Answer: It has to be 22.5
Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to find the (Q1) and (Q3) Then see what the difference is between the quartiles, and that should be your answer.
The interquartile range (IQR) of the data set is 19.
It is required to find the interquartile range (IQR) of the data set.
What is statistics ?Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given:
The date are arranged from ascending order
9,14,15,18,20,22,29,36,36,42,45,51
Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.
As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:
[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]
Now we can find the interquartile range that is:
[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]
Therefore, the interquartile range (IQR) of the data set is 19.
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Three vehicles recorded the following information about their trips.
Van: 500 miles in 7.5 hours
Truck: 300 miles in 5 hours
Car: 400 miles in 5.5 hours
Find the unit rate of miles/hour for the Van.
Answer:
66.6 miles/hour
Step-by-step explanation
50/7.5 = 66.6
Find the angle between A = 3i +2j - 6k and B = 4i- 3j+k
The angle between A and B is 90 degrees.
The angle between two vectors A and B, you can use the dot product formula:
A · B = [tex]|A| |B| cos(\theta)[/tex]
where A · B is the dot product of A and B, |A| is the magnitude of A, |B| is the magnitude of B, and theta is the angle between the two vectors.
First, let's calculate the dot product of A and B:
A · B = (3)(4) + (2)(-3) + (-6)(1)
= 12 - 6 - 6
= 0
Next, let's calculate the magnitudes of vectors A and B:
|A| = √((3)² + (2)² + (-6)²)
= √(9 + 4 + 36)
= √(49)
= 7
|B| = √((4)² + (-3)² + (1)²)
= √(16 + 9 + 1)
= √(26)
Now, we can substitute these values into the formula to find the angle theta:
0 = [tex](7)(\sqrt(26)) cos(\theta)[/tex]
Since the dot product is 0, we know that the angle between A and B is either 90 degrees or 270 degrees.
To determine which one it is, we can look at the sign of the dot product. If it's positive, the angle is acute (less than 90 degrees) and if it's negative, the angle is obtuse (greater than 90 degrees).
The dot product is 0, so the angle is orthogonal (perpendicular) and is exactly 90 degrees.
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What is the value of c?
Answer:
84°
Step-by-step explanation:
opposite angles in a cyclic quadrilateral (4-sided shape) add up to 180.
c + 96 = 180
c = 180 - 96 = 84°
If f(1) = 0, what are all the roots of the function f (x) = x cubed + 3 x squared minus x minus 3? Use the Remainder Theorem.
The roots of the cubic function:
f(x)= x³ + 3x² - x - 3
are x = 1, x= -1, x = -3
How to find the roots of the function?We want to find the roots of the function:
f(x)= x³ + 3x² - x - 3
We know that x = 1 is a root, because f(1) = 0.
Then we can write that function as:
(x - 1)*(x - a)*(x - b)
Where a and b are the other two roots, then we need to solve:
x³ + 3x² - x - 3 = (x - 1)*(x - a)*(x - b)
Expanding the right side, we will get:
x³ + 3x² - x - 3 = x³ + (-a - b - 1)x² + (a + b + ab)x + (-ab)
Comparing like terms, we can see that:
(-a - b - 1) = 3
(a + b + ab) = -1
(-ab) = -3
The third equation gives:
ab = 3
Replacing that in the second one we get:
a + b + 3 = -1
a + b = - 1 - 3 = -4
a + b = -4
a = -4 - b
Replacing that in the relation above:
ab = 3
(-4 - b)*b = 3
-4b - b² = 3
b² + 4b + 3 = 0
The zeros of that function are:
[tex]b = \frac{-4 \pm \sqrt{4^2 -4*3*1} }{2*1} \\\\b = \frac{-4 \pm 2}{2}[/tex]
Then if b is the value when we take the positive sign:
b = (-4 + 2)/2 = -1
the value of a is:
a = -4 - b = -4 + 1 = -3
These are the other two roots.
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From a point x, the bearing of a hill is 200⁰ and from another point Y 170km due east of x ,the bearing of the hill is 255⁰. Calculate the distance between the hill and Y
Answer:
Step-by-step explanation:
what is 300 in word form
Answer:
Three Hundred.
Which sample uses the substance(s) that Jacob and Natalie
should use to make a cold pack that will do the BEST job of
keeping food cool?
Note that the substance(s) that Jacob and Natalie should use to make a cold pack that will do the BEST job of keeping food cool is " Sample 1, because it absorbs the most energy" (option A)
What is energy?In physics, energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.
Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed
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Full Question:
Although part of your question is missing, you might be referring to this full question:
People use self-warming and self-cooling devices for many purposes such as keeping drinks cold or food warm. Medical professionals also use these types of devices to store medicines and other substances that need to stay colder than room temperature. These cooling and warming devices use a chemical reaction to produce their chilling and warming effects. Compounds combine in endothermic (heat absorbing) or exothermic (heat releasing) reactions within these devices to help them keep items cool or warm.
Jacob and Natalie are asked by their science teacher to design a warming or cooling device. They decide to design a cold pack that can be used to help keep food cool. Jacob
and Natalie read about different substances that can be used inside cold packs and learn that most cold packs use endothermic reactions to cool objects. They find the table below while researching.
Which sample uses the substance(s) that Jacob and Natalie should use to make a cold pack that will do the BEST job of keeping food cool?
answer choices
Sample 1, because it absorbs the most energy
Sample 2, because it absorbs the most energy
Sample 3, because it absorbs the least energy
Sample 4, because it absorbs the least energy
What is the sum of the interior angles of the polygon shown below?
1260° is the sum of all interior angles of the given polygon.
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees.
The sum of the interior angles in a polygon can be calculated using the formula:
Sum of interior angles = (n - 2) * 180 degrees
In this formula, "n" represents the number of sides or vertices of the polygon.
In the given problem the number of sides is 9.
Thus,
Sum of all interior angle = (9-2)*180
The sum of all interior angles = 1260°
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thanks so much for the help!! you don't have to put the showed work!
Answer:
75 points ( more than?? you didn't add the drop-down list ) today's score.
Hope this helps!
Step-by-step explanation:
y = mx + b
y = 5x + b
(50) = 5(6) + b -> b = 20
y = 5x + 20
If Carlos plays the game today for 0 min, he will get a score of 20 ( odd... how is that possible )
But tomorrow, he plans to play for an extra 15 min, so he will get a score of 95 ( ( 5 × 15 ) + 20 ). The question asks for how much his score will change so his score will change by 75 points ( 95 - 20 ).
You could also just do 15 × 5 to get 75 :)
Write the following number in expanded form: fifty-four and eight tenths
Fifty-four and eight tenths" can be expressed in expanded form as the sum of 54 (representing 50 + 4) and 0.8, which represents the decimal part.
To write the number "fifty-four and eight tenths" in expanded form, we can break it down into its individual place values and numerical components.
The number "fifty-four" can be broken down as follows:
The digit 5 represents the value of 50, which is 5 tens.
The digit 4 represents the value of 4, which is 4 ones.
So, "fifty-four" can be expressed as 50 + 4.
Next, we have "eight tenths". This can be expressed as 8/10 or simply 0.8 since each tenth is equal to 0.1.
Putting it all together, the number "fifty-four and eight tenths" can be written in expanded form as:
50 + 4 + 0.8
Simplifying further, we can combine the integer and decimal parts:
54 + 0.8
Therefore, the expanded form of "fifty-four and eight tenths" is 54 + 0.8.
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Help me !!!! Please I’m offering points
The statement that justifies that ΔBAE ≅ Δ DAE is Side-Side-Angle Postulate. The best option from the statements given is "Classify A triangle". That is definition of a triangle.
What is the Side-Side- Angle Postulate?The Side Side Angle Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Between both triangles, here are the congruent sides and angles:
AB ≅ AD - Given
AE = EA - Reflexive Property. Note that AE is shared by both triangles so we have Two congruent sides.
AC ⊥ BD - that means ∠AEB = ∠AED = ∠BEC = ∠CED = 90°
(perpendicular bisector theorem)
A perpendicular bisector is a line segment that cuts another line segment at 90 degrees. A perpendicular bisector, in other terms, meets another line segment at 90° and splits it into two equal halves.
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Simplify this expression. 26 ÷ 23 A. 16 B. 8 C. 4 D. 1
Using a rule for exponents, we can simplify the expression and see that the correct option is B, 8.
How to simplify the expression?
Remember that when we have the quotient of two powers with the same base (like in this case, where the base is 2) the outcome will be a power of the same base, such that the exponent is equal to the difference between the other two exponents.
The rule is:
[tex]\frac{x^m}{x^n} = x^{m - n}[/tex]
Then we can use that to simplify the expression, we will get:
[tex]\frac{2^6}{2^3} = 2^{6 - 3} = 2^3 = 2*2*2 = 8[/tex]
We can see that the correct option is B.
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Last week, Jorge Sanchez assembled 317 game boards. Find Jorge’s gross earnings for the week if the manufacturer pays at the following differential piece rates:
Boards assembled per week
Pay per board
First 100
$1.82
Next 200
$1.92
Over 300
$2.08
Find his gross pay for the week.
Jorge's gross earnings for the week assembling 317 game boards would be $633.
To calculate Jorge's gross earnings for the week, we need to determine how many game boards fall into each pay rate category and then multiply the quantity by the corresponding pay rate. Let's break down the calculation step by step:
Determine the number of game boards that fall into each pay rate category:
First 100 boards: 100 boards (as the rate applies to the first 100 boards).
Next 200 boards: Since Jorge assembled 317 boards in total and the first 100 boards are already accounted for, we subtract 100 from 317 to get 217 boards that fall into this category.
Over 300 boards: We check if the total number of boards exceeds 300. In this case, since Jorge assembled 317 boards, we have
317 - 300 = 17
boards that fall into this category.
Calculate the earnings for each category by multiplying the number of boards by the corresponding pay rate:
Earnings for the first 100 boards:
100 boards * $1.82 per board = $182.
Earnings for the next 200 boards:
217 boards * $1.92 per board = $416.64.
Earnings for the over 300 boards:
17 boards * $2.08 per board = $35.36.
Sum up the earnings from each category to find the gross pay for the week:
Gross pay = Earnings for the first 100 boards + Earnings for the next 200 boards + Earnings for the over 300 boards
Gross pay = $182 + $416.64 + $35.36
Gross pay = $633.
Therefore, Jorge's gross earnings for the week assembling 317 game boards would be $633.
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4. Maria also wants to study the relationship between the weight of puppies at birth
and their adult weight (at two years old). She collected data from five randomly
selected small-breed dogs and displayed the data in the table.
Birth weightAdult weight
(pounds) (pounds)
1.5 10
317
18
2.5 14
Birth weight Adult weight
(pounds) (pounds)
0.75 5
Part A. Use the data in the table to create a scatterplot. (5 points)
Part A.
(5 points)
Dog Birth and Adult Weights
Answer:
y = 4.87x + 2.28 Is the answer
Step-by-step explanation:
( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )
using a:
THE ULTIMATE LINEAR REGRESSION CACLAULTOR
yes it is the epic i get:
y = 4.87x + 2.28
Nothing more noting less ikr
y = 4.87x + 2.28 Being the answer
Find a • b. a = <5, 2>, b = <4, 5> (2 points) a <20, 10> b <9, 7> c -10 d 30
The dot product of vectors a and b is option D. 30.
How did we get the value?To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.
Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:
a • b = (5 x 4) + (2 x 5)
= 20 + 10
= 30
Therefore, the dot product of vectors a and b is 30.
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geometery I need help please
The value of the given angle which is N and that is rounded to the nearest hundredth would be =45.58°
How to calculate the measure of the missing angle?To calculate the missing angle N, the sine formula should be used and it is given below;
= a/sin A = b/sin B
Where;
a= 7
A= 90°
b= 5
B= N
That is;
7/sin90°= 5/sinN
sinN= 5×1/7
= 5/7
= 0.714285714
N = Sin-1(0.714285714)
= 45.58°
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evelyn has 80 pens
15 pens are black and the other pens are blue
what is the probability of a black pen
Answer:
3/16 or 18.75%------------------
There are 15 black pens out of total 80.
The probability of a black pen is:
P(black) = black / totalP(black) = 15/80P(black) = 3/16 or 18.75%Simplify (2x + 3)(x − 4) = ? A. 2x² - 5x + 12 O B. 2x²5x - 12 O C. 2x² + 5x + 12 O D. 2x² + 5x - 12
Answer:
2x^2-5x-12
Step-by-step explanation:
(2x+3)(x-4) can be simplified using the acronym FOIL, which stands for "first, outer, inner, last." This means that you multiply the first terms in each group, the the outer terms, then the inner terms, and lastly the last terms in each group.
2x*x=2x^2
2x*-4=-8x
3*x=3x
3*-4=-12
Combine those and you get 2x^2-8x+3x-12. Combine like terms, and your final answer is 2x^2-5x-12
Given the supply curve below, how many AirPods would Apple produce at a price of $185?
Supply Curve for Airpods- Qs = 6700 + 75P
O 25600
6775
O20575
6960
The given supply curve is: Qs = 6700 + 75P
To find how many AirPods Apple would produce at a price of $185, we can substitute P = $185 in the equation and find the corresponding quantity (Qs).
Qs = 6700 + 75P Qs = 6700 + 75($185) Qs = 6700 + 13875 Qs = 20575
Therefore, at a price of $185, Apple would produce 20,575 AirPods according to the given supply curve.
What is the height, in meters, of a cylinder with surface area 104π m2 and radius 4 m?
Answer:
Step-by-step explanation:
The cylinder contains three areas, the top circle, the bottom circle, and the middle. The surface area of it is the sum of the three;
[tex]As = \pi r^{2} + \pi r^{2} + 2\pi r (h) \\[/tex]
or
[tex]As = 2\pi r^{2} + 2\pi r (h)[/tex]
where h is the height,
104[tex]\pi[/tex] = [tex]2 \pi (4)^{2} + 2\pi (4)(h)[/tex]
h = 9m
kylie is wrapping a book for her sister.The box is 20" x 12"x 2 1/2. the book she wants to put it in is 18" x 3 1/2 x 8.How much empty space will be in the box once kyile puts the book inside
Answer:
96 cubic inches
Step-by-step explanation:
To calculate the empty space that will be left in the box once the book is inside, we need to find the difference between the volume of the box and the volume of the book.
Volume of the box:
20" x 12" x 2 1/2" = 600 cubic inches
Volume of the book:
18" x 3 1/2" x 8" = 504 cubic inches
Empty space in the box:
600 cubic inches - 504 cubic inches = 96 cubic inches
Therefore, there will be 96 cubic inches of empty space left in the box once Kylie puts the book inside.
here is my algebra 13 homework screenshot, can somebody help me QUICKK PLS
Function graph that has y- intercept of 3 is g(x) = 3[tex](\frac{1}{4}) ^{x}[/tex].
y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3
A) h(x) = 5[tex](2)^{x}[/tex]
when x = 0
Any number with zero power is always 1
h(x) = 5
B) h(x) = 5[tex](0.5)^{x}[/tex] + 0.5
when x = 0
h(x) = 5 + 0.5
h(x) = 5.5
C) g(x) = 3[tex](\frac{1}{4}) ^{x}[/tex]
when x = 0
g(x) = 3
Here we get y intercept as 3.
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jureks brother is 6 years older than him .Together they are 22 years old ,how old are the brothers.Write down the correct equation?
Answer:
Jurek is 8. His brother is 14
Step-by-step explanation:
let's call Jurek J, and let's call his brother B.
his brother is 6 years older than Jurek.
So, B = J + 6.
B + J = 22
(J + 6) + J = 22
2J + 6 = 22
2J = 16
J = 8
so Jurek is 8
B + J = 22, B = 22 - J = 22 - 8 = 14.
Brother is 14
Need help in solving this problem I’m stuck on it. Pls help me?????? If you can see the numbers it’s 3ft, 7ft, 5ft, 4ft.
Answer:
20 square feet
Step-by-step explanation:
area of a triangle = (1/2) base x height
The "base" for this one gigantic triangle is the 'top' of the diagram - - - - it's the entire 3+7 = 10 side. (We can calculate the area of the whole thing at once. We don't have to do the left and the right halves separately!!!)
The height is 4.
So area = (1/2) base x height
= (1/2) * 10 * 4
= 20 square feet
6th grade pls help Thank you
Based on the information, tere are 16224000 possible passwords.
How to calculate the valueThere are 52 possible letters for the first two characters (26 uppercase and 26 lowercase).
There are 6 possible special characters for the third character.
There are 10 possible numbers for the last three characters.
We can use the Fundamental Counting Principle to calculate the number of possible passwords. The Fundamental Counting Principle states that if there are n ways to do one thing and m ways to do another thing, then there are n×m ways to do both things.
In this case, there are 52×52=2704 ways to choose the first two characters, 6 ways to choose the third character, and 10×10×10=1000 ways to choose the last three characters.
Therefore, there are 2704×6×1000
=16224000 possible passwords.
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Select the correct answer.
Which statement best defines a circle?
OA the set of all points in a plane that are the same distance from a given point called the center
OB. the set of all points that are the same distance from a given point called the center
OC points in a plane that surround a given point called the center
OD. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
Reset
Next
Answer:
A. the set of all points in a plane that are the same distance from a given point called the center
Step-by-step explanation:
A toy ball can be modeled as a sphere. Jeriel measures its diameter as 21.9 cm. Find
the ball's volume in cubic centimeters. Round your answer to the nearest tenth if
necessary.
Answer:
Step-by-step explanation:
Which representation shows y as a function of x?
The only relation that is a function is the one in option C.
Which relation is also a function?A relation maps elements from a set called the domain into elements of another set, called the range.
Particularly, if each of the elements in the domain is mapped to a single value in the range, then we have a function.
When we have a graph, we can do the vertical line thest, if a vertical line touches the graph more than once, then it is not a function, with that we can discard the two graphs in the left.
And for option D, we can see that the input 22 is mapped into two different values.
The remaining option, C, is the correct one.
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I 10. The sides of a square are increased by a scale factor of 3. The area of the larger square is what percent of tne area of the smaller square?
The area of the larger square is 900% of the area of the smaller square.
Let's assume that the side of the smaller square is "s". Therefore, the area of the smaller square will be:
Area of smaller square = s²
Now, the sides of the square are increased by a scale factor of 3, which means that the new side length of the larger square will be 3s. The area of the larger square will be:
Area of larger square = (3s)² = 9s²
To find the percentage of the larger square with respect to the smaller square, we need to divide the area of the larger square by the area of the smaller square, and then multiply by 100:
(9s²/s²) x 100 = 900%
This means that the larger square is 9 times the area of the smaller square.
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Mr. Jonus ordered a pizza to take home. His children ate 4/8 of the pizza and
Mr. Jonus ate 2/8 of the pizza. The remaining pizza was saved for later. Which
equation could be used to represent the whole pizza?
The equation that could be used to represent the whole pizza is 4/8 + 2/8 = 6/8 = 3/4.
We are given that;
Pizza ate by children= 4/8
Pizza ate by Jonus= 2/8
Now,
4/8 + 2/8 + x = 1
where x is the fraction of the pizza that was saved for later. This equation shows that the sum of the fractions of the pizza that were eaten and saved is equal to 1, which represents the whole pizza. To solve for x, we can simplify the fractions and subtract them from both sides:
4/8 + 2/8 = 6/8 = 3/4
3/4 + x = 1
x = 1 - 3/4
x = 1/4
Therefore, the equation will be 4/8 + 2/8 = 6/8 = 3/4
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