Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line plot shown below
Answers
Answer: The answer is 7 3/4 :)) <3 have a good day.
The amount of juice left by the three students is (31/4) ounces.
What is dot plot?A dot plot, also called a dot chart, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins.
Given is that Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast.
The total juice left by 3 students is equivalent to -
{x] = 2 x {2[tex]\frac{1}{4}[/tex]} + 3[tex]\frac{1}{4}[/tex]
{x} = 2 x 9/4 + 13/4
{x} = 18/4 + 13/4
{x} = 31/4
Therefore, the amount of juice left by the three students is (31/4) ounces.
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Related Questions
What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5
Answers
Answer:
The answer is option B.
y = 1/8x² + 5
Hope this helps you
Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction
Answers
Answer:
[tex]\frac{r^{15}}{512}[/tex]
Step-by-step explanation:
Given
[tex](8r^{-5})^{-3}[/tex]
Required
Simplify
This can be simplified using the following law of indices;
[tex](ab)^n = a^{n}b^{n}[/tex]
The equation becomes
[tex](8^{-3})(r^{-5})^{-3}[/tex]
Express [tex]8^{-3}[/tex] as a fraction
[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]
Simplify [tex]8^3[/tex]
[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]
The expression can further be simplified using the following law of indices;
[tex](a^m)^n = a^{mn}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes
[tex](\frac{1}{512})(r^{-5*-3})[/tex]
[tex](\frac{1}{512})(r^{15})[/tex]
[tex]\frac{r^{15}}{512}[/tex]
Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]
Answer:
D
Step-by-step explanation:
Use the following data set to find the sample statistics for the following data set. 1. (N) or (n) 2. (x-bar) or (μ) 3. (σ) or (s) Thanks!
Answers
Answer:
(1) N or n = 20
(2) [tex]\bar X \text{ or } \mu[/tex] = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
We are given with the following data set below;
{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}
(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.
(2) The formula for calculating Mean of the data, i.e. [tex]\bar X \text{ or } \mu[/tex] is given by;
Mean = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{51 +48+ 42+ 43+48+48+ 46+ 15+ 29+ 45+ 47+ 55+ 46+ 35+ 47+ 48+ 54+ 26+ 53+ 42}{20}[/tex]
= [tex]\frac{868}{20}[/tex] = 43.4
So, the value of [tex]\bar X \text{ or } \mu[/tex] is 43.4.
(3) The formula for calculating population standard deviation ([tex]\sigma[/tex]) is given by;
Standard deviation, [tex]\sigma[/tex] = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{N} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20} }[/tex]
= 9.78
Similarly, the formula for calculating sample standard deviation (s) is given by;
Sample Standard deviation, s = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20-1} }[/tex]
= 10.04
Which inequality is equivalent to \-41 <9?
0-9 > X-4 < 9
-9 < x-4 < 9
O X-4<-9 or x – 4 < 9
hry 4 > -9 or x - 4<9
Answers
Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$
Answers
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}[/tex]
All Done!
Answer:
Your correct answer is 8.660254
Step-by-step explanation:
√2√82 + 152 + √92 + 402 = 8.660254
Which point is a solution of x + 2y ≤ 4?
Answers
Answer:
0 = x, y = 2.
Or x = 2 and y = 1.
Step-by-step explanation:
≤ means less than or equal to.
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8
Answers
Answer:
the second description and and expression is correct
Step-by-step explanation:
the first one is wrong because it says 7 minus while it should be minus 7
nine times the difference of a number cubed and three; 9(n³-3)
Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.
Given :
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
9 times the difference of a number cubed and three; 9(n³-3)
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
twice the difference of a number cubed and eight; 2 n³- 8
To Find: Which description is paired with its correct expression
Solution:
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
Correct Expression is -7 + (2/n²) + 6
nine times the difference of a number cubed and three; 9(n³-3)
Expression is Correct
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
Correct Expression is 8 + (n²/4) - 7
twice the difference of a number cubed and eight; 2 n³- 8
The correct expression is 2( n³- 8)
Hence the correct answer is :
nine times the difference of a number cubed and three; 9(n³-3)
Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.
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Mr. Maddox asked four students to create a number line to help find the sum of the fractions. Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction Which number line would be best to find this sum?
Answers
Answer:
First choice
Step-by-step explanation:
Sum of fractions:
-7/10 + 4/10= - 3/10
the interval required on the line from the left of - 7/10 to the right of -3/10
Which number line would be best to find this sum?
-8/10 to 0
yes, this is good as covers the interval from -7/10 to - 3/10
-3/10 to 3/10
no, it doesn't include the left half of required section
4/10 to 11/10
no, it doesn't include the required interval
0 to 15/10
no, it doesn't include the required interval
Answer:
A
Step-by-step explanation:
solve:
|3x+ 2| > 14
show work
Answers
Answer:
x < -16/3 or x > 4
Step-by-step explanation:
This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.
3x + 2 > 14
3x > 12
x > 4
-(3x + 2) > 14
3x + 2 < -14
3x < -16
x < -16/3
Answer:
[tex]x > 4[/tex]
Step-by-step explanation:
Move the constant to the right-hand and change its sign:
[tex]3x > 14 - 2[/tex]
Subtract the number:
[tex]3x > 12[/tex]
Divide both sides of the inequality by 3:
[tex]3 \div 12 = 4[/tex]
Therefore, the answer will be x > 4.
Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.
Answers
Answer:
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
rectangle
pentagon
pentagon
pentagon, hexagon ,heptagon
pentagon, quadrilateral, or triangle
PLEASE HELP GUYS ILL REWARD BRAINLIEST
Answers
Answer:
Step-by-step explanation:
(2,6)
Answer:
The solution of the two equations is where both lines intersect
From the graph they intersect at point
(6,2)
So the solution is x = 6 y = 2
Hope this helps you
An angle is formed by: A. Two rays that share the same endpoint B. Parallel lines C. Any two rays D. Any ray and any line
Answers
Answer:
Step-by-step explanation: The answer is A because the two lines must intersect to form an angle take the letter L for example. Letter B is incorrect because Parallel means they don't touch kind of like these two L's: l l And C and D could mean anything meaning they could intersect or not which is an answer too broad for the question.
What is the surface area of a can that has radius of 9 ft. and height of 3 ft.? SA = __________ ft.2. Use 3.14 for pi. A. 678.2 B. 458.6 C. 354.3 D. 292.0
Answers
Answer:
678.2
Step-by-step explanation:
To find the surface area you need to use the expression [tex]2\pi rh + 2\pi r^2[/tex]
When you substitute the numbers in you get 678.24
The surface are of the can that has radius of 9 ft. and height of 3 ft is 678.2 ft².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the can is the sum of the area of the bases of the can and the lateral surface area of the can. Therefore, the total surface area of the can is,
The surface area of can = 2(Area of base) + Lateral surface area of can
= 2(πr²) + 2πrh
= 2[π×(9 ft)²] + (2 × π × 9ft × 3ft)
= 508.8 ft² + 169.4 ft²
= 678.2 ft²
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Which set of ordered pairs below is a function?
I.{(3,3),(6,1),(2,3)} .................. II.{(4,7),(2,8),(4,2)} .............. III.{(9,6),(3,1),(7,3)}
(((((((A I only )))))))) ((((( B II only ))))))) ((((((( C III only)))))) (((D I and III))))
Answers
Answer:
C
Step-by-step explanation:
On which number line do the points represent negative seven and one over two and +1? Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of 0.
Answers
Answer:
A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers
I hope that is what your asking...
Answer:
On which number line do the points represent negative seven and one over two and +1? The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of
Step-by-step explanation:
65.
Evaluate a-b+c for?
Answers
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
a = 4 1/5 (also can be turned into 21/5)
b = 2 7/20 (also can be turned into 47/20)
c = 3 1/4 (also can be turned into 13/4)
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answers
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer
I only need help step by step solution for question#40 and #44
Answers
the link is not working :(
Determine the slope of the following equation: 2y -4x = 9
Answers
How is the graph of y = 2 (3)^x+1 -4 translated from the graph of y = 2(3)^x
Answers
Answer:
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up ----------------------------------------------------------------------------
Answer: shift the graph of y = 2(3)ˣ one unit right and four units up.
Can someone please Simplify -|-5 + 2|
Answers
Answer:
_|_5+2|
=_|_3|
=_3
is answer.
A cube has an edge length of 13 feet. What is its volume, in cubic feet?
Answers
Answer:
V =2197 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
V = 13^3
V =2197 ft^3
Answer:
Volume = 2197ft³
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
Answers
Answer: 39 Pennies
Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.
Find the volume of a pyramid with a square base, where the side length of the base is
15.3 m and the height of the pyramid is 19.6 m. Round your answer to the nearest
tenth of a cubic meter.
Answers
Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Answer: 1529.4
Step-by-step explanation:
john and peter started jogging from the same place at the same time, but in opposite directions along a straight road. After jogging for 3 hours, they were 27 km apart. If john's average speed was 6 km/h, what is peters speed?
Answers
Answer: 3km/h
Step-by-step explanation:
Johns average speed was 6km/h, so in 3 hours he traveled 18 km. 27-18=9, so Peter ran 9 km in 3 hours. 9/3 = 3, so his average speed was 3km/h
Answer:
3 km/h
Step-by-step explanation:
Distance = speed x time
The distance apart equals to the sum of the distance that John jogged, and the distance that Peter jogged since they go opposite directions.
Hence,
let v be peter's speed
27 = 6x3 + vx3
27 = 18 + 3v
27-18 = 3v
9 = 3v
v = 9/3
v = 3 km/h
Miracle Maid Service charges a $30 house visit fee plus $5 per room to clean a house. What is the independent variable? A) The price per room B) The number of rooms C) The house visit fee D) The Miracle Maid Service
Answers
Answer:
B
Step-by-step explanation:
The independent variable is the variable who's variation doesn't depend on the other. Therefore the answer is B because the amount of rooms doesn't depend on the charge, the charge depends of the amount of rooms.
Solve the system of equations: y²-x²=16, x²-y²=16 (explain and show work) Will name most brainy
Answers
=====================================================
Explanation:
Rearrange the first equation into [tex]-x^2+y^2 = 16[/tex]
So we have this equivalent system
[tex]\begin{cases}-x^2+y^2 = 16\\\\x^2-y^2=16\end{cases}[/tex]
If you add the terms straight down, then you'll find that the x^2 and y^2 terms add to 0. The right hand side terms add to 16+16 = 32
We are left with the equation 0 = 32, which is a false equation or contradiction. Therefore, there are no solutions. We say the system is inconsistent. The two graphs do not intersect at all as shown in the diagram below. We have two hyperbolas in which the branches extend off to infinity to slowly approach the asymptotes. They never actually get to the asymptotes, but only get closer.
Compare the fractions.
Use <,=,or>. 1/3 4/6
Answers
Answer:
1/3 < 2/3
Step-by-step explanation:
1/3 compared to 4/6
Simplify 4/6 by dividing the top and bottom by 2
4/5 = 2/3
Since the denominators are the same we compare the numerators
1/3 < 2/3
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
Answers
Answer:
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Step-by-step explanation:
least of 3 consecutive integers is a, and the greatest is z
if a is the least one
we know that integers differ by value of 1.
example -2, -1, 0, 1,2
they all differ by
then next consecutive integer will be a+1
third integer will be second integer +1 = a+1 + 1 = a+2
Thus, 3 consecutive integer
a , a+1, a+2
but given that greatest is z
thus, a+2 is greatest and hence
a+2 = z
we have to find value of a + 2z/ 2 in terms of a
a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Translate into an algebraic expressions: x is increased by 50% and decreased by 30% . What is the result?
Answers
Answer: 1.05x
Step-by-step explanation:
From the question, we are informed to translate into an algebraic expressions: x is increased by 50% and decreased by 30%. This will be calculated thus:
Firstly, we'll increase x by 50%.
= x + (50% of x)
= x + (0.5 × x)
= x + 0.5x
= 1.5x
Then, we'll decrease 1.5x by 30%. This will be:
= 1.5x - (30% × 1.5x)
= 1.5x - (0.3 × 1.5x)
= 1.5x - 0.45x
= 1.05x
The answer is 1.05x.
Answer:
1.05x
Step-by-step explanation: