Answer
Mean = 3.64
Median = 3
Explanation
The mean is the sum of variables divided by the number of variables.
Mean = (Σx)/N
Σx = sum of all the variables
x = each variable
N = number of variables
The mean is then calculated by summing up all the variables as can be obtained from the dotplot.
Σx = 0 + (1 × 5) + (2 × 4) + (3 × 3) + (4 × 4) + (5 × 2) + (6 × 3) + (8 × 2) + 9
= 0 + 5 + 8 + 9 + 16 + 10 + 18 + 16 + 9
= 91
N = 25
Mean = (Σx)/N = (91/25) = 3.64
2) Median is the variable that falls at the center of the distribution when the variables are arranged in increasing or decreasing order.
In the given dataset, there are 25 variables, so, the median will be the 13th variable, when the variables are arranged in order.
From the distribution, we can see that when the distribution is arranged in ascending order, the 13th variable = 3
Hope this Helps!!!
Nancy has to mark and on this number line. How many spaces does she need between the integers 1 and 2, and between -1 and -2, to show and on the number line?
Answer:
Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.
what is x+7/10=-1/5??
Answer:
x=-9/10
Step-by-step explanation:
how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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Help me please I need this done quick
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE i'll give you brainliest
When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?
1.333...percent
Hope it helps
Evaluate f(x) = -2x - 5 for x = 3.
A. 11
B. -6
C. -11
D. 1
Answer:
C. -11
Step-by-step explanation:
f(x) = -2x - 5
Plug the 3 in for x
f(3) = -2(3) - 5
Multiply the -2 and 3
f(3) = -6 - 5
Subtract 5 from -6
f(3) = -11
Answer: C -11
Step-by-step explanation:
Its asking you to solve for f(x) which is Y
Y=-2x-5
X is 3
so replace -2x with 3 but only the x
you should get -23 not negative 23 its more of 2 times 3
then multiply -2 by 3 and get -6
add -6 and -5 to get -11
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales. Write an expression to represent his total compensation and calculate how much his total compensation was.
.4(600+s); $6,240
600+.04s; $1200
.04(600+s); $624
600+.4s; $6,600
Answer:
Total compensation = 600 + 0.04 * s and a total last month of $1200
(which agrees with the second answer shown in the provided list)
Step-by-step explanation:
Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:
Total compensation = 600 + 0.04 * s
and since last month he brought $15000 in sales, he got from sales:
0.04 * 15000 = $600
which added to the base salary gives:
$600 + $600 = $1200
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Turn this into a formula and step by step on how to solve it.
Carly, an office manager, needs to find a courier to deliver a package. The first courier she is
considering charges a fee of $13 plus $3 per kilogram. The second charges $5 plus $4 per
kilogram. Carly determines that, given her package's weight, the two courier services are
equivalent in terms of cost. What is the weight? How much will it cost?
At a package weight of
kilograms, the two couriers both cost $
Answer:
At a package weight of 8 kilograms, the two couriers both cost $37
Step-by-step explanation:
Let's say the package weighs w kg.
First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w
Second courier: 5 + 4w
They are equal in cost, so
13 + 3w = 5 + 4w
subtract 3w from both sides to put all the variables on one isde
13 = 5 + w
subtract 8 from both sides to solve for w
w = 8
plug w=8 into one side of the original equation to solve for cost
13 + 3w = 5 + 4w = 37
Which phrase matches the algebraic expression below?
2(x + 7) + 10
A)Two times the sum of x and seven plus ten
B)Two times the difference of x and seven plus ten
C)Two times x minus seven plus ten
D)Two times x plus the sum of seven and ten
Answer:
the answer is a.
Step-by-step explanation:
two times the sum of x and seven plus ten
2(x+7)+10
evaluate 1/5×5/6×3/7×21×16
Answer:
24
Step-by-step explanation:
⅕×⅚×3/7×21×16
⅙×9×16 (Cancelling 5 by 5 and 21 by 3)
⅙×144
24
Answer:
24
Step-by-step explanation:
place the following words in a binary search tree. add the words to the tree in the order given. lust gluttony greed sloth wrath envy pride
The binary search tree for the given words (lust gluttony greed sloth wrath envy pride) can be seen as attached.
