So 4 1/5% is written as .0420. Multiply that by 50 and you get 2.1
Answer:
:)bien
mmmmmmmmmm!mmmmmmmm!!mm!!!!!mmmmmmmmmmmm
\(9 \times {10}^{8} \)
In ordinary form
Last year, 140 people in a community had cell phones. This year, the numberof people in the community with cell phones has increased by 65%.
Answer:
91 people
Step-by-step explanation:
HELP PLEASE WHATS NOT A FUNCTION
Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10+ 3ab - 2
Answer:
3ab + 8
Step-by-step explanation:
10 + 3ab - 2
the only like terms are the numeric values 10 and - 2 , then
= 3ab + 10 - 2
= 3ab + 8
The expression with combining likely terms will be 3ab + 8.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A mathematical expression serves as proof that two mathematical expressions are equal.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given expression is 10+ 3ab - 2
Now in this, the likely terms are only numerical values 10 and -2
By combining this
3ab + (10 - 2)
By subtraction
3ab + 8
Hence "The expression with combining likely terms will be 3ab + 8".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ5
Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital music libraries. They each randomly sample 50 songs from their libraries and record the lengths of the songs selected. The average of the selected hip-hop songs was x1
The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.
According to the statement
we have given that the sample of songs is 50. and the average of hip hop is μ₂.
For this purpose, we know that the
Sara and matt would like to know if the average length of the hip hop songs say μ₁ differ from the average of the hip hop songs say μ₂. It means μ₁ ≠ μ₂.
so, The null and alternative hypothesis value are:
H(null) = μ - μ₂ = 0 And
H (alternative) = μ - μ₂ ≠ 0.
From this it is clear that the this the value of hypothesis.
So,
Now, Let the degree of freedom be a x.
Then
At \(\alpha = 0.05\) then the value of k is 80,.
Then the critical value is
\(t = (\frac{\alpha }{2} , k) = 1.99\)
Here the critical vale is 1.99.
So, The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.
Learn more about null and alternative hypothesis here
https://brainly.com/question/15980493
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital music libraries. They each randomly sample 50 songs from their libraries and record the lengths of the songs selected. The average of the selected hip hop songs was *, - 245 seconds with a sample standard deviation of 5 seconds. The average of the selected rap songs was X - 275 seconds with a sample standard deviation of 6 seconds. They would like to know if the average length of hip-hop songs is different than the average length of rap songs. (a) What are the appropriate null and alternative hypotheses for this test? (b) Assume for purposes of this study, the degrees of freedom are 80. At a 5% significance level, what is the critical value for the test?
#SPJ4
An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?
The area of the label needed to cover the face of the box is given as follows:
96 square inches.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
The dimensions for this problem are given as follows:
3 - (-5) = 8.8 - (-4) = 12.Hence the area is given as follows:
Area = 8 x 12
Area = 96 square inches.
More can be learned about the area of a rectangle at https://brainly.com/question/25292087
#SPJ1
Answer:
The area of the label needed to cover the face of the box is given as follows:
96 square inches.
Step-by-step explanation:
For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
Learn more about systematic sampling here:
https://brainly.com/question/28963265
#SPJ11
When multiplied, what is the simplified form of (6 − 2i)(4 − 3i)? Write the answer in standard form, a + bi, where a and b are real numbers. 10 − 5i 30 − 26i 2 − 6i 18 − 26i
Answer:
18-26i
Step-by-step explanation:
hope this helps :)
suppose you are researching the eating habits of people your age. what sampling method could you use to find the percent of students in your grade who eat five servings of fruit and vegetables each day? what is an example of a survey question that does
A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.
Why is this the best sampling method to be used?This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.
In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.
Read more about sampling
brainly.com/question/24466382
#SPJ1
Copy and complete the input-output for the function please help 8th grade math
Answer:
1, 2, 3, 4
Step-by-step explanation:
y=x+2
Answer:
x=-1 x=0 x=1 x=2
y=1.5 y= 3 y=4.5 y=6
Question 2: Look at the students work and solution to the problem. Identify the error that is made and describe it. Solve the problem correctly. Incorrect work/solution Simplify the expression: 7k + 14 - 9k - 10 = 16k + 4 Identify and Explain the error
Answer:
-2k + 4
Step-by-step explanation:
Given:
Incorrect work / solution
7k + 14 - 9k - 10 = 16k + 4
Error is the simplification of the like terms, that is, 7k - 9k
Correct work / solution
7k + 14 - 9k - 10
Collect like terms
= 7k - 9k + 14 - 10
= -2k + 4
The error made was adding 7k and 9k together, instead of subtracting 9k from 7k which gives -2k as answer
Line L is mapped into m by a dilation centered at the origin with a scale factor of 4/5 , Line m is represented by y=3×+8 and it passes through the point whose coordinates are (-4,4). which of the following is true about line 1 ?
Here , we want to select which of the options correctly depicts what is true of line l.
