Answer:
Standard deviation can be difficult to interpret as a single number on its own. Basically, a small standard deviation means that the values in a statistical data set are close to the mean of the data set, on average, and a large standard deviation means that the values in the data set are farther away from the mean, on average.
Step-by-step explanation:
The standard deviation can never be a negative number, due to the way it’s calculated and the fact that it measures a distance (distances are never negative numbers).The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same.
The standard deviation is affected by outliers (extremely low or extremely high numbers in the data set). That’s because the standard deviation is based on the distance from the mean. And remember, the mean is also affected by outliers.
The standard deviation has the same units as the original data.
Final answer:
The context of a dataset influences its interpretation by providing background information that affects understanding. Different contexts can lead to varying interpretations of the same dataset. Understanding context is essential for accurate data interpretation and decision-making.
Explanation:
The context of a data set affects how the data is interpreted by providing background information and circumstances that influence the understanding of the data. For example, in statistics, when analyzing a dataset related to economic growth, the context of the data such as the time period or the country it represents can significantly impact the conclusions drawn.Context can lead to different interpretations of the same data set. For instance, a graph showcasing unemployment rates over time can be interpreted positively or negatively based on the context. If the data is during a recession, the interpretation would differ from a period of economic growth.Understanding the context of a data set is crucial for accurate interpretation and decision-making. It helps in avoiding misinterpretations and ensures that conclusions drawn are valid and relevant to the situation at hand.Candlelight Books kept a record of how its sales increased based on
discounts it offered. The scatterplot shows the results. Based on the line of
best fit, which of the following statements is true? ANSWER PLEASE LIKE RIGHT NOW
Answer:
D
Step-by-step explanation:
We need to understand the meaning of slope. The slope means the rate of change of y with every unit change of x.
In our case, it will be rate of change of sales increase (%) with respect to unit change of discount(%).
The formula for slope is the change in y divided by change in x.
From the 2 points given, we can say that slope is:
[tex]\frac{62-32}{20-10}=\frac{30}{10}=\frac{3}{1}[/tex]
This means "as discount increases 1%, sales increase by 3%". Option D is right.
Answer:
D
Step-by-step explanation:
There are eight planets in our solar system. Venus is the hottest planet, with an average temperature of 460°C. The average temperatures of some other planets are given in the table.
Planet
Average Temperature
Venus
460°C
Earth
14°C
Mars
-60°C
Neptune
-214°C
Answer:
what is the question i dont get it
Step-by-step explanation:
given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
Answer:
The direction of 5c + 4d is approximately 19.0° clockwise with
the positive part of x-axis
Step-by-step explanation:
* Lets talk about the direction of a vector
- If the vector is (x , y), then
# Its magnitude is √(x² + y²)
# Its direction is tan^-1 (y/x)
- The direction is the angle between the positive part of x-axis and
the vector
* Lets solve the problem
∵ c = (2.4 , 0.45) and d = (7 , -4)
- To find 5c + 4d , multiply the two coordinates of c by 5 and the two
coordinates of d by 4
# Multiply c by 5
∴ 5c = [5(2.4) , 5(0.45)]
∴ 5c = (12 , 2.25)
# Multiply d by 4
∴ 4d = [4(7) , 4(-4)]
∴ 4d = (28 , -16)
- Lets add 5c and 4d
∴ 5c + 4d = (12 , 2.25) + (28 , -16)
∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]
∴ 5c + 4d = (40 , -13.75)
- The vector is in the 4th quadrant because the x-coordinate is
positive and the y-coordinate is negative
* Find the direction of 5c + 4d
∵ The direction is tan^-1 (y/x)
∴ The direction is tan^-1 (-13.75/40) = -18.97°
* The direction of 5c + 4d is approximately 19.0° clockwise with
the positive part of x-axis
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet?
Answer:
40 Miles Per Hour is 211,200 Feet per Hour, 3520 Feet Per Minute, and 58.67 Feet Per Second.
Find the equation of the line graph below in slope intercept form. please show your work. (will make brainiest.)
Answer:
y=2/3x+3
Step-by-step explanation:
the slope is 2 over 3 because you ride 2 up and 3 to the right to get to the next dot and the y intercept is 3 because that's where the line intercepts the y axis.
Simplify the expression 3x3^ 648x 4 y8
Answer: B.) 18x^2y^2 3squareroot 3xy^2
Step-by-step explanation:
Answer:
B. [tex]18x^{2} y^{2} \sqrt[3]{3xy^{2} }[/tex]
Step-by-step explanation:
To simplify this expression, use the fact that the root of a number (in this case is the cube root) can be expressed like a fractional exponent (1/3). Using this, the expression changes to:
[tex]3x(648x^{4}y^{8})^{(1/3)}[/tex]
Next step is to put the exponent inside the parenthesis:
[tex]3x(648^{1/3}x^{4/3}y^{8/3})[/tex]
Find the prime factorization of 648:
648 =3⋅3⋅3⋅3⋅2⋅2⋅2
648=3⁴∗2³
[tex]3x(3^{(4/3)}2^{(3/3)}x^{4/3}y^{8/3})[/tex]
Change all improper fractions in exponent to mixed fractions
[tex]3x(3^{1(1/3)}2^{1}x^{1(1/3)}y^{2(2/3)})[/tex]
Separate integers exponents from fractional:
[tex]3x(3\cdot3^{(1/3)}\cdot 2 \cdot x\cdot x^{1/3}\cdot y^{2}\cdot y^{2/3})[/tex]
Re-arrange (all numbers with fractional exponents must be together):
[tex]3x(3 \cdot 2\cdot x\cdot y^{2}\cdot 3^{(1/3)}x^{1/3}y^{2/3})[/tex]
Multiply the 3x with the numbers that have an integer exponent:
[tex]18x^{2}y^{2}(3^{(1/3)}x^{1/3}y^{2/3})[/tex]
Take out the exponent 1/3 from the parenthesis:
[tex]18x^{2}y^{2}(3xy^{2})^{1/3}[/tex]
And change the representation of the root to use a radical symbol
[tex]18x^{2} y^{2} \sqrt[3]{3xy^{2} }[/tex]
What is the slope of the line x = 4?
Answer: Undefined
Step-by-step explanation: Since there is no change in x, and it is a horizontal line, that means that the denominator is zero. Dividing anything with the denominator being 0 will always be undefined (Not to be confused with the numerator, which is just dividing by 0, thus giving you 0.) That means that our answer will be undefined.
If y is 5 when x is 2.5 and y varies directly with x, find y when x is 10
Answer:
If x varies directly as y, then x=ky. y=5 and x=2.5 are substituted into x=ky to find k.
2.5=5k
k=2.5/5
k=5.
K =5 is substituted in x=ky to find y where x is 10.
x=5y
10=5y
y=10/2
y=2
Answer: The required value of y is 20.
Step-by-step explanation: Given that y is 5 when x is 2.5 and y varies directly with x.
We are to find the value of y when x is 10.
According to the given information, we can write
[tex]y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~[\textup{where k is the constant of proportionality}][/tex]
When y = 5 and x = 2.5, then we have
[tex]5=k\times2.5\\\\\Rightarrow k=\dfrac{5}{2.5}\\\\\Rightarrow k=2.[/tex]
So, we get
[tex]y=2x.[/tex]
Therefore, when x = 10, then the value of y is
[tex]y=2\times10=20.[/tex]
Thus, the required value of y is 20.
Connie has $660,000 she wants to save. If the FDIC insurance limit per
depositor, per bank, is $250,000, which of these ways of distributing her
money between three banks will guarantee that all of her money is insured?
O
A. $220,000 in bank A, $160,000 in bank B, $280,000 in bank C
O
B. $180,000 in bank A, $220,000 in bank B, $260,000 in bank C
O
c. $220,000 in bank A, $300,000 in bank B, $140,000 in bank C
O
D. $180,000 in bank A, $240,000 in bank B, $240,000 in bank C
SUBMIT
Answer:
The answer would be D) $180,000 in bank A, $240,000 in bank B, $240,000 in bank C.
Step-by-step explanation:
You can immediately eliminate A, B and C because the question clearly states that the limit per bank is $250,000.
Answer:
D. $180,000 in bank A, $240,000 in bank B, $240,000 in bank C
Step-by-step explanation:
She needs to deposit less than $250,000 in each bank in order to be able to have that sum of money insured, in this case she could deposit it this way:
$250,000
$250,000
$160,000
But that could be too risky and too on the verge of not being accepted, you she just takes $10,000 out of every $250,000 deposits to make them $240,00, and add it to the $160,000 deposit, so she is left with three deposits of:
$240,000
$240,000
$180,000
And with this she makes sure all of her deposits are insured by staying below the $250,000 limit.
Which graph represents the function g(x) = |x + 4| + 2?
Answer:
Step-by-step explanation:
Graph y = |x|. This graph is v-shaped, opening up, with vertex at (0, 0). Now translate this graph 4 units to the left and 2 units up. The result is the graph of g(x) = |x + 4| + 2.
Next time, please share the possible answer choices. Thanks.
The function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
The equation of the function is given as:
[tex]g(x) = |x + 4| + 2[/tex]
The above is an absolute value function, and the equation of the parent function is:
[tex]f(x) = |x|[/tex]
This means that the function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
Read more about function transformation at:
https://brainly.com/question/17586310
Factor the binomial using its GCF: 10x-15x^4
Answer:
5x(2 - 3x³)
Step-by-step explanation:
10x-15x^4
The GCF( Greatest Common Factor) of 10x-15x^4 is 5x
Solve:
10x/5x = 2
-15^4/5x = -3x³
Final answer is
5x(2 - 3x³)
Check
5x(2 - 3x³)
distribute
5x(2) + 5x(-3x³)
10x - 15x^4
Answer:
5x(2 - 3x^3)
Step-by-step explanation:
The GCF is 5x 10x/5x=2 15x^4/5x=3x^3
use only positive exponents (4vy^-9) * (2x^-6 x^6 y^6) * (3v^4)
[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}\\\\ (4vy^{-9})\cdot (2x^{-6}x^6y^6)\cdot (3v^4)\implies 4vy^{-9}2x^{-6}x^6 y^6 3v^4 \\\\\\ 4\cdot 3\cdot 2vv^4y^{-9}y^6x^{-6}x^6 \implies 24v^{1+4}y^{-9+6}x^{-6+6}\implies 24v^5y^{-3}x^0 \\\\\\ 24v^5\cdot \cfrac{1}{y^3}\cdot 1\implies \cfrac{24v^5}{y^3}[/tex]
What is the y-intercept for the graph of the equation y=4(3^x)
A. (0,8)
B. (0,3)
C. (0,4)
D. (0,12)
ANSWER
C. (0,4)
EXPLANATION
The given graph has equation:
[tex]y = 4( {3}^{x} )[/tex]
The y-intercept is where the graph touches the y-axis.
At this point the value of x is zero.
We substitute x=0 into the equation to obtain:
[tex]y = 4( {3}^{0} )[/tex]
Recall that any non-zero number exponent zero is 1.
This implies that,
[tex]y = 4( 1 ) = 4[/tex]
Hence the y-intercept is (0,4)
The correct answer is C.
Two asteroids are 1000 km apart and are heading straight for each other. One asteroid is travelling at 59 km per second and the other at 41 km per second. How long does it take for them to collide?
Answer:
10 seconds.
Step-by-step explanation:
The velocity at which they are approaching each other = 59 + 41 = 1000 km per second.
Velocity = distance / time
So time = distance / velocity
= 1000 / 100
= 10 seconds.
10 seconds long does it take for them to collide.
Velocity
Velocity exists as the measurement of the amount of distance an object covers in a given amount of time. Here's a term equation that describes the connection between distance, velocity, and time: Velocity equals distance traveled divided by the time it brings to get there.
The velocity at which they exist approaching each other = 59 + 41
= 1000 km per second.
Velocity = distance / time
So, time = distance / velocity
= 1000 / 100
= 10 seconds.
Therefore, 10 seconds long does it take for them to collide.
To learn more about Velocity
https://brainly.com/question/24824837
#SPJ2
What is f(g(13))? A mapping diagram is shown
Answer:
Step-by-step explanation:
It's 32, just follow the row when g=13.
Answer: We want to know f( g (13) ), here g(13) is just a number, so you are evaluating f in a number, first we need to know the value of g(13). Looking in the diagram you can see that g(13) = 16.
So f(g(13)) = f(16)
Also, looking in the diagram you can see that f(16) = 32
So, f ( g (32) ) = 32
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(13) = 18 B. h(-3) = -1 C. h(2) = 16 D. h(8) = 21
Answer:
C. h(2) = 16
True statement
Step-by-step explanation:
The function has
Domain
-3 ≤ x ≤ 11
Range
1 ≤ h(x) ≤ 25
h(8) = 19
h(-2) = 2
Lets analyze each statement
A. h(13) = 18
False, x = 13 is not part of the domain
B. h(-3) = -1
False, -1 is not part of the range
C. h(2) = 16
True statement
D. h(8) = 21
False, the problem tells us that h(8) = 19
A. What is the area of the base? Use complete sentences to explain your reasoning.
B. What is the volume of the prism? Use complete sentences to explain your reasoning.
Answer:
For the first answer (A)
The area of the base is the area of the 8 by 4 rectangle, minus the missing 2 by 2 square in the top-right. This is 8*4-2*2=32-4=28 square centimeters.
For the second answer (B)
The volume of the prism is the base area multiplied by the height, or 28*10=280 cubic centimeters.
Answer:
Area = 28 cm² and Volume = 280 cm³
Step-by-step explanation:
A. Area of the base of the prism = Area of rectangle with dimensions 4 × 8 cm. minus area of a rectangle with dimensions 2×2 cm.
Area = 4 × 8 - 2 × 2
= 32 - 4 = 28 cm²
B. Volume of the given prism = Volume of full prism with dimensions 10 × 4 × 8 cm. minus volume of small prism (missing) having dimensions 2×2×10 cm.
Volume = 10 × 4 × 8 - 2 × 2 × 10
= 320 - 40
= 280 cm³
Area = 28 cm² and Volume = 280 cm³
what are the solutions to the equation 0 equals x squared minus x minus 6 check all that apply
Answer:
I don't understand the question can you add more information or maybe show the page where you got this question?
Step-by-step explanation:
Answer:
the answer is zero
Step-by-step explanation:
Find the 9th term of the following geometric sequence 1 -3 9 -27
Answer: The 9th term is 6561
Step-by-step explanation:
The geometric sequences have the following formula
[tex]a_n = a_1(r)^{n-1}[/tex]
Where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio between the consecutive terms of the sequence
In this case the sequence is 1 -3 9 -27
So [tex]a_1 = 1[/tex]
Observe that the common ratio r is:
[tex]r=\frac{-3}{1}=\frac{9}{3}=\frac{-27}{9}=-3[/tex]
So the formula is:
[tex]a_n = (-3)^{n-1}[/tex]
We want to find [tex]a_9[/tex]
[tex]a_9 = (-3)^{9-1}[/tex]
[tex]a_9 = (-3)^{8}=6561[/tex]
(50 points! please help me!)a store was trying to sell a bed set for $475. after a while, the marked the price tag down 35% off . if tax is 5% (of the sale price), how much would the bed set cost?
Answer:
$324.19
Step-by-step explanation:
First, find the price when marked down. Multiply 475 with 0.35:
475 x 0.35 = 166.25
Subtract 166.25 from the total cost:
475 - 166.25 = 308.75
Now, solve for the tax. Tax is 5% (0.05). Multiply 0.05 with the new cost:
308.75 x 0.05 = ~$15.44
Add 15.44 to the sales price:
308.75 + 15.44 = $324.19
$324.19 is your answer.
~
What is a Probabibility
Answer:
Probability
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
If
[tex] log_{5}(3) = a[/tex]
and
[tex] log_{5}(4)= b[/tex]
then
[tex] log_{15}(2) [/tex]
is?
a)2b/a+1
b)a+b/ab
c)2b-a/2b
d)b/2a+2
e)2a+2/b
[tex]\bf \log_5(3)=a\qquad \qquad \log_5(4)=b\ \\\\\\ \log_5(4)=b\implies \log_5(2^2)=b\implies 2\log_5(2)=b\implies \log_5(2)=\cfrac{b}{2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_{15}(2)\implies \stackrel{\textit{change of base rule}}{\cfrac{\log_5(2)}{\log_5(15)}}\implies \cfrac{~~\frac{b}{2}~~}{\log_5(3\cdot 5)}\implies \cfrac{~~\frac{b}{2}~~}{\log_5(3)+\log_5(5)} \\\\\\ \cfrac{~~\frac{b}{2}~~}{a+1}\implies \cfrac{b}{2}\cdot \cfrac{1}{a+1}\implies \cfrac{b}{2a+2}[/tex]
Which is the correct formula to calculate the volume of a cone?
Answer
πr^2 h/3
Step-by-step explanation:
pi radius squared multiplied by h/3
wich number can each term of the equation be multiplied by to eliminate the fractions before solving 6-3/4x+1/3=1/2x+5
Answer:
12x
Step-by-step explanation:
We require the lowest common multiple of 4x, 3 and 2x
the lowest common multiple of 4, 3 and 2 is 12
the lowest common multiple of x and x is x
Combining the two gives lowest common multiple of 12x
Multiplying through by 12x gives
72x - 9 + 4x = 6 + 60x ← no fractions
What are the solutions of the given equation 2x^2+9x+10=0
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 9x + 10 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 10 = 20 and sum = + 9
The factors are + 4 and + 5
Use these factors to split the x- term
2x² + 4x + 5x + 10 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) + 5(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x + 5) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
Answer:
1. x = 2
2. x = - 5/2
Step-by-step explanation: First put parenthesis around the equation
( 2x^2 + 4x ) + ( 5x + 10) = 0
2x ( x+ 2) 5 (x + 2),
when you have the same answer inside the parenthesis you know your right.
2x + 5 = 0
x + 2 = 0
Next preform basic algebra
2x = -5
x = -2x = - 5/2if m
17
27
90
63
** picture is attached below!!
Answer:
Last option: 63
Step-by-step explanation:
You need to observe and analize the triangle XWZ provided in the image attached.
You can observe that the lenght of the side XW of the triangle XWZ is congruent to the lenght of the side ZW. This means that the lenght of the side XW and the lenght of the side ZW are equal.
Therefore, if the measure of the angle ∠X is 63, then the measure of the angle ∠YZW is 63:
[tex]m\angle YZW=m\angle X[/tex]
[tex]m\angle YZW=63[/tex]
This matches with the last option.
3. Mr. Terence had 18 boxes containing 36 donuts each. He sold 162 donuts and
repacked the rest into 81 boxes. How many donuts did he put into cach box?
6 donuts. He repacked 6 donuts into each box .
Mr. Terence had 18 boxes containing 36 donuts each, that means:
Total donuts = n° boxes*n° donuts
Total donuts = 18*36 = 648
He had in total 648 donuts.
He sold 162 donuts and repacked the rest into 81 boxes. Then:
Rest donuts = Total donuts - sold donuts
Rest donuts = 648 - 162 = 486
The rest donuts are 486 donuts.
He repacked the rest into 81 boxes, then:
n° donuts (each box) = Rest donuts/n° boxes
n° donuts (each box) = 486/81 = 6
The number of donuts that he put in each box is 6 donuts.
Steven earns extra money babysitting. He charges $25.00 for 4 hours and $37.50 for 6 hours. Write an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represents the amount he charges. The equation is y=
An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$7.75x = y
I hope this helped! :)))
HELPP!!!! I need the answer please
Answer:
x = 4
Step-by-step explanation:
Using the 90-60-30 theorem, the hypotenuse is equal to 2a, so a = 4 sqrt(2). The shortest leg is therefore 4 sqrt(2). Using this, to find x, plug it into the smaller triangle. The hypotenuse of the smaller triangle is therefore 4 sqrt(2). Using the 45-45-90 theorem, 4 sqrt(2) = x sqrt(2), so x = 4. This is because there are two sqrt(2)'s', so taking that out of the equation leaves x = 4.
Hope this helps!
Write the following ration as a reduced fraction. Simplify your answer when possible: 14 to 84
Answer:
Hi there!
Since you asked for a simplified fraction, the answer to this question is: 1/6
Step-by-step explanation:
Look at the fraction 14/84, there is a definite similar factor between 14 and 84, 2. So all you do is divide the two numbers by two to reduce the fraction into 7/42
then you divide both 7 and 42 by 7 to get 1/6
Answer:
1/6
Step-by-step explanation:
14 to 84
First lets make it a fraction
14/84
Divide the top and bottom by 14
1/6