Answer:
y = 1/2x + 0
Step-by-step explanation:
Pretend you are constructing a histogram for describing the distribution of salaries for individuals who are 40 years or older, but are not yet retired.
Salary age
$57,000. 00 27
$40,200. 00 21
$21,450. 00 44
$21,900. 00 27
$45,000. 00 40
Required:
a. What is on the Y-axis? Explain.
b. What is on the X-axis? Explain.
c. What would be the probable shape of the salary distribution? Explain why?
a) The data on the y-axis: the numbers of people in each salary category.
b) The data on the x-axis: salaries
c) The distribution of salaries is skewed to the right.
We know that a histogram is a graph in which the x-axis is a quantitative variable split into bins, and the y-axis is the frequency.
For given distribution of salaries for individuals, the Y-axis would have the frequency i.e., the numbers of people in each salary category.
And x-axis would have income, because this is out quantitative variable of interest.
consider the following histogram.
We can observe that the graph of distribution of salaries is skewed to the right, because most income data are positively skewed. There would be a substantial number of individuals at or near the lowest salary level, but some people make a tremendously high salary.
Learn more about histogram here:
https://brainly.com/question/16922467
#SPJ4
Help me with this problem - find y
[tex]y + 25 = 625 \div 25[/tex]
Answer:
[tex]y=0[/tex]
Step-by-step explanation:
[tex]y+25=25 \\ \\ y=25-25 \\ \\ y=0[/tex]
Answer:
[tex] \sf \: y = 0[/tex]
Step-by-step explanation:
Given equation,
→ y + 25 = 625 ÷ 25
Now the value of y will be,
→ y + 25 = 625 ÷ 25
→ y + 25 = 25
→ y = 25 - 25
→ [ y = 0 ]
Hence, the value of y is 0.
How do you graph a logarithmic curve?
Logarithmic Functions
In mathematics, the logarithmic function is an inverse function to exponentiation
Domain and range of logarithmic functions
We know that is defined only when >0. So the domain is the set of all positive real numbers. We can see that can be either a positive or negative real number (or) it can be zero as well. Thus, can take the value of any real number.
Note:
The domain of function = is >0 (or) (0,∞).
The range of any log function is the set of all real numbers ().
Logarithmic graph
We know that exponentials and functions are inversely proportional to each other, and so their graphs are symmetric concerning the line =. Also, note that =0 when =0 as =(1)=0 for any . Thus, all such functions have an -intercept of (1,0). A logarithmic function doesn’t have a -intercept as 0 is not defined.
Properties of logarithmic graph
>0 and ≠1.
The logarithmic graph increases when >1 and decreases when 0<<1.
The domain is obtained by setting the argument of the function greater than 0.
The range is the set of all real numbers.
Graphing logarithmic functions
Before plotting the log function, just have an idea of whether you get an increasing curve or decreasing curve as the answer. If the >1 then the curve is increasing, and if 0<<1, then the curve is decreasing.
Here are the steps for graphing logarithmic functions:
Find the domain and range.
Find the vertical asymptote by setting the argument equal to 0. Note that a function doesn’t have any horizontal asymptote.
Substitute some value that makes the argument equal to 1 and use the property (1)=0. This gives us the -intercept.
Substitute some value that makes the argument equal to the base and use the property ()=1 This would give us a point on the graph.
Connect the two points (from the last two steps) and extend the curve on both sides relative to the vertical asymptote.
To learn more about the logarithmic graphs, refer to the link:brainly.com/question/28145606
#SPJ4
What is 2 step used for?
The two step equations are used to represent the equations and solve real life problems .
What is Two Step Equations ?
The Equations that can be solved in exactly two steps are called as Two Step Equations .
We can use the two-step equations to represent and solve real-world problems by translating the problem into an algebraic equation, and solving equation, and then interpreting the solution of equation.
An example of the two step equation is : If a rental car costs $40 plus extra 10 cents for every mile driven, then how many miles can be driven for $50 ?
Translating The problem into equation we get [tex]40 + 0.1m = 50[/tex] where m is number of miles driven.
Step(i) we Subtract 20 from both sides
we get , [tex]0.1m = 10[/tex].
Step(ii) We Divide both sides by 0.1 ;
we get , [tex]m = 100[/tex].
Therefore , the problem to find the number of miles is solved in exactly two steps .
The given question is incomplete , the complete question is
What is the two step equation used for ?
Learn more about Two Step Equations here
https://brainly.com/question/26119747
#SPJ4
Tim's phone service charges $24.20 plus an additional $0.17 for each text message sent per month. If Tim's phone bill was $28.45, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.17x + $24.20 = $28.45 B. $0.17x - $24.20 = $28.45 C. $24.20x + $0.17 = $28.45 D. $24.20x - $0.17 = $28.45
Answer:
A
Step-by-step explanation:
each text message is .17 text messages are x the total bill is 28.45. the service charges are 24.20.
.17x + 24.50 = 28.45
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
Since your diameter is 8,
half of that is 4.
We are going to find the area now of both the bottom and the top.
4^4 = 16
16 x 3.14 = 50.24
Now we multiply by two since there are two circles (bottom and top) we only got one circle's area.
50.24 x 2 = 100.48
Now we need to find the round curved area.
In order to do that we need to find the circumference them multiply by the height:
2 x 3.14 x 4 = 25.12(circumference)
25.12 x 19Height) = 477.28
Now we need to add both the areas(surface area):
477.28 + 100.48 = 577.76 yard2 is your answer.
If vector u has its initial point at (-17, 4) and its terminal point at (8,-11), u =
If v = 141 - 4j, 2(u - V) =
what is this pls help me
Step-by-step explanation:
u vector components:
x-comp = 8 - (-17) = 25
x-comp = -11 - 4 = -15
Therefore, we can write vector u as
u = 25i - 15j
v = 14i - 4j
u - v = 11i - 11j
Therefore,
2(u - v) = 22i - 22j
-25-2x=3x
I know the answer to the problem but i´m not sure how to move the constant (-25) to the other side. When you move the constant to the right side the equation should be -2x=3x+25. How do you move a constant to the other side?
In this case I believe you would add 25 to both sides. The -25 +25 would cancel out and then +25 would be on the right.
PLSSSSS HURRY Brainliset involed
Answer:
24.36m²
Step-by-step explanation:
area = ½×(8.9+2.7)×4.2= ½×48.72=24.36m²
A temperature C, in degrees Celsius, is the same as a temperature of
9
5
C+32, in degrees Fahrenheit. The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
What is that temperature in degrees Fahrenheit?
Write your answer as a whole number or decimal.
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A temperature C, in degrees Celsius, is the same as a temperature of (9/5)C + 32, in degrees Fahrenheit.
The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
Convert the temperature from Celcius to Fahrenheit. Then we have
⇒ (9/5)C + 32
⇒ (9/5) x 40 + 32
⇒ 9 x 8 + 32
⇒ 72 + 32
⇒ 104 F
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ1
Write an exponential function to describe the given sequence of numbers,
10, 60, 360, 2160, 12960,.
The exponential function to describe the given sequence of numbers, 10, 60, 360, 2160, 12960, ... is aₙ = 10 × [tex]6^{n-1}[/tex].
The given series 10, 60, 360, 2160, 12960, ... is a geometric progression.
a = 10
The common difference r = 60/10 = 6
As we know the general formula of the nth term of a geometric series is
aₙ = a × [tex]r^{n-1}[/tex]
Now, put the values of a = 10, r = 6 and n in the general formula,
aₙ = 10 × [tex]6^{n-1}[/tex]
Therefore, the required exponential function to describe the given sequence of numbers, 10, 60, 360, 2160, 12960, ... is aₙ = 10 × [tex]6^{n-1}[/tex].
To know more about geometric series, here
https://brainly.com/question/4617980
#SPJ4
Find the volume of the composite solid. Round your answer to the nearest tenth.
The volume of the composite solid round to the nearest tenth is 83.7 inches³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
There are 2 hemispheres and a cylinder in the given composite solid.
Volume of hemisphere = [tex]\frac{2}{3}[/tex] π r³, where r is the radius.
Volume of the cylinder = π r² h, where r is the radius and h is the height.
Here r = 2 inches and
h = 8 - 4 = 4 inches
Volume of hemisphere = [tex]\frac{2}{3}[/tex] π × 2³
= [tex]\frac{16}{3}[/tex] π
There are two hemispheres.
Volume of two hemispheres = 2 × [tex]\frac{16}{3}[/tex] π = [tex]\frac{32}{3}[/tex] π
Volume of the cylinder = π r² h
= π × 2² × 4
= 16 π
Volume of the composite Solid = [tex]\frac{32}{3}[/tex] π + 16 π
= [tex]\frac{80}{3}[/tex] π
= 83.7 inches³
Hence the volume of the composite solid is 83.7 inches³.
Learn more about Volume here :
https://brainly.com/question/1578538
#SPJ1
Determine whether the lines tangent to the curve at the x-intercepts of the curve are parallel. Show the analysis that leads to your conclusion.
For the curve [tex]x^{2} +xy+y^{2} = 27[/tex] , the line tangents to the curve at the x intercepts of the curve are parallel .
The Slope of tangent line to a function at any point is denoted by [tex]\frac{dy}{dx}[/tex] .
The Curve is given as ⇒[tex]x^{2} +xy+y^{2} = 27[/tex] ;
On differentiating both sides of the curve with respect to "x" ,
we get ;
the slope of the line as ⇒ [tex]Slope = \frac{dy}{dx} = -\frac{2x+y}{x+2y}[/tex] ;
Now for the x- intercepts , the value [tex]y = 0 ,[/tex]
On substituting [tex]y=0[/tex] in the curve [tex]x^{2} +xy+y^{2} = 27[/tex] ,
we get ;
[tex]x^{2} +x(0)+0^{2} =27[/tex]
On simplifying further ,
we get ;
[tex]x=\pm 3\sqrt{3}[/tex] ;
So , the two x intercepts of the curve are [tex](3\sqrt{3},0)[/tex] and [tex](-3\sqrt{3},0)[/tex] ;
to find the slopes , we substitute the values in the slope equation .
On substituting the values in the slope equation ,
we get ;
[tex]Slope_{(3\sqrt{3} ,0)} = -\frac{2(3\sqrt{3}) +9}{3\sqrt{3} +2(0)}[/tex] = [tex]-2[/tex] and
[tex]Slope_{(-3\sqrt{3} ,0)} = -\frac{2(-3\sqrt{3}) +9}{-3\sqrt{3} +2(0)}[/tex] = [tex]-2[/tex].
we see that the slope at both the intercepts is same ,
Therefore , the lines tangents of the curve at the x intercepts are parallel .
The given question is incomplete , the complete question is
Consider the curve defined by [tex]x^{2} +xy+y^{2} = 27[/tex] . Determine whether the lines tangent to the curve at the x - intercept of the curve are parallel .
Learn more about Tangent Line here
https://brainly.com/question/2253861
#SPJ4
Please help me I’m doing a test really fast.
If a baseball player gets a hit 42% of his at bats, what is the probability that the baseball player will get a hit in 4 at bats in a row?
Answer:
Probability of one hit in 4 in a row = 42% = 42/100
Probability of 4 hits in a row = 3.1% = 31/1000
Step-by-step explanation:
Since all throws are independent events;
If 4 hits in a row
You can make a fraction and square by the amount of hits so if the questions asking 4/4 hits see below or change to the amount of hits you need.
(42/100)^4 = 0.03111696
This is 3.1%
42/100^1 stays 42% = 42/`100
42/100^2 becomes 17.64% = 441/2500
42/100^3 becomes 7.4% = 37/500
The probability that the baseball player will get a hit in 4 at-bats in a row is 0.0313 or about 3.13%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming each at bat is independent of the others.
The probability of getting a hit in any one at bat = 0.42
The probability of not getting a hit = 0.58.
The probability of getting a hit in 4 at bats in a row is the product of the probabilities of getting a hit in each of the 4 at bats.
= P(hit in 4 at bats)
= 0.42 × 0.42 × 0.42 × 0.42
= 0.0313
Therefore,
The probability that the baseball player will get a hit in 4 at-bats in a row is 0.0313 or about 3.13%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
How do I solve these problems?
Answer:
1 ) 597
2 ) 346
Step-by-step explanation:
1 )
A.P : - 15, - 7, 1, ...
Here,
a = - 15
d = - 7 - ( - 15 )
= - 7 + 15
d = 8
65th term is t65.
t65 = a + ( 65 - 1 )d
= a + 64 d
= - 15 + 64 ( 8 )
= - 15 + 512
t65 = 597
Therefore,
65th term = 597
2 )
A.P = 3, 10, 17, 24, ...
Here,
a = 3
d = 10 - 3 = 7
50th term is t50.
t50 = a + ( 50 - 1 )d
= a + 49d
= 3 + 49 ( 7 )
= 3 + 343
t50 = 346
Therefore,
50th term = 346
Answer:
65ᵗʰ Term of the sequence is 479
50ᵗʰ Term of the sequence is 346
Step-by-step explanation:
1.)Here,
First Term = a₁ = 3
Second Term = a₂ = 10
Third Term = a₃ = 17
Now,
Common Difference (d)
d = a₂ - a₁ = (-7) - (-15) = -7 + 15 = 8
d = a₃ - a₂ = 1 - (-7) = 1 + 7 = 8
Here, Common Difference is same everywhere
Now, For 65ᵗʰ term, n = 65
aₙ = a + (n - 1)d
a₆₅ = (-15) + (65 - 1) × 8
a₆₅ = (-15) + 64 × 8
a₆₅ = (-15) + 512
a₆₅ = 479
Thus, 65ᵗʰ Term of the sequence is 479
2.)Here,
First Term = a₁ = -15
Second Term = a₂ = -7
Third Term = a₃ = 1
Now,
Common Difference (d)
d = a₂ - a₁ = 10 - 3 = 7
d = a₃ - a₂ = 17 - 10 = 7
Here, Common Difference is same everywhere
Now, For 50ᵗʰ term, n = 50
aₙ = a + (n - 1)d
a₅₀ = 3 + (50 - 1) × 7
a₅₀ = 3 + 49 × 7
a₅₀ = 3 + 343
a₅₀ = 346
Thus, 50ᵗʰ Term of the sequence is 346
-TheUnknownScientist
What value of n makes the equation true? Show your work.
= (7⁵ × 7ⁿ)⁴ = (7¹⁶/7ⁿ)³
= (7²⁰ × 7⁴ⁿ) = (7¹⁶ × 7-ⁿ)³
= 7²⁰⁺ ⁴ⁿ = 7⁴⁸ ⁻ ³ⁿ
= 20 + 4n = 48 - 3n
= 20 - 48 = -3n - 4n
= -28 = -7n
= -28/-7 = n
= 4 = n
_____________
If you have any doubt,let me know in comments :D
Complete the stemplot for the following data. 34 53 66 52 48 42 41 58 36 50 40 59 49 35 30 40 43 35 61 43 49 39 44 43 34 42 68 46 46 39 Enter the numbers for the last row. Do not enter commas or other symbols, just numbers.
The stem plot for the given data is 3 4 5 6.
A stem and leaf plot, also known as a stem and leaf diagram, is a technique to arrange data such that it is simple to see how frequently certain sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
Arranging the given data in ascending order,
30, 34, 34, 35, 35, 36, 39, 39, 40, 40, 41, 42, 42, 43, 43, 43, 44, 46, 46, 48, 49, 49, 50, 52, 53, 58, 59, 61, 66, 68
The stem plot = 3 4 5 6
Calculated Statistics:
Minimum:30
Maximum:68
Range:38
Count:30
Sum:1365
Mean:45.5
Median:43
Mode:43
Standard Deviation:9.616
Variance:92.47
To know more about stem plot visit: brainly.com/question/29047284
#SPJ4
Easy points (Pythagorean theorem)
Answer:
61.03
Step-by-step explanation:
c=a2+b2=352+502≈61.03278
Rewrite in simplest terms: 3(-7h-4) +4 (h-6)
Answer:
-17h-36 is your answer
Step-by-step explanation:
3(-7h-4) +4 (h-6)
-21h-12+4h-24
-17h-36
Alex draws a diagonal in a rectangle that is 4 inches long and 3 inches wide. What is the area of one of two triangles that are formed?
