Answer:35
Step-by-step explanation:
if you added 85,70, and 50 you would get 205 and that is more than the number of students that were interviewed so 35 would be the correct answer
Need Answer Immediately!!!!!
y = \(\frac{-5}{4}\)x + 3
Step-by-step explanation:As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c or -------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope m given by;
m = \(\frac{y_2 - y_1}{x_2-x_1}\)
m = \(\frac{-2-3}{4-0}\)
m = \(\frac{-5}{4}\)
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \(\frac{-5}{4}\) into equation (ii) as follows;
y - 3 = \(\frac{-5}{4}\)(x - 0)
(iv) Solve for y from (iii)
y - 3 = \(\frac{-5}{4}\)x
y = \(\frac{-5}{4}\)x + 3 [This is the slope intercept form of the line]
Where the slope is \(\frac{-5}{4}\) and the intercept is 3
The graph shows the growth of a plant. Find the growth rate in inches per week.
Answer:The plant growth 1/2 inches each week
Step-by-step explanation:
Simplify.
4-3i/6-4i
A. 18-i/26
B. 15-3i/26
C. -4+3i
D. 3+2i/13
Answer:
A
Step-by-step explanation:
To simplify the expression multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 6 - 4i is 6 + 4i , then
= \(\frac{(4-3i)(6+4i)}{(6-4i)(6+4i)}\) ← expand numerator./ denominator using FOIL
= \(\frac{24+16i-18i-12i^2}{36+24i-24i-16i^2}\)
= \(\frac{24-2i+12}{36+16}\)
= \(\frac{36-2i}{52}\)
= \(\frac{2(18-i)}{52}\)
= \(\frac{18-i}{26}\) → A
You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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The researcher meets with one participant and asks a series of pre-determined questions using a topic guide. What type of qualitative data collection is this
The qualitative data collection method described, where the researcher meets with one participant and asks pre-determined questions using a topic guide, is commonly known as an "interview." Interviews are a form of qualitative data collection where the researcher engages in a direct conversation with the participant to gather information and insights related to the research topic. The questions are typically structured or semi-structured, allowing for flexibility and deeper exploration of the participant's experiences, perspectives, and opinions.
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Verbal
4. When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
Step-by-step explanation:
A parenthesis is used when the number next to it is NOT part of the solution set
like : all numbers up to but not including 3 .
Parens are always next to infinity when it is part of the solution set .
A bracket is used when the number next to it is included in the solution set.
7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
a line goes through the point (8,3) and has a slope m=4. Write an equation that represents that line.
Answer:
y=4x-29
Step-by-step explanation:
y-y1=m(x-x1)
y-3=4(x-8)
y=4x-32+3
y=4x-29
Answer:
y = 4x - 29
Step-by-step explanation:
You will use the slope-intercept form y = mx + b
Your point (8, 3) will be substituted for (x, y) and 4 will be substituted for the slope(m)
y = mx + b
3 = (4)(8) + b
Simplify
3 = 32 + b; now subtract 32 from both sides to keep a balanced equation.
3 - 32 = 32 + b - 32
-29 = b
Finally, substitute your slope(m) = 4 and the y-intercept(b) = -29 back into the slope-intercept form
y = 4x - 29
pls I'm begging for help T-T
Q1. I will use team A's results to claim that their shoes are larger because the mean of team A is 13.92 whereas the mean of team B is 12.83.
Q2. I will use team B's results to claim their shoes are larger because the table of team A stops at 16, however team B's top shoe size is 18, therefore team B has the largest shoe size.
Q3. Both teams have the same average shoe size because the results are only 1 size away from each other most times.
(sorry about Q3 I'm not entirely sure about that one.)
Answer:
b is 23.7
a is 17.6
d is 9m8
Step-by-step explanation:
these are based on my calculations
hope i helped :)
a player of a video game is confronted with a series of 4 opponents and a(n) 73% probability of defeating each opponent. assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). round your answers to 4 decimal places. (a) what is the probability that a player defeats all 4 opponents in a game? enter your answer in accordance to the item a) of the question statement (b) what is the probability that a player defeats at least 2 opponents in a game? enter your answer in accordance to the item b) of the question statement (c) if the game is played 3 times, what is the probability that the player defeats all 4 opponents at least once? enter your answer in accordance to the item c) of the question statement
The Probability that the player will win against each of the four opponents at least once is 0.7942.
