The 25 members of a basketball team are trying to raise at least $1460. 00 to cover the traveling cost for a holiday tournament. If they have already raised $461. 00, at least how much should each member still raise, on average, to meet the goal?
Answers
Rounded to the nearest cent, each member should still raise approximately $39.96 on average to meet the goal.
To determine how much each member should still raise on average to meet the goal, we need to find the remaining amount that needs to be raised and divide it by the number of team members.
The total amount needed to meet the goal is $1460.00, and they have already raised $461.00. Therefore, the remaining amount to be raised is:
Remaining amount = Total amount needed - Amount already raised
Remaining amount = $1460.00 - $461.00
Remaining amount = $999.00
Now, to find out how much each member should raise on average, we divide the remaining amount by the number of team members:
Average amount per member = Remaining amount / Number of team members
Average amount per member = $999.00 / 25
Average amount per member = $39.96
Note: In practice, some members may raise more or less than the average amount, depending on their individual fundraising efforts and capabilities. The average amount per member serves as a guideline for the overall target, but individual contributions may vary.
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Related Questions
can someone help me figure this out please?
Answers
Answer:
Subtract 7 from both sides
Step-by-step explanation:
The first step is to collect all the whole numbers to isolate the variable.
(5 points) how many ways are there to distribute seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear?
Answers
There are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.
How to use the principle of inclusion-exclusion to solve this problem?We can use the principle of inclusion-exclusion to solve this problem. Let A be the set of all possible ways to distribute the apples and pears without any restrictions, and let B, C, and D be the sets of ways to distribute the apples and pears such that person 1, person 2, and person 3, respectively, does not receive a pear.
We can compute |A|, the total number of ways to distribute the apples and pears, as follows:
|A| = (7 + 6) choose 3 = 78 choose 3 = 82,251
To compute |B|, we can first choose 6 pears to give to persons 2 and 3 (since person 1 cannot receive a pear). This can be done in (6 choose 2) = 15 ways. Then, we can distribute the remaining 7 apples and 1 pear to the three people in any way, which can be done in (8 choose 1) * (6 choose 2) = 84 ways. Therefore, |B| = 15 * 84 = 1,260.
Similarly, |C| = |B| and |D| = |B|, since the problem is symmetric with respect to the three people.
To compute |B intersection C|, we can choose 6 pears to give to person 3 (since persons 1 and 2 cannot receive a pear). This can be done in (6 choose 1) = 6 ways. Then, we can distribute the remaining 7 apples and 2 pears to persons 1 and 2 in any way, which can be done in (9 choose 2) = 36 ways. Therefore, |B intersection C| = 6 * 36 = 216.
Similarly, |B intersection D| = |C intersection D| = |B intersection C|, since the problem is symmetric with respect to the three people.
To compute |B intersection C intersection D|, we can simply distribute the 7 apples and 3 pears among the three people in any way, which can be done in (13 choose 3) = 286 ways.
Therefore, by the principle of inclusion-exclusion, the number of ways to distribute the apples and pears such that each person has at least one pear is:
|A intersection complement(B union C union D)| = |A| - |B union C union D| = |A| - (|B| + |C| + |D| - |B intersection C| - |B intersection D| - |C intersection D| + |B intersection C intersection D|) = 82,251 - (3 * 1,260 - 3 * 216 + 286) = 77,910.
Therefore, there are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.
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A group of hikers started at an elevation of 1,803 feet. A squid is swimming 300 feet below sea level. What is the distance between the hikers and the squid
Answers
Answer:
1503
Step-by-step explanation:
1803 - 300
What is the quotient of 25.95 divided by 50.25? *
Answers
Answer:
Quotient: 2
Remainder: 0
50 = 25 × 2 + 0
Step-by-step explanation:
Answer:0.516
Step-by-step explanation:You need to divide 29.25 by 50.25.
The two angles are congruent. Find x
Answers
-x -x
16=3x-5
+5 +5
21=3x
x=7
the time to fly between new york city and chicago is uniformly distributed with a minimum of 66 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 71 minutes? a) 1.00 b) 0.15 c) 0.07 d) 0.00
Answers
The probability that the flight is less than 71 minutes is 0.1471
Let the distribution of the time to fly between New York City and Chicago be X
X~U(66,100)
where,
66 = minimum
100 = maximum
We need to find P(X<71)
We know that in the case of uniform distribution,
P(X<x) = (x - a) / b -a
where,
a = min value
b = max value.
Hence P(X<71)
= (71 - 66) / (100 - 66)
= 5/34
= 0.1471
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70 points!
What is 3 to the power of two thirds equal to?
cube root of 9
square root of 9
cube root of 27
square root of 27
Answers
Answer: square root of 9
Step-by-step explanation:
The answer is the square root of 9, which is 3.
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
_________the answer is -4+5_________
To find the slope use formula: (y2-y1)/(x2-x1). We get : (13-5)/(-2-0) = 8/-2 = -4
For equation of line we know y=mx+b where m is the slope and b is the y-intercept. We know m=-4. So we have:
y = -4x+b
To find b, we just replace one of the coordinates for x and y. Let’s take (0,5)
5 = -4(0)+b
b=5
So the equation of the line is:
y = -4x+5
Prove everything you say and please have a readable handwritting. Prove that the set X c R2(with Euclidean distance is defined as: See Pictureconnected,but not path connected (X is connected,that is,it cannot be divided into two disjoint non-empty open sets.) X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1} Prove that the set X C R2(with Euclidean distance) is connected,but not path connected X
Answers
X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.
To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.
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Calls for a particular center occur at an average rate of 30 per hour. Find the probability that there are at least two calls in a given minute, correct to 2 decimal places.
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Get the probability of calls within a minute
\(\begin{gathered} 30\text{ calls = 1 hour} \\ 30\text{ calls = 60 minutes} \\ \text{Converting to calls per minute will be:} \\ \frac{30}{60}=0.5 \end{gathered}\)STEP 2: Write the formula for getting the probability that there are at least two calls in a given minute.
\(At\text{ least 2=}P(X\ge2)=1-(P(X=0)+P(X=1))\)STEP 3: Write the formula for P(X=r)
\(P(X=r)=\frac{e^{-np}\times(np)^r}{r!}\)STEP 4: Find P(X=0)
\(\begin{gathered} P(X=r)=\frac{e^{-np}\times(np)^r}{r!} \\ P(X=0)=\frac{e^{-0.5}\times(0.5)^0}{0!}=e^{-0.5}=0.6065 \end{gathered}\)STEP 5: Find P(X=1)
\(\begin{gathered} P(X=r)=\frac{e^{-np}\times(np)^r}{r!} \\ P(X=1)=\frac{e^{-0.5}\times(0.5)^1}{1!}=0.3033 \end{gathered}\)STEP 6: Find P(X>=2)
\(\begin{gathered} P(X\ge2)=1-(0.6065+0.3033) \\ P(X\ge2)=1-0.9098=0.0902 \end{gathered}\)Hence, the probability that there are at least two calls in a given minute is 0.0902
On the way to school, a student rides his bike to the bus stop. He then waits a few minutes for the bus to come and rides the bus to school. The bus stops at school, and he walks from the parking lot to his first class. Is the graph of his distance always increasing? Explain.
Answers
Answer:
no
Step-by-step explanation:
because he goes backwards when he goes back home and the bus drives him home and it goes backwards.
Answer:
No the graphs is only increasing when the student rides his bike to the bus, and walk and It is stays the same while him waits for the bus and when he gets off.
Mhanifa please help! This is my last question for this section. Solve for the unknown in each triangle. Round to the nearest tenth.
Answers
Answer:
Find the missing angle:
180° - (118° + 52°) = 10°Use the law of sines:
x / sin 10° = 45 / sin 52°x = 45 sin 10° / sin 52° x = 9.9 mNeed help with this quest
Answers
Answer:
I got x = -7 I hope this helps
Answer:
X = -7
Explanation:
1) -5 = -3 + x/2
-10 = -3 + x
x = -10 + 3
x = -7
Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease. Increasing 20 to 40 is the same as increasing 20 by a . So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of . So, it is a 50% decrease.
Answers
Answer:
To find increase/decrease, divide the starting number by the ending number.
40 to 20
20 ÷ 40 = 0.5
0.5 can be represented by 50%.
20 to 40
40 ÷ 20 = 2
2 can be represented by 200%. This is why decreasing 40 to 20 is a 200% increase. In the wording, it says it's a 100% increase. That would be 20 plus 20 times 1 (which is the same as 100%) which is 40.
(-25) devided (-5).
Answers
Answer:
Step-by-step explanation:
Here you go mate
step 1
(-25)/(-5)
step 2
(-25)/(-5) divide the equation by 5
answer
=5
Answer: 5
Step-by-step explanation:
Multiplying or dividing a negative by a negative results in a positive.
\((-10)/(-2)=5\)
Multiplying or dividing a negative by a positive results in a negative.
\((-10)/(2)=-5\)
Multiplying or dividing a positive by a negative results in a negative.
\((10)/(-2)=-5\)
Multiplying or dividing a positive by a positive results in a positive.
\((10)/(2)=5\)
Thus, because -25 and -5 are both negatives, the answer must be positive.
What is the solution to the equation
-3D/
Answers
Answer:
thats not a question
Step-by-step explanation:
numbers that describe diversity in a distribution are referred to as measures of group of answer choices central tendency. association. variability. standard deviation.
Answers
Numbers that describe diversity in a distribution are referred to as measures of variability.
Measures of variability describe how spread out or dispersed the data is within a distribution. They provide information about the range of values, the degree of dispersion around the mean, and the degree to which the data deviates from a central value.
Some commonly used measures of variability include the range, variance, and standard deviation. The range is the difference between the highest and lowest values in the distribution. The variance is the average of the squared differences of each value from the mean, while the standard deviation is the square root of the variance. The interquartile range and the coefficient of variation are also examples of measures of variability.
In contrast, measures of central tendency (such as the mean, median, and mode) describe the center or typical value of a distribution, while measures of association (such as correlation coefficients) describe the strength and direction of the relationship between two variables.
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ASAP NEED HELP really bad please
Answers
Answer:
1) See attachment.
2a) Initial Amount = 3600.
Growth/Decay factor = ³/₂.
2b) Growth function.
\(\textsf{3)}\;\;\; f(x)=1*2^x\)
4) 69 lions.
Step-by-step explanation:
General form of an exponential function
\(\boxed{y=ab^x}\)
where:
x is the independent variable.y is the dependent variable.a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
Question 1Given function:
\(f(x)=\left(\dfrac{1}{2}\right)^x\)
Complete the table of ordered pairs by substituting the values of x into the given function:
\(\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-3&8\\\cline{1-2}-2&4\\\cline{1-2}-1&2\\\cline{1-2}0&1\\\cline{1-2}1&0.5\\ \cline{1-2}\end{array}\)
Plot the ordered pairs on the given coordinate plane (see attached graph) and draw a curve through them.
This exponential function has a horizonal asymptote at y = 0.
As the value of x approaches infinity, the function gets closer and closer to y = 0 (x-axis) but doesn't actually touch it.
Question 2Given exponential function:
\(f(x)=3600\left(\dfrac{3}{2}\right)^x\)
Part 2a
To find the initial amount "a" and growth/decay factor "b", simply compare the given function with the general exponential function.
Therefore:
Initial Amount = 3600.Growth/Decay factor = ³/₂.Part 2b
As b = ³/₂ and ³/₂ > 1, this is a growth function (increasing).
Question 3"a" is the initial value (y-intercept) of an exponential function.
The y-intercept of a function is the y-value when x = 0.
Therefore, from inspection of the given table, the y-intercept of the given function is 1.
Therefore, a = 1.
"b" is the base (growth/decay factor) of an exponential function.
To find the base (growth/decay factor) of the given function, divide a value of y by its preceding value of y:
\(\implies b=\dfrac{4}{2}=\dfrac{2}{1}=\dfrac{1}{\frac{1}{2}}=...=2\)
Therefore, b = 2.
So the exponential function for the given table is:
\(f(x)=\boxed{1}*\boxed{2}\;^x\)
Question 4If the population of lions started at 80, then the initial value "a" of the exponential function is 80.
If the population has been decreasing by 3.5% per year, then the population each year is 96.5% of the previous year since:
100% - 3.5% = 96.5%Therefore, the base "b" of the exponential function is 0.965 (in decimal form).
Substitute the found values of a and b into the exponential function formula to create an exponential function for the given scenario:
\(\boxed{f(t)=80(0.965)^t}\)
where:
f(t) is the number of lions.t is the time (in years).To find how many lions will there be in four years, substitute t = 4 into the found exponential equation:
\(\implies f(4)=80(0.965)^4=69.37440005\)
Therefore, there will be 69 lions in four years.
Which equation represents a slope of 4 and (5,-2)?
y-2=4(x-5)
y-5=4(x-2)
y+2=4(x+5)
y+2=4(x-5)
Answers
Answer:
Step-by-step explanation:
the formula is named the point slope formula for a reason. and you have show both of them in the question , the slope and the point are given
y - y1 = m(x-x1)
so for your answer
y-(-2) = 4(x-5)
y+2 = 4(x-5) is the right answer
Simplify the following numerical expression as much as possible: 53*25= ?
Answers
Answer:
1325
Step-by-step explanation:
53 * 25 =
Break it apart to solve without a calculator
5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250
now multiply 3 * 25 = 75
Add them
1250 + 75 = 1325
You can't simplify further.
Answer:
1325
Step-by-step explanation:
53 * 25 = 1325
That's as simple as you can get
Given f(x)=5-3x, if f(x)=-19, find x
Answers
X would equal 8
Step-by-step explanation:
5-3(8) = -19
5 multiplied by negative 3 times 8 equals negative 19
negative 3 times 8 equals negative 24 plus 5 equals 19
Rhianna has $100 in a savings account that earns 5% interest per year.The interest is not compounded.How much interest will she earn in 1year?Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$5
Step-by-step explanation:
Using the formula given i=prt we can do the following: 100 x 0.05 x 1= $5
Therefore the total interest after one year would be $5
8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??
Answers
Answer:
$30.47
Step-by-step explanation:
100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps
write the exponential function. please show work
Answers
Answer:
\(y=10e^{x\ln4}=10(4)^x\)
\(y=0.4e^{-x\ln3}=0.4(3)^{-x}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function with base $e$}\\\\$y=ae^{kx}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $e$ is Euler's number. \\ \phantom{ww}$\bullet$ $k$ is some constant.\\\end{minipage}}\)
Given points:
(1, 40)(3, 640)Substitute the points into the formula to create two equations:
\(\implies ae^{k}=40\)
\(\implies ae^{3k}=640\)
Divide the equations to eliminate a and solve for k:
\(\implies \dfrac{ae^{3k}}{ae^{k}}=\dfrac{640}{40}\)
\(\implies \dfrac{e^{3k}}{e^{k}}=16\)
\(\implies e^{2k}=16\)
\(\implies \ln e^{2k}=\ln 16\)
\(\implies \ln e^{2k}=2\ln 4\)
\(\implies 2k=2\ln 4\)
\(\implies k=\ln 4\)
Substitute the found value of k into the formula, along with one of the points, and solve for a:
\(\implies ae^{\ln 4}=40\)
\(\implies 4a=40\)
\(\implies a=10\)
Therefore, the exponential function for points (1, 40) and (3, 640) is:
\(\implies y=10e^{x\ln4}\)
\(\implies y=10(e^{\ln 4})^x\)
\(\implies y=10(4)^x\)
----------------------------------------------------------------------------------------
Given points from the graph:
(-3, 10.8)(-2, 3.6)Substitute the points into the formula to create two equations:
\(\implies ae^{-2k}=3.6\)
\(\implies ae^{-3k}=10.8\)
Divide the equations to eliminate a and solve for k:
\(\implies \dfrac{ae^{-3k}}{ae^{-2k}}=\dfrac{10.8}{3.6}\)
\(\implies \dfrac{e^{-3k}}{e^{-2k}}=3\)
\(\implies e^{-k}=3\)
\(\implies \ln e^{-k}=\ln 3\)
\(\implies -k=\ln 3\)
\(\implies k=-\ln 3\)
Substitute the found value of k into the formula, along with one of the points, and solve for a:
\(\implies ae^{2\ln 3}=3.6\)
\(\implies 9a=3.6\)
\(\implies a=0.4\)
Therefore, the exponential function for points (1, 40) and (3, 640) is:
\(\implies y=0.4e^{-x\ln3}\)
\(\implies y=0.4(e^{\ln 3})^{-x}\)
\(\implies y=0.4(3)^{-x}\)
Consider the following conditional statement: If today is Monday, then tomorrow is Tuesday Here are some variants of that statement:A.If today is not Monday, then tomorrow is not Tuesday.B.If tomorrow is Tuesday, then today is Monday.C.If tomorrow is not Tuesday, then today is not Monday.(a) Which statement is the inverse? (A/B/C)(b) Which statement is the converse? (A/B/C)(c) Which statement is the contrapositive? (A/B/C)
Answers
Answer
Question A:
The answer is Inverse
Question B:
The answer is Converse
Question C:
The answer is Contrapositive
SOLUTION
Problem Statement
The question gives us a statement and we are asked to find its inverse, converse, and contrapositive. The statement given is:
\(\text{ }^{\prime}\text{ If today is Monday, then tomorrow is Tuesday'}\)Method
To solve this question, we need to know the definitions for each of inverse, converse, contrapositive.
Given the original statement, "If p, then q"
Inverse:
\(\text{' If not p, then not q'}\)Converse
\(^{\prime}\text{ If q then p'}\)Contrapositive:
\(\text{' If not q then not p'}\)With these definitions, we can solve the question.
Implementation
Let p be "today is Monday".
Let q be "tomorrow is Tuesday"
Thus, the original statement can be written as:
\(^{\prime}\text{ If p then q'}\)Question A:
If today is not Monday, then tomorrow is not Tuesday.
If p is "today is Monday" and q is "tomorrow is Tuesday"
Then, we can re-write the statement as follows:
"if not p then not q"
This corresponds to Inverse
Question B:
"If tomorrow is Tuesday, then today is Monday."
This can be re-written as:
"If q, then p"
This corresponds to Converse
Question C:
"If tomorrow is not Tuesday, then today is not Monday"
This can be re-written as:
"if not q, then not p"
This corresponds to Contrapositive
Final Answer
Question A:
The answer is Inverse
Question B:
The answer is Converse
Question C:
The answer is Contrapositive
A bag contains orange, white, and purple marbles. If you randomly
choose a marble from the bag, there is a 23% chance of drawing an
orange marble and a 48% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a
percent
Answers
Answer:
29%
Step-by-step explanation:
48%+23%= 71%
100%-71%=29%
Someone reported my question, I'm sorry Batman.
why does y=mx+b ?
Answers
Answer:
The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept
Step-by-step explanation:
lol thx for the points
The table shows the cost per pound of various vegetables at a farmers’ market.
Two people purchase 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives. If the people split the total cost evenly, enter the cost per person of the purchased vegetables in the space provided.
Answers
The required cost per person of the purchased vegetables is given as $7.62.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The total cost of vegetables for 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives is given as,
= 5/2× 1.24 + 4/3 ×2.82 + 2 × 4.19
= $15.24
This, amount of the bill is split between two people,
= 15.24 / 2
= $7.62
Thus, the required cost per person of the purchased vegetables is given as $7.62.
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-8, 0, 8, 16, 24,... Find the 65th term value.
Answers
Answer:
520
Step-by-step explanation:
nth term = + 8
Answer:
need more info. this doesn't make sense
Step-by-step explanation:
how many methods are there in class it?
Answers
Answer:99 or 9 i forget
Step-by-step explanation: