Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 95 people in the 18-21 age bracket and finds that 81 of them respond and 14 refuse to respond. When 287 people in the 22-29 age bracket are contacted, 269 respond and 18 refuse to respond. Assume that 1 of the 382 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who responds. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(18-21 or responds) = %
Answers
Answer:
Step-by-step explanation:
here you go
Related Questions
Suppose that a family is leaving on a summer vacation in their camper and that M is the event
that they will experience mechanical problems, T is the event that they will receive a ticket
for committing a traffic violation, and V is the event that they will arrive at a campsite with
no vacancies. Referring to the Venn diagram of Figure 2.5, state in words the events
represented by the following regions:
Answers
Three Circles representing events M, T, and V,The family does not experience any of the events mechanical problems, traffic violation, or no vacancies at the campsite.
In a Venn diagram with three circles representing events M, T, and V, there are eight regions. We can describe the events represented by each of these regions as follows:
1. Region inside M, T, and V: The family experiences all three events - mechanical problems, traffic violation, and no vacancies at the campsite.
2. Region inside M and T, but outside V: The family experiences mechanical problems and traffic violation, but there are vacancies at the campsite.
3. Region inside M and V, but outside T: The family experiences mechanical problems and no vacancies at the campsite, but they do not receive a traffic violation.
4. Region inside T and V, but outside M: The family receives a traffic violation and there are no vacancies at the campsite, but they do not experience any mechanical problems.
5. Region inside M, but outside T and V: The family experiences mechanical problems, but there are vacancies at the campsite and they do not receive a traffic violation.
6. Region inside T, but outside M and V: The family receives a traffic violation, but they do not experience any mechanical problems and there are vacancies at the campsite.
7. Region inside V, but outside M and T: The family arrives at a campsite with no vacancies, but they do not experience any mechanical problems or receive a traffic violation.
8. Region outside M, T, and V: The family does not experience any of the events - mechanical problems, traffic violation, or no vacancies at the campsite.
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What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answers
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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PLS ANSWER THE QuESTION
Answers
Answer:
isnt it 10 minutes?
Step-by-step explanation:
thats where the line stops so he rested for 10 minutes
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
What is true about the net of a pyramid?It will always contain exactly 1 triangle.It will always contain exactly 2 triangles.It can contain any number of triangles greater than or equal to 3.It can contain any number of triangles greater than or equal to 4.
Answers
Answer:
Step-by-step explanation:
it can contain ≥ 3 triangles.
Answer:c
Step-by-step explanati
Consider the binary operation table on set A ={1,2,3,6}
* 1 2 3 6
13 1 2 6
21 2 3 6
32 3 1 6
61 6 6 3
i) Find 2*6 , 6*1,2*(1*6), 6*(2*3)
ii) Is * commutative ? justify
iii) Find the identity element if exists.
iv) Find the elements which has inverse
*
PLEASE ANSWER THIS FASSSTT!!
I need this now as this is my assignment question!!
Answers
(i)
2 * 6 = 6
6 * 1 = 1
2 * (1 * 6) = 2 * 6 = 6
6 * (2 * 3) = 6 * 3 = 6
(ii) * is commutative if for any a, b ∈ A, we have a * b = b * a. You can verify this visually by checking for symmetry in the table along the main diagonal (going from top left to bottom right).
* is not commutative because
6 * 1 = 1
while
1 * 6 = 6
(iii) If e is the identity, then for any a ∈ A, we have a * e = e * a = a.
Here, 2 is the identity element because 1 * 2 = 1 and 2 * 1 = 1, and the same is true if we replace 1 with 2, 3, or 6.
(iv) Let a ∈ A. a has an inverse a ⁻¹ if a * a ⁻¹ = a ⁻¹ * a = e.
We know that e = 2, so look for any pairs that map to 2. The table shows that
1 * 3 = 2 and 3 * 1 = 2
2 * 2 = 2
so 1 has an inverse of 3, 3 has an inverse of 1, and 2 has itself as its inverse (which is to be expected for the identity).
HELP I BEGGGG!!!!!!!!!
Answers
The trigonometric ratio include the following:
sin B = b/csin A = a/ctan A = a/bcos B = a/ccos A = b/cHow to calculate the trigonometric ratio?In order to determine each of the trigonometric ratios, we would apply each of the trigonometric ratios because the given side lengths represent the adjacent side, opposite side and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp, sin(θ) = Opp/Hyp, tan(θ) = Opp/Adj
Where:
Adj represents the adjacent side of a right-angled triangle.Opp represent the opposite side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.sin(θ) = Opp/Hyp
sin B = b/c
sin(θ) = Opp/Hyp
sin A = a/c
tan(θ) = Opp/Adj
tan A = a/b
cos(θ) = Adj/Hyp
cos B = a/c
cos(θ) = Adj/Hyp
cos A = b/c
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Complete Question:
Use the right triangle to determine the each of the trigonometric ratio.
After writing a $400 check to pay a bill, a student had a balance of $550 in his account. How much did he have in the account before he wrote the check?
a) Let x= his balance before writing the check. Write the equation you would use to solve this problem.
Answers
Answer:
x=950
Step-by-step explanation:
550+400=x
The floor of Gene's garage is shaped like a parallelogram with a base that measures 6 meters and a height of 7 meters
What is the area of Gene's garage floor?
Enter your answer in the box
Answers
Answer:
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Determine the mode of the following data set:
21, 45, 44, 21, 40, 67, 93
Answers
Answer:
21 is the mode
Step-by-step explanation:
a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set
(-4x)×(+8) so what is the answer please it is urgent
Answers
Answer:
-32x
Step-by-step explanation:
(-4x) · (+8)
Simplify this expression so it can make better sense
(-4x)(8)Multiply -4 and 8 together
-32xSee question in screenshot below:
Answers
Using the half angle formula, we can say that cos²(6x/2) = ¹/₂ + ¹/₂cos 6x
How to use the half angle formula?
The way that the half angle formula is normally expressed is;
cos(a/2) = √((1 + cos(a))/2)
Squaring both sides of the formula gives;
cos²(a/2) = ((1 + cos(a))/2)
Thus;
cos²(a/2) = ¹/₂ + ¹/₂cos a
Now, we want to simplify the expression (cos (3x))²
This can also be written as;
cos²(6x/2)
Applying the half angle expression cos²(a/2) = ¹/₂ + ¹/₂cos a gives us;
cos²(6x/2) = ¹/₂ + ¹/₂cos 6x
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Which of the following tables represents a proportional relationship between x and y?
Answers
The numbers in table are in proportion. Therefore, option B is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Here,
From the table A:
1/5 = 3/15 = 5/20 = 7/28
1/5 = 1/5 ≠ 1/4 = 1/4
Here, numbers are not in proportion.
From the table B:
3/9 = 5/15 = 7/21 = 8/24
1/3 = 1/3 = 1/3 = 1/3
The numbers are in proportion.
From the table C:
4/12 = 6/18 = 7/28 = 9/36
1/3 = 1/3 ≠ 1/4 ≠ 1/4
The numbers are not in proportion.
From the table D:
2/8 = 3/12 = 4/16 = 5/30
1/4 = 1/4 = 1/4 ≠ 1/6
The numbers are not in proportion.
Therefore, option B is the correct answer.
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Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have the same coefficient. Is Marcus correct? Explain
Answers
Answer:
Step-by-step explanation:
3x and 3y are not "like terms," despite having the same coefficient.
Like terms have the same variable. For example, 3x and 2x are like terms, so
3x+2x = 5x
-2xy^2-4xy+6xy^2
please show work
Answers
Answer 1
steps. first of record and gather like terms (-2xy^2+6xy^2)-4xy
next collect coefficient like terms (-2+6)x Xy^2-4xy
then calculate the sum or difference 4xy^2-4xy
Evaluate 5|7 - 9| - 2.
-12
0
1
8
Answers
\(\longrightarrow{\green{ D. \:8 }}\)
\(\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}\)
\(5 \: |7 - 9| - 2\)
\( = 5 \: | - 2| - 2\)
\( = 5 \times 2 - 2\)
\( = 1 0- 2\)
\( = 8\)
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
Please answer if you know how to do this, thank you
Answers
9514 1404 393
Answer:
vertex: (-2, -1)dashed line, shaded inside, parabola is positive (opens up)Step-by-step explanation:
The given inequality is in vertex form:
y = a(x -h)^2 +k . . . . . . has vertex (h, k)
so the vertex can be read from the given expression.
y > (x +2)^2 -1 ⇒ (h, k) = (-2, -1) . . . the vertex
The leading coefficient (+1) is positive so the parabola opens upward.
__
The y > ( ) tells you the boundary line is dashed (is not part of the solution). It also tells you the shading is above the curve, hence inside the parabola.
The two offered points (0, 0), (2, -3) are NOT part of the solution set.
When rolling a die what is probability of rolling a one
Answers
Answer:
1/6
Step-by-step explanation:
6 sides. 1 face with number 1. 1/6
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 10.2 inches, and standard deviation of 3.3 inches.
If 48 items are chosen at random, what is the probability that their mean length is greater than 8.8 inches?
(Round answer to four decimal places)
Answers
Answer: Hope this helps ;)
Step-by-step explanation:
The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.