The player has a P(W) = 0.80 winning chance.
The likelihood that the player will lose is hence P(L)= 1 - P(W) = 0.20.
The player is up against 4 different opponents in the video game.
It is stipulated that the game finishes when a player is defeated by an opponent.
The player can win in any of the following ways: L, WL, WWL, WWWL, and WWWW.
The results from each of the four opponents are distinct, meaning that the outcome of a game played against one opponent has no bearing on the outcome of a game against another.
P (Player defeats all 4 opponents) = 0.4096 is the probability that a player will win a game against all four opponents.
Thus, the probability that the player defeats all four opponents in a game is 0.4096.
(b) The likelihood that a player will win a game against at least two opponents is,
P = 1 (Player defeats at least 2) P = 0.64 when the player loses the first and second games.
Therefore, there is a 0.64 percent chance that the player will win at least two games against opponents.
Let X equal the number of times the player triumphs over all four opponents.
The likelihood that a player will win a game against all four opponents is,
P(WWWW) = 0.4096
The probability that a player will triumph over each of the four opponents at least once is,
P (X ≥ 1) = 1 - P (X < 1)
= 1 - P (X = 0)\s = 0.7942
Therefore, there is a 0.7942 probability that the player will win against all four opponents at least once.
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The Tri-State Pick 3 lottery game offers a choice of several bets. You choose
a three-digit number. The lottery commission announces the winning three-digit number,
chosen at random, at the end of each day. The "box" pays $83.33 if the number you choose
has the same digits as the winning number, in any order. Find the expected payoff for a
$1 bet on the box. (Assume that you chose a number having three different digits.)
Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.
To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.
Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.
Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.
Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.
5 plus the difference of 9 and 4
What is half of 2+2 First answer gets Brainliest
Answer:
Half is 2
Step-by-step explanation:
Solve for c round your answer to the nearest tenth
Answer:
C = 7.72 ~ 7.7
Step-by-step explanation:
So when you solve this equetion you must 1st find x then c
we can find x by using cos(60)
cos(60) = x/14
x = cos(60) × 14
x = 1/2 ×14
x = 7
so after we find x we are going to solve c by using cos (25)
cos (25) = X/C = 7/c
cos(25) × C = 7
C = 7/cos (25)
C = 7.72 ~ 7.7
so the solution is 7.7
Solve 9 ax + 10 ax = 11ax + 32 for x. Assume at 0.
Can someone help
2a.) A(t) is the average high temperature in Aspen, Colorado, "t" months after the
start of the year. M(t) is the average high temperature in Minneapolis, Minnesota,
"t" months after the start of the year. Temperature is measured in degrees
Fahrenheit. Which function had the HIGHER average rate of change between the
beginning of January and middle of March? *
Answer:
As you didn't add the graph, I will for you.
Step-by-step explanation:
The correct answer is Minneapolis because as you can see Aspen did not change as dramatically as Minneapolis.
The start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.
What is meant by function?A mathematical formula, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
In the beginning of January, Aspen's temperature was 35° F, and in the middle of March, it was 48° F. 3.5 months later Minneapolis has lows of 25 degrees Fahrenheit in January and highs of 50 degrees Fahrenheit in the middle of March (at 3.5 months).
So, the average rate of change of temperature of Aspen between the points (1, 35) and (3.5, 48) exists
\($\frac{y_2-y 1}{x_2-x_1}=\frac{48-35}{3.5-1}=5.2$\)
The average rate of change of temperature of Minneapolis between the points (1, 25) and (3.5, 50) is \($\frac{50-25}{3.5-1}=10$\)
Thus, from the start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.
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Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.
Answer: It is not reasonable.
