Answer:
the answer is D. 1.52
Step-by-step explanation:
you want to add all the numbers then divide by 10
15 + 15 + 17 + 18 + 18 + 18 + 19 + 20 + 20 + 21
10
then you find the difference between the mean and data point
Data point = 15 15 17 18 18 18 19 20 20 21
Mean Diff = 3.1 3.1 1.1 0.1 0.1 0.1 .9 1.9 1.9 2.9
then add the differences
3.1 + 3.1 + 1.1 + 0.1 + 0.1 + 0.1 + .9 + 1.9 + 1.9 + 2.9 and divide by 10
10
absolute deviation is 1.52 wings.
The solution is : the answer is D. 1.52 is the mean absolute deviation of the data set shown.
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values. The calculation can be done from raw data or for data aggregated in a frequency table.
here, we have,
we want to add all the numbers then divide by 10
15 + 15 + 17 + 18 + 18 + 18 + 19 + 20 + 20 + 21
__________________________________
10
then you find the difference between the mean and data point
Data point = 15 15 17 18 18 18 19 20 20 21
Mean Diff = 3.1 3.1 1.1 0.1 0.1 0.1 .9 1.9 1.9 2.9
then add the differences
3.1 + 3.1 + 1.1 + 0.1 + 0.1 + 0.1 + .9 + 1.9 + 1.9 + 2.9 [and divide by 10]
_______________________________________
10
=1.52
absolute deviation is 1.52 wings.
Hence, The solution is : the answer is D. 1.52 is the mean absolute deviation of the data set shown.
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what is the degree of 6x^5-4x^2+2x^3-3
Answer:
5
Step-by-step explanation:
we know that
A degree in a polynomial function is the greatest exponent of that equation
In this problem the greatest exponent is x^5
therefore
the degree of the polynomial is 5
Find the value of y .
8/20 = y/60
y = ___.
Y=24 because 60/20 is 3. 3*8 is 24
Answer:
[tex]y=24[/tex]
Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.
[tex]\frac{8}{20}=\frac{y}{60} \\ \\ 20y=480 \\ \\ y=24[/tex]
What is the slope of the line that passes through
the points (12,-3) and (-36,25)?
The slope is found by the change in Y over the change in X.
Slope = (25 - -3) / (-36 - 12)
Slope = 28 / -48
Simplify:
Slope = -7/12
Convert the angle 0=133π/72 radians to degrees
The result is 332.5 degrees.
To convert an angle from radians to degrees, we use the conversion factor that 1 radian = 180/π degrees. In this case, the angle is 133π/72 radians.
So, to convert 133π/72 radians to degrees, we multiply by the conversion factor:
(133π/72) * (180/π) degrees.
Solving this gives us the angle in degrees:
133 * 180 / 72 = 332.5 degrees.
1. Simplify (4x + 2)3.
Answer:
12x^2
Step-by-step explanation:
The correct answer after simplification is [tex]=64x^3+98x^2+48x+8[/tex]
To simplify (4x + 2)3, Use the identity,
[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a = 4x \\b= 2[/tex]
Put the value of a nd b in the identity and simplify,
[tex]\left(4x+2\right)^3=\left(4x\right)^3+3\left(4x\right)^2\cdot \:2+3\cdot \:4x\cdot \:2^2+2^3\\\\[/tex]
Perform elementary multiplication and addition,
[tex]=64x^3+98x^2+48x+8[/tex]
The correct answer is [tex]=64x^3+98x^2+48x+8[/tex]
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Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales tax rate is 7.9% what is the cost of shipping and handling
Answer:
Cost of shipping and handling = $23.453
Step-by-step explanation:
Given
Price of Chair=$220.59
Tax=7.9%
Invoice Price=$261.47
In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.
To find the tax,
Tax amount=220.59*0.079
=$17.42661
Now,
Cost of shipping and handling=$261.47-$220.59-$17.42661
=$23.453 ..
Answer:
The cost of shipping and handling is $23.45 .
Step-by-step explanation:
As given
Business services ordered a chair that cost $220.59.
if the California sales tax rate is 7.9%
7.9% is written in the decimal form
[tex]= \frac{7.9}{100}[/tex]
= 0.079
Thus
Sales tax price = 0.079 × Cost of the chair
= 0.079 × $220.59
= $ 17.43 (Approx)
Thus
Cost of the ordered chair with sales tax price = Cost of the chair + Sales tax price .
= $ 220.59 + $17.43
= $ 238.02
As given
Upon arrival they received an invoice for $261.47.
Thus
Cost of shipping and handling = Cost mentioned in invoice - Cost of the ordered chair with sales tax price.
Put all the values in the above
Cost of shipping and handling = $261.47 - $238.02
= $ 23.45
Therefore the cost of shipping and handling is $23.45 .
Based on data set shown which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. Mean = mode, mean less than median , mode less than median
Answer:
"Mean = Mode"
Step-by-step explanation:
Let's find the mean, median, and mode of the number set.
-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
Mean:
this is the average. We add up all of the numbers and divide by the number of numbers (11).