Answer:
3.975 square inches
Step-by-step explanation:
Step 1
We find the length of the triangle
We solve using Pythagoras Theorem
Diagonal² = Length² + Width²
Diagonal = 4 inches
Width = 3 inches
Length² = Diagonal² - Width²
Length = √Diagonal² - Width²
Length = √4² - 3²
Length = √16 - 9
Length = √(7)
Length = 2.6457513111 inches
Length = 2.65 inches
Step 2
Area of Triangle = 1/2 × Base × Height
Base = Length = 2.65 inches
Height = Width = 3 inches
=1/2 × 2.65 inches × 3 inches
= 3.975 square inches
Therefore, the area of one of the triangles that are formed is 3.975 square inches
Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase
The total number of students on the honor roll increased by 20%.
Given that, 75 boys and 50 girls on the honor roll
=> boys increased by 24% = 75*24/100 = 18
So, the number of boys is increased by 18.
=> girls increased by 14% = 50*14/100 = 7
So, the number of girls is increased by 7.
After the increment, the number of boys and girls on the honor roll is 93 and 57, respectively.
Thus, the total number of students increased = 18+7 = 25
Therefore, the percentage increment in total = 25 / 125 * 100 = 20%
Hence, The total number of students on the honor roll increased by 20%.
To know more about percentage visit: brainly.com/question/16797504
#SPJ4
Find the derivative of the function. y = arctan √[(1 − x) /(1 + x)]
y' = ?
The derivative of the function y = [tex]tan^{-1}[/tex] √[(1 - x)/(1 + x)] is given by
y' = -1/[(1 + x)²× √[(1 - x)/(1 + x)]].
To find the derivative, we use the chain rule. The derivative of the outermost function, arctan, is
1/[1 + (√[(1 - x)/(1 + x)])²], and the derivative of the innermost function, the square root, is
-1/2×(1 - x)/[[tex](1+x)^{3/2}[/tex])]. Multiplying these two derivatives together gives us the final result.
1/[1 + (√[(1 - x)/(1 + x)])²]×-1/2×(1 - x)/[[tex](1+x)^{3/2}[/tex])]
=-1/[(1 + x)²× √[(1 - x)/(1 + x)]].
When we take the derivative of a function, we are essentially finding the slope of the tangent line of a function at a given point. This derivative will tell us the rate at which y changes with respect to x. The derivative of the function y = [tex]tan^{-1}[/tex] √[(1 - x)/(1 + x)] is a negative value, which means that as x increases, y decreases. Therefore, this function has a negative slope.
Learn more about tan function:
https://brainly.com/question/29117880
#SPJ4
PLEASE HELP ILL BRAINLIEST YOU PLEASE
17²-8²=225
√225= 15
therefore both x and y are 15 ft
Answer:
Im not sure but I think its x and y both equal 14.7ft
Step-by-step explanation:
Take this with a grain of salt I dont know if its correct but i hope it helps
What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
Nuw
O
لایا
w
ОО
62
Answer: Is this completing a a square?
Step-by-step explanation:
Answer:
9/4Step-by-step explanation:
The perfect square identity is:
(a + b)² = a² + 2ab + b²Apply to the given equation to complete the square:
x² + 3x = 6x² + 2*x*(3/2) + (3/2² = 6 + (3/2)²(x + 3/2)² = 6 + 9/4(x + 3/2)² = 8 1/4Required number is 9/4
Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
What is the length of AB?
Answer:
7.5
Step-by-step explanation:
What do you call two angles whose measures have a sum of 180?
Answer:
supplementary angles
Step-by-step explanation:
for instance, 50 + 130 = 180.
I NEED HELP ASAPPPP PLSSSSSSSS
Answer:
I believe the correct answer is D
I need help with the questions
Answer:
a) $12
b) $2.99
Explanation:
for both questions, the amount saved would be the original price × discounted percentage, since that is the amount that does not have to be paid due to the discount.
as such:
a) $150 × 8% = $12
b) $23.95 × 12.5% = $2.99 (to 2 decimal places)
i hope this helps! :D feel free to comment if you need to clarify anything