\(x + 10 = 110\)
Also, if you need the answer
\(x = 100\)
A bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?
The fewest number of beads you must pick blindfolded to be absolutely sure there are 5 beads of the same color among the beads you have picked is 20 + 5 = 25 beads.
To ensure that there are at least 5 beads of the same color among the beads you pick blindfolded, you can apply the pigeonhole principle. The pigeonhole principle states that if you have n+1 objects distributed into n pigeonholes, there must be at least one pigeonhole containing more than one object.
In this case, we have 5 different colors, and we want to be absolutely sure that we have at least 5 beads of the same color. Therefore, we can consider each color as a pigeonhole, and we want to ensure that we have more than one bead in each of the 5 pigeonholes (colors).
Since there are 100 beads of each color, we can guarantee that we have more than one bead of each color by picking 4 beads of each color, which totals to 4 * 5 = 20 beads.
However, we want to ensure that we have at least 5 beads of the same color. To achieve this, we need to pick one additional bead from each color, which adds 5 more beads.
Therefore, the fewest number of beads you must pick blindfolded to be absolutely sure there are 5 beads of the same color among the beads you have picked is 20 + 5 = 25 beads.
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What is the slope of the line that passes through the points (8, 2) and (9, 3)
write in simplest form
Answer:
To find the slope, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the points and solve.
3-2/9-8
1
The slope of the line is 1.
Hope this helps! :)
why does gyro never never ever bet on even numbers
Gyro never bets on even numbers because the expected value of such a bet is always negative.
To understand this concept, let's look at what an even number bet involves. When a person bets on an even number, they are essentially risking their entire stake on a 50/50 chance of winning.
This means that if they win, they will get their stake back plus the amount they would have won if the bet had been successful – in other words, their returns will be twice their original stake.
However, if they lose the bet, they will lose their entire stake. This means that the expected value of a bet on an even number is always negative. In other words, the expected outcome of the bet is always a loss.
Therefore, it is never a good idea to bet on an even number, as the expected value is always negative
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P(A)* P(B)≠ p(AnB)
Why does it contain a not equal to sign
Answer:
P(A) * P(B)
p(a+b)
P(a+b) is not equal to p( AnB)
Hope this helps plz hit the crown :D
Se quieren repartir 21 chocolates entre 4 chicos en partes iguales y sin que sobre nada, cuantos chocolates recibira cada uno?
Answer: Cada chico recibira 5.25
The equation shown models the height of a 32-inch candle after lighting it, where m represents the time the candle has been burning, in minutes, and h represents the candle's height. h=32−14m If the candle's height is now 25 inches, exactly how many minutes has it been burning?
Answer:
0.5 minutes
Step-by-step explanation:
Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.
h = 32−14m
25 = 32−14m ... subtract both sides by 32
-7 = -14m ... divide both sides by -14
0.5 = m
Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.
Sally purchased a lawn mower for $10,000. The salvage value at the end of its
seven year useful life will be $2,000. What is the annual depreciation? *
Answer:
Roughly
1143$ annually
But if you want exact then its
1142.857143$
Step-by-step explanation:
solve the variables for x,y,z
9514 1404 393
Answer:
x = z = 98°
y = 82°
Step-by-step explanation:
Opposite angles in a parallelogram are congruent. Adjacent angles are supplementary.
x = z = 180° -82° = 98°
y = 82°
Answer:
82°+nx360°
82°+1×360°
82°+360
so the answer is
x=z=98°
y=82°
i don’t get this help lol
The equation of the parabola using vertex form in the graph is given as; y = (-19/9)(x + 3)².
What is meant by the term parabola?A parabola is a collection of points in a plane which are the same distance apart from a given point and line in that plane. The given point is known as the focus, and the line is known as the directrix. The vertex of the parabola is the midpoint of a perpendicular segment from of the focus to the directrix. The axis of symmetry is the line that connects the vertex and the focus.For the given question;
The curve on the graph in the vertex form is defined by the the equation;
y = a( x – h) 2 + k
Where, (h,k) are the vertex of the curve.
From the graph.
Vertex (h,k) = (-3, 0)
Point = (x, y) = (0, -19)
Put the values in the curve.
y = a( x – h)² + k
-19 = a( 0 – (-3))² + 0
Solving.
a = -19/9
Now, the put the value of a in the equation of parabola.
y = (-19/9)(x + 3)² + 0
y = (-19/9)(x + 3)²
Thus, the equation of the parabola in the graph is given as; y = (-19/9)(x + 3)².
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Alicia can shovel the entire driveway in 30 minutes. If her younger brother Jermaine helps, they
can complete the job in 20 minutes. How long would it take Jermaine to shovel the driveway by
himself?
C. $3,006D. $3,135given, compute40 answer3. Which function has the largest value forf(-3)?) puug - 3 functionA f(x) = 2x - 5-786-33-5B. f(x) = 2 - 4x7Q-10-30C. f(x) = 6 - 3*-76-363)D. F(X) = 2* + 10 20-07104. When Mack left the bank, the temperature was 25°C. When he got htomnarature was 730F. If CA=f-32, about how many degrees
To know which function has the largest value for f(3), we need to substitute x=-3 in each function:
A. f(x)=2x-5
f(-3)=2(-3)-5=-11
B. f(x)=2-4x
f(-3)=2-4(-3)=14
C. f(-3)=6-3^(-3)
f(-3)=6-1/27
f(-3)=161/27
D. f(x)=2^(x)+10
f(-3)=2^(-3)+10
f(-3)=1/8+10=81/8
The largest value for f(-3) is 14, The answer is B f(x)=2-4x
Please help
No links
Answer:
same thing as adding 3/5 +3/5
total number of parts in a rectangle is 5
the product is 6/5 or 1 1/5
pleaseee help me! :(
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
144°the value of x=144/2( inscribed angle is half of its arc)
72°stay safe healthy and happy....The chart below represents the number of marbles in a jar.
The probability that a marble selected from the jar is green, P(green) = 5/19. The correct option is therefore;
5/19
What is the theoretical probability of an event occurring?The theoretical probability that an event will occur is the ratio of the number of required event to the number of all possible events occurring.
The required parameter is the probability of marble in the jar to be green, P(green)
The number of each color of marbles in the jar are;
Red = 5, Yellow = 11, Blue = 7, Green = 10, Brown = 5
The total number of marbles in the jar is therefore;
5 + 11 + 7 + 10 + 5 = 38
The probability that a marble in the jar is green, P(green) = 10/38 = 5/19
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how many different functions are there from a set with 10elements to sets with the following numbers of elements?
Using the same logic, we can find the number of different functions from A to B2, B3, and so on. The number of possible mappings for each element in A remains the same, but the number of elements in B changes.
Let's denote the set with 10 elements as A, and the sets we are mapping to as B1, B2, B3, and so on.
To determine the number of different functions from set A to set B1, we need to consider that each element in A has to be mapped to an element in B1. There are no restrictions on which element can be mapped to which, so for each of the 10 elements in A, we have |B1| possible choices. Therefore, the total number of different functions from A to B1 is |B1|^10.
So, the total number of different functions from A to B2 is |B2|^10, and so on.
In summary, the number of different functions from A to sets with the following numbers of elements are:
- B1: |B1|^10
- B2: |B2|^10
- B3: |B3|^10
- and so on.
To determine the number of different functions from a set with 10 elements (the domain) to sets with varying numbers of elements (the range), we'll use the formula:
Number of functions = range size ^ domain size
For example, let's assume the range has 'n' elements. Then, the number of different functions from a set with 10 elements to a set with 'n' elements would be:
Number of functions = n^10
To find the number of functions for a specific range size, replace 'n' with the number of elements in that set.
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The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
whitch of the functions below could have created this graph
Answer:
C
Step-by-step explanation:
2 roots: 1 , -1
f(1) = 0 and f(-1) = 0 only function C fit the condition
Lee wants to fence off a rectangular area that is 36 feet squared in size for a vegetable garden. He is considering three garden lengths of 6 ft, 9 ft, and 12 ft. He wants to determine which garden would require the least amount of fencing.
Determine the dimensions of the garden that would require the least amount of fencing.
tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.
The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.
The dimensions are the sides of a geometric shape.
The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.
If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:
The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)
The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)
The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)
The parameters are calculated as:
The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft
The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft
The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft
The least of the parameter is of the garden with dimensions (6 ft, 6 ft).
Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.
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assume that a researcher wants to select individuals from a population so that an equal number of people from different ethnic groups (e.g., african-american, hispanic, asian-americans) are selected. the procedure the researcher would use is called
The procedure the researcher will use is called stratification sampling.
What is Stratified Sampling?A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.
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Find the exact value of the expression. Given cosθ=135 and sinθ<0; find cscθ.
The exact value of cscθ is (35 * √(1190)) / 1190.
To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.
Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.
In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.
Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.
Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:
sinθ = √(1 - (1/√35)^2)
= √(1 - 1/35)
= √(34/35)
= √34 / √35
= (√34 / √35) * (√35 / √35) [Multiplying numerator and denominator by √35 to rationalize the denominator]
= √(34 * 35) / 35
= √(1190) / 35
Now, since cscθ is the reciprocal of sinθ, we have:
cscθ = 1 / sinθ
= 1 / (√(1190) / 35)
= 35 / √(1190)
= (35 * √(1190)) / 1190.
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Circle M has the central angle LAMB with a measure of 63º. Which of the following statements does not represent the
circle M?
O AB is a minor arc
O mAB=63
The center of the circle is point M.
O AB is a major arc
Answer:
O AB is a major arc
Step-by-step explanation:
Circle M has the central angle LAMB with a measure of 63º
Which of the following statements does not represent the circle M?
----------------
O AB is a minor arc
yes, it is 63º, less than halfO mAB=63 º
yesO The center of the circle is point M.
yesO AB is a major arc
no, it is not more than halfa microorganism measures 5 μm in length. its length in mm would be
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
To solve this problem the we have to convert the units with the given information.
1mm is equal to 1000 μm
5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
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what is the equation for a cosecant function with vertical asymptotes found at such that n is an integer?
The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.
The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.
The cosecant function is written as follows: `csc(x) = 1/sin(x)`
Asymptotes are straight lines or curves that a graph approaches but never touches.
As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.
For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.
Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.
The general form of the cosecant function is `y = A csc(B(x - C)) + D`.
The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.
They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.
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Mai is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Company A charges $97 and allows unlimited mileage.Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.For what mileages will Company A charge less than Company B?Use m for the number of miles driven, and solve your inequality for m.
Answer:
m>60
Explanation:
Let the number of miles driven = m
Company A charges $97 and allows unlimited mileage.
\(\text{ Total Charge for Company A}=\$97\)Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
\(\text{ Total Charge for Company B}=55+0.70m\)When the charge for Company A is less than that of Company B:
\(97<55+0.70m\)We then solve the inequality for m:
\(\begin{gathered} 97\lt55+0.70m \\ \text{ Subtract 55 from both sides} \\ 97-55\lt55-55+0.70m \\ 42\lt0.70m \\ \text{ Divide both sides by 0.7} \\ \frac{42}{0.70}<\frac{0.70m}{0.70} \\ 6060 \end{gathered}\)Company A will charge less than Company B when the number of miles driven, m is greater than 60.
please help thank you.
The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°
How to calculate the angleIn a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.
Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.
Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:
180° - 120°
= 60°.
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\(\frac{4}{\sqrt{13}}\)
Answer:
\( \frac{4}{ \sqrt{13} } \times \frac{ \sqrt{13} }{ \sqrt{13} } = \frac{4 \sqrt{13} }{13} \)
I hope I helped you^_^
help please this is hard
Answer:
m∠A = 120°
m∠C = 45°
Step-by-step explanation:
all triangle angles add up to 180
(12x + 12) + 15 + (3x +18) = 180
15x + 45 = 180
15x = 135
x = 9
m∠A = (12x + 12) = 12(9) + 12 = 120
m∠C = (3x +18) = 3(9) + 18 = 45
a swimming pool is circular with a 40-ft diameter. the depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)
The volume of water in the pool is 10230 cubic feet.
Given : Swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.
To find : The volume of water in the pool?
Swimming pool is circular with a 40-ft diameter.
The radius of the pool is 40/20 = 20 ft
The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.
Depth average is:
Da = 5+10/2
= 7.5
The volume is given by:
V = π × r² × Da
V = 3.41 × (20)² × 7.5
V = 10230 ft²
The volume of water in the pool is 10230 ft² cubic feet.
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7. consider four values for the predictor. in which instance(s) would you have a trustworthy prediction when using the simple linear regression equation?
The trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.
To determine the trustworthiness of a prediction using a simple linear regression equation, we need to assess the degree of linearity and the strength of the relationship between the predictor and the response variable.
If the relationship between the predictor and response is linear, the simple linear regression model is appropriate, and if the relationship is strong, the predictions will be more trustworthy.
So, if we have four values for the predictor, we would need to evaluate the scatterplot of the predictor and response variable to determine the linearity and strength of the relationship.
If the scatterplot shows a clear and strong linear relationship between the predictor and the response variable, with a relatively small amount of scatter around the line of best fit, then we can be more confident that our predictions using the simple linear regression equation will be trustworthy.
On the other hand, if the scatterplot shows a weak or non-linear relationship, or a high amount of scatter around the line of best fit, then the predictions using the simple linear regression equation may not be as trustworthy.
Therefore, the trustworthiness of the prediction depends on the specific data and relationship between the predictor and response variable, and must be evaluated on a case-by-case basis.
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research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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