First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):
(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242
We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.
Using a calculator, we find that the probability is 0.3389.
Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.
The first sequence rule is multiply by 3 starting from 5. The second sequence rule is add 9 starting from 18. What is the first number that appears in both sequences?
27
45
72
135
what is the answer
Answers
Considering the sequences given, the first number that appears in both sequences is given by: 45.
What numbers appear in the first sequence?The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
What numbers appear in the second sequence?The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
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You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?
Answers
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
Answers
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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Expand and simplify (2x - 1)(x + 3)(x - 5)
Answers
Answer:
2x^3-5x^2-28x+15 -------------------------expanded
2x^3-5x^2-28x+15--------------------simplified
Step-by-step explanation:
\left(2x-1\right)\left(x+3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
simplyfied
\left(2x^2+5x-3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
=2x^3-5x^2-28x+15
3x-8y=-2 and 14x+8y=36
Answers
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
What percent is modeled by the grid? A grid model with 100 squares. 33What percent is modeled by the grid? A grid model with 100 squares. 33 squares are shaded. 23% 30% 33% 40% squares are shaded. 23% 30% 33% 40%
Answers
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Or
A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
Celine purchased a ball of red yarn costing $2.33. She gave the cashier $7.19. How much change did the cashier give back to Celine?
Answers
Answer:
$ 4.86
Step-by-step explanation:
Subtract 7.19 and 2.33
7.19-2.33=4.86
A factory building built for $400,000 depreciates continuously at 10% per annum. What is its value after 7 years?
Answers
Answer:
198,634
Explanation:
Substitute the given values into the formula: A = Pe^(−rt), where A represents the future value, P represents the initial (current) value, r represents the rate, and t represnts the time.
A = 400,000e^(-0.10)(7)
A = 198634.12
The value of building depreciation after seven-year is $191,318.76
Depreciation based problem:What information do we have?
Value of building = $400,000
Depreciation rate = 10%
Number of year = 7 year
Value of building after depreciation = P(1-r)ⁿ
Value of building depreiciation = 400,000(1-10%)⁷
Value of building depreciation = 400,000(1-0.1)⁷
Value of building depreiciation = 400,000(0.9)⁷
Value of building depreiciation = 400,000(0.4782969)
Value of building depreciation = $191,318.76
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For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots.
Answers
Answer:
Step-by-step explanation:For what values of does the equation (2 + 1) have two 2
+ 2 = 10 − 6
real and equal roots?
A quadratic equation that has 2 roots that are equal means that the discriminant of the equation is 0. The value of k that makes the equation have 2 real and equal roots is \(k = \frac{5}{6}\)
Given that:
\((2k + 1)x^2 + 2x = 10x - 6\)
Rewrite as:
\((2k + 1)x^2 + 2x - 10x + 6 = 0\)
\((2k + 1)x^2 - 8x + 6 = 0\)
A quadratic equation is represented as:
\(ax^2 + bx + c = 0\)
By comparison:
\(a=2k+1\\ b =-8\\\ c =6\)
If an equation has 2 real and equal roots, then:
\(b^2 = 4ac\)
So, we have:
\((-8)^2 = 4 \times (2k + 1) \times 6\)
\(64 = 4 \times (2k + 1) \times 6\)
Divide by 4
\(16 = (2k + 1) \times 6\)
Divide by 6
\(\frac{16}{6} = (2k + 1)\)
\(\frac{8}{3} = 2k + 1\)
Subtract 2 from both sides
\(2k = \frac{8}{3} -1\)
Take LCM
\(2k = \frac{8-3}{3}\)
\(2k = \frac{5}{3}\)
Divide by 2
\(k = \frac{5}{6}\)
Hence, the value of k that makes the equation have 2 real and equal roots is \(k = \frac{5}{6}\)
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The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
Answers
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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a population numbers 11,000 organisms initially and grows by 16.3% each year. suppose represents population, and the number of years of growth. an exponential model for the population can be written in the form where
Answers
The exponential model for the population can be written as P(t) = 11,000(1.163)t, where P(t) represents the population size in t years and 1.163 is the growth rate.
We can calculate the population size at any time t by multiplying the initial population size (11,000) by the growth rate (1.163) raised to the power of t. For example, after 10 years the population size would be P(10) = 11,000(1.163)10 = 22,906.7. We can also use the model to predict the population size in future years. For example, the population size in 20 years will be P(20) = 11,000(1.163)20 = 40,803.7. For example, if the population is measured after 10 years, the equation would be P(10) = 11,000(1.163)^10. Solving for P(10) yields a population of 21,945 organisms. Thus, the population has grown by 16.3% per year over the 10-year period and has increased by 10,945 organisms.
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