That m is odd, then the integers between 1 and m − 1 equals 2−1 mod m it must be k=1 and n = 1+m2.
Given an integer m, two integers a and b are congruent modulo m if
m| (a − b).
We write a ≡ b (mod m).
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
I will also sometimes say equivalent modulo m. Notation note: we are using that "mod" symbol in two different ways.
Let n be the inverse of 2( mod m)
Where 1<n<m−1
2n≡1 ( mod m)
⇒ 2n=1+mk
Since m is odd then m=2l+1
⇒ 2n=1+(2l+1)k
Then solve for n(mod m) as that would put it within 1<n<m−1.
As an aside, we only care for 1≤n≤m−1, we don't care about strict inequalities. Indeed, if m=3 then you'd have a problem as there aren't even any integers strictly between 1 and 3−1
Supposing that m = [tex]2l+1[/tex] then [tex]2*(l+1)[/tex] = [tex]2l + 2[/tex] = m+1
We want integer n=1+mk2 between 1 and m−1.
Since m is odd, we need k to be odd, in order for 1+mk to be divisible by 2 so n is an integer.
If k≥3 then 1+mk2>m−1.
If k≤−1 then 1+mk2<1.
So it must be k=1 and n = 1+m2.
Therefore,
That m is odd, then the integers between 1 and m − 1 equals 2−1 mod m it must be k=1 and n = 1+m2.
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Abdoulaye is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Abdoulaye's test score (out of 50) if he got 5 questions wrong? What would be his score if he got
x
x questions wrong?
Answer: 40 and 50-2x.
Step-by-step explanation: you multiply 5*2=10, and subtract that from 50. You would do the same with x, to get 2*x=2x. but you can't subtract 2x from 50 without knowing x, so you leave it as 50-2x.
if a = i − 6k and b = j k, find a × b.
The value of the cross product of two given vectors is = 6i-7j.
We only want to think about a portion of the rod. We first wish to think about a narrow slice of the rod. We can solve a straightforward equation if the thermal energy density is constant across the volume.
A *B stands for the vector product or cross product of two vectors A and B, and the resulting vector is perpendicular to the original two. While the dot product is used to identify the length of a vector or the angle between two vectors, the cross product is typically employed to determine the vector that is perpendicular to the plane surface spanned by two vectors. In three dimensions, the cross product of two vectors, such as A B, equals a vector at right angles to both.
we have a = i - 6k and b= j + k then find a×b
[tex]a*b=\left[\begin{array}{ccc}i&j&k\\1&0&-6\\1&0&1\end{array}\right] \\\\a*b=(6)i-(1+6)j+(0k)\\\\a*b=6i-7j[/tex]
The value of the cross product of two given vectors is = 6i-7j.
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an old fashioned record player spins an album at a rate of 33 1/2 rmp ( revolutions per minute) convert this rate into degrees per second
step by step please
Work Shown:
[tex]\frac{33.5 \text{ rev}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \text{ rev}}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\[/tex]
[tex]=\frac{33.5 \not{\text{r}}\not{\text{e}}\not{\text{v}}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \not{\text{r}}\not{\text{e}}\not{\text{v}}}*\frac{1 \text{ min}}{60 \text{ sec}} \ \text{ ... 'rev' units cancel}\\\\[/tex]
[tex]=\frac{33.5}{1 \text{ min}} *\frac{360 \text{ deg}}{1}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\[/tex]
[tex]=\frac{33.5}{1 \not{\text{m}}\not{\text{i}}\not{\text{n}}} *\frac{360 \text{ deg}}{1}*\frac{1 \not{\text{m}}\not{\text{i}}\not{\text{n}}}{60 \text{ sec}} \ \ \text{ ... 'min' units cancel}\\\\[/tex]
[tex]=\frac{33.5}{1} *\frac{360 \text{ deg}}{1}*\frac{1}{60 \text{ sec}}\\\\[/tex]
[tex]=\frac{33.5*360}{60} \text{ degrees per second}[/tex]
[tex]=201 \text{ degrees per second}[/tex]
Notes:
1 revolution = a full 360 degree turnrpm = revolutions per minuteIn circle J with the measure of minor arc HK= 58°, find m/HLK.
Answer: m/HLK = ??
Answer:
∠ HLK = 29°
Step-by-step explanation:
the measure of the inscribed angle HLK is half the measure of its intercepted arc, that is
∠ HLK = [tex]\frac{1}{2}[/tex] × HB = [tex]\frac{1}{2}[/tex] × 58°= 29°
Please Help!
(This is Recursive Formulas for Algebra II)
The value of the equations are
a₃ = -1
a₄ = -4
a₅ = 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of aₙ = - aₙ₋₁ - aₙ₋₂
The value of a₁ = -4
The value of a₂ = 5
So , when n = 3
Substitute the value of n = 3 in the equation , we get
a₃ = -a₂ - a₁
On simplifying the equation , we get
a₃ = -5 - ( -4 )
a₃ = -5 + 4
a₃ = -1
Substitute the value of n = 4 in the equation , we get
a₄ = -a₃ - a₂
On simplifying the equation , we get
a₄ = - ( -1 ) - ( 5 )
a₄ = + 1 - 5
a₄ = -4
Substitute the value of n = 5 in the equation , we get
a₅ = -a₄ - a₃
On simplifying the equation , we get
a₅ = - ( -4 ) - ( -1 )
a₅ = 4 + 1
a₅ = 5
Hence , the equations are solved
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The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket. Each of the tables gives the prices of various pounds of blueberries at a different supermarket. Which of these tables represents blueberries that are more expensive than those represented by the equation?
Answer: The table that represents blueberries that are more expensive than those represented by the equation p = 3.25b is the one where the prices listed are higher than what would be calculated using the equation p = 3.25b.
Step-by-step explanation:
To determine this, we can substitute different values of b into the equation p = 3.25b and compare the results to the prices listed in each table. For example, if b = 2 (2 pounds of blueberries), the price p would be 3.25 x 2 = 6.5 dollars, according to the equation. If any of the prices in the table is higher than 6.5 dollars for 2 pounds of blueberries, then that table represents blueberries that are more expensive than those represented by the equation p = 3.25b.
It's important to note that the equation given represents a linear equation with a slope of 3.25 and a y-intercept of 0. It's a linear equation that relates the price and weight of blueberries and can be used for any value of weight.
Solve for x in the triangle. Round your answer to the nearest tenth. 58, 14
Answer:
x=108
Step-by-step explanation:
180-58-14=108
Describe how nonresponse might lead to bias in this survey. Does the stated margin of error account for this possible bias? - People who have longer travel times to work might have less time to respond to a survey. This would cause our estimate from the sample to be greater than the true mean travel time to work. The bias due to nonresponse is not accounted for by the margin of error. - People who have longer travel times to work might have less time to respond to a survey. This would cause our estimate from the sample to be less than the true mean travel time to work. The bias due to nonresponse is not accounted for by the margin of error. - People who have longer travel times to work might have less time to respond to a survey. This would cause our estimate from the sample to be less than the true mean travel time to work. The bias due to nonresponse is accounted for by the margin of error. - People who have longer travel times to work might have less time to respond to a survey. This would cause our estimate from the sample to be greater than the true mean travel time to work. The bias due to nonresponse is accounted for by the margin of error. - There is no way of knowing how people who do not respond to the survey will impact the estimate (because they have not responded). The bias due to nonresponse is accounted for by the margin of error.
The stated margin of error account for this possible bias is random error.
The term margin of error is defied as a statistic expressing the amount of random sampling error in the results of a survey
Here we know that the bias due to nonresponse is not accounted for by the margin of error.
And the people who have longer travel times to work might have less time to respond to a survey.
And the calculated estimate from the sample to be less than the true mean travel time to work.
Where as the bias due to nonresponse is not accounted for by the margin of error.
Here we have also know that the the margin of error doesn't account for any mistakes that we've made.
So now we have to look at longer travel times might have less time to respond for a survey right.
Then we get that it only accounts for random error.
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There were 35 gallons of water in a tank and 4.5 gallons of water in a pail. An equal amount of water was poured into the tank and the pail. The ratio of the water in the tank to that pail became 7:2.a. how much water was in the pail at the end?
b.how much water was poured into the pail?
please show work as well ty :)
a. Water in the pail at the end = 12.2 gallons
b. Water poured in the pail = 7.7 gallons
What is ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
Given,
Water in tank = 35 gallons
Water in pail = 4.5 gallons
Ratio of the water in the tank to pail became 7:2 after pouring same amount of water in both.
Let the amount of water poured in the tank and the pail is x
Then ratio of water in tank to pail
(35 + x)/(4.5 + x) = 7/2
70 + 2x = 31.5 + 7x
5x = 38.5
x = 38.5/5
x = 7.7
Water poured in pail and tank = 7.7 gallons
Total water in pail = 4.5 + 7.7 = 12.2 gallons
Hence,
a. there was 12.2 gallons of water in the pail at the end
b. 7.7 gallons of water was poured into the pail.
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Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
The graph of g(x) = -f(x + 4) is the reflection of the graph of f(x) = |x| about the x-axis, translated 4 units to the left.
How do we plot the graph?The graph of f(x) = |x| is a V-shape with the vertex at the origin. The graph of g(x) will have the same V-shape, but with the vertex located 4 units to the left of the origin and reflected about the x-axis.
Therefore, g(x) = -f(x + 4) is the reflection of the graph of f(x) = |x| about the x-axis, translated 4 units to the left. It could be concluded that the correct answer is as given above.
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Please explain on how to solve for the second answer.
what is the value of completing a centerline perimeter calculation?
The value of completing a centerline perimeter calculation is vast, as it helps in various fields by providing precise and accurate information on the length of a curved structure.
The centerline perimeter calculation is a mathematical formula used to find the length of a circular arc, and it is widely used in engineering, construction, and surveying.
One of the most significant values of centerline perimeter calculation is its use in the construction industry.
Architects and engineers use the formula to determine the amount of material required to build a curved structure, such as a bridge or a circular building.
It helps them to determine the length of the curved portion of the structure and the number of materials needed to construct it.
This information is critical for budgeting, scheduling, and ensuring that the structure is built to the specified standards.
This information is necessary for the construction of new roads and the improvement of existing ones.
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Write an expression for this sequence
Raise c to the 6th power, then subtract the result from 7
Answer:
[tex]c^6 -7[/tex]
Step-by-step explanation:
c to the sixth power is [tex]c^6[/tex], and this minus 7 is [tex]c^6 -7[/tex].
Answer:
7 - c^6
Step-by-step explanation:
First, calculate the value of c raised to the 6th power: c^6
Then, subtract the result from 7: 7 - c^6. The expression represents the calculation of raising c to the 6th power, and then subtracting the result from 7.
Five litres of paint cost R575 work out the cost of fifteen litres of paint
Answer:
It will cost R1725
The ratio for this problem is 5: 575.
(litres of paint: price)
We first need to figure out how to go from 5 to 15.
5 × 3 = 15To go from 5 to 15, we multiply the 5 by 3.
Now that we have this, we need to multiply the other side of the ratio (575) by 3.
575 × 3 = 1725The ratio now looks like this:
15: 1725
Therefore, for every fifteen litres of paint, it will cost R1725.
8x2 10x 3 a. find two numbers whose product is 8•3=24 and whose sum is 10. b. write 10x using the factors from part (a). c. factor by grouping.
The product of two numbers whose sum is 10 and whose product is 24 is 4 and 6. 10x can be written as (4x6)x3 and factored by grouping as (4x3)+(6x3).
a. The product of two numbers is 24, and the sum is 10. This means that 4 and 6 must be the numbers, because 4x6=24 and 4+6=10.
b. 10x can be written as (4x6)x3, since 4x6=24 and 24x3=10x.
c. 10x can be factored by grouping as (4x3)+(6x3). This is because 4x3=12 and 6x3=18, and 12+18=30, which is the same as 10x.
The product of two numbers whose sum is 10 and whose product is 24 is 4 and 6. 10x can be written as (4x6)x3 and factored by grouping as (4x3)+(6x3).
The complete question is :
Find two numbers whose product is 8•3=24 and whose sum is 10, write 10x using the factors from part (a), and factor by grouping. The answer is that the two numbers are 4 and 6, 10x can be written as (4x6)x3, and factored by grouping as (4x3)+(6x3).
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a large company is concerned that many of its employees are in poor physical condition, which can result in decreased productivity. to determine how many steps each employee takes per day, on average, the company provides a pedometer to 50 randomly selected employees to use for one 24-hour period. after collecting the data, the company statistician reports a 95% confidence interval of 4547 steps to 8473 steps. (a) interpret the confidence interval. (b) what is the point estimate that was used to create the interval? what is the margin of error? (c) recent guidelines suggest that people aim for 10,000 steps per day. is there convincing evidence that the employees of this company are not meeting the guideline, on average? explain.
(a) Confidence interval of 4547 to 8473 steps means the average number of steps taken by employees falls in that range with 95% confidence.
(b) The point estimate was 6510 and the margin error is 1963
(c) Yes, there is convincing evidence that the employees of this company are not meeting the guideline, on average
If we take many samples of size 50 and calculate many intervals, about 95% of the interval will capture the true average of steps for an employee in a day.
We are 95% confident that the interval from 4547 to 8473 steps contains the true average steps for employees/day.
Point estimate: halfway between 4547 and 8473 = (4547 + 8473) / 2 = 6570The margin of error: (8473 - 4547) / 2 = 1963Since all plausible values in our interval are under 10,000, there is convincing evidence that the employees are not meeting this guideline, on average.
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50% off Min. Spend RM1 Capped at RM5 Use Later. What does this mean? Ty
Buyers get a percentage off on any purchase above the Minimum Basket Price. It will also be capped at the Maximum Discount Price if you choose to set a limit. E.g. "10% OFF with Min.
Tom used the steps shown to find the value of the expression 3,912 ÷ 12:
Step 1. There are 300 12s in 3,912
Step 2. 3,912 − 3,600 = 312
Step 3. There are 20 12s in 312
Step 4. 312 − 220 = 92
Step 5. There are 7 12s in 92
Step 6. 92 − 84 = 8
Step 7. Quotient = 300 + 20 + 7 = 327 with a remainder of 8
In which step did Tom first make an error?
a
Step 2
b
Step 4
c
Step 6
d
Step 7
Tom first makes an error in step 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3,912 ÷ 12
12 ) 3912 ( 326
36
312
240
72
72
0
Step 1.
There are 300 12s in 3,912
Step 2.
3,912 − 3,600 = 312
Step 3.
There are 20 12s in 312
Step 4.
312 − 240 = 72
Step 5.
There are 7 12s in 72
Step 6.
72 − 72 = 0
Step 7.
Quotient = 300 + 20 + 7 = 326 with a remainder of 0
Thus,
Step 4 is an error.
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what is $\frac{0.\overline{72}}{0.\overline{27}}$? express your answer as a common fraction in lowest terms.
The value for $\frac{0.\overline{72}}{0.\overline{27}}$ as a common fraction in lowest terms is 2.666
To convert repeating decimals to fractions, we can use the following method:
Let's call the repeating decimal 0.72... = x, and the repeating decimal 0.27... = y.
Then 10x = 7.2... and 10y = 2.7...
Subtracting the original expressions from the above:
10x - x = 7.2... - 0.72...
=> 9x = 7
=> x = 7/9
And similarly,
10y - y = 2.7... - 0.27...
=> 9y = 2
=> y = 2/9
Therefore,
0.72... / 0.27... = x / y = (7/9) / (2/9) = 7/2 = 3.5
A repeating decimal is a decimal that has a repeating pattern of digits after the decimal point. To convert a repeating decimal to a fraction, we need to identify the repeating pattern and convert it to a fraction. This is done by multiplying both the numerator and denominator by a power of 10 that makes the repeating part an integer.
Then, the resulting fraction can be simplified to its lowest terms. In this case, the repeating decimals 0.72... and 0.27... can be converted to the fractions 7/9 and 2/9 respectively, and dividing the two results in a fraction of 7/2 can be simplified to 3.5.
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plsss helppp meee anyonee plsss
Answer:
1) 111, 112
2) 12, 9
3) -12
4) 31, 32, 33
Step-by-step explanation:
1) n + (n+1) = 223
2n + 1 = 223
2n=222
n = 111 numbers: 111, 112
2) n + (n-3) = 21
2n - 3 = 21
2n=24
n=12 numbers: 12, 9
3) 2*(n+5) = n-2
2n + 10 = n - 2
n = -12 number: -12
4) n + (n+1) + (n+2) = 96
3n + 3 = 96
3n = 93
n=31 numbers: 31, 32, 33
Please help me will greatly appreciate it TYSM
Maria, a teacher at Learn4Life created a histogram for the vacations she's taken in the last ten years. She hasn't added the 7-day vacation yet she took this summer. Using your pencil, draw and add the 7-day vacation Maria took this summer to the histogram on the right. help help help help help ): please
According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.
How to fill in the graph correctly?To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:
4 - 67 - 910 - 1213 - 15According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.
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At a football stadium, 10% of the fans in attendance were teenagers. If there were 250 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
2500 people
Step-by-step explanation:
There are several ways of figuring this one out, we could do a proportion
[tex] \frac{10\%}{100\%} = \frac{250}{x} [/tex]
Cross multiply and divide
10x = (250)(100)
10x = 25000
Dividing both by 10
x = 2,500 people were at the stadium
Answer:
2500
Step-by-step explanation:
44x+22y=2024
x+y=60
use process of elimination
Answer:
below
Step-by-step explanation:
We need to eliminate oneof the variables....I'll choose 'y'
x+ y = 60 <======multiply this equation - 22 to get
-22x -22y = -1320
44x =22y = 2024 Now add the two equations together to eliminaty 'y'
22x = 704 then x = 32 x+y = 60 so y = 28
Evaluate the following: F(4; 5) (the incomplete gamma function) and F(5; 4) P(X < 5) when X has a standard gamma distribution with a = 7. P(3 < X < 8) when X has the distribution specified in (d).
The values of F(4; 5) (the incomplete gamma function) and F(5; 4) are 4.41 and 8.904
The value of the incomplete gamma function can be obtained as:
F(4; 5) = ₀∫⁵ t⁴⁻¹ . e^(-t) dt
= г(4) ₀∫⁵ (t⁴⁻¹ . e^(-t)) г(4) dt
= г(4) [P(T < 5)] ( the integral is the density function of T ∼ Gamma(4, 1) )
= (3!) [P(2(1)T < 5(2) (1) )]
= 6 [P( X²₈ < 10 )]
= 6 [0.735]
= 4.41
F(5; 4) = ₀∫⁴ t⁵⁻¹ . e^(-t) dt
= г(5) ₀∫⁴ (t⁵⁻¹ . e^(-t)) г(5) dt
= г(5) [P(T < 4)] ( the integral is the density function of T ∼ Gamma(4, 1) )
= (4!) [P(2(1)T < 4(2) (1) )]
= 24 [P( X²₁₀ < 8 )]
= 24 [0.371]
= 8.904
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according to a survey, 45% of people carry at least 1 reusable water bottle. if 5 people are selected randomly, what is the probability that at least 3 of them will be carrying a reusable water bottle? round your answer to the nearest tenth of a percent.
The probability that at least 3 of them will be carrying a reusable water bottle is 74.6%
Here it is given that probability of people who carry at least 1 reusable water bottle is p = 0.58.
A random sample of n = 5 people is selected.
This data follows a binomial distribution, with success denoted by a person carrying t least 1 reusable water bottle. The probability mass function of the binomial distribution is,
[tex]P(X=x)=(^n_x)P^x(1-P)^n^-^x; x=0,1,2,...0 < P < 1[/tex]
Compute the probability that at least 3 of them will be carrying a reusable water bottle as follows:
P (X ≥ 3) =P(X=3)+P(X=4)+P(X=5)
[tex]P(X\geq 3)=(^5_3)0.58^3(1-058)^5^-^3+(^5_4)0.58^4(1-058)^5^-^4+(^5_5)0.58^5(1-058)^5^-^5[/tex]
P(X≥3)=0.449538048+0.237646416+0.0656356768
P(X≥3)=0.746821224
The percentage is,0.746821224 × 100 = 74.6%.
Thus, the probability that at least 4 of them will be carrying a reusable water bottle is 74.6%.
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Please I NEED HELP !
function g can be thought of as translated (shifted) version of f(x) = x^2
wrote the equation for g(z)
g(x) =
Graph the system below and write its solution.
y = -1/2 x + 2
x+2y=2
Note that you can also answer "No solution" or "Infinitely many" solutions.
The first equation into the second to eliminate [tex]y[/tex] and solve for [tex]x[/tex]
[tex]$$\begin{gathered}-x+4\left(\frac{1}{4} x-3\right)=-4 \\\Rightarrow \\-x+x-12=-4 \\\Rightarrow \\-12=-4 \\\Rightarrow \\x=3\end{gathered}$$[/tex]
Define "Infinitely many" solutions?At infinite solutions, both sides are equal. For example, 6x + 2y - 8 = 12x +4y - 16. Simplifying an equation with an infinite-solution formula or method results in an infinite solution, because both sides are the same. Infinity represents infinity or infinity. It is usually represented by the “∞” symbol.
Some equations have infinitely many solutions. In these equations any value of the variables makes the equation true. When you try to solve an equation to get a variable or number equal to itself, you find that the equation has infinitely many solutions.
This system of linear equations can be graphed on a [tex]$x-y$[/tex] plane. The first equation represents a line with slope [tex]\frac{1}{4}[/tex] and [tex]$y$[/tex]-intercept [tex]-3[/tex]. The second equation represents another line with slope [tex]-1[/tex] and [tex]$y$[/tex]-intercept [tex]-4[/tex]. The intersection point of the two lines is the solution to the system of linear equations.
To find the solution, we can substitute the first equation into the second to eliminate [tex]y[/tex] and solve for [tex]x[/tex]
[tex]$$\begin{gathered}-x+4\left(\frac{1}{4} x-3\right)=-4 \\\Rightarrow \\-x+x-12=-4 \\\Rightarrow \\-12=-4 \\\Rightarrow \\x=3\end{gathered}$$[/tex]
We can then use either equation to find the value of [tex]y[/tex]
[tex]$$\begin{gathered}y=\frac{1}{4} x-3 \\\Rightarrow \\y=\frac{1}{4} \cdot 3-3 \\= \\y=-2\end{gathered}$$[/tex]
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high school dropouts make up 20.2% of all americans aged 18 to 24. a vocational school that wants to attract dropouts mails an advertising flyer to 25,000 persons between the ages of 18 and 24. if the mailing list can be considered to be a random sample of the population, what is the probability that at least 5000 dropouts will receive the flyer?
The probability that at least 5000 dropouts will receive the flyer is 0.7852
The probability of high school dropouts is p₀ = 20.2% or 0.202
We, know that probability is the number of favourable outcomes divided by the number of possible outcomes.
Total number of flyers sent to persons between the ages of 18 and 24 = 25000 = Total number of possible outcomes
Number of dropouts who receive the flyer = 5000 = number of favourable outcomes
Probability(p) = No. of favourable outcomes/ No. of possible outcomes
p = 5000/25000
p = 0.2
Now,
z = (p - p₀)/( (p₀ (1 - p₀) ) / n)^0.5
z = (0.2 - 0.202)/( (0.202 (1 - 0.202) ) / 25000)^0.5
z = - 0.79
Hence, P(z > −0.79) = P(z < 0.79) = 0.7852
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Paid $53. 99 for a 40 lb bag of dog food at Cotco. At Target, they are elling the ame dog food for $28. 99 for a 20 lb bag. Find the unit price in dollar per pound. Then tate which bag of dog food i the better buy baed on the unit price. ]
Since the unit price per pound of the dog food we bought is lesser than that of Target, we got a better buy.
To find the unit price per pound, we need to divide the price paid by the amount bought (in pounds)
`Now we have paid $53.99 for 40 pounds
Target charges $28.99 for 20 pounds.
Hence the unit price per pound we paid will be
53.99/40
= $1.34975 /lb
Now the unit price per pound charged by Target is
$28.99/20 lb
= $ 1.4495 /lb
Hence here we can clearly see 1.34975 < 1.4495
Hence, we bought the dog food at a better price than that at Target.
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Complete Question
I paid $53.99 for a 40 lb bag of dog food at Costco. At Target, they are selling the same dog food for $28.99 for a 20 lb bag. Find the unit price in dollars per pound. Then state which bag of dog food is the better buy based on the unit price.
