can someone explain how to do this question and how to solve problems like this?
Answers
There are two components to this question:
(A) People that are certain
(B) People who believe the balloon will shrink
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Focus on aspect (A) for now. So that means highlight the values in the "certain" row, which is row 1. Add up these values: 9+8+6 = 17+6 = 23. There are 23 people who are certain.
Now move onto aspect (B). Highlight the "shrink" column which is column 1. Add up the values: 9+4 = 13. There are 13 people who believe it will shrink.
There are 23+13 = 36 people who either (A) are certain or (B) believe it will shrink and 9 who fit both (A) and (B). Subtract out these 9 because they are double-counted. So we go from 36 to 36-9 = 27
Overall there are 27 people that either are certain, believe the balloon will shrink, or fit both categories.
This is out of 38 students total (add up all the values shown in the table).
Divide those two values: 27/38
We reduce if possible. In this case, we cannot reduce as 27 and 38 have no common factors
----------------------------------------------------------
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The final answer is the fraction 27/38
Related Questions
The municipality of Waterloo needs $915,000 from property tax to meet its budget. The total value of
assessed property in Waterloo is $14,000,000. What is the tax rate per dollar? (Round your answer to the
nearest thousandth.)
A. $.07
B. $.065
C. $.0655
D. $.071
Answers
The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost two dollars and fifty cents per bag and salsa, which costs four dollars per jar. The chips & salsa budget you are given totals $60. The inequality 2.5x + 4y 60 represents the possible combinations of chips (x) and salsa (y) you can buy. graph of the inequality 2.5 x plus 4 y is less than or equal to 60 Which of the following does not represent a solution to the inequality?
Answers
Explanation:
These are the propositions missed:
10 bags of chips and 2 jars of salsa
20 bags of chips and 2 jars of salsa
14 bags of chips and 5 jars of salsa
18 bags of chips and 6 jars of salsa
Solution:
The inequality that you have to graph is:
2.5x + 4y ≤ 60
To graph that you:
1) draw the line 2.5x + 4y = 60
That is the same that:
4y = -2.5x - 60
y = - (2.5/4)x - 60/4
y = -0.625x - 15
That is a line with y-intercept 15 and x-intercpet 15/0.625 = 24.
So, use those two points (0,15) and (24,0) to draw the line.
The sign ≤ implies that the region of solution is below the line (of course in the first quadrant, because x ≥ 0 and y ≥ 0).
The pair (18,6) is not inside the region (it is aboe the line).
You can prove it:
2.5(18) + 4 (6) = 45 + 24 = 69 which is greater than 60, and so it does not fit into the inequality. This is, the money to spend on 18 bags of chips and 6 jars of salsa exceeds the budget of $60. That is why that option is not a solution.
Which of the following points are solutions to the system of inequalities shown below? Check all that apply. y -2x + 6 x > 1
A. (3, 0)
B. (2, 1)
C. (2, 11)
D. (0, 6)
E. (5, -6)
F. (1, 4)
Answers
y -2x + 6 ---------y= 2x-6
x > 1
using a graph tool
see the attached figure
case A. (3, 0)---------> is solution
case B. (2, 1)---------> is solution
case C. (2, 11)---------> is solution
case D. (0, 6)---------> is not solution
case E. (5, -6)---------> is solution
case F. (1, 4)---------> is not solution
evaluate ab - 0.5b when a =1 and b=5
Answers
Answer:
ya 2.5
Step-by-step explanation:
What is the 32nd term of the arithmetic sequence -12 -7?
Answers
The answer is a₃₂=143
PLEASE!!!!!!!!!!!!!HURRY!!!!!!!!!!!!!!!!!!!!!!!20 points!!!!!!!!!!!!!!!!!!!!!!1
A group of children are asked whether they prefer vanilla or chocolate ice cream. The data are collected in the table.
Answers
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is ?
Answers
Solution:
Let volume of cylinder be K times more than volume of Cone.
