Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)
Thus, Solution ; Expected Payoff ⇒ $ 1.50
4. If you average $5.99 for breakfast, $13.95 for lunch, and $20.56 for dinner, how much should you
budget for food costs per day?
Answer: Your average would be about 41 dollars
Step-by-step explanation:
Why because if you add up all of the costs and round it, the answer is 41
Properties of Matter Unit Test
1 of 121 of 12 Items
Question
A scientist adds iodine as an indicator to an unknown substance. What will this indicator reveal about the substance?(1 point)
the presence of glucose
the presence of glucose
the presence of lipids or fat
the presence of lipids or fat
the presence of baking powder
the presence of baking powder
the presence of starch
the presence of starch
A scientist adds iodine as an indicator to an unknown substance. This indicator will reveal the presence of starch about the substance.What is an indicator?An indicator is a substance that helps in identifying the presence or absence of another substance or property. Indicators can be both physical and chemical.
The iodine is used as an indicator in this scenario. It's mainly used to indicate the presence of starch in any unknown substance. It's because iodine interacts with starch to produce a bluish-black colour.How can iodine detect starch?Iodine is a dark-colored solution, usually brown, but it turns blue-black when it encounters starch molecules. It's because the iodine molecule slips between the glucose monomers in the starch molecule, forming a helix.The helix that forms between the glucose and iodine molecules causes the iodine to appear blue-black. Therefore, the presence of iodine as an indicator will reveal the presence of starch about the substance.
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Mrs. Reeves has 20 identical boxes. She knows that she has 2 boxes of pens, 10 boxes of paper, 2 boxes of crayons, and 6 box3es of glue. She opens one box. What is the probability it is glue?
Answer:
3/10
Step-by-step explanation:
Probability box opened is glue = number of boxes that contain glue / total number of boxes
6/20
To transform to the simplest form. divide both the numerator and the denominator by 2
3/10
A jar lid is an example of a simple machine called a?
Answer: a screw
Step-by-step explanation:
Answer:
A compound machine
Step-by-step explanation:
Which of these represents the final step to a no solution problem?
1=1
x=2
x=x
2=3
Answer:
I'm probably incorrect, but I think it's the 3rd one
Riddle: Sonja discovered 2/5 of the pens she bought were not working. She also noticed 1/4 of the working pens were red. If 36 of the working pens were red, how many pens did Sonja buy?
Answer:
240 pens
Step-by-step explanation:
36*4=144
144/3=48
48=1/5 of pens
48*5=240
Please Help I Need Help With This Problem.
The equation can be written as 6 + (-6y) = -6y - 1 + (7).
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The given is an equation with missing parts.
The left hand side of the equation does not contain a term with variable, but the right hand side contains it.
Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.
So the right hand side must be equal.
So the expression in the right hand side is -6y - 1 + (7).
Hence the expressions are 6 + (-6y) on the left hand side and -6y - 1 + (7) on the right hand side.
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Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
pls for the LOVE OF GOD. i can't do graphs
Answer:
Second Option
Step-by-step explanation:
We need to graph the equation
\(y = \frac{2}{3} x - 1\)
The -1 represent the y intercept. So our y intercept will be at (0,-1).
We then would move up 2 and right 3 units because that represent our slope. So the second option.
Help!
I do not understand a single thing lol I’m sorry<3
= 8
step-by-step explanation:
evaluate
-8c⁴ d +4c² d² + 16c - 2d
when c =-1 ,d=4
=8
hope it helps!#carry on learning
Sorry if I am incorrect.....
Please answer the question in the photo, thanks!
Answer:
\(\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}\)
Step-by-step explanation:
The question relates to dividing a fraction by proper and another fraction
The given expression is presented as follows;
\(2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )\)
We rearrange the fractions as improper fractions for easier division as follows;
\(2\dfrac{1}{3} = \dfrac{7}{3}\)
\(-3\dfrac{2}{3} = -\dfrac{11}{3}\)
Therefore, we have;
\(2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}\)
\(\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}\)
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? y+____x+______
Answer:
y = 5 + 0.9x
Step-by-step explanation:
If y is the total fee and x is the miles driven, we get following equation:
y = 0.9x + 5The total comprises of a constant initial rate ($5) and a charge for driven miles (0.9x)
sin (9x-7) = cos (4x-10) what is x
Answer:
sin(9x-8) = cos(4x+7)
sin(9x-8) = sin(90-(4x+7))
sin(9x-8) = sin(83-4x)
9x-8 = 83 - 4x
13x= 91
x=7°
Step-by-step explanation:
tell me if im wrong
Round 374,462,894 to the nearest thousand. Explain each step of the process.
Answer:
374,463,000
Step-by-step explanation:
374,462,894
Identify the thousands spot and locate the digit next to it.
374,462,894
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
8 is greater than or equal to 5. We round up.
374,462,894 ≈ 374,463,000
Hope this helps.
Answer:
[See Below]
Step-by-step explanation:
✦ The number in the thousandth place is \(2\).
✧ To round, look at the number to the right, in this case it's \(8\).
○ If the number is greater than or equal to \(5\), then round up.
○ If the number is less than \(5\), round down.
✦ So then we would change the \(2\) to a \(3\).
✦ Then rewrite the number:
✧ \(374463000\)
~Hope this helps Mate. If you need anything feel free to message me.
ABC is an acute triangle. Two of it's side measure 11 cm and 14 cm. what is the range of possible values for its third side
Answer:
3 cm < x < 25 cm
Step-by-step explanation:
Given 2 sides of a triangle then the possible values for the third side are
let the third side be x
difference of sides < x < sum of sides , that is
14 - 11 < x < 14 + 11
3 < x < 25
i believe X=4, but i could be wrong with the whole thing
Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units
Solve the triangle. B=67∘51′,c=36m,a=74m What is the length of side b ? b=m (Round to the nearest whole number as needed.) What is the measure of angle A ? A= (Round to the nearest whole number as needed.) What is the measure of angle C ? C= (Round to the nearest whole number as needed.)
The length of side b is 56m, angle A is 45°, and angle C is 67°.
What is the length of side b in the given triangle?In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.
To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:
Length of side b:Using the Law of Cosines, we have:
b² = a² + c² - 2ac * cos(B)
Substituting the known values:
b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')
Calculating the value of b:
b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))
b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)
Measure of angle A:Using the Law of Cosines again, we have:
cos(A) = (b² + c² - a²) / (2 * b * c)
Substituting the known values:
cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)
Calculating the value of A:
A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))
A ≈ 45° (rounded to the nearest whole number)
Measure of angle C:Using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
Substituting the known values:
C ≈ 180° - 45° - 67°51'
Calculating the value of C:
C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)
Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.
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Anthony wanted to get a job after school. His
neighbor said he would pay him $8.00 an hour for 4
hours a day to mow his lawn and rake the leaves.
How much would Anthony make in one day? *
Factorise 3x²+5x-12
Show working out
hi <3
i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.
so, you need to multiply the coefficient of x^2 by the last value
3 x -12 = -36
now, you need to find two values that multiply to make -36 but add to make 5.
9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need
now we have:
(x - 4)(x + 9)
however, we need to achieve the 3 from somewhere so it needs to be divided somewhere
9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.
thus, your final answer would be:
(3x - 4)(x + 3)
hope this helps :)
Answer:
it's gonna be 3(X*2 + 4X - 4)
Step-by-step explanation:
Just factor out 3 from the expression
Among us code: QZUVDF
Answer:
cool imma join what is the map?
Answer:
aww man im too late
Step-by-step explanation:
vote me for homecomeing XD
The figure below shows a circle with center J, diameter FG, and tangent YQ. Which of the angles must be right angles? select all that apply.
The angle which would be tangent a 90 degree in the given diagram would be ∠JYQ, ∠JYW , ∠FYG and ∠FHG
What is a tangent in a circle?A circle's tangent is a single-pointed line that intersects the circle. The point of tangency is the location where the circle and the tangent cross. The circle's radius, where the tangent touches it, is perpendicular to it.
Therefore, JY is perpendicular to QW which means
∠JYQ=∠JYW=90 degrees
Since, J is the center of circle and GF is diameter, there is a theorem which says that angle substended by diameter at any point of circle is 90 degree.
Therefore, ∠FYG =∠FHG=90 degrees.
Hence, ∠JYQ, ∠JYW , ∠FYG and ∠FHG are all the equal to 90 degree.
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Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.
Answer:
34 hours
Step-by-step explanation:
Given that,
Nathan read a total of 630 pages over 30 hours.
We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.
1 page can be read in \(\dfrac{30}{630}\ \text{hours}\)
To read 714 pages, it will take
\(\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}\)
Hence, it will take 34 hours to read 714 pages.
3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point
The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).
To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.
Converting the angle of rotation from degrees to radians:
theta = 5 degrees * (pi/180) ≈ 0.08727 radians
Plugging in the values into the rotation formula:
x' = 5 * cos(0.08727) - 2 * sin(0.08727)
y' = 5 * sin(0.08727) + 2 * cos(0.08727)
Evaluating the trigonometric functions and simplifying:
x' ≈ 4.993
y' ≈ 2.048
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Can someone help me here please!thank you so much (with complete solution)
1. f'(x) = 6x^2 + 10x - 3
2. f''(x) = 12x + 10
3. f'''(x) = 12
Answer:
\(\textsf{1.} \quad f'(x)=14x-5\)
\(\textsf{2.} \quad f'(x)=15x^2-4x\)
\(\textsf{3.} \quad f'(x)=12x\)
Step-by-step explanation:
To find the derivatives of the given functions, we can use the power rule and the constant rule.
The power rule for differentiation states that when we differentiate a function that is a power of x, we multiply the function by its exponent, and then decrease the exponent by one:
\(\boxed{\begin{minipage}{5.2 cm}\underline{Power Rule for Differentiation}\\\\$\dfrac{\text{d}}{\text{d}x}x^n=nx^{n-1}$\\\end{minipage}}\)
The constant rule for differentiation states that the derivative of a constant is always zero:
\(\boxed{\begin{minipage}{5.2cm}\underline{Constant Rule for Differentiation}\\\\$\dfrac{\text{d}}{\text{d}x}[c]=0$\\\end{minipage}}\)
Therefore, we can apply these two rules to the given functions to find their derivatives.
\(\hrulefill\)
\(\begin{aligned}\textsf{1.} \quad f(x)&=7x^2-5x\\\\f'(x)&=2\cdot 7x^{2-1}-1\cdot5x^{1-1}\\&=14x^1-5x^0\\&=14x-5\end{aligned}\)
\(\hrulefill\)
\(\begin{aligned}\textsf{2.} \quad f(x)&=5x^3-2x^2+6\\\\f'(x)&=3\cdot 5x^{3-1}-2\cdot2x^{2-1}+0\\&=15x^2-4x^1\\&=15x^2-4x\end{aligned}\)
\(\hrulefill\)
\(\begin{aligned}\textsf{3.} \quad f(x)&=6x^2+5\\\\f'(x)&=2\cdot 6x^{2-1}+0\\&=12x^1\\&=12x\end{aligned}\)
The triangles are similar.
What is the value of x?
See the attachment for the problem to be answered.
Answer:
16
Step-by-step explanation:
20/5 = 12/3 = x/4
x/4 = 4
x = (4)(4) = 16
Answer:16
Step-by-step explanation:multiply 4 by 4
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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pls answer this i have no clue
Answer:
90 degrees
Step-by-step explanation:
The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.
First, you need to solve for x:
S(x+10) + R(2x+60) + T(50+x) = 180
Add up all of the like terms:
10 + 60 + 50 = 120
x + 2x + x = 4x
So now you are left with 4x + 120 = 180
And solve for x:
4x/4 + 120/4 = 180/4
x + 30 = 45
x + 30-30 = 45-30
x = 15
Now that we have the value of x, plug it into the measure given for angle R:
(2x+60)
= (2(15)+60)
= (30 + 60)
= 90
So the measure of angle R is 90 degrees.
I hope this helped! :)
in which age classes do the median and quartiles fall?
The median and quartiles fall in the middle age classes.
The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.
In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.
It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.
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