Running the Python code referenced the attached binary search tree will produce results as follows:
value: envy, count: 1
value: gluttony, count: 1
value: greed, count: 1
value: lust, count: 1
value: pride, count: 1
value: sloth, count: 1
value: wrath, count: 1
search lust, result: (1, 1)
search gluttony, result: (2, 1)
search greed, result: (3, 1)
search sloth, result: (2, 1)
search wrath, result: (3, 1)
search envy, result: (3, 1)
search pride, result: (3, 1)
What is the binary search tree?The binary search tree is an advanced algorithm used for analyzing the node, its left and right branches, which are modeled in a tree structure and returning the value. The binary search tree is devised on the architecture of a basic binary search algorithm; so, it enables faster lookups, insertions, and removals of nodes.
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Let /_D be an acute angle. Use a calculator to approximate the measure of /_D to the nearest tenth of a degree. sin D = 0.75
The measure of angle D is 48.59 degrees where angle D is acute.
For finding the measure of angle when a trigonometric ratio is given, we use inverse trigonometric functions.
For sine there lies arcsin, for cos, there lies arccos and so on.
Thus, sinD=0.75
∠D = sin⁻¹(0.75)
∠D = 48.59
But since ∠D is acute, thus we have ∠D = 48.59
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So, use ___ as a factor _____ times to find the value of (−3)^4
Answer:
Use -3 as a factor 4 times to find the value of (-3)^4. The answer is 81
Step-by-step explanation:
To solve (−3)^4, use -3 as a factor four times. This can be done by multiplying -3 by itself four times: (-3)(-3)(-3)(-3) = 81. Alternatively, you can use the square root property to find the value of (−3)^4. The square root property states that if a number is multiplied by itself two times, then the square root of that number is equal to one of the numbers used in the multiplication. In this case, the square root of 81 is -3, which is equal to one of the numbers used in the multiplication. Therefore, (−3)^4 = 81.
Convert the hexadecimal expansion of each of these integers to a binary expansion.a) (80E)_{16} b) (135AB)_{16} c) (ABBA)_{16} d) (DEFACED)_{16}
The binary representation of each of these hexadecimal numbers is given as follows:
a) 80E = 100000001110
b) 135AB = 00010011010110101011
c) ABBA = 1010101110111010
d) DEFACED = 1101111011111010110011101101
How to convert from hexadecimal to binary?To convert a number from hexadecimal to binary, each hexadecimal character is converted to it's respective four bit binary code, given as follows:
0 = 00001 = 00012 = 00103 = 00114 = 00105 = 01016 = 01107 = 01118 = 10009 = 1001A = 1010B = 1011C = 1010D = 1101E = 1110F = F111Then, for example:
80E hexadecimal = 100000001110.
As:
8 = 10000 = 0000E = 1110More can be learned about the conversion of hexadecimal to binary at https://brainly.com/question/29598170
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5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -\(m_{p}\) to \(m_{p}\) evenly into L levels, so
Δv = \(2m_{p}\) / L
Δv / 2 = \(m_{p}\) / L
given that the error must be at most 1% of \(m_{p}\),
1%\(m_{p}\) = \(m_{p}\) / L
1/100 × \(m_{p}\) = \(m_{p}\) / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
What is the surface area of the sphere shown below with a radius of 7?
1
7
A. 49, sq. units
B. 65 sq. units
C. 196 sq. units
D. 457 sq. units
SUBMIT
Answer:
c
Step-by-step explanation:
the surface area for spheres is
4 × π × r²
4 × π × (7²) = 196 π
which statement about these triangles is true?
Answer:
I think it's D
Step-by-step explanation:
Answer:
i think it's a or d
but d is more have percent
expand 2x(3x+2y) thank you
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
A gain of seven yards in football is represented by 7. What number represents a loss of
seven yards?
A 0
B. 7
C. -(-7)
D. -7
Answer:
D. -7
Step-by-step explanation:
Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.
So, a loss of seven yards will be represented by -7.
