Answer:
5y²+y+12
Step-by-step explanation:
simplified
order the decimal from least to greatest 6.38,6.4,6.325,6.42
Alice draws a 2-card hand from a standard 52-card deck and counts aces, while Bob rolls two dice and counts aces. The game show host randomly picks either Alice or Bob behind a curtain, tells you something about the number of aces the mystery person obtained, and asks you to guess who it is. If the host tells you the mystery person got two aces, and you guess it is Bob, what is the probability you are right?
The probability that you are right is 0%.
Alice draws a 2-card hand from a standard 52-card deck, which means there are only four aces in the deck. On the other hand, Bob rolls two dice, each with six sides, so there are only two ways to roll two aces: rolling a double 1 or rolling a double 6. These events are much less likely compared to Alice drawing two aces from the deck.
Given that the game show host tells you that the mystery person obtained two aces, the only possible explanation is that it must be Alice. Bob simply does not have a high enough probability of rolling two aces to be considered as the mystery person in this scenario.
In summary, because Bob's chances of rolling two aces are significantly lower than Alice's chances of drawing two aces, the probability of you being right by guessing Bob is 0%.
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Find the absolute value of the complex number. i-5
Answer:
0
Step-by-step explanation:
target sells tide detergent for $6.75 for 25 fluid ounces. walmart sells tide dergernt for $11.20 for 40 fl.oz. use the unit rate to determine which is a better buy
Step-by-step explanation:
the cost per ounce at target would be .2688 and the cost per ounce ot walmart would be .28 so target would be the better buy.
of the students in ms. hillers class, 27% have blonde hair, 0.33 have black hair and 2/5 have brown hair. which hair color is most common?
Answer:
Brown hair is the most common
Step-by-step explanation: 0.33 as a percent is 33% and 2/5 as a percent is 40% and 40 is the most the 40% wins
help me real quick ty :)
Consider the following sets of sample data: A: 21,851,20,126,21,283,21,675,21,987,21,046,22,014,21,086,21,822,21,010,21,991,22,118,21,010,21,773 B: 2.6,3.5,4.6,3.2,2.0,2.6,4.9,3.3,3.7,2.7,4.3 Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal ploce. Answerntow to enter ynur answer (opens in new window
The coefficient of variation for set A is approximately 2.3% and for set B is approximately 24.8%.
The coefficient of variation (CV) is a statistical measure that represents the relative variability of a dataset compared to its mean. It is calculated by dividing the standard deviation of the dataset by the mean and multiplying the result by 100 to express it as a percentage.
For set A:
1. Calculate the mean: (21,851 + 20,126 + 21,283 + 21,675 + 21,987 + 21,046 + 22,014 + 21,086 + 21,822 + 21,010 + 21,991 + 22,118 + 21,010 + 21,773) / 14 = 21,482.4
2. Calculate the standard deviation: sqrt(((21,851-21,482.4)^2 + (20,126-21,482.4)^2 + ... + (21,773-21,482.4)^2) / 13) = 502.1
3. Calculate the CV: (502.1 / 21,482.4) * 100 ≈ 2.3%
For set B:
1. Calculate the mean: (2.6 + 3.5 + 4.6 + 3.2 + 2.0 + 2.6 + 4.9 + 3.3 + 3.7 + 2.7 + 4.3) / 11 = 3.41
2. Calculate the standard deviation: sqrt(((2.6-3.41)^2 + (3.5-3.41)^2 + ... + (4.3-3.41)^2) / 10) = 0.846
3. Calculate the CV: (0.846 / 3.41) * 100 ≈ 24.8%
Therefore, the coefficient of variation for set A is approximately 2.3% and for set B is approximately 24.8%.
Note: Coefficient of variation is a useful measure to compare the relative variability between datasets. A lower CV indicates lower relative variability, while a higher CV indicates higher relative variability.
In this case, set A has a lower CV, indicating less variability compared to its mean, whereas set B has a higher CV, indicating higher variability compared to its mean.
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5(f + 4) = 4(f - 6) NEED HELP ASAP, ALSO PLEASE HELP ME DO IT STEP BY STEP!!
Answer:
F = -44. I have attached the work too
Answer:
Step-by-step explanation:
5(f+4)=4(f-6)
5f+20=4f-24 : distribute the 5 and 4 to the equations in parentheses by multiplying
f+20=-24 : subtract the 4f from the right side and bring it to the left side where the 5f is
f=-44 : subtract the 20 from the left side and add it to the -24
HELP PLEASE 100% URGENT
is the equation attached in standard form
Answer:
2x+7+y=0 -7
2x+y=-7 -2x
y=-2x-7
Step-by-step explanation:
not sure
Answer:
2x+7+y=0
y=-2x-7
in the form of y=MX+c where M is slope
f 2x−5 = 13, then x=4. true or false
Answer:
false
cause
2x-5=13
2x=13+5
2x=18
X= 18/2
X= 9 ans
Graph of two inequalities. One is a solid line increasing from left to right passing through 0 comma negative 3 and 3 comma 0, and it has shading below the line. The second is a upward dashed parabola with a vertex at negative 3 comma negative 16 and x-intercepts at negative 1 comma 0 and 7 comma 0. This parabola is shaded on the outside.
Which system is represented in the graph?
y < x2 – 6x – 7
y > x – 3
y < x2 – 6x – 7
y ≤ x – 3
y ≥ x2 – 6x – 7
y ≤ x – 3
y > x2 – 6x – 7
y ≤ x – 3
The system of inequalities which is represented as described in the task content is;
y > x2 – 6x – 7y ≤ x – 3Which inequalities represents the described graphs?As evident in the task content; the first graph is a solid line increasing from left to right passing through 0 comma negative 3 and 3 comma 0. Hence, the slope of the line is positive and the y-intercept is -3.
Since the region below the line is shaded; the inequality is; y ≤ x - 3.
Also, second is a upward dashed parabola with a vertex at negative 3 comma negative 16 and x-intercepts at negative 1 comma 0 and 7 comma 0. The parabola equation is; y = x² - 6x - 7.
However, since the line is shaded on the outside and dashed; the inequality is; y > x² - 6x - 7.
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Match each expression with its value -5,-3,3 or undefined
G(0)
G(0.0001)
G(2.999)
G(3)
By using the given graph, we will see that:
G(0) = -5G(0.0001) = -3G(2.999) = -3G(3) = -3How to evaluate function G?Here we have a graph of function G(x), and we want to evaluate it in different values of x.
To do that, we need to look at the interval where the lines are defined. An open dot means that the endpoint does not belong to the interval, while the closed dot means that the endpoint belongs.
First, G(0).
If you look at the graph, when x = 0 we have a closed dot on the bottom line. That is the line that we need to look to do this evaluation, there we can see that when x = 0, we have G(0) = -5.
Then we have x = 2.999.
Notice that x < 3.
And the second line (the one at y = -3) is on the interval (0, 3].
Then x = 2.999 is included on that interval, it means that:
G(2.999) = -3.
Now we have x = 0.0001
Again, notice that the second line is on the interval (0, 3]
Because 3 > 0.0001 > 0, then:
0.0001 ∈ (0, 3]
From that, we conclude that:
G(0.0001) = -3
Finally:
G(3).
Again, 3 belongs to the interval (0, 3]
Then we use the second line again.
G(3) = -3
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Answer:
G(0) = -5
G(0.0001) = -3
G(2.999) = -3
G(3) = -3
Step-by-step explanation:
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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What is the area of the polygon in square units?
Responses
A 24 units224 square units
B 36 units236 square units
C 16 units216 square units
D 20 units2
The area of the polygon is 16 square units. Option C is correct.
The polygon can be divided into two triangles. Each triangle has a base of 4 units and a height of 4 units.
The area of a triangle is 1/2 * base * height, so the area of each triangle is 1/2 * 4 * 4 = 8 square units.
The total area of the polygon is 2 * 8 = 16 square units.
Therefore, the area of the polygon is 16 square units. Option C is correct.
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State whether the following categorical propositions are of the form A, I, E, or O. Identify the subject class and the predicate class. (1) Some cats like turkey. (2) There are burglars coming in the window. (3) Everyone will be robbed.
Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.
The given categorical propositions and their forms are as follows:
(1) Some cats like turkey - Form: I:
Subject class: Cats,
Predicate class: Turkey
(2) There are burglars coming in the window - Form: E:
Subject class: Burglars,
Predicate class: Not coming in the window
(3) Everyone will be robbed - Form: A:
Subject class: Everyone,
Predicate class: Being robbed
In the first statement:
Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.
In the second statement:
There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.
In the third statement:
Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.
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Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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Diane got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $12.08 left on the card. how many yards of ribbon did Diane buy?
Answer:
36 yards of ribbon
Step-by-step explanation:
Select an operation to make the equation true.
12 ___ - 15 = 27
Group of answer choices
add
subtract
multiply
divide
Given g(x) = –2x + 1, find g(-1).
Answer:
g(-1) =3
Step-by-step explanation:
g(x) = –2x + 1,
Let x = -1
g(-1) = –2 *-1 + 1
= 2 +1
= 3
Answer:
3
Step-by-step explanation:
We just have to plug in -1 for x which gives us -2 * (-1) + 1 = 2 + 1 = 3.
At Weichert Realty, each agent earns 7% commission on their sales. If they sell a house for $300,000, they would earn $21,000. How much would
they have to sell in order to earn $35,000?
$50,000
B) $25,000
$2,450
$500,000
Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
Use the given information to set up a proportion and solve for the unknown sales amount:
Commission earned / Sales amount = Commission rate
$21,000 / $300,000 = 0.07
Now we can use this proportion to find the sales amount needed to earn $35,000:
$35,000 / 0.07 = $500,000
Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
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Complete the following statement: In two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent...
The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;
The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;
D) Whether or not there is an acceleration in any direction
How can two-dimensional motion be analyzed?Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.
The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.
The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.
The possible options in the question from a similar question on the internet are;
A) When there is no acceleration in any direction
B) When there is no acceleration in one direction
C) Only when an acceleration is present in both directions
D) Whether or not there is an acceleration in either direction
E) Only when the acceleration is in the y-direction
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Work out 3% of 860kg
need this asap!!!
Answer:
3% of (860 kilograms) =
25.8 kilograms
Answer:
Step-by-step explanation:
3 * 860/100
= 2580/100
= 25.8.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of
x
x that support your conclusion.
−5x=35
what is the area of this polygon?
The area of the polygon on the graph is 4 units²
What is area of shape?The area of shape is the space enclosed within the perimeter or the boundary of a given shape. Area is measured in unit²
The polygon can be divided into two equal triangles by drawing a line through A to C. The area of the two triangles is then added together to give the area of the polygon.
area of triangle = 1/2 bh
= 1/2 × 2 × 2
= 2 units²
area of the polygon = 2+2
= 4 units²
therefore the area of the polygon is 4 units²
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Find θ to four significant digits for 0 < θ< 2 pi if cos θ= 0.6725
First, we need to solve for θ:
\(\cos\theta=0.6725\)\(\theta=\cos^{-1}(0.6725)\)\(\theta=0.8332147\)But, since the cosine is a function that takes the same values every 3π/2, if we add this to the solution:
\(\theta_2=0.8332147+\frac{3\pi}{2}\approx5.5456\)Thus, the two solutions are:
\(\theta=0.8332,5.5456\)16 is 25% of what number?
A. 4
B. 9
O c. 40
O D. 64
E. 80
16 is 25% of what number?
✮ Sᴏʟᴜᴛɪᴏɴ ✮\( = > \frac{16}{25} \times 100\)
( 25 × 4 = 100 )\( = > 16 \times 4\)
\( = > 64\)
Answer one of the questions & show work if you’re team Selena
5.) The measure of angle D of the given triangle would be = 59.5°
How to calculate the missing angles using sine rules?To calculate the missing angles, sine rule is used which is ;
Sine rule = a/sin A = b/sin B
Where a = 23
A = 56°
b = 24
B = X
That is;
23/sin56° = 24/sinx
Make sin X the subject formula;
Sin X = sin56×24/23
= 0.829037572×24/23
= 19.89690174/23
= 0.865082684
X = Sin-1 (0.865082684)
= 59.89214806
= 59.9° (approximately)
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If f(x) = One-half left-bracket x right-bracket, what is f(7. 6)? 3 3. 5 3. 8 4.
Given the function, f(x) = ½(x), the value of f(7.6) is: 3.8.
We are given the function, f(x) = ½(x)
Required:
Find the value of f(7.6) of the function.
To find the value of f(7.6), all we need to do is to substitute x = 7.6 into f(x) = ½(x).
Therefore:
f(x) = ½(x)
Plug in the value of xf(7.6) = ½(7.6)
f(7.6) = 3.8.
In conclusion, given the function, f(x) = ½(x), the value of f(7.6) is: 3.8.
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Answer:
b
Step-by-step explanation:
What is the surface area of the rectangular prism?