The fan spent $35 in all if One thirsty fan ordered four sodas in the first half ond three in the second half, if each soda was $5.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
given,
One thirsty fan ordered four sodas in the first half ond three
in the second half, if each soda was $5.
The fan ordered 4 sodas in the first half and 3 sodas in the second half, for a total of 4+3 = 7 sodas.
If each soda costs $5, then the total amount spent on soda is 7 * $5 = $35.
Therefore, the fan spent $35 in all.
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Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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What expression represents the value of x?
the first one is correct
i can prove it but its hard on this app and it has a long solution
you can prove it by Thales law
hope this helps
What is this for? I can't remember because I have a problem that is similar to this.
Answer:
There is no attachment to the question. You should be specific on what you mean by "this". Therefore, we can not solve the problem that is similar to another problem.
The table below shows the number of bacteria in a laboratory sample after x minutes. Fill in the missing blanks (HELP!!!)
Answer:
2.25
4.5
9
18
36
72
144
288
Step-by-step explanation: you take the number and multiply it by itself. but went it comes to the negative numbers you have to divide the number by 2 then take the answer you get from that and add it by itself so 4.5+4.5=9. its pretty simply when you under stand how to do it.
IXL Please Help Fast!
Suppose that the equations of line \(C\) and \(D\) are as follows;
\(C=a_{1}x+b{_1}y+c_{1}\)\(D=a_{2}x+b_{2}y+c_{2}\)If these two lines are parallel to each other, the following equality must be satisfied.
\(\frac{a_{1}}{b_{1}} =\frac{a_{2}}{b_{2}}\neq \frac{c_{1}}{c_{2}}\)In summary, the slope of the two lines must be equal to each other.
\(m_{C}=m_{D}\)We know the equation of line \(C\). Then let us form the equation of line \(D\).
\(C=x+7y-14\)\(D=x+7y+c_{1}\)We must find the variable \(c_{1}\) by placing the given point \((-3,-1).\)
\(-3+7(-1)+c_{1}=0\)\(c_{1}=10\)If we write it in slope-intercept form, the correct answer will be as follows;
\(y=-\frac{x}{7} -\frac{10}{7}\)What are the mean and the median for the data set below? 2, 4, 6, 4, 3, 5, 6, 9, 3, 2, 7, 7, 8, 5, 2, 7 Mean: Median: Thx hurry pls no explanation needed
Answer:
mean is 5
median is (5+5)/2 = 5
Step-by-step explanation:
Answer:
median is 5
mean is 5
Step-by-step explanation:
find the surface area of the prism
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
6th grade math (PLS HELP ME)
ASAP WORTH 50 points if done TODAY MARKING BRAINLIST
What does negative 3 over 8 > −1 indicate about the positions of negative 3 over 8 and −1 on the number line?
negative 3 over 8 is located on the right of 0, and −1 is located on the left of 0
negative 3 over 8 is located on the left of 0, and −1 is located on the right of 0
negative 3 over 8 is located on the left of −1
negative 3 over 8 is located to the right of −1
Step-by-step explanation:
this is the answer refer to this ,I typed it myself
pls mark me as brainliest
Answer:
its c
Step-by-step explanation:i like to make step by step i just need the points
Compare. Choose the correct symbol.
A) <
B) >
C) =
Answer:
=
Step-by-step explanation:
The fractions are equal because we can simplify 3/6 to 1/3 as their biggest common divisor is 3
and
we can simplify 2/4 to 1/2 as their biggest common divisor is 2
So we are using the common divisor to simplify both fractions to solve this problem.
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
Find the sum.
(y+5) + (3y-9)
The sum is given by - f(y) = 4(y -1).
We have the following expression -
(y + 5) + (3y - 9)
We have to evaluate the above sum.
Add the following expressions - f(x) = 3x + 10 and g(x) = 6 - x.Now -
f(x) + g(x) = 3x + 9 - (6 - x)
f(x) + g(x) = 3x + 10 - 6 + x
f(x) + g(x) = 4x + 4
f(x) + g(x) = 4(x + 1)
According to the question, we have -
(y + 5) + (3y - 9)
Assume that the sum is represented by the function f(y).
Solving, we get -
f(y) = y + 5 + 3y - 9
f(y) = y + 3y + 5 - 9
f(y) = 4y - 4
f(y) = 4(y - 1)
Hence, the sum is given by - f(y) = 4(y -1).
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Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
There are 2 potential customers, each of whom is interested in buying 1 unit of Link (either Link Professional or Home but not both). Suppose that your objective is to maximize the total revenue from selling the software. Further, you do not know the identity of either buyer and you must sell by posting one price for Link Professional and another price for Link Home. Each buyer seeks to maximize her consumer surplus and may buy Link Professional or Link Home or neither depending on the prices that you post. Please show all intermediate steps and clearly explain your reasoning.
i. What is the optimal price and resulting revenue under the following scenario? What (if anything) would each customer buy?
ii. If you could identify each buyer and make targeted offers, what price would you offer to each and how much revenue would you earn? What (if anything) would each customer buy'?
Scenario The willingness to pay (WTP) of the 2 potential buyers is:
Link Professional Link Home
WTP of Buyer A 600 400
WTP of Buyer B 500 300
Answer:
Step-by-step explanation:
(A)
(i) The optimal price you should post for each of LP and LH is in two combinations:
COMBINATION 1:
$600 for LP and $300 for LH
This combination fetches you $900 (which is the maximum you can earn in this scenario, because each buyer will only buy 1 type of link)
COMBINATION 2:
$500 for LP and $400 for LH
This combination also fetches you $900 revenue.
Why these price combinations? Because you have two constraints:
1. Each buyer is only interested in 1 unit of 1 link type
2. You as a producer or seller, wish to maximize revenue
These are the constraint functions!
(ii) At Price Combination 1,
Mr. A will purchase 1 unit of LP while Mr. B will purchase 1 unit of LH
At Price Combination 2,
Mr. A will purchase 1 unit of LH while Mr. B will purchase 1 unit of LP
(B)
(i) If you could identify each buyer and make targeted offers (offers targeted at each buyer's WTP) you would offer their maximum WTP price to them for each commodity.
That's the 'economic agent' way of thinking; to bargain favourably or in your own case, to maximize revenue.
So, you'll charge Mr. A $600 for LP and $400 for LH
Charge Mr. B $500 for LP and $300 for LH
(ii) Although you thought economically, this particular set of potential customers are price-driven instead of taste-driven so instead of them to purchase LP which is generally more expensive (or of a higher quality), each of them would buy LH!
Your revenue here will now be $400 + $300 = $700
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Which one is right i need this fast
Answer:
The answer for the question is A, D and E
Answer:
a.
Step-by-step explanation:
is b because is answer is b thank you
Listen
It has been reported that 48% of teenagers play video games on their phones. A
random sample of 60 teenages is drawn. Find the probability that the proportion of
teenagers in the sample who play videos games on their phone is less than 0.497.
Write only a number as your answer. Round to 4 decimal places (for example
0.3748). Do not write as a percentage.
Your Answer:
Answer
The probability that the proportion of teenagers in the sample who play video games on their phone is less than 0.497 is 0.6049
How to find the probability that the proportion of teenagersWe can use the normal approximation to the binomial distribution to solve this problem, since
the sample size is relatively large (n = 60) the probability of success (p = 0.48) is not too close to 0 or 1.The mean of the sample proportion is equal to the population proportion, which is 0.48.
The standard deviation of the sample proportion is given by:
σ = √[(p * (1 - p)) / n]
σ = √[(0.48 * 0.52) / 60]
σ ≈ 0.064
To find the probability that the proportion of teenagers in the sample who play video games on their phone is less than 0.497, we can standardize this value using the z-score:
z = (0.497 - 0.48) /0.064
z = 0.266
Using a standard normal distribution calculator, we can find that the probability of getting z-score < 0.266
We have
P = 0.6049
Therefore, the probability of the proportion is approximately 0.6049
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Which expression is equivalent to (4.3x + 4)(-1.8x)?
A.-4.14x² +0.08x
B.-7.74x2 - 7.2
C.-7.74x² - 7.2x
D.-7.74x² + 7.2x
PLSSS ANSWER QUICK
Step-by-step explanation:
jsjsnsnsnnsnskskskskskskwwkwkkww
HELP PLS!!! 50PTS!!! An explanation is welcome!
Answer:
Its 2 on the x axis
Step-by-step explanation:
Simplify the expression.
21 + 49 divided by 7 + 1
Answer:
60 divided by 8
Step-by-step explanation:
60 divided by 8
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
\(\large \sf \underline{Problem:}\)
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
\(\large \sf \underline{Answer:}\)
to reduce the force needed to lift the box and change the direction of the force.
====================================
\(\large \sf \underline{Explanation:}\)
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
====================================
\(╰┈➤\: \huge\color{pink}{\bold{Answer}}\)
To reduce the force needed to lift the box and change the direction of the force\( \: \: \)
\(╰┈➤\: \huge\color{pink}{\bold{Explanation}}\)
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)\(\color{pink}──────────────────────────────\)
\(\mathfrak \red{ - \: Cherrrry \: Red}\)
and
tonnes
3/4
314
tonnes
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
Bayes Theorem shows how to revise a prior probability to obtain a conditional or posterior probability when another events occurrence is known
True Or False
Find the inverse of the following equation: y=2x-3
Step-by-step explanation:
First get x on its own:
Subtract 3 from each side
y - 3 = 2x
Divide through by 2
y/2 - 3/2 = x
or x = y/2 - 3/2
Now simply switch labels: x↔y
y = x/2 - 3/2
Answer:
\(y=\frac{x}{2}+\frac{3}{2}\)
Step-by-step explanation:
To find inverse of an equation, replace the variables x with y and y with x:
x = 2y - 3
Now we get it in slope-intercept form:
x = 2y - 3
Add 3 to both sides.
x + 3 = 2y
Divide both sides by 2.
\(\frac{x}{2}+\frac{3}{2}=y\)
Swap left and right sides.
\(y=\frac{x}{2}+\frac{3}{2}\)
And this is the inverse of the equation y = 2x - 3.
I hope you find my answer helpful.
There were 3450 previously owned homes sold in eastern Washington in the year 2010. The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981. If all possible simple random samples of size 200 are drawn from this population and the mean is computed for each of these samples which of the following describes the sampling distribution of the sample mean?
a. Right skewed with mean of $406,274 and standard deviation of $49,981.
b. Approximately normal with mean $406,274 and standard deviation$249
c. Approximately normal with mean of $406,274 and standard deviation of $49,981.
d. Right skewed with mean of $406,274 and standard deviation $3534
e. Approximately normal with mean of $406,274 and standard deviation $3534
Answer:
e. Approximately normal with mean of $406,274 and standard deviation $3534
Step-by-step explanation:
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 'μ' and standard deviation 'σ' , the sampling distribution of the sample means with size 'n' can be approximated to a normal distribution with mean 'μ' and standard deviation s= σ / √n .Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .
Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .
And,
Standard deviation ⇒ s= σ / √n ⇒ $49981 / \(\sqrt{200}\)
⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534
Let S be the universal set, where:
S={1,2,3,...,28,29,30}
Let sets A and B be subsets of S , where:
Answer:
(A U B U C)={ 3,6,8,9,12,13,14,15,16,18,21,23,24,25,26,30}
(A n B n C) = {14,15}
Step-by-step explanation:
\(S= \{ 1,2,3...,28,29,30 \}\\\\A = \{13,14,15,16 \}\\B= \{3,8,9,12,14, 15,21,30 \}\\C = \{3,6,14,15,18,23,24,25,26 \}\)
Union of sets is the combination of all the values in the given set into one set
\(A \:U \:B \:U \:C = ?\\\\(A \:U \:B \:U \:C ) =\\ \{3,6,8,9,12,13,14,15,16,18,21,23,24,25,26,30\}\)
Intersection of sets is the combination of all the common terms in each set into one set.
\((A \:n \:B \:n \:C ) = ?\\\\(A \:n \:B \:n \:C ) = \{14,15\}\)
The circumference of a circle is 36 feet what is the length of the radious of this circle
Answer: r≈5.73 ft
Step-by-step explanation:
The formula for circumference is C=2πr or C=πd. These 2 equations are equivalent to each other because 2r is d. This problem is asking for radius so we can ignore C=πd.
With 36 ft circumference, we can find the radius by plugging 36 into circumference.
36=2πr
r=36/(2π)
r≈5.73 ft
Overview question 2 of 20, 17 complete
2
When members of the military are in a combat zone, they often eat meals-ready-to-eat (MRES). A typical MRE contains 1,000 calories. If the average soldier eats 3
MREs per day and is deployed for 12 months, approximately how many calories will be consumed by a 43-member platoon of soldiers?
The platoon will consume million calories
(Round to the nearest hundredth as needed.)
Answer:
Step-by-step explanation:
I am getting the ans wait
_____: this function should iterate over the entire list using two nested loops to check for pairs that add up to the target
We can iterate through a list using two nested loops to check for pairs that add up to the target.
The formula for finding pairs that add up to the target is as follows:
For each element (x) in the list, loop through the rest of the list (y) and check if x + y = target
Let's say we have a list of numbers [1,2,3,4] and the target is 5.
We will start by checking if 1 + 4 = 5. Since it does, we have found our first pair.
Then, we will move on to 2 + 3 = 5. This is also true, which gives us our second pair.
We have now looped through the entire list and found all pairs that add up .
By using a formula and calculation, we can iterate through a list using two nested loops to check for pairs that add up to the target.
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Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%