Answer:
mean is 82, Median is 84, mode is 81
Step-by-step explanation:
The mean of the given data set is 82, median is 84 and mode is 81.
The given data set is 81, 87 93, 89, 61, 81.
What is the median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Now, the ordered pair is 61, 81, 81, 87, 89, 93.
Median = (81+87)/2
=168/2
=84
Mean = Sum of all the observations/Number of observations
= (61 + 81 + 81 + 87 + 89 + 93)/6
= 492/6
= 82
Mode = The mode is the value that appears most frequently in a data set.
Here, 81 is the most frequently in the given data set.
Therefore, the mean of the given data set is 82, median is 84 and mode is 81.
To learn more about the arithmetic mean visit:
https://brainly.com/question/23706022.
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which graph best models y>2x-4
Answer:the answer is the first graph
(0,-4) with a slope of 2
Step-by-step explanation:
-2 + 0.4x = -0.2(4x+22)
solve
25 yd. 4 in. Divided by 8
Answer:
113 inches or 3.13889 yards
If 3 times the difference of x and y is -30, and 2/3 of x plus 1/2 of y is 19, what are x and y
Answer:
x = 12 and y = 22
Step-by-step explanation:
It is given that,
3 times the difference of x and y is -30
3(x-y) = -30
3x-3y = -30 ....(1)
2/3 of x plus 1/2 of y is 19.
[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]
Add equation (1) and (2).
3x-3y + 4x+3y = -30 +114
7x = 84
x = 12
Put the value of x in equation (1)
3x-3y = -30
3(12)-3y = -30
36+30 = 3y
3y = 66
y = 22
Hence, the value of x and y are 12 and 22.
Evaluate 32 divided by 1.6
show work long division
Answer:
[tex]20[/tex]
Step-by-step explanation:
[tex]-----------------------------------[/tex]
[tex]\frac{32}{1.6}[/tex] = [tex]\frac{16}{0.8}[/tex] = [tex]\frac{8}{0.4}[/tex] = [tex]\frac{4}{0.2}[/tex] = [tex]\frac{2}{0.1}[/tex]
[tex]-----------------------------------[/tex]
[tex]Since[/tex] [tex]you[/tex] [tex]could[/tex] [tex]divide[/tex] [tex]it[/tex] [tex]to[/tex] [tex]0.1[/tex], [tex]just[/tex] [tex]switch[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]with[/tex] [tex]the[/tex] [tex]0[/tex] [tex]and[/tex] [tex]take[/tex] [tex]away[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]point.[/tex] [tex]You[/tex] [tex]will[/tex] [tex]get[/tex] [tex]10[/tex]. [tex]Lastly[/tex], [tex]change[/tex] [tex]the[/tex] [tex]division[/tex] [tex]to[/tex] [tex]multiplication.[/tex]
( Remember that this does not apply to all equations. )
[tex]-----------------------------------[/tex]
[tex]When[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]10\cdot2[/tex], [tex]you[/tex] [tex]get[/tex] [tex]20.[/tex] [tex]Which[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]
[tex]-----------------------------------[/tex]
Hope this helps! <3
[tex]-----------------------------------[/tex]
Triviaaaa for you smart people, is Sixteen times some number equals 60, an equation or expression?
Answer:
an equation
Step-by-step explanation:
this is because there is an unknown value (some number)
I need this answered soon please!
Answer:
its B
Step-by-step explanation:
simplify the radical by breaking the radicand up into the product of known factors.assuming real numbers
Anita incorrectly wrote z =w-18 to describe the pattern in the table. Choose the best description of Anitas error
Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
Degree of Certainty
credits earned very uncertain Somewhat Certain very certain Row tot
under 10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 2.47
B. 14.56
C. 2.00
D. 11.09
This question is incomplete, the complete question is;
Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
credits earned very deg.of certainty very Row Total
uncertain somewhat certain certain
under10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 12.47
B. 14.56
C. 2.00
D. 11.09
Answer:
Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
Step-by-step explanation:
Given the data in table in the question;
the expected frequency in the upper left cell will be;
Eij = (Ti × Tj) / N
Row total Ti = 38
Column total Tj = 42
Total frequency N = 128
so we substitute
Eij = (38 × 42) / 128
= 1596 / 128
= 12.468 ≈ 12.47
Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
COLOR THEME
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ADD NOTE
QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
Ο Ο Ο Ο
80 in.
