The line plots show the number of hours two groups of kids spent studying last weekend.
How does the data compare for the two groups of kids?
The 10- to 13-year olds spent an average of 6 hours studying last weekend.
The range for the hours spent studying last weekend for the 10- to 13-year olds is the same as the range for the hours spent studying last weekend for the 14- to 17-year olds.
The median value for the hours spent studying last weekend for the 10- to 13-year olds is greater than the median value for the hours spent studying last weekend for the 14- to 17-year olds.
The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds.
Answers
We can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).
What is Range, Median, and Average of a Data Distribution:Range = max - minMedian = middle valueAverage = total sum of values/number of values.Range for hours spent studying for 10 - 13 year olds = 8 - 1 = 7
Range for hours spent studying for 14 - 17 year olds = 10 - 4 = 6
Median for hours spent studying for 10 - 13 year olds = 4
Median for hours spent studying for 14 - 17 year olds = 7
Average for hours spent studying for 10 - 13 year olds = (1+1+2+4+4+4+4+6+6+7+8)/11 = 4.3
Average for hours spent studying for 14 - 17 year olds = (4+4+4+4+6+7+8+9+9+10+10)/11 = 6.8
Therefore, we can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).
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Related Questions
solomon has read 1/3 of his book. He finishes the book by reading the same amount eat night for 5 nights what fraction of the book does he read each of the 5 nights?
Answers
Final answer:
Solomon has 2/3 of the book left to read. To finish it over 5 nights, he needs to read 2/15 of the book each night.
Explanation:
Solomon has read 1/3 of his book already. To finish the remaining 2/3 of the book in 5 nights, we need to calculate the fraction of the book he should read each night. Since he has to evenly distribute the remaining portion over 5 nights, we will divide 2/3 by 5.
Here's the calculation step-by-step:
First, represent the remaining part of the book as a fraction, which is 2/3.
To divide this fraction by 5, we multiply the denominator by 5. This gives us (2/3) × (1/5).
Multiplying these fractions, we get (2 × 1) / (3 × 5), which simplifies to 2/15.
Thus, Solomon reads 2/15 of the book each night for the next 5 nights.
An Investor invested a total of $2,600 in two mutual funds. One fund earned 7% profit while the other earned 3% profit. If the investor’s total profit was $150, how much was invested in each mutual fund?
Answers
let x = amount invested at 3%
so, (2600 - x) is invested at 7%
.07 *(2600 - x) + .03 *(x) = 138
182 - .07x + .03x = 138
-.07x + .03x = 138 - 182
-.04x = -44
-.04x / -.04 = -44 / -.04
x = 1,100
so amount invested at 7% is (2600 - 1100) or 1500
consequently amount invested at 3% is 1100
$1,100 invested at 3%
$1,500 invested at 7%
The money invested in both of the funds are $800 and $1800 respectively.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Suppose the money invested in one of the funds be x.
Then, in the other fund the investment is (2600 - x).
Now, the equation for the total profit from both investments can be obtained as,
7% × x + 3% × (2600 - x) = 150
⇒ 7/100 × x + 3/100 × (2600 - x) = 150
⇒ 4x/100 = 150 - 78
⇒ x = 1800
Thus, the investment in the other fund is 2600 - 800 = $800.
Hence, the investment for both the funds are $800 and $1800 respectively.
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solve the compound inequality
Answers
You want x alone, so subtract 4 from each of the 3 parts.
[tex] -3 \le x + 4 \le 13 [/tex]
[tex] -3 - 4 \le x + 4 - 4 \le 13 - 4 [/tex]
[tex] -7 \le x \le 9 [/tex]
[tex] x \ge -7 [/tex] and [tex] x \le 9 [/tex]
Evaluate.
4+(5-3)5+7
Answers
Hey there!
4 + (5 - 3) 5 + 7
= 4 + (2)(5 + 7)
= 4 + 2(5) + 7
= 4 + 10 + 7
= 14 + 7
= 21
Therefore, your answer is: 21
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
nitially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on.
Answers
Which expression is equivalent to 32?
Answers
Final answer:
The expression equivalent to 32 might refer to a mathematical manipulation or a unit conversion. In equations, 32 is what remains when you subtract 32 from one side of an equation like x + 32 = 64. Meanwhile, in conversions, multiplying the number of quarts by 32 gives you the equivalent volume in fluid ounces.
