Answer:
3.15 ft
Step-by-step explanation:
V
Volume of a cylinder: πr²h. Solving for r², we get r² = ---------
πh
Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or
1.58 ft, so that the diameter is 2r, or 3.15 ft
The diameter of the base of the cylinder is 3.15 ft.
find the mean median and mode. 63, 40, 51, 70, 36, 21, 51, 28, 19
The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The data is given below.
63, 40, 51, 70, 36, 21, 51, 28, 19
Arrange the data in ascending order, then we have
19, 21, 28, 36, 40, 51, 51, 63, 70
Then the mean of the data is given as,
Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9
Mean = 379 / 9
Mean = 42.11
The median of the data is the middle term of the data which is 40.
The mode is 51 because the number frequency of 51 is the highest.
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Solve the equation: 7(x + 8) = 49
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
Hope this helps
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When the sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14. Determine whether each step is a correct step for writing and solving this equation by selecting Yes or No. A Write the equation 3n + 4 + 6 = 2n – 14. Yes No B Write the equation 3(n + 4) + 6 = 2(n – 14). Yes No C Combine like terms. Yes No D Subtract 2n from each side. Yes No E Add 10 to each side. Yes No F Subtract 10 from each side. Yes No
Answer:
A. Yes
B. No
C. Yes
D. Yes
E. No
F. Yes
Step-by-step explanation:
A Write the equation 3n + 4 + 6 = 2n – 14. Yes
B Write the equation 3(n + 4) + 6 = 2(n – 14). No
C Combine like terms. Yes
D Subtract 2n from each side. Yes
E Add 10 to each side. No
F Subtract 10 from each side. Yes
Solution:
sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14
Let the number = n
{(3 * n) + 4} + 6 = (2 * n) - 14
3n + 4 + 6 = 2n - 14
3n + 10 = 2n - 14
3n + 10 - 2n = 2n - 14 - 2n
n + 10 = -14
Subtract 10 from each side
n + 10 - 10 = -14 - 10
n = -24
Answer: A. Yes B. No C.Yes D. Yes E. No F. Yes
Step-by-step explanation:
u get brainlyist if quick
Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2
Answer:
A. 1
Step-by-step explanation:
just plug it in here
3y = 1 + 2
3y = 3
y = 1
NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
Mean=
36/5=7.2
Median=8
Step-by-step explanation:
mean=add all the numbers/divide by how many
13+12+8+2+1=36
5 numbers altogether hence,
36/5=7.2
median=arrange all numbers and middle term is the median(for odd numbers only)
13,12,8,2,1
Hence,8 is the middle term
Hope this helped xx
Need Help Need Help Pls
Part A: Create a scatter plot to represent the data shown above. Sketch the line of best fit. Label at least three specific points on the graph that the line passes through. Also include the correct labels on the x-axis and y-axis. Part B: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer. Part C: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.
It is to be noted that the scatter plot that represent the above data is attached accordingly.
What is a scatter plot?A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.
Remember Scatter plot is a type of x-y graphX is the horizontal line and will be the AgeY is the vertical lien and will be Weight
What is the Algebraic equation of the best fit line in slope-intercept form? [Part B]
Slope-intercept form is y = mx + b
m is the gradient of the line, determined by calculating "change of y divided by change of x"
Age 2 and weight 32 would be the point (2, 32) on the graphAge 8 and weight 60 is the point (8, 60) in the graphTo compute for the gradient (m) we say:
(60 - 32)/(8-2)
= 28/6
m = 4.667
Next we calculate for b
The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).
Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.
That is:
32 = m(2) + b
Recall that m = 4.667
Hence 32 = 4.667 * 2 + b
32 = 6.667 + b
b = 32 - 6.667
b = 25.33
Using the equation for the line of best fit what is the approximate weight of the little girl at an age of 14 years old? [Part C]Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that
If x = 14 years, then
y = 4.667 * 14 + 25.33
y = 90.668
y ≈ 91 kg.
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Are the vectors u1→=<2,3>and u2→=<-3,-2>parallel? Show your work and explain.
Answer:
Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.
Step-by-step explanation:
The requried given vectors are not parallel. As their dot product is not zero.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.
Let k be the scalar multiple such that:
u₁ = k u₂
Substituting the given values of u₁ and u₂, we get:
<2, 3> = k <-3, -2>
Multiplying both sides by -1, we get:
<-2, -3> = k <3, 2>
Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.
We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:
u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12
Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.
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A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44
The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.
Answer:
Kindly check explanation
Step-by-step explanation:
The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.
In the scenario above, the median = 29
The upper quartile = 38
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When creating a coordinate plane, which direction does the y-axis lay?
Group of answer choices
diagnol
none of the above
vetical
horizontal
Which sentence is true about quadrilaterals?
Group of answer choices
All squares are rectangles.
All rectangles are rhombi.
All rectangles are squares.
All rhombi are squares.
What kind of triangle has exactly 2 congruent sides?
Group of answer choices
right
isosceles
scalene
equilateral
What is the name of the quadrilateral that has 1 and only 1 set of parallel sides?
Group of answer choices
trapezoid
square
rectangle
rhombus
Which of the following describes a triangle?
Group of answer choices
only 1 pair of parallel sides
no pairs of parallel sides
3 parallel sides
2 parallel sides
Answer:
#1 ) Vertical
#2) All rhombi are squares
#3) Isosceles
#4) Trapezoid
#5) No pairs of parallel sides
Hope this helps! Mark me brainliest if I'm right :)
What is the measure of the smallest angle in the
diagram?
15°
299
32°
45°
Answer:
15
Step-by-step explanation:
it all comes down to 7x-1
then set that equal to 106 so it looks like 7x - 1 =106
106 - 1 = 105
105/7 = x
x = 15
good luck on your test
Answer:
Step-by-step explanation:
3-2i+8=23 can you solve this find what i equals
Answer:
i = -6
Step-by-step explanation:
3 - 2i + 8 = 23
3 + 8 - 2i = 23
11 - 2i = 23
11 - 11 - 2i = 23 - 11
-2i = 12
-2i ÷ -2 = 12 ÷ -2
i = -6
Sora was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41
How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.
Answer:
The outlier made the mean lower than all the other values.
Step-by-step explanation:
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 = 114
Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9
the mean with the outlier is lower than any of the numbers
Answer:
C
Step-by-step explanation:
Can someone summarize this for me please?
Answer:
0 is 16 1 is 13 2 is 17 that's it final answer
What is the probability that you will randomly land on a BLUE section?
Write your answer in a simplified fraction, using a "/" to separate the numerator and denominator.
Answer:
2/8. or simplified= 1/4
Step-by-step explanation:
A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?
Answer:
2.67 feet long
Step-by-step explanation:
Create a proportion where x is the length of the parking meter's shadow:
[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]
Cross multiply and solve for x:
23.9x = 63.72
x = 2.67
So, the parking meter's shadow is approximately 2.67 feet long
The price of an item has been reduced by 35%. The original price was $17.
Find the price now
What expression is equivalent to -2 (5x - 4) + 13x
What expression is equivalent to -2 (5x - 4) + 13x
=3x+8
Leon is going to toss two number cubes, each labeled 1-6. What is the probability that Leon will toss a sum of 6? 1 /1 2, 1/6, 1/9, or 5/36
Answer:
Step-by-step explanation:
5/36
This scatter plot shows the relationship between the average weight and average heart rate for 11 different animals. The line of best fit is shown on the graph. Select True or False for each statement based on the graph.
Answer:
See below
Step-by-step explanation:
1) I would lean more toward false because most of the points aren't in a straight line
2) That is most likely true because the line of best fits appears to be hitting that point
3) That is false because point D is located on the line of best fit which means it isn't an outlier
14523 round to nearest 10
Answer:
14520
Step-by-step explanation:
Create a data set with at least 7 values so that the mean is 20.
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Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
Find tan(a) in the triangle.
Choose 1 answer:
A. 7/25
B. 24/25
C. 7/24
D. 24/7
Tan(a)= Toa
Toa =opposite/adjacent
Toa=7/25
final answer is 7/25
Answer: 24/7
this is the answer enjoy
When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n
asap! please help i’ll give brainliest
well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.
Hope that helped pls give brainlist
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturers records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
a: 40
b: 120
C: 192
D: 200
Answer:
D: 200
Step-by-step explanation:
Given that
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be the repaired
So we need to find the number of DVD players were repaired in this 960 players
So
= 960 × 5 ÷ 24
= 200 players
Hence, the option is d.
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Answer: 0.086x
Step-by-step explanation:
Since the trend line starts at the origin, there is no y-intercept. To calculate the slope, divide the change in y over change in x. Since one of our points is the origin, we can just divide the y value by the x value, or 1.38 by 16, to get 0.08625. Rounded to the nearest thousandth, we get a slope of 0.086.
A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos
Responder:
A) 1 ano
Explicação passo a passo:
Tempo máximo de tela = 3 horas / dia
Número de anos entre 11 e 18 anos = 8 anos
Vamos calcular o número de tempo de tela em um ano:
Número de dias em um ano = 365
Horas de uso em um ano:
3 horas / dia * 365 dias = 1.095 horas
Horas de uso em 8 anos:
1.095 horas * 8 = 8.760 horas
Convertendo o número de horas em anos:
Número de horas em um ano:
24 horas * 365 dias = 8760 horas por ano
Anos de tempo na tela:
Número de horas em 8 anos / número de horas em um ano
8760/8760 = 1 ano
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
what is the y intercept of . y = ½x -5
Answer: (0, 10) or 10
Step-by-step explanation:
plug 0 into y
(0) = 1/2x - 5
1/2x - 5 = 0
+ 5 + 5
1/2x = 5
* 2 * 2
x = 10
Will the product of two numbers with opposite signs have a negative or positive answer?
Answer:
The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.
Step-by-step explanation: