For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0
Answers
The interquartile range of the data set summarized in the boxplot is 22.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.
Interquartile range = 70 - 48 = 22
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Related Questions
Please find the function rule and explain how you got it so it helps me understand better. I am SO bad with function rules. ;-;
Answers
The function rule for y is - 5. When you want to get the next number in the set, you subtract five to the previous number. For example, 9 - 5 = 4.
Hope this helps!
find the missing number
9/10 minus blank = 1/5
Answers
The missing number in the equation 9/10 minus blank = 1/5 is 7/10. To find this, we converted 1/5 to the common denominator of 10, resulting in 2/10, and subtracted it from 9/10.
Explanation:To find the missing number in the equation 9/10 minus blank = 1/5, we need to subtract 1/5 from 9/10. To do calculations with fractions, it's essential to have a common denominator. In this case, the least common denominator for 10 and 5 is 10. We need to express 1/5 as 2/10 to match the denominator of 9/10.
Next, we subtract the two fractions:
9/10 - 2/10 = 7/10So, the missing number is 7/10, because 9/10 minus 7/10 equals 1/5. This result becomes clear with the common denominators, as we are able to subtract the numerators directly while keeping the denominator.
Final answer:
To solve for the missing number in the equation 9/10 minus blank equals 1/5, we find a common denominator, move like terms, and solve for x, yielding the missing number 7/10.
Explanation:
To find the missing number in the equation 9/10 minus blank equals 1/5, we need to isolate the blank (let's call it x). To do this, we'll move all known values to one side of the equation.
Start with:
9/10 - x = 1/5
Add x to both sides:
9/10 = x + 1/5
Now, find a common denominator which is 10 in this case, to combine the fractions. This gives us:
9/10 = (x ⋅ 10/10) + (2/10)
Keep in mind, the arithmetic of common denominators to simplify the equation.
Combine like terms:
9/10 = (10x + 2)/10
Multiply both sides by 10 to get rid of the denominator:
9 = 10x + 2
Subtract 2 from both sides:
7 = 10x
Finally, divide by 10:
x = 7/10
So, the missing number is 7/10.
Kyra exercises at a gym for 1 2/3 hours. she stretches,lifts weights, runs, and showers. kyra spends 1/4 hour stretching 1/3 hour showering.how much time does kyra spend running?
Answers
Final answer:
To determine the time Kyra spends running, the time spent on stretching and showering is subtracted from the total gym time, resulting in 65 minutes of running.
Explanation:
Kyra exercises at the gym for a total of 1 2/3 hours. To calculate the time she spends running, we need to subtract the time spent on other activities from the total exercise time. First, convert 1 2/3 hours to an improper fraction: (1 × 3) + 2 = 3 + 2 = 5/3 hours. Now, let's convert this into minutes: 5/3 hours × 60 minutes/hour = 100 minutes.
Next, calculate the total time spent stretching and showering: (1/4 hour × 60 minutes/hour) + (1/3 hour × 60 minutes/hour) = 15 minutes + 20 minutes = 35 minutes.
Finally, to find out how much time Kyra spends running, subtract the time spent on stretching and showering from the total exercise time: 100 minutes - 35 minutes = 65 minutes spent running
Kyra spends 1 hour and 5 minutes running at the gym.
Explanation:To find out how much time Kyra spends running, we need to subtract the time she spends stretching and showering from the total time she exercises at the gym.
Given that Kyra spends 1 2/3 (or 5/3) hours at the gym, and 1/4 hour stretching and 1/3 hour showering, we can calculate:
Total time Kyra spends stretching and showering = 1/4 + 1/3 = 3/12 + 4/12 = 7/12 hours
Time Kyra spends running = Total time at the gym - Total time Kyra spends stretching and showering = 5/3 - 7/12 = 20/12 - 7/12 = 13/12 hours.
Therefore, Kyra spends 13/12 hours or 1 hour and 5 minutes running.
A single gram of a certain metallic substance has 0.52 gram of copper and 0.26 gram of zinc. The remaining portion of the substance is nickel. Ben estimated that 0.2 gram of nickel is in 1 gram of the substance. He used this to estimate the amount of nickel in 35 grams if substance. Find the result of Bens estimation strategy. Then find the exact amount of nickel in 35 grams of the substance.
Answers
Since we know that the remaining portion of the substance is nickel, we have 0.22 gram of nickel.
Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of nickel are in 35 grams of the substance, we are going to multiply the grams of the substance by the gram of nickel:
[tex](35)(0.2)=7[/tex]
We can conclude that according to Ben, 35 grams of the substance has 7 grams of nickel.
But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So lets multiply the grams of the substance by 0.22 to find the actual grams of nickel in it:
[tex](35)(0.22)=7.7[/tex]
We can conclude that 35 grams of the substance has 7.7 grams of nickel.
In one gram of substance 0.22 grams of nickel is present. Then the amount of nickel in the 35 grams of the substance is 7.7 grams.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc.
The remaining portion of the substance is nickel.
Let the gram of nickel be x. Then we have
x + 0.52 + 0.26 = 1
x = 0.22
0.22 grams of nickel.
Ben estimated that 0.2 gram of nickel is in 1 gram of the substance.
He used this to estimate the amount of nickel in 35 grams of the substance.
Then we have
→ 35 × 0.2 = 7
We know that in 1 gram the amount of nickel is 0.22 gram. Then er have
→ 35 × 0.22 = 7.7
The amount of nickel in the 35 grams of the substance is 7.7 grams.
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Write an expression that has four terms and simplifies to 16x+15
Answers
hope this helps
An expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]
What is an expression?" An expression is defined as the statement which relates the variable and the number using mathematical operation."
According to the question,
Given a simplified expression,
[tex]16x +15[/tex]
An expression that has four terms
[tex]8(2x +1) +7[/tex]
Four terms are [tex]8, 2x , 1, 7[/tex]
Simplify the expression we get,
[tex]8\times 2x + 8\times 1+ 7\\\\= 16x + 8 +7\\\\= 16x +15[/tex]
Hence, an expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]
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What is the difference from 6z to z6
Answers
A cylinder has a radius of 12.2 inches and a height of 6.1 inches.
What is the approximate volume of the cylinder?
Use 3.14 for pi.
74.4 in³
148.8 in³
2850.9 in³
4961.2 in³
Answers
Answer:
It's C. 2850.8 in3
Step-by-step explanation:
There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?
Answers
To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.
Explanation:To find the number of boys, we can use the proportion:
3/8 = x/160
We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.
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A table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. Make a diagram of the table and leaves. b. Write an expression that represents the length of the extendable table. What does x represent
Answers
The area of a rectangle is the product of the width and the length
The required values are;
a. Please find attached the diagram of the table attached
b. 6 + 2·x
c. x represents the width of the leaves
Reason:
Known parameter
Length of the table = 6 feet
Width of the table = 3 feet
Number of leaves = 2
Length of the sides of the leaves = 3 feet
a. Please find attached the diagram of the table, with leaves drawn with MS Visio
Total length = (6 + 2·x) feet
Width = 3 feet
Area, A = (6 + 2·x) ft. × 3 ft. = (18 + 6·x) ft.²
b. The expression that represents the length of the table is 6 + 2·x
c. The variable, x, represents the width of the leaves
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The height in feet h of a water bottle rocket launched from a rooftop is given by the equation h = -16t2 + 320t + 32, where t is the time in seconds. After the rocket is fired, how long will it take to return to the ground? Solve by completing the square. Round your answer to the nearest tenth of a second.
Answers
Final answer:
It will take approximately 20.2 seconds for the water bottle rocket to return to the ground after being launched, determined by solving the given quadratic equation by completing the square.
Explanation:
The question asks how long it will take for a water bottle rocket launched from a rooftop to return to the ground, given the equation h = -16t2 + 320t + 32, where h is height in feet and t is time in seconds. To find when the rocket hits the ground, we need to solve for t when h equals zero by completing the square.
First, rearrange the equation: 0 = -16t2 + 320t + 32.
Factor out -16 to simplify: 0 = -16(t2 - 20t - 2).
To complete the square, take half of the -20, square it and add to both sides: 100 + 2 = -16(t2 - 20t + 100).
This simplifies to 0 = -16((t - 10)2 + 98) and then (t - 10)2 = -98/(-16).
Solve for t: t = 10 + sqrt(98/16), which gives approximately t = 20.2 seconds.
Therefore, it will take approximately 20.2 seconds for the water bottle rocket to return to the ground.
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?
Answers
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
PLEASSSEEE HELPPPP BRAINLIEST REWARDED
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
Answers
Answer and step-by-step explanation:
The function is not linear because the graph is not a straight line.
A linear function has a graph that is a straight line; the rate of change is the same between consecutive points.
In this graph, the rate of change is different between different pairs of points. This is a parabola; this is not a linear function.
Answer:
it is not linear because its not a straight line
Step-by-step explanation:
gimme brainliest
the equation of a quadratic function represented by the graph is y=a(x-3)^2-1. what is the value of a?
Answers
a = [tex] \frac{y}{(x-3)^2} [/tex] + [tex] \frac{1}{(x-3)^2} [/tex]
Simplify the expression
Answers
To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.
The following circle graph represents how the Townsends spend their monthly income. What is the central angle measure of the section that represents "Savings"?
18°
36°
5°
9°
Answers
The circle graph represents how the Townsends spend their monthly income.
Total central angle of the circle is 360°
Townsend saves 5% of the monthly budget.
Therefore, the central angle measure of the section that represents "Savings" is 5% of the total central angle
= 5% of 360°
= 18°
The central angle measure of the section that represents "Savings" is 18°
Hope this helps ..!!
Thank you :)
Answer:
18˚
Step-by-step explanation:
The total amout is 360˚ and this small ooprtion is 18˚.
a 6lb watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelon?
Answers
Which of these best describes an undefined term?
A. A term that is a building block for other definitions in geometry
B. A clause in a conditional statement that begins with "then"
C. A statement that has already been proven to be true
D. A statement that is the opposite of an original statement
Answers
Answer:
A. A term that is a building block for other definitions in geometry.Step-by-step explanation:
In Geometry, undefined terms refer to concepts like point, line and plane. Which are concepts that cannot be defined, they are too intuitive. Undefined terms are always true, they cannot be prove because those concepts are too primitive.
It's important to know that Geometry develops another complex defintions from these undefined terms, beacuse point, line and plane are the fundamentals of Geometry.
Therefore, the right answer is A.
Other choices are just wrong, because undefined terms aren't condition statments, they cannot be proven and they aren't oppsite of an original statement.
What is the volume of this square pyramid?
384 cm³
288 cm³
192 cm³
96 cm³
Answers
The required volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The formula for the volume of a square pyramid is:
[tex]$V = \frac{1}{3}Bh$[/tex]
Where B is the base area and h is the pyramid's height.
In this case, the base is a square with a side length of 12 cm, so its area is:
[tex]B = 12^2 = 144cm$^2$[/tex]
The height of the pyramid is 8 cm.
Plugging these values into the formula, we get:
[tex]V = \frac{1}{3}(144)(8) = 384$ cm$^3[/tex]
Therefore, the volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.
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How long would it take to travel 924 miles at the rate of 42 miles per hour? A12 h B22 h C24 h D42 h asap plz
Answers
924/42=22
a product cost 48.50 for 75 feet was is my cost per inch
Answers
$48.50 / 900 = ~ $0.05 per in
Determine whether the given triangles are similar. Justify your answer. If they are similar write a similarity statement. How do you do this?
Answers
Similar shapes may or may not have equal lengths
Triangles ABC and PRQ are similar by SSS
The corresponding sides on both triangles are:
AB = 8, and PQ = 6
AC = 12, and PR = 9
BC = 12, and QR = 9
Divide the corresponding sides, to determine the scale factor (k)
[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]
Evaluate the quotients
[tex]k = 0.75 = 0.75 = 0.75[/tex]
Given that the scale factors are equal.
Hence, both triangles are similar by SSS
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Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards the rest are soccer cards what fraction of bobbys sports cards are baseball or football cards
Answers
The remianing is 3.1/10 or 31/100
Bryan cuts a piece of cardboard in the shape of a trapezoid. The area is 43.5 square centimeters. If the bases are 6 centimeters and 8.5 centimeters long, what is the height of the trapezoid?
Answers
To find the height of the trapezoid, use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2. Plug in the given values and solve for h.
Explanation:To find the height of the trapezoid, we can use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2, where A is the area, b1 and b2 are the lengths of the bases, and h is the height. In this case, the area is given as 43.5 square centimeters, and the lengths of the bases are 6 centimeters and 8.5 centimeters. Plugging in these values, we get:
43.5 = ((6 + 8.5) * h) / 2
Simplifying the equation, we have:
87 = 14.5h
Dividing both sides by 14.5, we find:
h = 6 centimeters
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Height of the trapezoid is 6 centimeters.
Area = (1/2) × (Base1 + Base2) × Height
Given the following values:
Area = 43.5 square centimetersBase1 = 6 centimetersBase2 = 8.5 centimetersWe can plug these values into the formula and solve for the height:
43.5 = (1/2) × (6 + 8.5) × Height
43.5 = (1/2) × 14.5 × Height
43.5 = 7.25 × Height
To isolate the height, divide both sides by 7.25:
Height = 43.5 / 7.25
Height = 6 centimeters
So, the height of the trapezoid is 6 centimeters.
how do you solve u/6 > (with an underline underlining it) 3
plz help
its due tomorrow
Answers
u>=6 × 3
u>= 18
The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales tax? (A) $739.19 (B) $743.37 (C) $752.96 (D) $768.42 (E) $781.62
Answers
What are the roots of the polynomial equation x^3-6x= 3x^2-8? Use a graphing calculator and a system of equations.
–40, –4, 5
–5, 4, 40
–4, –1, 2
–2, 1, 4
Answers
x^3 -6x = 3x^2 -8
x^3 - 3x^2 -6x = -8
x^3 - 3x^2 -6x +8 = 0
now factor:
(x-4) (x^2+x-2) = 0
(x-4) (x-1)(x+2) = 0
the roots are 4, 1, -2
answer is the last one
The regular price of a smart phone is represented by x. When an upgraded phone is released, the new price is 25% more than the older model. The upgraded phone's price can be represented by which expression?
Answers
25% is represented by .25, this is added to 1 which represents 100% of the price of the regular price
Answer:
1.25x
Step-by-step explanation:
Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quizzes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.
Answers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
Make a general statement about information is revealed by an unfactored polynomial compared to a factored polynomial
Answers
An unfactored polynomial will not allow you to find the solutions, however it is easier to differentiate in case you wanted to find the turning points.
For your answer though, i recommend you just write about how a factored polynomial will reveal the solutions. (By the way, solutions are where the equation crosses the x-axis.)
Best of luck!
Rotate the parallelogram 180° clockwise about point Q.
A.
Answers
Answer with explanation:
Given : A Parallelogram A B CD.
When the Parallelogram is rotated by an angle of 180° through point Q,
⇒The Answer can be explained in this way, when you rotate by an angle of 90° the two corresponding sides of Pre-Image and Image will be Perpendicular to each other , while you rotate by an Angle of 180°, the two corresponding sides of Pre-Image and Image will be Anti-Parallel to each other.
⇒By looking at the four options , the option in which Corresponding side of Preimage that is Parallelogram ABCD and after rotating through an angle of 180°,and Corresponding Side of Image that is Parallelogram A'B'C'D' are Anti-parallel to each other.
⇒Point Q , will lie on line joining from D to D'.
Option D