Mean = [tex]\frac{-1+-1+0+1+1+1+1+2+2+2+3}{11}\\=\frac{11}{11}\\=1[/tex]
the mean is 1
Median:
this is the "middle" number when arranged from least to greatest. From 11 numbers, the 6th number is the middle one. We can see from the arrangement below, that "1" is the middle number.
the median is 1
Mode:
this is the number that occurs the "most". Looking at the numbers, "1" occurs 4 times, which is the most. So
mode is 1
From the 3 choices, the first choice is right "mean = mode".
on the vent diagram, which region represent the intersection of set a and set b (AnB)
Answer:
Step-by-step explanation:
Section II would be correct
ANSWER
ii
EXPLANATION
The region that represents A intersection B is region ii.
This is the region that contains elements that belongs to A or B or both.
From the Venn Diagram,
[tex]A\cap B = ii[/tex]
The correct choice is A.
Plz help me with this
Answer: C) y ≥ 3x - 2; [tex]y\leq \dfrac{1}{2}x+3[/tex]
Step-by-step explanation:
Blue line:
y-intercept (b) = -2
slope (m) is 3 up, 1 right = 3
shading is above
⇒ y ≥ 3x - 2
Yellow line:
y-intercept (b) = 3
slope (m) is 1 up, 2 right = [tex]\dfrac{1}{2}[/tex]
shading is below
[tex]\implies \bold{y\leq \dfrac{1}{2}x+3}[/tex]
help quick pls---
(I'm terrible at math-)
Answer:
n= -0.7
Step-by-step explanation:
so first subtract 1.8 from 3.2 and then divide by -2
-2n = 1.4
n = -0.7
hope this helps!!
Simplify the expression using the rules for exponents
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{(a^{-3}b^{-1}c^{-5})^{-2}}{(a^5b^4c^2)^5}\implies \stackrel{\textit{distributing the exponent}}{\cfrac{(a^6b^2c^{10})}{(a^{25}b^{20}c^{10})}}\implies \cfrac{c^{10}c^{-10}}{a^{25}a^{-6}b^{20}b^{-2}} \\\\\\ \cfrac{c^{10-10}}{a^{25-6}b^{20-2}}\implies \cfrac{c^0}{a^{19}b^{18}}\implies \cfrac{1}{a^{19}b^{18}}[/tex]
Gox2
can I have help on this question plz and if you help me I would be glad to help you too
if you mean 60 × 2 it will be 120
Answer:
12
Step-by-step explanation:
just use google or a calculater or a phone
Solve for s. 2s = 7 + s
Hello, let's solve this step by step.
You're asking, 2s=7+s and to solve for S.
Now first, simplify both sides of the equation.
2s=s+7
Then, subtract s from both sides.
2s−s=s+7−s
Simplify to get 7.
Therefore, S = 7.
For a field trip 8 students rode in cars and the rest filled ten buses. How many students were in each bus if 538 students were on the trip?
Answer:
538-8=530
530/10=53
your answer is 53 students
Step-by-step explanation:
If a line falls on the points (8,9) and (3,8)what is its slope?enter your answer as a fraction in lowest terms. Use a slash mark (/) as a fraction bar.
Answer:
1/5
Step-by-step explanation:
it went up one on the y axis and 5 on the X and the formula is rise/run or up/left
Solve the equation 6w2 – 7w – 20 = 0.
A. w = –4⁄3, w = 2⁄5
B. w = –4⁄3, w = 5⁄2
C. w = –3⁄4, w = 5⁄2
D. w = –5⁄2, w = 4⁄3
Answer:
[tex]\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}[/tex]
Step-by-step explanation:
[tex]6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}[/tex]
Working alone, Pablo can put up a tent in 12 minutes. His mom can put it up by herself in 4 minutes. How many minutes would they take to put up the tent working together?
Pablo amd his mom would take Eight minutes
Final answer:
Pablo and his mom would take 3 minutes to put up the tent working together, as they combine their work rates to determine their joint effectiveness.
Explanation:
To determine how many minutes Pablo and his mom would take to put up the tent working together, we can use the concept of combined work rates. Pablo can put up a tent in 12 minutes and his mom can do it in 4 minutes. We calculate their combined work rate by adding the reciprocal of each person's time because working together means their rates add up.
Pablo's rate is 1 tent per 12 minutes, or 1/12 tents per minute. His mom's rate is 1 tent per 4 minutes, or 1/4 tents per minute. Combined, their rate is (1/12) + (1/4) tents per minute.
First, find a common denominator for the fractions, which would be 12 in this case, so we get:
(1/12) + (3/12) = 4/12
Therefore, their combined rate is 4/12 or 1/3 tents per minute. To find out how long it would take them to set up one tent, we take the reciprocal of the combined rate. Thus, 1 tent would take them 1/(1/3) minutes, or simply 3 minutes.
Working together, Pablo and his mom can put up the tent in 3 minutes.
