Answer:
a. median is 8
b. first quartile is 7
c. third quartile is 9.5
d. below
e. below
Step-by-step explanation:
7, 10, 10, 6, 7, 8, 8, 7, 9.
Place number in order least to greatest
6, 7, 7, 7, 8, 8, 9, 10, 10
a. What is the median?
The median is the middle number in a data set
number of terms in data set (n) + 1 / 2 =
9 + 1 / 2 = 10 / 2
6, 7, 7, 7, 8, 8, 9, 10, 10
The median is 8
b. What is the first quartile?
Q1 is the central point between the smallest score and the median
6, 7, 7, 7
since there is even number of data points you find the average,
7 + 7 / 2 = 14 / 2 = 7
c. What is the third quartile?
Q3 is the central point between the median and the largest score
8, 9, 10, 10
since there is even number of data points you find the average,
9 + 10 / 2 = 19 / 2 = 9.5
d. Draw a box plot of the data.
below
e. Write two conclusions about the data shown in the box plot.
There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)
Find the value of c 3-2(1 + 6c) = -35
Answer:
C = 3
Step-by-step explanation:
By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
The equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
How to determine the equivalent expression?The logarithmic expression is given as:
[tex]\log_c(\frac{x^2 - 1}{5x})[/tex]
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
[tex]\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)[/tex]
Hence, the equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
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please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.
⦁ Create a residual plot for your data.
⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
How to determine the residuals?The regression equation is given as:
y = 0.005x + 3.111
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.005 * 4 + 3.111 = 3.131
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 5 + 3.111 = 3.136
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 8 + 3.111 = 3.151
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 10 + 3.111 = 3.161
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 6 + 3.111 = 3.141
y = 0.005 * 6 + 3.111 = 3.141
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
y = 3.46 - 3.131 = 0.329
y = 2.78 - 3.126 = -0.346
y = 3.2 - 3.136 = 0.064
y = 2.8 - 3.126 = -0.326
y = 3.2 - 3.151 = 0.049
y = 2.9 - 3.186 = -0.286
y = 3 - 3.161 = --0.161
y = 3.4 - 3.186 = 0.214
y = 3.57 - 3.141 = 0.429
y = 3.2 - 3.141 = 0.059
Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
See attachment for the residual plot.
The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line
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i will mark as brainiest
Answer:
the answer to a is 70
the answer to b is 55
the answer to c is 15
A cooler measures 8 inches by 8 inches by 3 inches. What is the surface area of the cooler?
2
in.
Answer: 192?
Step-by-step explanation:
i just think that that is the answer. you get the surface area by multiplying all of them just how you get area
Can someone help me??
Answer:
9: 50
10: 90
11: 60
12: 25 and 115
13: 130 and 40
Thats all i can do, im sorry but i hope this helps ^^
. (x² − 8x + 20) ÷ (x − 4)
Answer:
Step-by-step explanation:
(x² − 8x + 20) ÷ (x − 4)
x - x²/4 - 8 - 8x/4 + 20/x - 20/5
x - x²/4 - 8 - 2x + 20/x - 4
-x - x²/4 + 20/x -12
...don't know, keep going
Can someone help me with this math problem?
see attached photo
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
How to determine the value of trigonometric reasons
In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.
If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:
sec θ = r/x
[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]
Then x = - 11, r = 6√11 and the value of y is:
[tex]y = \sqrt{r^{2}-x^{2}}[/tex]
y = 5√11
By trigonometric expressions we have this formula for sin 2θ:
sin 2θ = 2 · sin θ · cos θ
sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²
sin 2θ = [2 · (- 11) · (5√11)]/396
sin 2θ = - (5/18) · √11
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
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The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?
The solids have the same volume.
What is Volume?Volume is the measure of the capacity that an object holds.
Volume of triangular prism be
= Base area * height
= 12*10
=120 cm³
Volume of rectangular prism be,
=10*3*4
=120 cm³
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Evaluate and reduce:
Answer:
-31/8
Please mark me as brainliest
Pls helppp meee!!!!!
Plsss show your work
Answer:
Step-by-step explanation:
3x - 10 = 2x + 30
x - 10 = 30
x = 40
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The two lines shown in the figure intersects each other ~
Therefore,
3x - 10 = 2x + 30[ by vertical opposite angle property ]
Now let's solve for x :
[tex]\qquad \sf \dashrightarrow \:3x - 10 = 2x + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - 2x = 30 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 40[/tex]
Which of the following has the correct factored form AND the correct solutions for the quadratic equation? X^2-2x-3=0
The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
How to factor quadratic equation?The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast
Answer:
13,12,25
Step-by-step explanation:
Square root of 169 is 13.
Square root of 144 is 12
Square root of 625 is 25.
Answer:
[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]
Step-by-step explanation:
[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5.
Which expression represents the volume, in cubic units, of the frustum?
One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
find the measure of the angle
help me to give answer....
Just a little help :,(
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about
Answer:
the volume is about 84.8 in³
Step-by-step explanation:
Let b be the base of the cone
and h be the height of the cone
Formula :
Consider the cone with base b and height h
The volume = (1/3)×b×h
………………………………………………………
In our example:
b = 3.14×3^2 = 28.26
h = 9
Therefore
The volume = (1÷3)×(28.26)×9 = 84.78
Calculate 6 2/3 x 5
Fractions btw
Answer:
33 1/3
Step-by-step explanation:
divide 2/3 which is 0.66... then multiply that by 5 which is 3.33...
then multiply 6 times 5 which is 30, then add 30 and 3.33... which is 33.33...
in fraction form that is 33 1/3
sin0= 5/13. find tan 0
Answer:
C. 5/12
Step-by-step explanation:
Finding the missing side :
Opposite side² + Adjacent side² = Hypotenuse²(5)² + Adjacent side² = (13)²Adjacent side² = 169 - 25Adjacent side² = 144Adjacent side = √144Adjacent side = 12Taking the tan ratio :
tanθ = opposite side / adjacent sidetanθ = 5/12Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2
Please select the best answer from the choices provided
A
B
C
D
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
__
slopeThe x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
__
equationThe slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
_____
Additional comment
When answering multiple-choice questions, you only need to do enough work to tell which answers are not viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
I’m really confused please help me
========================================================
Explanation:
Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.
Each of the triangles are isosceles. Let x be the measure of the base angles.
Use the rule that adding the three angles of a triangle gets us 180
angle1+angle2+angle3 = 180
x+x+72 = 180
2x+72 = 180
2x = 180-72
2x = 108
x = 108/2
x = 54 is the answer
----------------------
Another way to get the answer:
i = interior angle of a regular polygon with n sides
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
Each interior angle of a regular pentagon is 108 degrees.
Angle x marked in blue is half that, so it is 108/2 = 54 degrees
----------------------
A third method:
E = exterior angle of a regular polygon with n sides
E = 360/n
E = 360/5
E = 72 degrees is the measure of each exterior angle
i = 180 - E
i = 180-72
i = 108 is the measure of each interior angle.
To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.
What graph represents the function g(x) = x +41 + 2?
Answer:
The Answer Above The Image
*
Between 10 A.M. and 11 A.M., 48 people came into Brad's store.40 of them
made a purchase. What is the number of favorable outcomes of people
who made a purchase?
Answer: The answer is 40 there are 40 favorable outcomes of people who made a purchase.
Step-by-step explanation:
Cordell Johnson purchased a snow blower for $237.00 and two bags of rock salt for
$3.15 each. What is the total purchase price if he lives in Maine where the sales tax
rate is 5%?
a. Total cost of all items?
b. Sales tax?
c. Total price with sales tax?
Answer:
a.240.15
Step-by-step explanation:
a.240.15
b.12.0075
c.252.1575
Find the measure of the arc.
A
1460
E
B
mBC = [ ? ]0
Answer:
see the attachment photo!
write down simplest ratio of 125ml and 5ml
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
PLEASEE
Solve
x=6
4x +y =20
Answer: y = -4
Step-by-step explanation:
4 (6) + y = 20
24 + y = 20
-24 -24
y = -4
Answer:
x = 6
y = -4
Step-by-step explanation:
Comment
You have 2 equations
x = 6
4x + y = 20
You already know what x is from the first equation.
All you need do is put 6 in for x in the second equation.
Solution
x = 6
4*6 + y = 20 Combine what you can on the left
24 + y = 20 Subtract 24 from both sides
24-24+ y = 20-24 Combine
y = - 4
Which of the following is an arithmetic sequence with common difference –5?
The arithmetic sequence that has a common difference of -5 from the options given is: A. 8, 3, -2, -7...
What is the Common Difference of an Arithmetic Sequence?The common difference of an arithmetic sequence is determined as: a term - previous term.
For the sequence, 8, 3, -2, -7,.. the common difference is:
-7 - 2 = -2 - 3 = 3 - 8 = -5.
Therefore, the arithmetic sequence with a common difference of -5 is: A. 8, 3, -2, -7...
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