The correct box plot is
A box plot uses a number line from 7 to 46 with tick marks every one unit. The box extends from 22.5 to 33.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 40.
We have the data:
10, 14, 20, 25, 29, 30, 30, 31, 32, 35, 39, 40 .
So, First Quartile(Q1) = ((n + 1)/4)th Term.
= (12+1)/4
= 13/4
= 3.25 th term
= (20+25)/2
= 22.5
and, Second Quartile or median (Q2) = ((n + 1)/2)th Term.
Q₂ = ((12 + 1)/2)th term
= 6.5th term
= 30
and, Third Quartile(Q3) = (3(n + 1)/4)th Term.
Q₃ =3 (3.25)
= 9.75
= 33.5
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The Statue of Liberty in New York Harbor stands at a height of about 305 feet. A group of students in a social studies class is building a scale model of the monument. If the students use a scale of 1 inch: 50 feet, about how tall will their model be? Round your answer to the nearest tenth of an inch if necessary.
Answer:
The answer to your problem is, 6.1 inches
Step-by-step explanation:
So we know that 1 inch of there model in real life is 50 feet.
Divide:
305 / 50
= 6.1 but we are going to use 6
Since it is 6 there model is 6 inches.
But remember we still have that 0.1 which we need to full fill for that:
Note that 6.1 will be in inches.
So it is done.
Thus the answer to your problem is, 6.1 inches
What is the volume of this figure?
Enter your answer in the box.
Answer:6720m^2
Step-by-step explanation:
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
In the above triangle,
1) the sum of side 1 and 2 is: 4x² + 3x + 4
2) the length of side 3 is: 5x³-6x²-12
1) To find the sum of side 1 and side 2, we simply need to add them together.
Side 1 = 3x² - x - 1
Side 2 = x² + 4x + 5
Side 1 + Side 2 = (3x² - x - 1) + (x² + 4x + 5)
= 3x² + x² - x + 4x - 1 + 5
= 4x² + 3x + 4
Therefore, the sum of side 1 and side 2 is = 4x² + 3x + 4
2) We can derive the expression of the thried side by removing the expression in (1) above form the perimeter.
That is;
(5x³-2x² + 3x - 8) - (4x² + 3x + 4)
First we distribute the negative sign
= 5x³-2x² + 3x - 8 + -1 (4x² + 3x + 4)
= 5x³-2x² + 3x - 8 + -1 (4x²) -1( 3x) -1( 4)
= 5x³-2x² + 3x - 8 + -4x² - 3x - 4
Combining like terms we have
= (5x³) (-2x²+-4x²) + (3x +- 3x) + (-8 + - 4)
= 5x³-6x²-12
Hence the missing side (thrid side is) 5x³-6x²-12
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Given that the perimeter of an equilateral triangle is 63 inches, find the height/altitude of the triangle.
The height of the triangle is h = 18.18 inches
Given data ,
In an equilateral triangle, all three sides are equal in length.
Let the length of each side be s
Now , the perimeter of the equilateral triangle is given as 63 inches, so we have:
Perimeter of the triangle = 3s = 63 inches
Dividing both sides by 3, we get:
s = 63/3 = 21 inches
Let's now plot an altitude from one of the equilateral triangle's vertex to the side's midway. As a result, two right-angled triangles will be formed, each with the hypotenuse "s" and sides "s/2" and "h"
From the Pythagoras theorem , we get
(h²) + ((s/2)^2) = s²
Substituting the values we found earlier for "s", we get:
(h²) + ((21/2)²) = 21²
Simplifying further, we have:
(h²) + (10.5²) = 21²
(h²) + 110.25 = 441
Subtracting 110.25 from both sides, we get:
h² = 330.75
On taking square roots on both sides , we get
h = √(330.75)
h ≈ 18.18 inches
Hence , the height of the equilateral triangle is 18.18 inches
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Solve for x. Round to the nearest tenth, if necessary.
Step-by-step explanation:
For a RIGHT triangle tan Φ = opposite leg / adjacent leg
for this triangle
tan 71 = x / 5.7
5.7 * tan 71 = x = 16.6 units
Select the correct answer.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
A. There is no solution.
B. There is exactly one solution
C. There are infinitely many solutions
D.The lines in a system cannot be parallel.
If the graphs of the linear equations in a system are parallel: A. There is no solution.
How to interpret Linear equation Graph?The general form for the equation of a line is:
y = mx + c
where:
m is slope
c is y-intercept
Usually, for two equations to have a solution, they must intersect each other.
However, If the graphs of the two equations are parallel lines, then there will be no solution, and the system is called an inconsistent system because the two lines will never intersect each other.
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If $x$ is a real number, find $49x^2+14x(19-7x)+(19-7x)^2$
The value of the expression is $-56x² + 266x + 261
What are algebraic expressions?Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.
Algebraic expressions are also identified with arithmetic operations, such as;
SubtractionMultiplicationDivisionAdditionBracketParenthesesFrom the information given, we have;
$49x^2+14x(19-7x)+(19-7x)^2
expand the bracket, we get;
49x² + 266x - 98x² + 361 - 7x²
Now, collect the like terms, we get;
49x² - 98x² - 7x² + 266x + 361
Add or subtract the values
$-56x² + 266x + 261
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Find the maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm.
The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is 337.5 cm³
Let's denote the radius of the cylindrical can as r, and its height as h.
The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:
h + 2πr = 45..(1)
We want to find the maximum volume of the can, which is given by:
V = πr²h..(2)
From (1), h = 45 - 2πr
Substitute h value in equation above
V = πr²(45-2r)
V = 45πr² - 2π²r³
To find the maximum volume, we have to find the differentiation of V
dV/dr = 90πr - 6π²r² = 0
Solving for r, we get:
r = 15/π cm
Now plug in r value in h
V = π(15/π)²(15)
= 337.5 cm³
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S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
please help!!!!!!!!!!!
The value of x in the given diagram is 12.
option C.
What is the value of x?The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;
The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.
the angle at circumference = 360 - (6 + 20x)
tangent angle = 4x + 9
360 - (6 + 20x) = 2 (4x + 9)
360 - 6 - 20x = 8x + 18
-28x = -336
x = 336/28
x = 12
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Devon bought a tie. The tie cost $22.50 before tax. After tax, Devon spent $24.30. What was the percent of sales tax
8% will be the value of sales tax that has been charged on a tie will be.
The tie cost is $22.50
The cost after the tax is $24.30.
The change in the cost will be:
= cost after-tax - cost before tax
=24.30-22.50
=1.8
The percentage change will be
Next, assemble a ratio of the sales tax to the pre-tax cost of the tie.
=Sales tax/Pre-tax value
= (1.8/22.50)*100
=8%
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ERROR ANALYSIS Describe and correct the error in finding the area of sector XZY when the area of OZ is 255 square feet. X W Z X 115 Let n be the area of sector XZY. 115 255 n≈ 162.35 ft² n 360 =
Answer: The correct answer would be n/255 = 115/360 (N= 81.46)
Step-by-step explanation:
n/255 = 115/360
155/360 = (255)
n = 81.46 ft squared
The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
The equation of proportionality is n =
270
p
Work out the power of the kettle if it takes 90 seconds to boil.
If your answer is a decimal, give it to 1 d.p.
The power of the kettle if it takes 90 seconds to boil given the inverse proportionality is 3 kilowatts.
What is the power of the kettle?Let
number of seconds that it takes for a kettle to boil = n
power of the kettle = p
n = 270/p
If n = 90 seconds
n = 270/p
90 = 270/p
90 × p = 270
90p = 270
divide both sides by 90
p = 270/90
p = 3 kilowatts
Ultimately, the power of the kettle is 3 kilowatts.
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What is the measure of angle b?
Answer:60 degrees
Step-by-step explanation: The three angles of a triangle add to 180, a right angle is 90 so 180-90-30= 60.
Here are some integers where a
a
b
C
d
d
d
The mode of the integers is 9
The median of the integers is 8
The range of the integers is 4
Work out the value of a, the value of b, the value of c and the value of d
We know that the mode of the integers is 9, which means that 9 occurs more frequently than any other number in the set of integers.
How to explain the mediWe also know that the median of the integers is 8, which means that when the integers are arranged in order from smallest to largest, the middle number is 8.
Finally, we know that the range of the integers is 4, which means that the difference between the largest and smallest integers in the set is 4.
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When signing the lease for his $750.00 per month rental property. Stanley will have to pay the first and last months rent and a security deposit equal to 30% of one month's rent. If Stanley currently earns an average bi-weekly net pay of $1,050.00, determine what percent of his monthly pay he will need to save if he wants to save enough money to sign the lease in three month.
Answer:
Step-by-step explanation:
tax
The question the question shown says, Classify the following triangle as Acute, Obtuse or Right. The angles shown on the triangle are 45, 45, and 90.
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A. incorrect. Acute is when all the angles in the triangle are less than 90, not including 90 ex. (35, 65,80)
B. incorrect. Obtuse is when you have 1 angle greater than 90, not including 90. ex( 100,20, 60)
C. correct, Right is when you have have 1, 90 degree angle. That symbol in the corner of the triangle means the lines are perpendicular, which means it forms right angle or 90 degree angle
D, incorrect because C is true
A study is testing the effectiveness of a new allergy medication. Sixty people who reported they have allergies volunteered to be part of the study and were randomly assigned to one of two groups, as shown in the design web.
Which of the following accurately describes the benefit of comparison in the experiment shown in the design web?