He uses the slope of 2
Answer:
y = 2x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 2
The line passes through the y- axis at (0, 3) ⇒ c = 3
y = 2x + 3 ← equation of line
Suppose you select a card at random from a standard deck of cards 60 times, and 12 of those selections are hearts. How does the experimental probability compare to the theoretical probability? Include the difference between both types in your explanation.
A standard deck is composed of 52 cards, and contains 13 cards per suit. So, the theoretical probability of picking a card of any suit (and thus, in particular, a heart) is given by
[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts in the deck}}{\text{\# of cards in the deck}} = \dfrac{13}{52} = \dfrac{1}{4}[/tex]
On the other hand, the experimental probability is (as the name suggests) the probability that we can deduce from our experiment: we picked 60 cards, and 12 of these were hearts. This means that it would seem to us that
[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts we picked}}{\text{\# of cards we picked}} = \dfrac{12}{60} = \dfrac{1}{5}[/tex]
Choose the function who’s graph isn’t given by:
Answer:
D. [tex]y=\tan (x-\pi)+2.[/tex]
Step-by-step explanation:
Consider parent function [tex]y=\tan x.[/tex] The graph of this function is the same as the graph of the function [tex]y=\tan (x-\pi),[/tex] because the tangens has period of [tex]\pi.[/tex] (See first attached diagram)
Now, you can see that the graph of the function [tex]y=\tan (x-\pi)[/tex] is translated 2 units up. This translation gives you the function [tex]y=\tan (x-\pi)+2.[/tex] (see second attached diagram)
Answer: D
Step-by-step explanation: Apex
Place the indicated product in the proper location on the grid. 3a^n(a^n + a^n-1) =
Answer:
[tex]\large\boxed{3a^n(a^n+a^{n-1})=3a^{2n}+3a^{2n-1}}[/tex]
Step-by-step explanation:
[tex]3a^n(a^n+a^{n-1})\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^{n-1})\qquad\text{use}\ x^n\cdot x^m=x^{n+m}\\\\=3a^{n+n}+3a^{n+n-1}\\\\=3a^{2n}+3a^{2n-1}[/tex]
find the slope (4,1 2/3) (-2,2/3)
formula for slope y2-y1 over x2-x1 so the answer should be -1.1 over -6.3
Which is the vertex of x 2 + 10x = - 17?
Answer:
(-5,-8)
Step-by-step explanation:
Given in the question an equation,
x² + 10x = - 17
x² + 10x + 17 = 0
here a = 1
b = 10
c = 17
Step 1
Find the value of x using the formula
x = -b/2a
x = -10/2
x = -5
Step 2
Find the value of y by plugging x = -5 in the equation above
(-5)² + 10(-5) + 17 = y
25 - 50 + 17 = y
y = -8
vertex (h,k) = (-5,-8)
easy chose a,b,c,d wich ones please help easy
Answer:
A; The integer is 16
B; The integer has an absolute value of 16
D; The integer has an absolute value of 16
Answer:
b and d
Step-by-step explanation:
Please help. I need this as soon as possible
Answer:
D???
Step-by-step explanation:
D????
stand·ard de·vi·a·tion
/ˈstandərd ˌdēvēˈāSHən/
nounSTATISTICS
a quantity calculated to indicate the extent of deviation for a group as a whole.
What is the surface area of a cube with side lengths of 1/7
Please help
Answer: 0.122449
Step-by-step explanation:
If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.
PLZ HELP 10 POINTS!!!!!!!!!!!
Answer: The answer is D) 126in3
Step-by-step explanation:
When you multiply 42 and 9 you get 378, so from there you divide your answer by 3 which gets you
126in
Find the GCF of the three terms below
20xy^2+10xy^3+15x^3y^2
and rewrite the expression by factoring out the GCF
ANSWER
[tex]GCF=5x {y}^{2}
[/tex]
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
EXPLANATION
The given expression is
[tex]20x {y}^{2} + 10x {y}^{3} + 15 {x}^{3} {y}^{2} [/tex]
This can be rewritten as:
[tex] {2}^{2} \times 5x {y}^{2} + 2 \times 5x {y}^{3} + 3 \times 5{x}^{3} {y}^{2} [/tex]
The greatest common factor is the product of the least powers of the factors common to all the terms;
[tex]GCF=5x {y}^{2}
[/tex]
We factor to obtain;
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
What is tan M for this triangle? Enter your answers in the boxes.
tan M= ?/?
Answer:
Tan (M) = m/p
Step-by-step explanation:
Tan (M) = Oppo. / Adj.
Tan (M) = m/p
The required value of the tanM for the given triangle is tanM = m/p.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
For the given triangle,
TanM = perpendicular / base
From the figure perpendicular = m, base = p
Now,
tanM = m/p
Thus, the required value of the tanM for the given triangle is tanM = m/p.
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Which is equivalent to 3log28 + 4log21 2 − log32?
Answer:5-log^3 2
Step-by-step explanation:
Answer:
The answer is 5-log 3 2
Step-by-step explanation:
this is the answer on edge
you're welcome