⇒K × Volume of Cone = Volume of Cylinder
[tex]K \times \frac{\pi\times r^2 \times h }{3}=\pi \times R^2 \times H\\\\K \times 5^2 \times 10= 3 \times 10^2 \times 20\\\\250 K=3 \times 100 \times 20\\\\K=\frac{6000}{250}\\\\K=24[/tex]
⇒Number of times one needs to use the completely fill cone to completely fill the cylinder with water is=24
Match the systems of equations to their solutions. Tiles 2x + y = 12 x = 9 − 2y x + 2y = 9 2x + 4y = 20 x + 3y = 16 2x − y = 11 y = 11 − 2x 4x − 3y = -13 y = 10 + x -3x + 3y = 30 2x + y = 11 x − 2y = -7 Pairs x = 2, y = 7 arrowBoth x = 5, y = 2 arrowBoth x = 3, y = 5 arrowBoth x = 7, y = 3 arrowBoth
Answers
1) systems of equations 1
2x + y = 12
x = 9 − 2y
using a graph tool
see the attached figure
the solution is the point ------------> (5,2)
2) systems of equations 2
x + 2y = 9
2x + 4y = 20
using a graph tool
see the attached figure
the solution is the point -------> has no solution the two lines are parallel
3) systems of equations 3
x + 3y = 16
2x − y = 11
using a graph tool
see the attached figure
the solution is the point ------------> (7,3)
4) systems of equations 4
y = 11 − 2x
4x − 3y = -13
using a graph tool
see the attached figure
the solution is the point ------------> (2,7)
5) systems of equations 5
y = 10 + x -----------> multiplying by 3-----> 3y=30+3x------> -3x + 3y = 30
-3x + 3y = 30
equation 1 and equation 2 are equals--------> the system has no solution
6) systems of equations 6
2x + y = 11
x − 2y = -7
using a graph tool
see the attached figure
the solution is the point ------------> (3,5)
Brenda invests $4,848 in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years?
Answers
She invests some amount in a saving account of fixed interest compounded half-yearly. It says to find its Future Value after six years.
The principal amount is P = $4,848.
Annual interest rate is 5% i.e. r = 0.05
Compounding period is two times per year i.e. n = 2.
Time of investment is t = 6 years.
We know the formula of Future Value is given by :-
[tex] FV=P*(1+\frac{r}{n})^{nt} [/tex]
We can plug the given values in the formula to calculate the answer.
[tex] FV = 4848*(1+\frac{0.05}{2})^{(2*6)} \\\\
FV = 4848*(1+0.025)^{(12)} \\\\
FV = 4848*(1.025)^{(12)} \\\\
FV = 4848*(1.344888) \\\\
FV = 6520.02102 [/tex]
Hence, future value of investment after six years is 6,520.02 dollars.
The question involves calculation of compound interest. The formula to use is A = P (1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate, t is the time in years, n is the number of times interest is compounded per year and A is the amount of money accumulated after n years.
Explanation:This question involves the concept of compound interest. Compound interest is calculated each period on the original deposit, or principal, along with any interest previously earned. Unlike simple interest which only takes into account the principal amount, compound interest accounts for the interest that accumulates on the initial amount as well as the interest that has previously been added.
In Brenda's case, as she's benefiting from compounded interest, the formula to use here is A = P (1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate, t is the time in years, n is the number of times interest is compounded per year and A is the amount of money accumulated after n years.
So, plug in the given values: P=$4848, r=0.05 (as 5% = 5/100), t=6, and n=2 (since it's compounded semi-annually). This will allow us to find the final account balance after 6 years.
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Please helpppp now 99 points
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −15
0 −10
1 −5
g(x)
g(x) = 2x + 8
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answers
In order to find the slope of [tex]f(x)[/tex] we can use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, using first two pairs from the given table we have:
[tex]m=\frac{-10-(-15)}{0-(-1)}=\frac{-10+15}{1}=\frac{5}{1}=5[/tex]
Every linear function has the following general look:
[tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the function.
