The number 280 equals 80% of the number 350.
PercentageThe percentage is represented by %. It is the given definition for a fraction whose denominator is equal to 100. See the following example:
50%=50/100 * 100 = 0.5* 100
The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.
The question asks the representation of the number 280 in relation to the number 350 in percentage. Thus, you should do:
280/350 *100 = 4/5*100=0.8*100=80%
Therefore, the percentage of 350 in relation to the value 280 is 80%
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Oscar chose A as the correct answer. How did he get that answer?
how am i supposed to know if you dont give the whole question.
Step-by-step explanation:
Why should you start forming the groups of four bits at the binary point instead of the left end of the number?
Starting the formation of groups of four bits at the binary point instead of the left end of the number facilitates conversion between binary and decimal numbers, improves organization and readability, simplifies calculations, and aligns the binary number with its decimal equivalent.
When working with binary numbers, it is more common and practical to start forming groups of four bits at the binary point rather than the left end of the number.
The binary point is the equivalent of the decimal point in a binary number system. Starting at the binary point allows for easier conversion between binary and decimal numbers, as well as better organization and readability of large binary numbers.
Forming groups of four bits at the binary point allows us to convert each group into a decimal equivalent. These decimal values can then be added together to obtain the final decimal representation of the binary number.
By starting at the binary point, we can work with smaller groups of bits at a time, which simplifies calculations and reduces the chances of errors. This approach also enables us to track the place value of each group more efficiently.
Additionally, starting at the binary point helps in aligning the binary number with its decimal equivalent. This alignment is crucial when performing arithmetic operations such as addition, subtraction, multiplication, or division on binary numbers.
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g(x) = 4x + 1
What is g(3)?
Answer:
D.13
Step-by-step explanation:
g(3) = 4(3) + 1 = 12 + 1 = 13
Answer:
D. 13
Step-by-step explanation:
g(x) = 4x + 1
g(3) = 4(3) + 1
replace x with 3
g(3) = 12 + 1
g(3) = 3
This is the answer
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.
Answer:
Step-by-step explanation:
The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.
Answer:
265
Step-by-step explanation:
Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
Which of the following represents vector vector t equals vector PQ in trigonometric form, where P (–13, 11) and Q (–18, 2)?
t = 10.296 sin 60.945°i + 10.296 cos 60.945°j
t = 10.296 sin 240.945°i + 10.296 cos 240.945°j
t = 10.296 cos 60.945°i + 10.296 sin 60.945°j
t = 10.296 cos 240.945°i + 10.296 sin 240.945°j
The correct answer is option (C).
What are the fundamental forms of trigonometry?Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six functions (cot).
The equation t = Q - P, where Q and P are the specified locations, can be used to determine the components of the vector t. Therefore:
t = (–18, 2) – (–13, 11) = (–18 + 13, 2 – 11) = (–5, –9) (–5, –9)
The vector's magnitude is given by:
|t| = √(–5)^2 + (–9)^2 = √106 ≈ 10.296
The formula = tan1 (y/x), where x and y are the vector's components, can be used to determine the direction of the vector t. The direction must be expressed in terms of sine and cosine functions because we are required to represent the vector in trigonometric form.
θ = tan⁻¹ (–9/–5) ≈ 60.945°
In trigonometric form, the vector t is thus represented as follows:
t = [t|cos|i] + [t|sin|j]
We get the following by altering the values of |t| and:
t = 10.296 cos I + 10.296 sin j of angle 60.945
As a result, the following is the proper trigonometric representation of the vector t:
t = 10.296 cos I + 10.296 sin j of angle 60.945
Thus, alternative is the right response (C).
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For a field trip 20 students rode in cars and the rest filled 5 buses. How many students were in each bus if no more than 250 students went on the trip?
Answer:
46 bc 250 -20 =230 and 230÷5= 46
Please help me asap!!!!!!!!!!!!
Answer:
Angle < 2 is obtuse
Step-by-step explanation:
A supplementary angle with an acute angle will have another obtuse angle. The sum of the acute and obtuse angles will equal 180°
Help help help help help
Answer:
1: No Solutions
2:Infinite solutions
3: One Solution
Step-by-step explanation:
Desmos screenshots show solutions for simplified equations
How many molecules of SO2 gas would occupy 4.15 L at STP?
