approximation.
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What’s the answer for this equation?
1/2 * (1, 341 + 625)
Answer:
1,966 I think
Step-by-step explanation:
Answer:
982.5
Step-by-step explanation:
Always do the parenthesis first
1/2 * 1, 341 + 1/2 * 625
670 + 312.5
982.5
The product of (px + qy)(ax − by) is
Answer:
The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.
Step-by-step explanation:
Answer: apx^2-bpxy+aqxy-bqy^2
Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.
Given each set of points, determine if AB and CD
are parallel, perpendicular, or neither.
9. A(2, 2), B(0, 0), C(2, 0), D(0, -2)
Answer:
Paralell
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
Answer:
parallel
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
If the Federal Reserve sells $80,000 in Treasury bonds to a bank at 7%
interest, what is the immediate effect on the money supply?
OA. It is increased by $80,000.
OB. It is decreased by $85,600.
C. It is decreased by $80,000.
D. It is increased by $85,600.
Answer: D
Step by step explanation: the bank with 7% interest can get 7% incrementing (+5600$), because capitalism.
Answer: OB
Step-by-step explanation:
It is decreased by $80,000.
did the test
-33.22 - 93.8 = ???
.
.
.
.
Answer:
-127.02 Hope this helps
Water Pressure Application In certain deep parts of oceans, the pressure of sea water, P , in pounds per square foot, at a depth of d feet below the surface, is given by the following equat
The depth of the person is given as follows:
d = 715 ft.
How to obtain the depth of the person?The pressure function for this problem is given as follows:
P = 13+ 6d/13
In which d is the depth in feet.
Hence, for a pressure of 343 pounds per square feet, the depth is obtained as follows:
343 = 13 + 6d/13
d = 330 x 13/6
d = 715 ft.
Missing InformationThe missing text is:
P= 13+ 6d/13
If a scientific team uses special equipment to measures the pressure under water and finds it to be 343 pounds per square foot, at what depth is the team making their measurements?
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Use the general slicing mothod to find the volume of the following solid. The solid with a semicircular base of radius 9 whose cross section is perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.
My online home work says the right integral is
int {0}^{9} 4(81-y^{2})dy
wich I understand but I don't know where the 4 came from.
The "4" in the integral is actually the height (or thickness) of each slice that we are using to find the volume of the solid.
In this case, we are taking infinitesimal slices perpendicular to the x-axis and the height of each slice is 4.
Let's consider the cross-sectional area of each slice. The cross-section is a square with side length equal to the diameter of the semicircular base, which is 2 * 9 = 18. The area of the square is 18^2 = 324.
However, we also need to take into account the shape of the semicircle. As we move up the solid, the area of the cross-section decreases as the height of the slice decreases. This is because the cross-sectional square is inscribed inside the semicircle, and as the height decreases, so does the width of the square. To account for this, we need to find the width of the square as a function of the height of the slice.
Let y be the height of the slice, then the width of the square is equal to the diameter of the semicircle minus twice the height of the slice. The diameter of the semicircle is 18, so the width of the square is 18 - 2y.
The area of the cross-section at height y is then given by:
A(y) = (18 - 2y)^2
A(y) = 324 - 72y + 4y^2
To find the volume of the solid, we integrate the area of the cross-section with respect to the height of the slice, from 0 to 9:
V = ∫_0^9 A(y) * 4 dy
V = ∫_0^9 (324 - 72y + 4y^2) * 4 dy
V = ∫_0^9 1296 - 288y + 16y^2 dy
V = 1296 * y - 144y^2 + 8y^3 |_0^9
V = 1296 * 9 - 144 * 9^2 + 8 * 9^3
V = 11304 - 1296 + 729 = 8737 cubic units
So, the volume of the solid is 8737 cubic units.
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Let's consider the cross-sectional area of each slice. The cross-section is a square with side length equal to the diameter of the semicircular base, which is 2 * 9 = 18. The area of the square is 18^2 = 324.
A(y) = (18 - 2y)^2
A(y) = 324 - 72y + 4y^2
V = ∫_0^9 A(y) * 4 dy
V = ∫_0^9 (324 - 72y + 4y^2) * 4 dy
V = ∫_0^9 1296 - 288y + 16y^2 dy
V = 1296 * y - 144y^2 + 8y^3 |_0^9
V = 1296 * 9 - 144 * 9^2 + 8 * 9^3
V = 11304 - 1296 + 729 = 8737 cubic units
There are 8 squares and 2 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
2:10 or 1:5
Step-by-step explanation:
Answer: 4 squares to 1 triangle
Step-by-step explanation: both can be divided by two and that is the largest number they can be divided into
pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
:;;;,,,
Step-by-step explanation:
^^^^^^^^^!!~~~