Applying that general look to our function [tex]g(x)[/tex] we see that it's slope equals 2.
So, we can say that value of [tex]f(x)[/tex] is growing two and half more times faster then value of [tex]g(x)[/tex] as their slopes' ratio is 5:2.
Part B:
The y-intercept of function is it's value in case x is equal 0.
Using the given table we find that the y-intercept of [tex]f(x)=-10[/tex]
As for [tex]g(x)[/tex], let's substitute x value with 0 and solve the equation:
[tex]g(x)=2\cdot0+8=8[/tex]
So, the function [tex]g(x)[/tex] has greater y-intercept then function [tex]f(x)[/tex].
If you make random guesses for 10 multiple-choice test questions (each with five possible answers), what is the probability of getting at least 1 correct? if a very lenient instructor says that passing the test occurs if there is at least one correct answer, can you reasonably expect to pass by guessing?
Answers
P(X ≥ 1) = 1 - P(X = 0)
This is because the only other option than getting at least one correct is to get nothing correct.
Since there is a 1/5 chance of getting each question correct, there is a 4/5 chance of getting each question wrong:
1 - P(X = 0) = 1 - (4/5)^10 (since there are 10 questions, with a 4/5 chance of missing each one)
= 1 - 0.1073741824 ≈ 0.8926 = 89.26% chance of getting at least one question correct. Given this probability, it is reasonable to expect to pass by guessing.
The probability of getting at least 1 correct answer when guessing on a multiple-choice test can be found by subtracting the probability of getting all answers wrong from 1. Whether it is reasonable to expect to pass by guessing depends on the passing percentage and the probability of getting at least 1 answer correct.
Explanation:To find the probability of getting at least 1 correct answer when making random guesses for 10 multiple-choice test questions, we can look at the probability of getting 0 correct and subtract it from 1. Since each question has 5 possible answers, the probability of getting a question wrong is 4/5. So the probability of getting all 10 questions wrong is (4/5)^10. Therefore, the probability of getting at least 1 correct answer is 1 - (4/5)^10.
To determine if you can reasonably expect to pass the test by guessing, we need to compare the probability of getting at least 1 correct answer to the passing percentage. If the probability of passing is higher than the passing percentage, then it is reasonable to expect to pass by guessing.
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2. Find x and y, given that line KL and line MN are parallel. Show all work
Answers
Answer:
[tex]x=9.5[/tex]
[tex]y=8.8[/tex]
Step-by-step explanation:
We have been given a diagram of triangles. We are asked to find the value of x and y.
We can see that triangle JKL and JMN share same vertex that is angle J. Since line KL is parallel to line MN, therefore, there corresponding angles will be equal.
Therefore, Angle-angle-angle similarity [tex]\Delta JKL\sim \Delta JMN[/tex].
Since corresponding sides of similar triangles are always proportional, so we can set a proportion for the sides of our given triangles as:
[tex]\frac{x-2}{5}=\frac{12}{8}[/tex]
Upon cross multiplying our equation we will get,
[tex]8(x-2)=12*5[/tex]
[tex]8x-16=60[/tex]
Let us add 16 to both sides of our equation.
[tex]8x-16+16=60+16[/tex]
[tex]8x=76[/tex]
Let us divide both sides of our equation by 8.
[tex]\frac{8x}{8}=\frac{76}{8}[/tex]
[tex]x=9.5[/tex]
Therefore, x equals 9.5.
We can also set a proportion to solve for y as:
[tex]\frac{y}{22}=\frac{8}{12+8}[/tex]
[tex]\frac{y}{22}=\frac{8}{20}[/tex]
Upon cross multiplying our equation we will get,
[tex]20y=22*8[/tex]
[tex]20y=176[/tex]
Let us divide both sides of our equation by 20.
[tex]\frac{20y}{20}=\frac{176}{20}[/tex]
[tex]y=8.8[/tex]
Therefore, y equals 8.8.
If h(x) = 6 - x, what is the value of ( h o h)(10)?
Answers
Although if x=10 then 6-10=-4.
A) Inverse Property of Multiplication
B) Commutative Property of Addition
C) Commutative Property of Multiplication
D) Associative Property of Addition
Answers
This is the Commutative property of multiplication, which states that two numbers can be multiplied in any order to create the same number.
That tells us that when we're multiplying, it gives us the same value when you multiply two numbers in different orders. Just like here, we have the same numbers, -7/8 and 10, but the difference is they're in different orders, they mean the same thing. For example:
4 *5 = 5* 4
Keep in mind that it doesn't always work with other operations. Observe:
4-5 ≠ 5-1
Also,
4/5 ≠ 5/4
Commutative doesn't work in subtraction and division, only multiplication and adding.
Hope this helps!
Can someone graph these 2 equations for me??
y=5(1/2)^x +4
y=4(1/6)^(x+2)
Answers
What is an equivalent expression to 4+3(5+x)
Answers
Elizabeth rode her bike 6 1/2 miles from her house to the library and then another 2 2/5 miles to her friend Milo's house. If Carson's house is 2 1/2 miles beyond Milo's house, how far would she travel from her house to Carson's house?
Answers
Answer:
Step-by-step explanation:
11.4
A university football stadium has 1/6 of its students' seats in the end zones. If tickets are randomly selected and mailed to students, what is the probability that a certain student would get end zone seats at all 5 home games?
Answers
Answer:
1/7,776
Step-by-step explanation:
the odds of getting an end zone seat once is 1/6 so you multiply that by itself 5 times to get your answer.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 = (1/6)^5 = 1/7,776.
The probability that a certain student would get end zone seats at all 5 home games is [tex]\frac{1}{7776}[/tex]
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given,
A university football stadium has 1/6 of its students' seats in the end zones
Probability = Number of Favorable outcome / Number of total outcome
Probability that a certain student would get end zone = [tex]\frac{1}{6}[/tex]
Probability that a certain student would get end zone in 5 game = [tex](\frac{1}{6} )(\frac{1}{6} )(\frac{1}{6} )(\frac{1}{6} )(\frac{1}{6} )=\frac{1}{7776}[/tex]
Hence, the probability that a certain student would get end zone seats at all 5 home games [tex]\frac{1}{7776}[/tex]
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What is the measure of C to the nearest degree?
Answers
Answer:
43
Step-by-step explanation:
I got it right on my quiz.
In this parallelogram m angle bad =75 so m angle bcd
Answers
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
∠B=180°-∠A=180°-75°=105°
∠B=105°
Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°
Thus, the sum of any two adjacent angles of a parallelogram is 180°.
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°
PLEASE FULL ANSWERS! need all the help I can get
Answers
You need a value at x = 2 that makes 4x = 8
2 equations, 2 unknowns. This think has to have an answer.
cx^2 + d = 2 when x = 1
c(1)^2 + d = 2
c + d = 2
cx^2 + d = 8 when x = 2
4c + d = 8
c + d = 2 Subtract
3c = 6
c = 2
Now go back and solve for d
c + d = 2
d = 0
==========
That should make it continuous at every point.
You should take note that h(x) has a problem at x = 2. The graph is well behaved at less than x =2 and it is well behaved at x > 2. It is just x = 2 that's the double ugly part of the problem. Check your givens above to make sure you understand what I'm saying. If you don't give me a shout.
How many x intercepts appear on the graph of this polynomial function?
Answers
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer:
2 x intercepts appear on the graph of this polynomial function
Answer:
B) 2 x-intercepts
Simplify the expression. 3–9 • 36 • 36
Answers
To simplify expressions, one needs to apply rules correctly, such as combining like terms and using exponentiation rules. The process includes correctly applying the rule that simplifies multiplications of the same base by adding their exponents. Cubing exponentials involves multiplying the original exponent by 3.
Explanation:To simplify mathematical expressions, it's crucial to follow the correct rules and operations. In this case, the example provided shows the exponentiation and multiplication rules. Specifically, when dealing with expressions like 3².3⁵, this is equivalent to multiplying 3 x 3 and then taking that result and multiplying it by 3 five more times. According to the rule xPx9 = x(p+q), where x is the base and p and q are the exponents, it simplifies to adding the exponents when the base number is the same and multiplied together.
The process of simplifying expressions involves several steps:
Identifying like terms and combining them.Applying the rules of exponents correctly.Dividing or multiplying to simplify equations as demonstrated with loop equations, dividing by a constant to simplify the equation.Additionally, when cubing exponentials, one should cube the digit normally and multiply the existing exponent by 3, a rule demonstrated in squaring operations as well.
What is the Value of X? Sin(x+22 degree) = Cos( 2x-7 degree) I might have a idea of what it is but I’m not sure
Answers
Hey !!
Check the attachment.
Hope it helps you :)
The value of x in the equation Sin(x+22 degrees) = Cos(2x-7 degrees) can be found by using the identity sin(90° - x) = cos(x), leading to x = 22.67° (or in radians by converting degrees to radians).
To find the value of x in the equation Sin(x+22 degrees) = Cos(2x-7 degrees), we can utilize the trigonometric identity sin(90° - x) = cos(x). By setting the angle inside the cosine to equal 90° - (x + 22°), we can equate this to (2x - 7°) as both represent the same cosine value.
So we have the equation 90° - (x + 22°) = 2x - 7°. Solving for x, we combine like terms: 68° = 3x, which then gives us x = 68°/3. Therefore, x = 22.67°, which is the angle in degrees.
If we needed to find x in radians, we would have to convert degrees to radians by using the conversion factor: π radians = 180°. This would yield x as x = (22.67°/180°) * π.
Which of the binomials below is a factor of this trinomial? 5x2 + 20x + 15
Answers
5 x^2 + 20 x + 15
Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)
The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):
Answer: 5 (x + 3) (x + 1)
factor X + 1 is the answer
If you double Lucien’s age and then subtract 6, you get Paul’s age. 2 years ago the sum of their ages was 29. How old is each person?
Answers
Answer:
Step-by-step explanation:
PLEASE HELP!! FIRST CORRECT ANSWER GETS BRAINLIEST!!
Answers
∠RQW and ∠TQU are vertical angles
∠RQS and ∠UQV are vertical angles
and so on
B should be your answer
hope this helps
What is the approximate area of the shaded sector in the circle shown below?
Answers
Answer:
Correct option is B.
Step-by-step explanation:
Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.
[tex]Radius=r=16 in.[/tex]
[tex]Angle=\theta=110^{\circ}[/tex]
[tex]Area of sector=}\frac{\theta}{360}\times\pi r^2[/tex]
[tex]=\frac{110}{360}\times\frac{22}{7}\times(16)^2[/tex]
[tex]=\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)[/tex]
∴ Area of sector is [tex]246in^2[/tex]
Correct option is B.
Answer:B
Step-by-step explanation:
NICE
A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for .
Answers
We must use a certain formula to find the circumference of any circular thing. The formula is:
C = 2 * pi * r
We know that pi is 3.14, and the radius is 4.5 feet. Substitute and solve step by step:
C = 2 * 3.14 * 4.5
C = 6.28 * 4.5
C = 28.26
Don't forget to add the units!
ANSWER:
The circumference of the rug is 28.26 feet.
answer= 28.26
Step-by-step explanation:
your welcome
helppppppppppppppppppppppppppppppppppp
Answers
Inverse property of multiplication
Explanation:
The inverse property of multiplication means that each terms undoes the function of the other. The main purpose of the inverse property in multiplication is to obtain 1.
In the given:
17/3 * 3/17
We will find that the 17 in the numerator is cancelled with the 17 in the denominator and the 3 in the numerator is cancelled with the 3 in the denominator.
Therefore, the final answer is 1.
Hope this helps :)