Find a polynomial P(x) with a degree of three and zeros -2,3,5 and passing through the point (2,24)
Answers
\(\begin{cases} x=-2\implies &x+2=0\\ x=3\implies &x-3=0\\ x=5\implies &x-5=0 \end{cases}~\hfill a(x+2)(x-3)(x-5)=\stackrel{0}{y} \\\\\\ \stackrel{\textit{we also know that}}{x = 2\qquad y = 24}\qquad \implies a(2+2)(2-3)(2-5)=24 \\\\\\ a(4)(-1)(-3)=24\implies 12a=24\implies a=\cfrac{24}{12}\implies \underline{a=2} \\\\[-0.35em] ~\dotfill\)
\(2(x+2)(x-3)(x-5)=y\implies 2(x+2)\stackrel{F~O~I~L}{(x^2-8x+15)}=y \\\\\\ 2(x^3-8x^2+15x+2x^2-16x+30)=y\implies 2(x^3-6x^2-x+30)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 2x^3-12x^2-2x+60=y~\hfill\)
Check the picture below.
Related Questions
A customer at an electronics store opened a store credit card to purchase a computer for $1,800. The store put the entire purchase on the credit card with an APR of 17.99%. The customer
pays $125 per month until the balance is paid off. Determine the total amount of interest paid.
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
O $188.09
O $295.01
O $243.11
O $182.45
Answers
The last row of the table will show the total interest paid, which is approximately $243.11.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
To calculate the total interest paid,
we need to first find out how many months it will take to pay off the entire balance.
We can use the following formula to calculate the number of months:
N = -log(1-(r×b/p))/log(1+r)
where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.
In this case,
r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.
Plugging these values into the formula, we get:
N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24
So it will take about 16.24 months to pay off the entire balance.
Using a spreadsheet, we can create a table with the following columns:
Month: 1 to 16
Balance: starting with $1,800 and decreasing by $125 each month
Interest: calculated as the monthly interest rate times the balance
Payment: $125
Total Interest: calculated as the sum of the interest for all previous months
The last row of the table will show the total interest paid, which is approximately $243.11.
Therefore, the value is (C) $243.11.
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Answer: Option C is correct $243.11
Step-by-step explanation: I got it right On the test!!!
A student is graduating from college in 12 months but will need a loan in the amount of $11,650 for the last two semesters. The student may receive either an unsubsidized Stafford Loan
or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of graduation
PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $12,436.41 at graduation
Which loan will have a lower balance, and by how much, at the time of repayment?
O The PLUS loan will have a lower balance by $298.35 at the time of repayment.
O The Stafford loan will have a lower balance by $298.35 at the time of repayment.
O The PLUS loan will have a lower balance by $527.14 at the time of repayment.
O The Stafford loan will have a lower balance by $527.14 at the time of repayment
Answers
Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment
How to calculate the loanUsing the formula for compound interest, the total cost of the loan can be calculated as follows:
Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14
Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28
Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).
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Complete the square to transform the expression x ^ 2 - 2x - 2 into the form a * (x - h) ^ 2 +
k.
(x - 1) ^ 2 + 3
(x - 1) ^ 2 - 3
(x - 2) ^ 2 - 3
O (x - 2) ^ 2 + 3
Answers
By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.
How to complete the square in a quadratic equation
In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:
y = C · (x - h)² + k
First, write the polynomial in standard form:
x² - 2 · x - 2
Second, use algebra properties to expand the expression:
(x² - 2 · x - 2) + 0
(x² - 2 · x - 2) + 3 - 3
(x² - 2 · x + 1) - 3
Third, use the definition of perfect square trinomial:
(x - 1)² - 3
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NO LINKS OR ANSWERING WHAT YOU DON'T KNOW. THIS IS NOT A TEST OR AN ASSESSMENT!!!. Please help me with these math questions. Chapter 10 part 2
3. How do solving for solving to a rational function differ from solving for solutions to a rational inequality? How they are similar?
4. How is the difference quotient of a function determined? And how is the difference quotient related to the secant line? Is there a pattern for the difference quotient of linear functions?