25 in.
CLEAR ALL
REVIEWS
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its
Answer:
30 inches
Step-by-step explanation:
240/20=12
12x2.5=30
Answer:
30 inches jrjdbdbrbejjr
Find the value of 7C7
Step-by-step explanation:
If there were 7 items, the number of ways to choose 7 out of the 7 items is only 1 way, which is to get all of them.
=> 7C7 = 1.
WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:
Answer:
Right
Step-by-step explanation:
Trust me
Answer:
lion
Step-by-step explanation:
you multiply what is outside the parenthesis to everything inside the parenthesis
plz help!! will give brainliest!!
An 18% commission on a video game sale is $63.81. How much is the video game?
Answer:
$11.49
Step-by-step explanation:
Type the expression that results from the following series of steps:
Start with n and divide by 2.
The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0
9 1/12 = k/9 Solve for K
Identify the graph that displays the depth of water in a swimming pool after the drain is opened.
Answer:
option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.
Answer:
b
Step-by-step explanation:
Can someone please help me :(
Answer:
1
Step-by-step explanation:
2x + 1 = -3x + 6
add 3x
5x + 1 = 6
subtract 1
5x=5
Divide by 5
x=1
If this is correct, please mark brainliest!
Answer:
x=7
Step-by-step explanation:
2x + 1 = 15
-3x+6 = - 15
Since they are equal the equation is true
dy÷dx=(x-1)(x+3) at x=2 first principal
Answer:
δy
δx = 2x − 4 + δx;
and the limit as δx → 0 is
dy
dx = lim
δx→0
µδy
δx¶
= 2x − 4.
Step-by-step explanation:
dy/2d=(2-1)(2+3)
dy/2d=4+6-2-3
dy/2d=5
dy=5(2d)=10d
2d=5/dy
dy=5×(5/dy)= 25/dy
2d=5/dy
dy^2=25
dy=√25=5
2d=5/dy=5/5=1
d=1/2
dy=1/2×10=5 y=10
plug all of the values
5/(1/2×2)=5
=
4+6-2-3=5
so finally: 5=5
any questions?
Line B crosses through the points (3,1) and (-3,-1). Using those two points, find the slope of line B.
help again again again
Answer:
it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up
CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
Amelia is correct.
According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.
The roots to a parabola are 2 and -3. What is one
possible equation for this parabola
Answer:
x^2+x-6
Step-by-step explanation:
i did a thing
hope this is correct and helps
Answer:
[tex]y = x^2 + x - 6[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a parabola to find a possible equation.
Factored Form: [tex]y = a(x - h)(x - k)[/tex]
h and k are rootsSince the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.
Find the Equation[tex]y = a(x - h)(x - k)[/tex][tex]y = 1(x - 2)(x +3)[/tex][tex]y = 1(x^2 + x - 6)[/tex][tex]y = x^2 + x - 6[/tex]One possible equation is [tex]y = x^2 + x - 6[/tex].
[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(
Answer:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]
Step-by-step explanation:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]
We can use Part I of the Fundamental Theorem of Calculus:
[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.
The Additivity Rule for Integrals states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.
[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.
The Order of Integration Rule states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.
[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.
When taking the derivative of an integral, we can follow this notation:
[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variableFor the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace
[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.
[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]Rearrange the terms to be in order from the highest degree to the lowest degree.
[tex]\displaystyle2x^5-8x^2+2x-2[/tex]This is the derivative of the given integral, and thus the solution to the problem.
Find sin θ. Right Triangle Trigonometry.
Answer:
A. 16/20
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ
Opposite Leg = 16
Hypotenuse = 20
Step 2: Find Ratio
Substitute [Sine]: sinθ = 16/20Answer:
A. 16/20
Step-by-step explanation:
The sine ratio is the opposite leg over the hypotenuse, opp/hyp.
For angle theta, the opposite leg is 16. The hypotenuse is 20.
sin (theta) = 16/20
Answer: A. 16/20
Slope from graph 2
Find the Slope!
Answer:
y= -4x+4
Step-by-step explanation:
so the slope is -4x
Answer:
5/2 is the slope
Step-by-step explanation:
Rise/Run= 5/2
so, slope=5/2
A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.
Answer:
quiz let or brainy helps me just look up the chapter question and you will get the answer
Step-by-step explanation:
hope this helps
f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.
Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -
y = f(x) = 11m
This is a linear relation and its graph will be a straight line passing through origin.
From this equation, we can make the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
Therefore, f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
To solve more questions on straight line graphs, visit the link below-
brainly.com/question/2954112
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An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?
Answer:
Approximately [tex]21.9\; \rm ft[/tex] (assumption: this tree is perpendicular to the ground.)
Step-by-step explanation:
Refer to the diagram attached (not drawn to scale.)
Label the following points:
[tex]\rm S[/tex]: stake in the ground.[tex]\rm A[/tex]: top of the tree.[tex]\rm B[/tex]: point where the wire is connected to the tree. [tex]\rm C[/tex]: point where the tree meets the ground.Segment [tex]\rm SB[/tex] would then denote the wire between the tree and the stake. The question states that the length of this segment would be [tex]24\; \rm ft[/tex]. Segment [tex]\rm AB[/tex] would represent the [tex]1.5\; \rm ft[/tex] between the top of this tree and the point where the wire was connected to the tree.
The question is asking for the height of this tree. That would correspond to the length of segment [tex]\rm AC[/tex].
If this tree is perpendicular to the ground, then [tex]\rm \angle A\hat{C}S =90^\circ[/tex]. Triangle [tex]\rm \triangle BCS[/tex] would be a right triangle with segment [tex]\rm SB[/tex] as the hypotenuse.
The question states that the angle between the wire (segment [tex]\rm SB[/tex]) and the ground (line [tex]\rm SC[/tex]) is [tex]58^\circ[/tex]. Therefore, [tex]\rm \angle A\hat{S}C = 58^\circ[/tex].
Notice, that in right triangle [tex]\rm \triangle BCS[/tex], segment [tex]\rm BC[/tex] is the side opposite to the angle [tex]\rm \angle B\hat{S}C = 58^\circ[/tex]. Therefore, the length of segment [tex]\rm BC\![/tex] could be found from the length of the hypotenuse (segment [tex]\rm SB[/tex]) and the cosine of angle [tex]\rm \angle B\hat{S}C = 58^\circ\![/tex].
[tex]\displaystyle \cos\left(\rm \angle B\hat{S}C\right) = \frac{\text{length of $\mathrm{BC}$}}{\text{length of $\mathrm{SB}$}} \quad \genfrac{}{}{0em}{}{\leftarrow\text{opposite}}{\leftarrow \text{hypotenuse}}[/tex].
Rearrange to obtain:
[tex]\begin{aligned}& \text{length of $\mathrm{BC}$} \\ &= (\text{length of $\mathrm{SB}$}) \cdot \cos\left(\angle \mathrm{B\hat{S}C}\right)\\ &= \left(24\; \rm ft\right) \cdot \cos\left(58^\circ\right) \approx 20.35\; \rm ft\end{aligned}[/tex].
In other words, the wire is connected to the tree at approximately [tex]20.3\; \rm ft[/tex] above the ground.
Combine that with the length of segment [tex]\rm AB[/tex] to find the height of the entire tree:
[tex]\begin{aligned}&\text{height of the tree} \\ &= \text{length of $\mathrm{AC}$} \\ &= \text{length of $\mathrm{AB}$} + \text{length of $\mathrm{BC}$}\\ &\approx 20.35\; \rm ft + 1.5\; \rm ft \\ &\approx 21.9\; \rm ft\end{aligned}[/tex].
Evaluate the following expression.
(-5+7 x 1)-9x5
Answer:
Step-by-step explanation:
43