Step-by-step explanation:
Fraction:
-Shows how many the whole is divided up
-Way of representing a whole
Numerator:
-The top of the fraction
Denominator:
-The bottom of the fraction
-Shows how many parts
A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a nickel or a penny? Enter a fraction or round your answer to 4
4
decimal places, if necessary.
Answer:
0.15890.35510.5140Step-by-step explanation:
Number of coins are as per table below
Quarters ≡ Dimes ≡ Nickels ≡ Pennies 23 ≡ 29 ≡ 17 ≡ 38Total number of coins
23+29+17+38 = 107Probability = favorable outcomes / total outcomes
P(nickel) = 17/107 = 0.1589 roundedP(penny) = 38/107 = 0.3551 roundedP(nickel or penny) = (17+38)/107 = 0.5140 roundedA particle in the ocean moves with a wave. The motion of the particle can be modeled by the cosine function. If a 14 in. wave occurs every 10 s, write a function that models the height of the particle in inches y as it moves in seconds x. What is the period of the function?
The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
How to find the cosine function of this problem?he cosine function can be used to model periodic motion, and its general form is:
y = A cos (Bx + C) + D
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.
Therefore, the frequency is:
\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)
We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.
Now we can write the function that models the height of the particle in inches y as it moves in seconds x:
y = 7 cos (2π * 0.1 * x)
Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.
Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
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Need Heeeeeelp please ...
which expression is equivalent to -3x(2x-8)+4x
Answer:
2x ( -3x + 14)
Step-by-step explanation:
What is Distribution Property?
Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.
Let's put this in the expression3x ( 2x - 8 ) + 4x
Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.
-3x · 2x + (-3x) · (-8) +4x
Simplify by multiplication:
-6x² + 24x +4x
Finally, we add:
-6x² +28x
Now, to simplify further, we can look for terms that show up in numbers.
We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:
x ( -6x + 28)
We can look and see that 2 is also a common factor between the two terms, so we can take that out too.
2x ( -3x + 14)
This is the most simplified it can get.
Alan won 2000 in an essay contest he invested the money in a savings account which pays 6% interest compounded annually consider the formula
Alan's investment worth after two years is $2,247 based on 6% annual interest rate
What is future value?
The future value of an amount invested means its future equivalent amount when the interest earned by the initial investment and the interest earned on earlier interest(interest on interest) have been added to the initial savings of $2,000 won by Alan in the essay contest
FV=PV*(1+r)^N
FV=worth of the savings after 2 years=unknown
PV=initial savings=$2,000
r=annual interest rate=6%
N=number of years that savings lasted=2
FV=$2000*(1+6%)^2
FV=$2,247
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Full question:
Alan won $2,000 in an essay contest. He invested the money in a
savings account which increases 6% annually. What is Alan's
investment worth after two years?
A. $240
B. $2,240
C. $247
D. $2,247
What is the rule for this pattern? 8, 4, 2, 1 Divide by 2. Multiply by 2. Subtract 4. Add 4.
Answer:
divide by 2
Step-by-step explanation:
because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome
Phil wants to play full-back for his football team. The decision depends on who serves as head coach for a given game. Coach Sal is head coach about 75% of the time, and Coach Benny is head coach other 25% of the time. Coach Sal has faith in Phil, so he starts him at full-back in 70% of the games he coaches. Coach Benny is not so sure, so he starts Phil at full-back 30% of the time. What is the probability of Phil starting as full-back for the next game?0.3980.60.40.24
Given that
Coach Sal is the head coach about 75% of the time and coach Benny is the coach for the remaining 25% of the time.
Sal has faith in Phil, so he full-back in 70% of the time and Benny had the faith, so he full-back 30% of the time.
Explanation -
Since the coach, Sal is the coach for 75% of the time and Benny is for 25% of the time.
Also, Sal's faith in full-back is 70% and Benny's faith in full-back is 30%.
Then,
75% of 70% = 75/100 x 70/100 = 0.525
25% of 30% = 25/100 x 30/100 = 0.075
So the final probability of Phil will be 0.525 + 0.075 = 0.6
Final answer -
So the final answer is 0.6.Hence option B is correct.-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
Can someone help please ASAP
Answer:
4
Step-by-step explanation:
2 · 4 = 8
8 + 4 = 12
the value of x is 4
Team A scored 30 points less than four times the number of points that Team B scored. Team C scored 61 points more than half of the number of points that Team B scored. If Team A and Team C shared in the victory, having earned the same number of points, how many more points did each team have than Team B?
Answer:
team a and team c scored 74 points which is 48 points more than team b, scoring 26 points.
Step-by-step explanation:
Round 0.007492 to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
Nearest hundredth is the second digit after the decimal point.
If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.
Can someone help
Me please
Answer:
the answer will be 10/19
Step-by-step explanation:
Answer:
10/19
Step-by-step explanation:
replace x with 3 and y with 1 in the equation:
\(\frac{3x + y^2}{5x + 4y} = \frac{3(3) + (1)^2}{5(3) + 4(1)} = \frac{9 + 1}{15 + 4} = \frac{10}{19}\)
A population, f(x), after x years may be modeled with f(x)=2(3)^x. What is the initial amount , growth rate, domains and range?
2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is:
f(x) = 2(3)ˣ
To find the initial amount, we need to find f(0):
f(0) = 2(3)⁰ = 2(1) = 2
So the initial amount is 2.
To find the growth rate, we can use the formula:
growth rate = (f(x) - f(0)) / f(0) × 100%
= (2(3)ˣ - 2) / 2 × 100%
= (3ˣ - 1) × 100%
So the growth rate is (3ˣ - 1)×100%.
The domain of the function is all real numbers because the function is defined for all values of x.
The range of the function is all positive real numbers because the function is always positive for any value of x.
Specifically, the range of the function is (0, infinity).
Hence, 2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
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The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
Identify the function shown in this graph. lol I need help
Answer:
y = -3x - 2
Step-by-step explanation:
It's hard to explain in txt lol
Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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Fred buys flags from a manufacturer for f dollars each and then sells the flags in his store for a 26%markup.
Answer:
the markup is 1.26 (the amount added is .26)
1.26x (when x is the price Fred buys them for from the manufacturer)
1.26(40)
$50.40 is the retail price
50.4-40
$10.40 is the markup
Step-by-step explanation:
The 26% markup means that he is selling the flags 26% above the cost.
So, the cost would represent 100%, which is 1, and 26% of markup in decimal number is 0.26.
The price including the markup would be 1.26 as decimal or 126% as percentage.
The problem states that the cost is unknown, so we represent that with a variable x. The retail price would be 1.26x, which is 126% per flag.
Finally, if Fred paid $40 per flag, the actual retail price would be:
1.26($40)=$50.40.
With $10.40 of markup.
when you refer to the meer-kitty survey feedback tab, you are pleased to find that the available data is aligned to the business objective. however, you do some research about confidence level for this type of survey and learn that you need at least 120 unique responses for the survey results to be useful. therefore, the dataset has two limitations: first, there are only 40 responses; second, a meer-kitty superfan, user 588, completed the survey 11 times. as the survey has too few responses and numerous duplicates that are skewing results, you should remove the duplicates and continue analyzing the remaining 29 responses.
The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.
To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.
It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.
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Please, show some work
I can not see the photo
9514 1404 393
Answer:
A. x -4y
Step-by-step explanation:
The first expression factors as ...
= 2x(x -4y)
The second expression factors as ...
= 3x^2(x -4y)
Factors that are common between these factorizations are ...
x, (x -4y)
Of these, the one on your list of choices is ...
x -4y
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.
He calculates that if he and four friends share all the nuts equally, each person will receive 5.1 ounces of nuts.
Is his answer reasonable? Use 3-5 complete sentences to explain why or why not.
Answer:A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rsl7.50
Step-by-step explanation:
Answer:
Lens answer is not reasonable because if you do the math she will be able to share 6.875 ounces. I know this because you can add 12.3 and 15.2 to get 27.5. If you divide 27.5 by 4 you get 6.875.
Step-by-step explanation:
The question is in the screenshot
\(\bf\longrightarrow{F(x) = \displaystyle \int\limits_{0}^{x} \sqrt{4 - {t}^{2} } \: \: dt}\)
\(\bf\longrightarrow{F(x) = \displaystyle \bigg[ \frac{t}{2} \sqrt{ {2}^{2} - {t}^{2} } + \frac{ {2}^{2} }{2} \sin^{ - 1} \frac{t}{2} \bigg] _{0}^{x}}\)
\(\bf\longrightarrow{{F(x) = \displaystyle \bigg[ \frac{x}{2} \sqrt{ 4 - {x}^{2} } + 2\sin^{ - 1} \frac{x}{2} - 0 - 0 \bigg]} }\)
\( \bf\longrightarrow{F(x) = \displaystyle \frac{x}{2} \sqrt{ 4 - {x}^{2} } + 2\sin^{ - 1} \frac{x}{2}}\)
Since n ≤ 2So, maximum value of \(F(x) = \displaystyle 2\sin^{-1}\frac{2}{2} + 0 = 2 \frac{\pi}{2} = \pi\)So, Correct option is (b) [0,π]I need help please and thank you.
Answer:
option a.
\( + - \frac{13}{5} \)
Step-by-step explanation:
\(25x^2\: - \:169 = 0 \)
\(25x^2 = 169\)
\( {x}^{2} = \frac{169}{25} \)
\(x = + - \sqrt{ \frac{169}{25} } \)
\(x = + - \frac{13}{5} \)
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Congruence question will give brainliest
Answer:
A
Step-by-step explanation:
Neil and Barry each bought a new phone plan. Neil bought a plan that costs $80 for a new phone and $3per minute of talk, text, or data. Barry bought a plan that costs $230 for a new phone and $2 per minuteof talk, text, or data.7. Write an equation to represent eachfriend's phone plan.8. How much will each friend pay if they eachuse 100 minutes?10. How many minutes would it take for bothplans to cost the same amount?chorar the
7.-
Equation for Neil P = 80 + 3m
Equation for Barry P = 230 + 2m
8.-
Neil P = 80 + 3(100)
P = 80 + 300
P = $380
Barry P = 230 + 2(100)
P = 230 + 200
P = $430
10.-
P = 80 + 3m
P = 230 + 2m
80 + 3m = 230 + 2m
3m + 2m = 230 - 80
m = 150
what is the slope of -3 up to positive 3
The line or points has a slope value of -1
How to determine the slope of the point?From the question, we have the following statement that can be used in our computation:
The slope of -3 up to positive 3
For a start, we represent the above parameters using an ordered pair
The ordered pair is represented as
(x, y) = (-3, 3)
The slope of the point is then calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3, 3) and (0, 0)
The coordinate (0, 0) represents the origin
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(-3 - 0)
Evaluate the difference
So, we have the following equation
Slope = (3)/(-3)
Evaluate the quotient
So, we have the following equation
Slope = -1
Hence, the slope is -1
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Can someone please explain to me how to tell if a number it's prime or not
Answer:
A prime number is a number that can only be divided by 1 and itself.
.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).
Which would be the best measures of center and variation to use to compare the data?
Answer:
https://rr.noordstar.me/83819a0f
Answer: B
Step-by-step explanation:
I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:
A - If it's skewed Mean wouldn't be used
C - If it's Symmetric IQR wouldn't be used
D - If it's skewed Standard Deviation wouldn't be used