Step-by-step explanation: when subtracting a negative number from a positive number the answer is always going to be positive because two negatives make a plus. For example 3-(-5). The two negatives cancel each other out, so it’s 3+5=8
What is the value of the expression 12 x (-1.6)
Answer: -19.2
Step-by-step explanation:
In general, the best measure of central location for a data set that contains outliers is the ______
MEDIAN is the middle value of a data.
In general, the best measure of the central location for a data set that
contains outliers is the median. Median is the number that is halfway into
the set. The median is less affected by outliers than the mean, as it
represents the middle value when the data is sorted in ascending order.
To find the median, follow these steps:
1. Arrange the data in ascending order.
2. If there is an odd number of data points, the median is the middle value.
3. If there is an even number of data points, the median is the average of the two middle values.
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E=(a+b)²-2(a+1)+(1-b)²
(,)=0.20msin(3.00m−1 6.00s−1) is =2.00m/s. what are the wavelength and the speed of the wave?
The wavelength of the wave is approximately 2.09m, and the speed of the wave is approximately 1.99m/s. values were obtained by analyzing given expression and utilizing relationships between wave parameters.
To find the wavelength, we can use the formula λ = v/f, where λ represents the wavelength, v represents the speed of the wave, and f represents the frequency of the wave. However, in the given expression, we are not directly given the frequency. Instead, we have the angular frequency ω, which is related to the frequency as ω = 2πf.By comparing the given expression with the general wave equation, we can identify that the wave number k = 3.00m^(-1). Since the wave number is related to the wavelength as k = 2π/λ, we can rearrange the equation to find the wavelength: λ = 2π/k. Plugging in value for k, we get λ = 2π/(3.00m^(-1)), which simplifies to approximately λ = 2.09m.
To determine the speed of the wave, we can use the formula v = λf, where v represents the speed of the wave, λ represents the wavelength, and f represents the frequency. As mentioned earlier, we have the angular frequency ω instead of the frequency f. However, we know that ω = 2πf, so we can rearrange this equation to find f = ω/(2π). Plugging in the given angular frequency ω = 6.00s^(-1), we get f = 6.00s^(-1)/(2π), which simplifies to approximately f = 0.955Hz.Now that we have the wavelength λ = 2.09m and the frequency f = 0.955Hz, we can use the formula v = λf to find the speed of the wave. Plugging in the values, we get v = (2.09m)(0.955Hz), which gives us the speed of the wave v = 1.99m/s.
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three times a number increased by 2 is greater than zero or less than or equal to negative three
Step-by-step explanation:
Let the number be X
3×X=3X
Increased by 2
3X+2>0≤-3
Pick all that apply the option answer in two minutes
Answer: PQT and TUV
Step-by-step explanation:
.The American Court Reporting Institute finds that the average student taking Advanced Machine Shorthand, an intensive 20-wk course, progresses according to the function
Q(t) = 130(1 − e−0.06t) + 60 (0 ≤ t ≤ 20)
(a) What is the beginning shorthand speed for the average student in this course?
_______________ words per minute
(b) What shorthand speed does the average student attain halfway through the course? (Round your answer to the nearest whole number.)
_______________ words per minute
(c) How many words per minute can the average student take after completing this course? (Round your answer to the nearest whole number.)
________________ words per minute
(a) The beginning shorthand speed for the average student in this course is 130 words per minute.
Determine the shorthand speed for the average student?The given function is \(Q(t) = 130(1 − e^(-0.06t)) + 60\), where t represents the time in weeks.
To find the beginning shorthand speed, we need to determine the value of Q(0), which represents the speed at the start of the course.
Substituting t = 0 into the function, we have \(Q(0) = 130(1 − e^(-0.06(0))) + 60.\)Simplifying further, we get \(Q(0) = 130(1 - e^0) + 60 = 130(1 - 1) + 60 = 0 + 60 = 60.\)
Therefore, the beginning shorthand speed for the average student is 60 words per minute.
(b) Halfway through the course, the average student attains a shorthand speed of approximately 103 words per minute.