Answer:
The number of molecules of SO₂ gas that would occupy a volume of 4.15 L at STP is 1.1153125 × 10²³ molecules
Step-by-step explanation:
The given parameters for the SO₂ gas are;
The volume of the gas = 4.15 L
The condition of the gas = Standard Temperature, and Pressure, STP
The molar volume = The volume occupied by one mole of a gas at STP = 22.4 L
Therefore, we have;
22.4 L = The volume occupied 1 mole of gas
∴ The number of moles in 1 L of gas = 22.4 L/22.4 of gas = 1/22.4 moles of gas
The number of moles in 4.15 L of gas = 4.15 × 1/22.4 moles = 83/448 moles
∴ The number of moles of SO₂ in 4.15 L of SO₂ = 83/448 moles of SO₂.
The number of molecules in one ole of a substance is given by Avogadro's number, \(N_A\) = 6.02 × 10²³ molecules
1 mole of a substance contains 6.02 × 10²³ molecules
83/448 moles of substance contains 83/448 × 6.02 × 10²³ = 1.1153125 × 10²³ molecules
Therefore, the number of molecules in 83/448 moles of SO₂ = 1.1153125 × 10²³ molecules
Therefore, the number of molecules of SO₂ gas that would occupy 4.15 L at STP = 1.1153125 × 10²³ molecules.
a basket contains 3 white, 7 yellow, and 3 black translators. if a translator is randomly picked, find the probability that it is yellow
Answer:
the answer is 7/13
Step-by-step explanation:
because the total number of translators is 13, therefore, the probability of picking yellow is 7/13
help me answer this please it’s due today
$5 for 1 shirt
y = cost
x = number be shirts
10y = 2x
5y = x
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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The expression f(x)−f(a)/ x−a is the slope of
The expression (f(x) - f(a))/(x - a) represents the slope of the secant line between two points on a function f(x), namely (x, f(x)) and (a, f(a)).
The slope of a line between two points can be found using the formula (change in y)/(change in x). In this case, (f(x) - f(a))/(x - a) represents the change in y (vertical change) divided by the change in x (horizontal change) between the points (x, f(x)) and (a, f(a)).
By plugging in the respective x and a values into the function f(x), we obtain the y-coordinates f(x) and f(a) at those points. Subtracting f(a) from f(x) gives us the change in y, while subtracting a from x gives us the change in x. Dividing the change in y by the change in x gives us the slope of the secant line between the two points.
In summary, the expression (f(x) - f(a))/(x - a) represents the slope of the secant line connecting two points on the function f(x), (x, f(x)) and (a, f(a)). It measures the average rate of change of the function over the interval between x and a.
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2 Points
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f- g)(x).
O A. 5x-1
O B. 5x - 3
O C. X-3
O D. 3 - x
SUBN
Answer:
x-3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1,
(f- g)(x) = 3x - 2 - ( 2x+1)
Distribute
= 3x -2 -2x-1
Combine like terms
x-3
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
Answer:
a) Surface area = 616 cm²
b) Volume = V = 1083 cm³
Step-by-step explanation:
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
a) Formula for surface area = Base area × 1/2(perimeter × slant height)
Base area = Base edge²
=( 16 cm)² = 256 cm²
Perimeter = Base edge × 3
= 16 cm × 3 = 48 cm
Hence:
Surface Area = 256 cm² + 1/2(48 × 15)
= 256 cm² + 360 cm²
= 616 cm²
b) Volume = 1/3 × Base area × Height
1082.758616785cm³
Approximately = 1083 cm³
The number - 7/5 is ___ than- 1 1/5 because -7/5 lies___ 5-1 /1 on a vertical number line
first question answers grater or less
second question answers greater or less
The number - 7/5 is LESS than -1 1/5
because -7/5 lies GREATER 5-1 /1 on a vertical number line.
PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE
According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's
Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84Remember to use \(np\) to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
56% of the students at a college are from in-state. if 2,380 students are from in-state, how many students attend the college?
Answer:
Step-by-step explanation:
Answer is 4250 students attend the college
4250 x .56 = 2,380
pls help I don't get how the school system expects us to know this stuff
Answer:
i've got no idea y they do us dirty like dis
Step-by-step explanation:
1234
Answer:
1. Irrational
2. Rational
3. Irrational
4. Rational
5. Rational
Step-by-step explanation:
its hard to explain
5. Find the y-intercept 2x - 10 = 2y
y-intercept (b)=
Put in the number only!
the y intercept is 0 because it's the number with the x and you have to divide everything by the 2 w/ the y to get it by itself and the 2's cancel out just leaving x !!
How do I solve for the missing side lengths. My sender has to be as a radical in simplest form.
Answer: 6√6
Step-by-step explanation: When an angle is 45 degrees in a triangle it is actually half a square (I know right!!!), so, therefore, the other side length will also be 6, and then using the Pythagorean theorem we get the hypotenuse to be 6√2. Now, when an angle is 60 degrees in a triangle it is actually half an equilateral triangle (I know right!!!), so, therefore, the other side length will be double the length, 12√2, and using the Pythagorean theorem we get the side length x to be 6√6! Hope this helps!
For every 2 pages of a book that Bernice reads, Charmaine reads 3. When Charmaine
had 16 pages left, Bernice had 36. How many pages are there in the book?
Answer:
76
Step-by-step explanation:
Let x = number of pages
Since Charmaine had 16 pages left, subtract 16 from x to indicate that is the number of pages read like this: x - 16
Divide that by 3 like this: (x - 16)/3
Do the same for Bernice: (x - 36)/2
Make them equal to each other
(x - 16)/3 = (x - 36)/2
Cross multiply
2(x - 16) = 3(x - 36)
Distribute
2x - 32 = 3x - 108
Move like terms to the same side by subtracting 2x from both sides
2x - 32 = 3x - 108
- 2x - 2x
-32 = x - 108
Add 108 to both sides
-32 = x - 108
+ 108 + 108
x = 76
This means there are 76 pages in the book.
what can we say about the relationship between the correlation r and the slope b of the least-squares line for the same set of data?
The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.
The idea employed in the issue is
1.Correlation
2.Regression
Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.
Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.
The appropriate statement can be found below:
The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.
By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.
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what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?
someone help ASAP
Answer:
92 1/15
Step-by-step explanation:
74=19=92
3/5 and 2/5
3times 5 is 15
denominator is 15
9-10=1
92 1/15
There is a probablity of ____ that any individual at a random from
a population will fall (plus or minus) one standard deviation of
the mean.
Step-by-step explanation:
I hope this answer is helpful ):
A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .
Answer:
B. The given value is a for the because the data collected represent a . statistic year sample
Step-by-step explanation:
A population is the total of similar items that are of interest to the researcher.
Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.
A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.
In this scenario the population is the whole year, and the sample is 41 days.
So the mean derived from the sample is statistic of sample from the year.
This can be used to make deductions about the whole year.
I am trying to graph -3/5 x - 3 but I dont understand how to graph
Answer:
Step-by-step explanation:
Well the internet has some good videos on how to graph but I'll try to explain it.
That -3/5 which is beside your x is the slope. 3 is the rise and 5 is the run.
That -3 or your b value is the y-intercept. So when x=0
So put a dot on (0, -3)
Next try to plug in whole number values for x to find points on the graph. Then connect the dots and you're done.
A saguaro cactus casts a shadow that is 30 feet long. At the same time, a person standing nearby who is 5 feet 10 inches tall casts a shadow that is 50 inches long. How tall is the cactus?
The cactus is 42 feet tall.
What is the proportion?
A proportion is a statement that two ratios are equal. In other words, it's an equation that says two fractions are equal to each other.
We can set up a proportion to solve for the height of the cactus:
cactus height / cactus shadow length = person height / person shadow length
First, we need to convert the person's height from feet and inches to just inches, so we have:
person height = 5 feet 10 inches = (5 x 12) + 10 inches = 70 inches
Now we can substitute the values into the proportion and solve for the cactus height:
cactus height / 30 feet = 70 inches / 50 inches
cactus height / 30 = 70 / 50
cactus height = (30 x 70) / 50
cactus height = 42 feet
Hence, the cactus is 42 feet tall.
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2=400 solve this equation.
Answer: 200
Work: If the equation is 2x = 400, you just divide 2 on both sides, meaning the answer is x = 200