The best way to go about this is finding the equation for line m.
ben and bella both leave the restaurant at the same time, but in opposite directions. if bella travels 6 mph faster than ben and after 8 hours they are 208 miles apart, how fast is each traveling?
To solve this problem, we will use the following equation:
Distance = Rate x Time
Let's first solve for Ben's rate. We can do this by setting up the equation:
Distance (208 miles) = Rate x Time (8 hours)
Rate = 208/8
Rate = 26 mph
Now let's solve for Bella's rate. We know that Bella is travelling 6 mph faster than Ben, so we can set up the equation as follows:
Rate = 26 + 6
Rate = 32 mph
Therefore, Ben is travelling at 26 mph and Bella is travelling at 32 mph.
To know more about Distance refer here:
https://brainly.com/question/15172156
#SPJ11
Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its width, w. Tack strip is placed around the perimeter of the room, which is equal to five times the width. If carpet costs $2.99 a square foot, what the total cost to carpet the living room?
Answer:
$149.50
Step-by-step explanation:
Width = x
Length = 2x - 5
Perimeter of the room = 5x
Perimeter of the room = 2(length + width)
5x = 2{(2x-5) + x}
5x = 2(2x - 5 + x)
5x = 4x - 10 + 2x
5x = 6x - 10
5x - 6x = -10
-x = -10
x = 10
Width = x = 10
Length = 2x - 5
= 2*10 - 5
= 20 - 5
= 15
Perimeter of the room = 5x
= 5 × 10
= 50 square foot
If carpet costs $2.99 a square foot, what the total cost to carpet the living room
Total cost = $2.99 × 50
= $149.50
The formula for area of a triangle is A = b*h/2. What is the area of the triangle?
Answer:
63
Step-by-step explanation:
b*h/2
b= 18
h=7
(7*18)/2 = 63
The large circle has a radius of 10 cm. Find the radius of the
largest circle which will fit in the middle.
Answer:
Let AB = 2r cm where r is the radius of each small circle
And DB = √2 *2r cm
And we have that 2r + √2 *2r = 20 → r + √2r = 10 → r = 10 / [ 1 + √2] cm
So the radius of the small circle in the center = √2r − r =
[ 10√2] * / [ 1 + √2] ] − 10 / [ 1 + √2] cm =
[10 ( √2− 1) ] / [ 1 + √2] cm ≈
[1.71572875....] cm
Step-by-step explanation:
the length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. when the length is 13 cm and the width is 4 cm, how fast is the area of the rectangle increasing (in cm2/s)?
The rate of increasing the area of the rectangle is 72cm²/s
We have, The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 13 cm and the width is 4 cm, we have to find how fast is the area of the rectangle increasing.
The area of a rectangle is given by, A = l × w
Where l is the length and w is the width.
Now we will differentiate the equation with respect to time t.
dA/dt = d/dt (l × w)
dA/dt = l(dw/dt) + w(dl/dt)
We can use this formula to calculate how fast the area of the rectangle increases when the length is 13 cm and the width is 4 cm.
Substituting the given values, l = 13 cm and dl/dt = 5 cm/s w = 4 cm and dw/dt = 4 cm/s
dA/dt = 13(4) + 4(5)
dA/dt = 72 cm²/s
Therefore, the area of the rectangle increasing at a rate of 72 cm²/s.
To know more about the "area of the rectangle": https://brainly.com/question/24571594
#SPJ11
Which is the graph of f(x) = (2)-x?
_____
B
_________
?
______________
Is 7.12467 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational
I just want the coordinates, thanks :)
Answer:
(0,1) and (1,4)
Step-by-step explanation:
WILL MARK AS BRAINLIEST IF CORRECT
Answer:
\(x \leqslant 32\)
Find the derivative of the function f by using the rules of differentiation. f(x) = 390 , f'(x) =
The derivative of the function f(x) = 390 by using the rules of differentiation is f'(x) = 0.
To find the derivative of the function f(x) = 390, we can apply the rules of differentiation.
In this case, the function f(x) = 390 is a constant function, which means it does not depend on the variable x. The derivative of a constant function is always zero.
Therefore, the derivative f'(x) of the function f(x) = 390 is:
f'(x) = 0
The derivative of a constant function is zero because a constant value does not change with respect to the variable x. So regardless of the value of x, the rate of change of the function is always zero.
To know more about derivative, click here: brainly.com/question/29144258
#SPJ11
a horse with no name
father and son make a 64km journey through the desert, starting at 4pm
Answer:
----------------------------------------------------------------------------------------------------------
The time they arrive at the destination is 9:24 am the next day
How to determine the time they arrive at the destination.
From the question, we have the following parameters that can be used in our computation:
Time = 4 pm
Distance = 64 km
Start by calculating time taken for the father to ride the horse and son to walk the first 32 km:
Time = Distance / (Difference between rates of father and son)
Time = 32 km / (8 km/h - 3 km/h)
Time = 32 km / 5 km/h
Time = 6.4 hours
Calculate time taken for the son to ride the horse and father to walk the remaining 32 km:
Time = Distance / (Difference in Speed)
Time = 32 km / (8 km/h - 4 km/h)
Time = 32 km / 4 km/h
Time = 8 hours
So, we have
Total time = 6.4 hours + 8 hours + 3 hours break + 4 pm
Evaluate
Total time = 9:24 am the next day.
if a company produces product 1, then it must produce at least 150 units of product 1. which of the following constraints enforces this condition?
The following constraint enforces the condition that if a company produces product 1, then it must produce at least 150 units of product 1: x₁ ≥ 150, where x₁ represents the number of units of product 1 produced by the company.
What is a constraint?
A constraint refers to any limitation that constrains or restricts the activities of a company or an individual. Constraints are obstacles to progress that must be addressed. In other words, a constraint is something that constrains or limits a company's production or productivity.
Constraints can come in a variety of shapes and sizes, ranging from factors that are difficult to manage, such as the availability of raw materials, to more controllable elements, such as production processes and labor issues. Regardless of their nature, constraints should be monitored closely so that they do not impede a company's progress or success.
The mathematical expression that represents a constraint is referred to as a constraint equation. The expression comprises the variables that the constraint affects, along with an equal sign, greater than or equal to sign, or less than or equal to sign.
#SPJ11
Learn more about company and constraint https://brainly.com/question/30591474
Decrease £77 by 8%
Give your answer rounded to 2 DP
The price after the reduction is £70.84
How to determine the number after the reductionFrom the question, we have the following parameters that can be used in our computation:
Original number = £77
Reduction = 8%
Using the above as a guide, we have the following:
Reduced price = Original price * (1 - Reduction)
Substitute the known values in the above equation, so, we have the following representation
Reduced price = £77 * (1 - 8%)
Evaluate
Reduced price = £70.84
Hence, the reduced price is £70.84
Read more about expression at
brainly.com/question/4541471
#SPJ1
How to convert polar coordinates to rectangular coordinates.
the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).
To convert polar coordinates to rectangular coordinates, you can use the following formulas:
Given polar coordinates (r, θ), where r represents the distance from the origin (or pole) to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:
Rectangular coordinate x = r * cos(θ)
Rectangular coordinate y = r * sin(θ)
Here's a step-by-step process for converting polar coordinates to rectangular coordinates:
1. Identify the given polar coordinates (r, θ).
2. Use the formula x = r * cos(θ) to calculate the rectangular coordinate x.
3. Use the formula y = r * sin(θ) to calculate the rectangular coordinate y.
4. The rectangular coordinates (x, y) represent the equivalent representation of the given polar coordinates.
For example, let's say we have polar coordinates (r, θ) = (5, π/6). To convert these to rectangular coordinates:
x = 5 * cos(π/6) = 5 * (√3/2) = 5√3/2 ≈ 4.33
y = 5 * sin(π/6) = 5 * (1/2) = 5/2 = 2.5
So, the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).
to know more about polar visit:
brainly.com/question/27627764
#SPJ11
All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as
A. Write -in adjustment
B. Write -in deductions
C. Miscellaneous adjustments
D. Miscellaneous deductions
The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.
All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment.
When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.
Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).
Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.
To know more about corresponding visit:-
https://brainly.com/question/12454508
#SPJ11
8.2 + 3.3y − 0.5(16y − 9)
Answer:
-4.7y+ 12.7
Hope this helps!
Step-by-step explanation:
Question 3
One angle measures seventeen more than three times a number..
Another angle measures 7x + 3. What is the value of x if these two
angles are supplementary?
16
O 18
28
O 60
las edades de dos hermanos suman 38 años, calcularlas, sabiendo que la edad de uno es superior en 8años a la edad del otro
Teniendo en cuenta la definición de sistema de ecuaciones lineales, las edades de los hermanos son 15 y 23 años.
Definición de sistema de ecuacionesUn sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
Edad de dos hermanosEn este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:
x= edad de un hermano.y= edad de otro hermano.Por un lado, las edades de dos hermanos suman 38 años. Esto se expresa mediante: x+y= 38
Por otro lado, la edad de uno es superior en 8 años a la edad del otro, expresado mediante x=y +8
Entonces, el sistema de ecuaciones a resolver es:
\(\left \{ {{x+y=38} \atop {x=y+8}} \right.\)
Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución, que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.
En este caso, en la segunda ecuación la variable "x" ya se encuentra aislada. Entonces, reemplazando dicha expresión en la primer ecuación se llega a:
y +8 +y= 38
Resolviendo:
2y + 8=38
2y= 38 -8
2y=30
y=30 ÷2
y=15
Finalmente, para obtener el valor de y se reemplaza en la segunda ecuación, y resolviendo se obtiene:
x= y + 8
x= 15 + 8
x=23
Finalmente, las edades de los hermanos son 15 y 23 años.
Aprende más sobre sistemas de ecuaciones lineales:
brainly.com/question/15924499?referrer=searchResults
brainly.com/question/17411423?referrer=searchResults