A. The level of allergic symptoms in both groups can be compared to see if the new medication had a significant effect.
B. The overall level of allergic symptoms can be used to determine if the new allergy medication had a significant effect.
C. The level of allergic symptoms in the group who received the medication can be used to determine if the medication had a significant effect.
D. The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo.
The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect since, one group only received a placebo accurately describes the benefit of comparison in the experiment shown in the design web. Thus option A is correct.
A scientific experiment inside that carry out a sequence of tasks and closely monitor their results to discover new information. An investigation is a method that used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that hasn't been tried before.
Although one sample only obtained a placebo inside the investigation depicted in the design web, which is difficult to compare the severity of allergic rhinitis in both groups to establish whether the drug had a substantial impact.
Hence, option A is the correct option.
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In the diagram, angle adc is a central angle and angle measure adc = 60°. What is angle measure ABC?
The measure of angle ABC is 30 degrees. Option B
How to determine the valueIt is important to note the properties of a circle, they include;
Two circles are congruent if they have same radii.Diameter of a circle is the longest chord in the given circleSame chords of a circle subtend the same measure of angles at the center of the circleThe radius that is perpendicular to the chord divides the chord into twoAlso note that the measure of the angle at the circumference is half to twice the measure of the angle at the center.
From the information given, we have that;
<ADC = 60 degrees
This is the angle at the circle
Then,
<ABC is the angle at the circumference
<ABC = <ADC/2 = 60/2 = 30 degrees
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The area of a triangular block is 25 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle? The base of the triangle is inches. The height of the triangle is inches.
Answer:height = 5 inches and the base = 10 inches.
Step-by-step explanation:
solve (2x - 3) (x + 2) = 0
Answer:
x=3/2
x=-2
Step-by-step explanation:
A florist wants to determine if a new additive would help extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations and randomly assigns 10 to the new additive and 10 to the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The difference in proportions (new – original) for the carnations that still looked healthy after three weeks was 0.4. Assuming there is no difference in the additives, 200 simulated differences in sample proportions are displayed in the dotplot.
Using this dotplot and the difference in proportions from the samples, is there convincing evidence that the new additive was more effective?
A. Yes, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
B. Yes, because a difference in proportions of 0.4 or less occurred 193 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
C. No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
D. No, because a difference in proportions of 0.4 or less occurred 193 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
C. No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
====================================================
Explanation:
If the new additive was more effective than the old one, then the difference in proportions (new - old) should be fairly large.
Count the dots over the x axis labels of "0.4" through "0.6"
5 dots over "0.4"1 dot over "0.5"1 dot over "0.6"That makes 5+1+1 = 7 dots total.
There are 7 instances where the difference of proportions is 0.4 or larger.
This is out of 200 observations, so 7/200 = 0.035 = 3.5% of the differences have 0.4 or larger.
This is not very significant. The general rule of thumb is to use 5% as the threshold. Some stats textbooks will use 10%. Other times your teacher will specify the significance level. The Greek letter alpha is often used.
Because 3.5% < 5%, we consider the new additive to not be that effective compared to the original additive.
Find the standard deviation
of the given data.
First, find the mean, X, of the data.
5, 6, 8, 13
Answer:
Step-by-step explanation:
The mean of data is 5.5
Given that
The number of data is = n = 4
The given Numbers are 5, 6, 8, 13
We know
Mean x bar = (sum of data)/(number of data)
= (5 + 6 + 8 + 3)/4
= 22/4
= 5.5
Thus, x bar = 5.5
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Complete the ratio table
The missing values from ratio table are 17 and 28.
We have table as
3 1
48 16
51 x
78 26
84 y
So, the ratio are in proportion then
48 / 16 = 51 /x
3 = 51/x
x= 51/3
x = 17
and, 3/1 = 84/y
y= 84/3
y= 28
Thus, the values are 17 and 28.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
determine he measures of the angles
Answer:
45
Step-by-step explanation:
If four bags of flour and three bags of sugar hace a total mass of 3.9kg (one bag of sugar has a mass of 460g)
What is the mass of one bag of flour?
_________________________________
Notes: 1,000g = 1kg1 Bag of Sugar = 460gTotal Mass of Bags = 3.9kg= 460g × 3= 1,380g= 1,380g ÷ 1,000= 1.38kg= 3.9kg - 1.38kg= 2.52kg= 2.52kg ÷ 4 = 0.63kg= 0.63kg × 1,000= 630g1 Bag of Flour Is 630g________________________________
Is the function g(x)=8 linear or nonlinear?
Answer:
It's linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
How to solve a 2 step inequality
Answer: To solve a two-step inequality, undo the addition or subtraction first, using inverse operations, and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Upper problem:
The transformation is a translation of 3 units down.
Lower problem:
The transformation is a translation of 2 units left and 5 units down.