So, the correct answer is D. -7
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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5 6/30+1 3/4=
Need step by step answers
Answer:
Step by step answers are key,... and they're below,... ;->
Step-by-step explanation:
This is your equation:
\(5 \frac{6}{30} + 1\frac{3}{4}\)
Make both fractions improper fractions (this makes them easier to work with) All you did to convert your two mixed number into improper fractions is:
Multiply the denominator (the bottom number in a fraction in this case 30) by the number not in the fraction (5), 30x5=150 and then add the product (150) to the numerator (the top number in a fraction (which in this case is 6))
\(5\frac{6}{30} = \frac{156}{30}\)
Do the same to the other mixed number (turning it into a improper fraction), Multiply the 4x1=4, add the product to the numerator 4+3=7 and then you have your second improper fraction
\(1\frac{3}{4} = \frac{7}{4}\)
Your new equation:
\(\frac{156}{30} +\frac{7}{4}\)
Now you need to get both denominators the same so you can add the together,... the easiest way to do this is to multiply the two denominators together,... 30x4=120
\(\frac{x}{120} + \frac{x}{120}\)
But how do we know what the numerator are to be? What you have to do is the following,... you had to multiply 30 by 4 to get to 120, so you have to multiply the 156 by 4 to make an equivilant fraction,... 156x4=624
\(5\frac{6}{30} = \frac{156}{30} = \frac{624}{120}\)
Like wise you had to multiply 4 by 30 to get to 120 so you have to multiply the numerator by 30 to make the fraction hold the same value,... 7x30=210
\(1\frac{3}{4} = \frac{7}{4} =\frac{210}{120}\)
Now all that is left is to add:
\(\frac{624}{120} +\frac{210}{120} =\frac{834}{120}\)
The answer is 835/120 simplify is or 6 19/20 or 6.95
Hope that was explination enough,... and have a SUPER-EXTRA-ORDINARILY-AMAZINGLY-AWESOME day,...
Chow,...!
AB is a radius of the circle. The circumference of the circle is 119.56. Find the
length of AB, rounding to the nearest tenth.
B
A
Answer:
19.0285
Step-by-step explanation:
For this, we have to work backwards.
First, the equation for the circumference of a circle is:
\(2\pi r\)
We already know the circumference, so we can solve for r:
\(119.56=2\pi r\)
divide both sides by 2
\(59.78=\pi r\)
divide both sides by pi
\(19.0285...=r\)
So, depending on the answer choices, the answer is 19.0285 rounded to the according decimal place.
Hope this helps! :)
Pls help I will give brainliest
only help if u have the answer for sure
Answer:
70km
Step-by-step explanation:
\(1cm = 20km \\ 3.5cm = 3.5 \times 20km \\ = 70km\)
Margaret said the exact product of 602 and 341 is 205,282 is she correct use paper and the standard algorithm to support your reasoning
Answer:
yes she is correct
Step-by-step explanation:
first do 602 times 341 then you compair to see if the answers are correct. Hopped this helped <3
Answer:
yes she is correct
Step-by-step explanation:
602 times 341
Emily's score for a Mathematics test was 5% higher than her score for an English test. If Emily scored 84 points for the Mathematics test, how many points did she score for the English test?
Answer:
80 points
Step-by-step explanation:
If score in English is x points and score in math is 5% higher then score in math
y = x + 0.05x
where 0.05 = 5% expressed as decimal
0.05x refers to the 5% increase in score
y = math score
y = x(1 + 0.05)
y = 1.05x
Given score in math = 84 this becomes
84 = 1.05x
x = 84/1.05
x = 80
So Emily's score in English was 80 points
One bag of grapefruit weighs 5 3/4 pounds. How many pounds of grapefruit are in 2 1/3 bags?
A) 8 1/12
B) 11 1/2
C) 11 2/3
D) 13 5/12
Answer:D is the answer :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A painter leans a 15-ft ladder against a house. The base ofthe ladder is 5 ft from the house. To the nearest tenth of a foot,how high on the house does the ladder reach?a-32 feetb-31 feetc-28 feetd-29 feet
If a painter leans a 15-ft ladder against a house and the base of the ladder is 5 ft from the house, then the ladder reaches an altitdue of 14 ft from the ground along the wall.
As per the question statement, a painter leans a 15-ft ladder against a house and the base of the ladder is 5 ft from the house,
And we are required to calculate the height that the ladder reaches, from the ground along the wall.
Since the wall is naturally perpendicular to the ground, the ladder, the length of the of ladder from the wall along the ground, and the height that the ladder reaches from the ground along the wall, make up a right-angled triangle, where, the ladder is the hypotenuse of 15ft, the length of the of ladder from the wall along the ground (5ft) is the base, and the height that the ladder reaches, from the ground along the wall is the perpendicular.
Now, let us assume that the perpendicular is "x" ft, then as per the Pythagorus Theorem, we get,
[(hypotenuse)² = {(base)² + (perpendicular)²}]
Or, [(15)² = {(x)² + (5)²}]
Or, (225 = x² + 25)
Or, [x² = (225 - 25)]
Or, (x² = 200)
Or, (x = √200)
Or, (x = 10√2 ft)
Or, (x ≈ 14ft)
That is, the ladder reaches a height of 14 ft from the ground along the wall.
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