Answers
9514 1404 393
Answer:
3. sign changes in the denominator need to be taken into account
4. difference quotient: (f(x+h) -f(x))/h; It is the slope of the secant line. For linear functions, the slope is constant, as is the difference quotient.
Step-by-step explanation:
3. When solving the equation f(x) = 0, where f(x) is a rational function, only the numerator zeros need to be considered.
When solving the inequality f(x) ≤ 0, or f(x) < 0, both numerator and denominator zeros need to be considered. As with solving any inequality, multiplying or dividing by a negative number changes the sense of the comparison.
Example
f(x) = x/(x-2) changes sign at both x=0 and x=2. Then three regions need to be considered when solving f(x) < 0. Those are x < 0, 0 < x < 2, and 2 < x.
__
4. The difference quotient is defined as ...
dq = (f(x +h) -f(x))/h
The difference quotient is essentially the average slope between (x, f(x)) and (x+h, f(x+h)). That is, it is the slope of the secant line between those two points.
For linear functions, the slope is a constant. The difference quotient is a constant equal to the slope of the line.
Example
f(x) = ax +b . . . . . a linear function with a slope of 'a'
The difference quotient is ...
(f(x+h) -f(x))/h = ((a(x+h)+b) -(ax+b))/h = (ax+ah+b -ax -b)/h = ah/h = a
The difference quotient is the slope of the line.
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Answers
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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The perimeter of square WXYZ is 124. Find the length of WX
Please I need asap
Answers
Answer:
31
Step-by-step explanation:
124 / 4 = 31
If R and J are a linear pair if mR = 3x - 5 and mJ = 5x + 1 find mJ
Answers
Given that the two angles form a linear pair, the measure of angle J is 116°.
What is the measure of angle J?The sum of angles of a linear pair is always equal to 180°.
Given the data in the question;
Measure of angle R = 3x - 5Measure of angle J = 5x + 1Since the sum of angles of a linear pair is always equal to 180°.
Measure of angle R + Measure of angle J = 180°
Plug in the given values and solve for x
(3x - 5) + ( 5x + 1 ) = 180
3x - 5 + 5x + 1 = 180
3x + 5x + 1 - 5 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
Now, the measure of angle J is;
Measure of angle J = 5x + 1
Measure of angle = 5(23) + 1
Measure of angle = 115 + 1
Measure of angle = 116°
Given that the two angles form a linear pair, the measure of angle J is 116°.
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The perimeter of the triangle below is 54 units. Find the value of y.
Answers
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Find the midpoint of the line segment joining the points (-2,-3) and (-4,10)
Answers
THE MIDPOINT FORMULAR IS GIVEN BY
\(( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ \\ = (\frac{ - 2 + ( - 4)}{2} . \frac{ - 3 + 10}{2} ) \\ = ( \frac{ - 6}{2} . \frac{7}{2} ) \\ = ( - 3. \frac{7}{2} )\)
ATTACHED IS THE SOLUTION
When Alana was born, her grandma put $1000 into a money market account that earns 9% interest each year. How much will be in the account when Alana is 21?
Answers
The amount that would be in the account when Alana is 21 is $2890
How to determine the valueWe have to know the formula for simple interest.
This is expressed as;
S.I = PRT/100
Given that the parameters of the formula are enumerated as;
SI is the simple interestP is the principal amountR is the interest rateT is the time takenFrom the information given, substitute the values, we have;
SI = 1000 × 9 × 21/100
Multiply the values,
Then, divide by the denominator, we have;
SI = $1890
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Solve for x in simplest form.
Answers
Answer:
\(x=-\frac{4}{5}\)
Step-by-step explanation:
\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)
Find the product 3 2/5 and 5/8. Express answer in simplest form
Answers
Answer:
2 1/8
Step-by-step explanation:
Hope this helps!!
Answer: 2.125
Step-by-step explanation: 3.4 x 5/8 = 2.125
Fill in the boxes to add the expressions.
(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_
Answers
Using common factor method, sum of the given expressions is 17.14m + 9.37
what is common factor ?
In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.
In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.
According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:
(5.19 + 4.18) + (4m + 3.95m)
9.37 + 7.95m
So, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m
Now, we can use the distributive property to factor out a common factor of m from 7.95m:
9.37 + 7.95m = 4m + (5.19 + 7.95)m
We can factor out a common factor of 1 from (5.19 + 7.95)m:
4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m
Adding the coefficients, we get:
4 + 5.19 + 7.95 = 17.14
Therefore, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.
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The ratio of red paint and blue paint in paint mixture is 3:4 . How much blue paint is needed to make 1400 ml of paint mixture
Answers
According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.
Liter or litre—which is correct in India?Liter and litre are equivalent terms. Liter is favoured by American English, while Liter is utilized by all English-speaking nations inspired by Europe and British English Both red and blue colors have a 3:4 ratio, we require 3 litres of red paint for every 4 litres of blue paint, which implies that we need 3/4 litres of red paint for every litre of blue paint and 6 litres of blue paint for every litre of red paint.Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.
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Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
Answers
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Write the properties used, in order to solve the equation at each step. -1/3(6x-21)=-5(x+1)-2x+7=-5x-5-2x+5x+7=-5x-5x-53x+7-7=-5-73×/3=-12/3x=-4
Answers
Open the bracket on LHS by multiplying with -1/3 and RHS by multiplying with -5 with quantity inside the bracket.
\(\begin{gathered} \frac{-1}{3}\times6x-(\frac{-1}{3}\times21)=-5\times x+(-5)\times1 \\ -2x-(-7)=-5x-5 \\ -2x+7=-5x-5 \end{gathered}\)Add '5x' to LHS (Left-hand side) and RHS (Right-hand side) of the above expression to eliminate the 5x in the RHS.
\(\begin{gathered} -2x+7+(5x)=-5x-5+(5x) \\ (-2x+5x)+7=(-5x+5x)-5 \\ 3x+7=0x-5 \\ 3x+7=-5 \end{gathered}\)Substract '7' from both RHS and LHS of the above expression.
\(\begin{gathered} 3x+7-(7)=-5-(7) \\ 3x+0=-12 \\ 3x=-12 \end{gathered}\)Divide '3' from the RHS and LHS of the above expression.
\(\begin{gathered} \frac{3x}{3}=\frac{-12}{3} \\ x=-4 \end{gathered}\)Thus, the value of x is -4.
Can someone help me with this???
Answers
The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle
I REALLY REALLY REALLY NEED HELP PLS
Answers
The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.
What is Probability?Probability is measure of likelihood or chance of an event occurring. It is expressed as number between 0 and 1, where 0 indicates an impossible event and 1 indicates certain event
Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:
Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.
Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.
Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.
Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.
Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.
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Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can prepare a patient’s prescription. How much Robitussin does the pharmacist need to prepare the prescription?
Answers
Answer:
2/4 i think but im not sure
wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
Answers
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
x =
Two right triangles of different sizes. The first triangle has a leg labeled 10.4 feet and a hypotenuse labeled 12.6 feet. The second triangle has a leg labeled 5.2 feet and a hypotenuse labeled x ft.
PLEASE HELP ASAP
Answers
The hypotenuse of the second triangle (x) = 6.3ft
The scale factor is the ratio of corresponding sides, reduced to the original.
scale factor = 5.2/10.4
= 1/2
Then, x = 12.6 × 1/2
= 6.3 ft
A triangle is a three-sided polygon and is sometimes (less commonly) called a trine. Every triangle has three sides and three angles, some of which may be equal.
A triangle is a closed two-dimensional shape with three sides, three corners, and three corners. A triangle is also a polygon. The figure above is a triangle labeled △ABC. Triangle example. Real-world examples of triangles include sandwiches, traffic signs, coat hangers, and billiard tables.
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ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST
Answers
Answer:
d
Step-by-step explanation:
2*4.5=9
scale1:30
=9*30 =270
Convert to actual scale based on proportion of 1:30
4.5 x 30 = 135 inches
2 x 30 = 60 inches
135 x 60 = 8100 inches^2 though we need this in feet and because we solved for area we need to divide by 12in^2*12in*^2
8100/144 = 56.25 or roughly 56 ft^2
I hope this helps! Let me know if you have any questions. Have a very nice day/night :).
A _____ equation is an equation whose graph is a straight line. answer for me please! worth 15 points!!!
Answers
Answer:
Linear function
Step-by-step explanation:
Juan sold a bicycle at a discount of 15%. If the selling price was $340, find the usual price of the bicycle.
Answers
Answer: $400
Step-by-step explanation:
Discount = 15%
The original price/value of an item is always 100%
So selling price (%) = original price - discount = 100%-15% = 85%
We got selling price as 85%
This implies that 85% = 340
Let's find 1% first, then 100%
1% = 340÷85 = 4
100% = 4 × 100 = $400
The usual (normal/original) price is $400
Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's represent the usual price of the bicycle by P.
Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).
We can express this relationship as an equation:
S = 0.85P
We also know that the selling price of the bicycle was $340.
Substituting S = $340 into the equation above, we get:
$340 = 0.85P
To find P, we can solve for it:
P = $340 / 0.85
P = $400
Therefore, the usual price of the bicycle was $400.
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Helpme with this math
Answers
The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
What is volume?Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:
LitersOunceCubic metersBased on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
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PQ
is tangent to OR at point P. Is each statement true for OR? Drag "true" or "false" below each statement.
R
50 °
P
40°
true
ST is tangent to OR at point 7.
mZRST=mZSRT
false
mZSTR=mZQPR
Answers
The answer to each statement are:
a. ST is tangent to circle R at point T - True
b. m<RST ≅ m<SRT - False
c. m<STR ≅ m<QPR - True
What is a tangent to a circle?A tangent is a straight line drawn in such a way that it intersects externally a point on the circumference of a circle. Thus it touches a circle externally at a point on its boundary.
Considering the diagram and information given in the question, given a circle with center R and tangents PQ, ST. It can be deduce that the statements that are true or false are:
i. ST is tangent to circle R at point T - True
ii. m<RST ≅ m<SRT - False
ii. m<STR ≅ m<QPR - True
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Error Analysis A problem on a test says that 70% of people enjoy the beach. The students are
asked to use the simulation numbers below to estimate the probability that exactly one person says
he or she enjoys the beach. Let the numbers 0-6 represent a person who enjoys going to the beach
and let 7-9 represent a person who does not. One student says that the probability is about 100%.
Estimate the probability that exactly one person enjoys the beach. What error might the student have
made?
(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)
Use the simulation to estimate the experimental probability that exactly one person enjoys the beach
is 40%
Enter your answer in the answer box and then click Check Answer
pan
rema
Answers
Answer:
Probability that exactly one person says he or she enjoys the beach = 80%
Check Explanation for how to get this and which error the studemt that made the 100% claim must have made.
Step-by-step explanation:
The simulation presented is that for a series of two people sample.
Numbers 0 to 6 represents that the beach-goer enjoys going to the beach and numbers 7 to 9 represents that the beach-goer doesn't enjoy going to the beach.
So, the simulation is then obtained to be
(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)
Using the simulation, estimate the probability that exactly one person says he or she enjoys the beach
From the simulation, the ones with exactly one of the two numbers ranging from 0 to 6 to indicate enjoying going to the beach include
(5,8) (2,7) (0,9) (9,0) (1,9) (4,7) (6,7) (7,5)
The probability of an event is defined and expressed as the number of elements in that event divided by the total number of elements in the sample space.
Probabilty that exactly one person says he or she enjoys the beach = (8/10) = 0.80 = 80%
The student claims that this probability is 100%, but the other two simulations that did not satisfy the condition of exactly one person saying that he or she enjoys the beach include
(0,2) and (0,3), which show that in the two cases, the two participants both expressed enjoying going to the beach.
The student's error must have been in counting these two simulations as part of 'exactly one person saying he or she enjoys the beach' which is indeed an error.
Hope this Helps!!!
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
For more details regarding population, visit:
https://brainly.com/question/15889243
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