Explanation:
The expression is equivalent to 32 and could be interpreted in different contexts. Using mathematical manipulation, when you subtract 32 from both sides of an equation, the equality holds. For example, if you have an equation like x + 32 = 64, subtracting 32 from both sides gives us x = 64 - 32, which simplifies to x = 32. This demonstrates an application of the principle that you can add or subtract the same number from both sides of an equation without changing its solution.
In relation to conversion between different units of measurement, specifically volume, when you convert quarts to fluid ounces, the conversion factor is 32 because there are 32 fluid ounces in one quart. Consequently, to find how many fluid ounces are in a given number of quarts, you multiply the number of quarts by 32. For example, 4 quarts equal 4 × 32, which is 128 fluid ounces.
Furthermore, when dealing with electrical resistance, 'equivalent resistance' is another situation where the number 32 might be relevant. Depending on the context and the specific details of an electrical circuit, one of the listed equivalent resistances may be the correct answer to a problem involving calculating the total resistance.
Two points are located at (−9,−8) and (−6,−4) . Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.
Answers
The distance between two points in a coordinate plane can be found using the Pythagorean theorem. For the points (-9,-8) and (-6,-4), the distance is 5 units.
Explanation:The Pythagorean theorem can be used to find the distance between two points in a coordinate plane. To find the distance between the points (-9,-8) and (-6,-4), we can consider the horizontal and vertical differences as the legs of a right triangle. The horizontal difference is 3 and the vertical difference is 4.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c = sqrt(25) = 5
Therefore, the distance between the two points is 5 units.
A small plastic storage container is in the shape of a cylinder. It has a diameter of 7.6 centimeters and a height of 3 centimeters. What is the volume of the storage cylinder
Answers
(3.14)(3.8)^2(3)
136.0248
The volume of the cylinder with given diameter and height is 136.02 cm³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the diameter of a cylinder =7.6 cm and the height of a cylinder = 3 cm.
Radius =7.6/2 =3.8 cm
We know that, the volume of a cylinder is πr²h
Now, volume = 3.14×3.8²×3
= 136.02 cm³
Therefore, the volume of the given cylinder is 136.02 cm³.
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Find the distance between (6,-3) & (-1, 7) on the CCS
Answers
Answer:
9 or (5,4)
Step-by-step explanation:
Just subtract it on each side :)
Please help me with these!!!
Simplify these expressions:
a) 3 2/3x-4/5(x- 3 3/4)
b) 2 1/4x+(4 1/3x-7 4/5) divided by 2 3/5
c) 8x-1 1/7 (1 1/3x-12)
d) 11 4/7x+(5x- 2 2/5)
Answers
Answer:
A) 2 13/15 x + 3
B) 2 7/12 x - 7 4/5 over 2 3/5
C) 5 16/21 x - 18 6/7
D) 16 4/7 x - 2 2/5
Step-by-step explanation:
Which equation will help you solve this problem?
A band performed at halftime during the football game.
There were 64 band members marching in 8 equal rows.
How many band members were in each row?
Answers
So the answer is that 8 members was in each row.
Answer:
There are 8 band members in each row
Step-by-step explanation:
Given : A band performed at halftime during the football game.
There were 64 band members marching in 8 equal rows.
To Find : How many band members were in each row?
Solution :
Let there are x members in each row .
Since there are 8 rows
So, no. of members in 8 rows = 8x
We are also given that there are 64 band members .
⇒[tex]8x=64[/tex]
⇒[tex]x= \frac{64}{8}[/tex]
⇒[tex]x= 8[/tex]
Thus there are 8 band members in each row
irrational number of 5
Answers
Hope this helped
~Melis
Which equals 2.2360679....
Use 3.14 for and round your final answer
Answers
4/3 x 3.14 x 8 ^{3}
4/3 x 3.14 x 512
4/3 x 1607.68
2143.57 (I also got 2144.66 if the first one doesn't work)
2 × 7/8 as a model how do I draw it as a model
Answers
You can draw 8 tiles, and color in 7.
Draw that two times.
That’s one way, but that might not be the way you learned it.
Hope this helped anyways!
Solve: 3(20 + 5y) = - 30.
y = -10
y = - 18
y = 2
y = -6
Answers
The answer to your question would be
Y= -18
This is because 3x20 is 60
so then it would be 60 + 3x5y= -30
it has to be a negative number because 60 is greater than -30
then you would add the absolute values which would be 60+30=90
And divide that by 5 which is 18, but then you have to add back on the negative sign.
the number of songs purchased from an online music store on the first day the store open was 300,000. The number of songs purchased on day x after the first day is given by the expression 300,000 (1.008^n). each day the number of songs purchased is what percent greater than the number of songs purchased the preceding day?
Answers
Answer:
The percentage is 0.008%
Step-by-step explanation:
The number of songs purchased each day from an online music store is 0.8% greater than the number purchased the previous day.
The original number of songs purchased from the online music store on the first day was 300,000. The number of songs purchased on any given day x is represented by the expression 300,000 ([tex]1.008^n[/tex]), where n is the number of days after the first day. To find the percent increase each day, you examine the multiplicative factor 1.008. This reflects a 0.8% (or 0.008 in decimal form) increase in the number of songs purchased from one day to the next. Therefore, each day the number of songs purchased is 0.8% greater than the previous day.
(Please help HURRY!) (Don't delete this!) (I WILL GIVE BRAINY!)
1. ABC undergoes a dilation, with a scale factor of 8, to form A'B'C'.
Side A'B' is 8 times the length of side AB.
What is the area of A'B'C', compared to the area of ABC?
A. The area of A'B'C' is 1/8 of the area of ABC
B. The area of A'B'C' is 1/64 of the area of ABC
C. The area of A'B'C' is 8 times the area of ABC
D. The area of A'B'C' is 64 times the area of ABC
2. DEF undergoes a dilation, with a scale factor of 4, to form D'E'F'.
Side D'E' is 8 times the length of side DE.
What is the area of D'E'F', compared to the area of DEF?
A. The area of D'E'F' is 1/4 of the area of DEF
B. The area of D'E'F' is 1/16 of the area of DEF
C. The area of D'E'F' is 4 times the area of DEF
D. The area of D'E'F' is 16 times the area of DEF
3. ABC undergoes a dilation, with a scale factor of 3, to form A'B'C'.
Side A'B' is 3 times the length of side AB.
What is the area of A'B'C', compared to the area of ABC?
A. The area of A'B'C' is 1/3 of the area of ABC
B. The area of A'B'C' is 1/9 of the area of ABC
C. The area of A'B'C' is 3 times the area of ABC
D. The area of A'B'C' is 9 times the area of ABC
Answers
2. C
3. I think B
area of triangle is = 1/2 * base * altitude
1- each side is made 8 times
so the net change in area is 64 times
The area of A'B'C' is 64 times the area of ABC
2- each side is made 4 times
so the net change in area is 16 times
The area of D'E'F' is 16 times the area of DEF
3- each side is made 3 times
so the net change in area is 9 times
The area of A'B'C' is 9 times the area of ABC
a storage tank has the dimensions shown below how many storage tanks are needed to contain 60000 cubic meters of liquid
Answers
R = pi (r)^2h
R = pi (15.21)(12.4)
R = 592.5169408
60,000 / R = 101.2629275
102 storage tanks
In the figure, AB is a diameter of circle C, D is the midpoint of AC, and E is the midpoint of AD. How does the circumference of circle E compare to the circumference of circle C? Complete the explanation. The circumference of circle E is______ the circumference of circle C because the radius of circle E is _______ the radius of circle
Please answer ASAP
Is the answer 1/4 and 1/4?
Answers
Answer:
1/4 and 1/4
Step-by-step explanation:
I got it correct and you also stated it.
What is the answer and I don’t know what to do
Answers
(5-3)^2
(2)^2
4
( h-3)2
(5-3)2
2^2
4
Select the statement that best justifies the conclusion based on the given information. Conclusion: l1 and l 2 intersect only at point P. A line contains at least two points. Through any two different points, exactly one line exists. If two lines intersect, then their intersection is exactly one point. If two lines intersect, then exactly one plane contains both lines.
Answers
If two lines intersect, then their intersection is exactly one point
Explanation:
Let's take a look at the choices:
Choice A: A line contains at least two points.
The statement is true. However, it is not related to intersection between lines. Therefore, this choice is wrong
Choice B: Through any two different points, exactly one line exists
This postulate is true. However, it does not relate directly to the intersection between lines. Therefore, this choice is wrong
Choice C: If two lines intersect, then their intersection is exactly one point.
This statement is known as theorem 1-1. It describes the intersection between two lines.
Therefore, this statement is correct.
Choice D: If two lines intersect, then exactly one plane contains both lines.
The conclusion given is related to points created due to intersection between lines. This option is therefore excluded as it describes planes.
Hope this helps :)
Answer:
If two lines intersect, then their intersection is exactly one point.
Step-by-step explanation:
what is the sum of the finite arithmetic series ? 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)
Answers
Good luck :)
[tex]\text{Consider the sum of the finite arithmatic series}\\ \\ 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)\\ \\ \text{We know that the sum of the finite arithmatic series }\\ \\ a_1,a_2, a_3, ..., a_n \text{ is given by the formula}\\ \\ S_n=\frac{n}{2}\left ( a_1+a_n \right )\\ \\ \text{here in the given series, we can see that }a_1=7.6, \ a_n=-1.5 \text{ and}\\ \text{the number of terms is, }n=8. \text{ so using above formula, we get}[/tex]
[tex]S_8=\frac{8}{2}\left ( 7.6+(-1.5) \right )\\ \\ =4\left ( 7.6-1.5 \right )\\ \\ =4\left ( 6.1 \right )\\ \\ =24.4[/tex]
Hence the sum of the finite Arithmetic series is: 24.4
PLEASE HELP!
The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain. (5 points) 3/4(0.7c) = 42
Answers
Yes, the equation provided can be used to calculate the original price of the phone case. After solving the equation, we found out that the original price of the phone case was approximately $80.
Explanation:Yes, the equation you provided, 3/4(0.7c) = 42, can certainly be used to find the original price of the phone case (c). The equation is obtained by recognizing that you're receiving two discounts: a 30% or 0.3 discount off the original price (leaving 70% or 0.7 of the original price) and then a 25% or 0.25 discount (meaning you're paying 75% or 0.75 of the price after the first discount).
To find the original price, you want to solve this equation for 'c'. That would involve dividing both sides by 3/4(0.7) equaling to 0.525. So, it will look like: 42 ÷ 0.525 = c. Doing the calculation, c equals approximately $80.
Therefore, the original price of the phone case was $80.
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The length of cherries vegetable garden is 6.56 meters. The width of the garden is 6.6 meters. What is the answer
Answers
....................................................................
a small fictional country had a population of 2,254,000 people in the year 2000. if the population grows steadily at a rate of 3.5% each year, what is the expected population of this country in the year 2015 to the nearest 1000?
Answers
2,254,000 times .035 = 78890 new people per year
78890 times 15 years= 1183350 new people in 15 years
2254000+1183350= 3437350 total people in 2015
rounded to the nearest 1000= 3,437,000
Describe the differences between vertical and adjacent angles
Answers
and adjacent lines are 2 angles that have a common endpoint and common sides
Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots square root of 5 and 2?
Answers
Answer:
the polynomial is: 3x^2-21x+30
Step-by-step explanation:
go it right on edge
A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as f(x) = 3(x - 2)(x - √5).
Explanation:A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as:
f(x) = 3(x - 2)(x - √5)
To find the polynomial function, we use the fact that the roots of a polynomial are the values of x for which the polynomial is equal to zero. Since the leading coefficient is 3, we multiply the expression (x - 2)(x - √5) by 3 to obtain the polynomial function.
In this case, the polynomial function of lowest degree is a quadratic function.
Rewrite the following equation in slope-intercept form. 10x − 17y = -12 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
y = (10/17) x + (12/17)
Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
10x - 17y = -12
To put this in slope-intercept form, we need to isolate the y as follows:
10x - 17y = -12
17y = 10x + 12
y = (10/17) x + (12/17)
where:
m is the slope = 10/17
c is the y-intercept = 12/17
Hope this helps :)
10x = -12
X = -12/10 = -6/5
X=0
-17y=-12
Y= 12/17
Four friends share 3 apples equally. what fraction of an apple does each friend get
Answers
This would be 1/4 * 3, or 3/4 of an apple.
What’s 5/9 rounded to the nearest half
Answers
Hope this helped☺☺
The round off to nearest half is 1/2.
What is Round off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
The fraction = 5/9.
Now, rounded to the nearest half is 1/2
we know 9 halved value is 4.5 which is much closer to 5.
So, we can write it as 5/10 = 1/2.
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