To find the shorthand speed halfway through the course, we need to determine the value of Q(10), as the course lasts for 20 weeks.
Substituting t = 10 into the function, we have\(Q(10) = 130(1 − e^(-0.06(10))) + 60.\)
Evaluating this expression, we find\(Q(10) ≈ 130(1 - e^(-0.6)) + 60 ≈ 130(1 - 0.5488) + 60 ≈ 130(0.4512) + 60 ≈ 58.656 + 60 ≈ 118.656.\)
Rounding this value to the nearest whole number, we obtain approximately 103 words per minute.
(c) After completing the course, the average student can take approximately 189 words per minute.
To determine the shorthand speed after completing the course, we need to find the value of Q(20).
Substituting t = 20 into the function, we have\(Q(20) = 130(1 − e^(-0.06(20))) + 60.\)
Evaluating this expression, we find \(Q(20) ≈ 130(1 - e^(-1.2)) + 60 ≈ 130(1 - 0.3012) + 60 ≈ 130(0.6988) + 60 ≈ 90.844 + 60 ≈ 150.844.\)Rounding this value to the nearest whole number, we obtain approximately 189 words per minute.
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Find the value of 2asquared + 5bsquared when a =-6 and b = 2
Answer:
\(92\)
Step-by-step explanation:
\(2 {a}^{2} + 5 {b}^{2} \\ 2 \times {( - 6)}^{2} + 5 \times {2}^{2} \\ 2 \times 36 + 5 \times 4 \\ 72 + 20 \\ = 92\)
Hope this helps you.
Can I have the brainliest please?
whats 3 Pounds for $3.99
Answer
Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars
Step-by-step explanation:
Please help
A ferry that carries passengers and vehicles across a channel charges a base rate of $30 per vehicle. The first two passengers are included in this price, but each additional passenger is charged $5. Additionally, the ferry charges more for vehicles over 4,000 pounds. The rate for excess weight is $10 per 500 pounds.
-Write an equation for this situation.
-Find the cost of a truck that weighs 5,000 pounds with three passengers.
The cost of the truck with 3 passengers is A = $ 45
Given data ,
Let's denote the number of passengers as P and the weight of the truck in pounds as W.
For the base rate of $30 per vehicle, the equation can be written as:
Cost = $30
For additional passengers beyond the first two, the equation can be written as:
Cost += ($5) * (P - 2)
For excess weight over 4,000 pounds, the equation can be written as:
Cost += ($10) * (W - 4000) / 500
To find the cost of a truck that weighs 5,000 pounds with three passengers, we substitute the values into the equation:
Cost = $30 + ($5) * (3 - 2) + ($10) * (5000 - 4000) / 500
Simplifying the equation:
Cost = $30 + $5 + $10
Cost = $45
Hence , the cost of a truck that weighs 5,000 pounds with three passengers would be $45
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Trapezoid WXYZ has vertices at W(–5, –1), X(–3, –1), Y(–2, 1), and Z(–6, 1). Trapezoid WXYZ is translated so that the coordinates of Y' are (0, 3). What will be the coordinates for W′?
Solution :
the coordinates for W′ = (-1,3)
Trapezoid :
A trapezoid is necessarily a convex quadrilateral in Euclidean geometry. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a parallelogram, and there are two pairs of bases). A scalene trapezoid is a trapezoid with no sides of equal measure
Y = (-2,1)
Y' = (0,3)
Unit shift for Y to Y'
By distance formula :
yy' = \(\sqrt{{(x2-x1})^{2} +( y2-y1)^{2} }\\\)
= root of (2)^2 +(2^2)
= root of 4+4
Root of 16
= root of 4
Unit shift for Y to Y' = 4
then
w = (-5,-1)
shift by adding 4
W' = (-5+4, -1+4)
W' = (-1,3)
the coordinates for W′ = (-1,3)
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Answer this question based on the number line shown.
А
B
С
D
+
The distance from a point to point C is 1, and the distance from that same point to point B is 4. The point must be
point A
between D and A
O point
between C and A
Answer:
Step-by-step explanation:
A