A student begins to build a model of a downtown bridge in the city where he lives. He
measures some of the angles formed by the sides of the model.
The student says both x and y are 65. Why is he incorrect? Use the drop-down menus t
explain your answer.

To determine the probability that a randomly selected guest is accepted by the host, we need more information about the scenario. For instance, we should know the total number of guests and the number of accepted guests. Let's say there are 'n' guests, and 'a' guests are accepted by the host.
Step 1: Identify the terms.
- n: Total number of guests
- a: Number of accepted guests
Step 2: Calculate the probability.
To find the probability, we'll divide the number of accepted guests (a) by the total number of guests (n). So, the probability is:
P(Accepted) = a / n
Step 3: Identify the type of probability.
In this case, the probability we've calculated is the "marginal probability," as it represents the likelihood of a single event occurring (a guest being accepted) without considering any other factors or events.

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To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.

21 gallons of the 3% solution is required.

Therefore, the amount of disinfectant in the solution

= 3/100  X  21 gallons

= 0.63 gallons

Let the amount of 5% disinfectant solution used be x

Therefore,

the amount of 2% disinfectant solution used is (21 - x)

Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.

Hence,

5/100 X x  +  2/100 X (21 - x) =  0.63

or, 5x/100 + (42 - 2x) / 100 = 0.63

or, 0.05x + 0.42 - 0.02x = 0.63

or, 0.03x = 0.63 - 0.42

or, 0.03x = 0.21

or, x = 0.21 / 0.03

or, x = 7

Therefore 21 - x = 14

Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.

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Answer:

0.99

Step-by-step explanation:

The coordinates of point b' are (-4, 1) and the coordinates of point c' are (-6, 0).

To obtain the coordinates of points b' and c' after the same translation as point a', we need to apply the same translation vector to points b and c.

The translation vector can be found by calculating the differences between the x-coordinates and the y-coordinates of points a' and a.

Translation Vector = (x-coordinate of a' - x-coordinate of a, y-coordinate of a' - y-coordinate of a)

                   = (-2 - 3, -3 - (-4))

                   = (-5, 1)

Now, we can obtain the coordinates of points b' and c' by adding the translation vector to the respective coordinates of points b and c.

For point b':

Coordinates of b' = (x-coordinate of b + x-coordinate of translation vector, y-coordinate of b + y-coordinate of translation vector)

                 = (1 + (-5), 0 + 1)

                 = (-4, 1)

Therefore, the coordinates of point b' are (-4, 1).

For point c':

Coordinates of c' = (x-coordinate of c + x-coordinate of translation vector, y-coordinate of c + y-coordinate of translation vector)

                 = (-1 + (-5), -1 + 1)

                 = (-6, 0)

Therefore, the coordinates of point c' are (-6, 0).

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Answer:

I think it is c

Step-by-step explanation:

I graphed it

Answer:

the answer is 3/1

Step-by-step explanation:

u do 8-5/4-3 which is 3/1

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

\(\frac{1}{27}\)

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\(\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}\)

Finally, we see that the probability of all three balls landing in the same bucket is \(\frac{1}{27}\)

Answer: A, C and E

Step-by-step explanation:

because there are 2 shapes in which have the same formula height times base so 6 is the base and n and m is both of the heights but they are the same height so you need to add them for the total height then mutiply the total height by 6 which means you can ALSO do 6n and 6m because if n=5 and m=2 6x5=30+6x2=12=42 and 6x(5+2)=42 and you can switch the equations around getting the same answer AND B is wrong because 6x5=30+2=32 NOT 42 and D is wrong because 6x5x2=60 not 42 SO it has to be A, C and E

plz mark be brainliest

Answer:

ux² + 3x²

Step-by-step explanation:

( u + 3 )x²

= ( u*x² ) + ( 3*x² )

= ux² + 3x²

In the given recipe, There are 4/9 cups of sugar should be used for every 1 cup of flour to maintain the ratio.

What are the ratio?

A ratio in maths is a comparison of two or more numbers that shows how big one is big in comparison to the other one. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

A recipe requires for 1/3 cup of sugar for every 3/4 cups of flour.

Let x be the sugar that should be used for every 1 cup of flour.

The ratio for the given quantities and required quantities will be same,

So, The cups of sugar required for every 1 cup of flour is given by:

\(\frac{x}{1} = \frac{1/3}{3/4}\)

\(\frac{x}{1} = \frac{4}{9}\)

x = 4/9

Therefore, 4/9 cups of sugar is required for 1 cup of flour.

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Answer:

It is 2/15

Step-by-step explanation:

\( = \sqrt{ \frac{1}{ {6}^{2} } - \frac{1}{ {10}^{2} } } \\ \\ = \sqrt{ \frac{4}{225} } \\ \\ = \frac{ \sqrt{4} }{ \sqrt{225} } \\ \\ = \frac{2}{15} \)

Answer:

(5x - 4) = 2(2x + 1)

Step-by-step explanation:

Since Ancilla is twice as old as Christabel

Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,

(5x - 4) = 2(2x + 1)

Answer:

Step-by-step explanation:

If the impedance is related to the voltage and the current by the formula V = IZ where;

V is the voltage

I is the current

Z is the impedance

Given

I = 0.4+3i

V = 0.3-2i

Voltage V = (0.4+3i)(0.3-2i)

V = 0.4(0.3)-0.8i+0.9i-6i²

V = 0.12+0.1i -6i²

Since i² = -1

V = 0.12+0.1i-6(-1)

V = 0.12+0.1i+6

V = 6.12+0.1i.

Hence the impedance is 6.12+0.1i

As a result, the two phrases are logically equal. The two formulations are not logically identical, as we can see. The two formulations are not logically identical, as we can see.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.

Here,

(a) The first statement can be expressed as:

(~j -> (l v ~r))

The second statement can be expressed as:

((r ^ ~l) -> j)

To determine whether the two expressions are logically equivalent, we can use truth tables. A truth table is a method for checking the validity of logical equivalences by comparing the truth values of the two expressions for all possible combinations of inputs.

Truth table for (~j -> (l v ~r)) and ((r ^ ~l) -> j):

j l r (~j -> (l v ~r)) ((r ^ ~l) -> j)

T T T T T

T T F T T

T F T F F

T F F T T

F T T T T

F T F T T

F F T T T

F F F T T

Since both expressions have the same truth values for all possible combinations of inputs, we can conclude that the two expressions are logically equivalent.

(b) The first statement can be expressed as:

(j -> ~l)

The second statement can be expressed as:

(~j -> l)

Truth table for (j -> ~l) and (~j -> l):

j l (j -> ~l) (~j -> l)

T T T F

T F T T

F T T T

F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

(c) The first statement can be expressed as:

((r v ~l) -> j)

The second statement can be expressed as:

(j -> (r ^ ~l))

Truth table for ((r v ~l) -> j) and (j -> (r ^ ~l)):

j l r ((r v ~l) -> j) (j -> (r ^ ~l))

T T T T T

T T F T T

T F T T T

T F F T T

F T T T F

F T F T F

F F T T F

F F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

We can conclude that the two expressions are logically equivalent. We can conclude that the two expressions are not logically equivalent. We can conclude that the two expressions are not logically equivalent.

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Answer: c≈44°

Step-by-step explanation:

cos(c)=0,7193

c=arccos(0.7193)

c≈44°

Answer

Days

Step-by-step explanation:

Then number of blue shirts worn on the vertical

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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Answer:  1/3

Step-by-step explanation: From what I can see, when y is 1, x is 3. slope is y2-y1/x2-x1

The pairs are (0,0) and (3,1). 1-0 is 1 and 3-0 is 3. Therefore the slope is 1/3

Answer:

Graph this points u will get the line.

(0,2) (2/5,0)

Step-by-step explanation:

The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of the line is given below.

y = – 5x + 2

Put y = 0, then the x-intercept will be

0 = – 5x + 2

x = 2/5

x = 0.4

The x-intercept is (0.4, 0).

Put x = 0, the y-intercept will be

y = – 5(0) + 2

y = 2

The y-intercept is (0.4, 0).

Then the equation of line is drawn below.

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The estimated number of students at Tamara's school who would prefer a longer lunch period is between 1097 and 1536.

To determine the estimated number of students at Tamara's school who would prefer a longer lunch period, we can use the margin of error to calculate the range.

Given that Tamara surveyed 100 out of 2195 students, we can set up a proportion to estimate the number of students who would prefer a longer lunch period:

(60% ± 10%) = (x/2195)

To calculate the lower bound of the estimated number of students, we use the lower percentage value:

(50%) = (x/2195)

Cross-multiplying, we get:

x = 0.5 * 2195

x = 1097.5

So, the lower bound of the estimated number of students who would prefer a longer lunch period is 1097.

To calculate the upper bound of the estimated number of students, we use the higher percentage value:

(70%) = (x/2195)

Cross-multiplying, we get:

x = 0.7 * 2195

x = 1536.5

So, the upper bound of the estimated number of students who would prefer a longer lunch period is 1536.

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The five sets of integers that has a mean of -10 will be 10, -15, -2, -12, and -11.

It should be noted that mean simply means average. Therefore, the numbers that will give a mean of -10 will be:

-10, -15, -2, -12, and -11.

Therefore, the mean will be:

= ( - 10 + -15 + -2 + -12 + -11) / 5

= -50 / 5

= -10

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The x-component of vector D is 2, and the y-component of vector D is the negative of the x-component of vector D.

Let's break down the given information:

R = A + B

The x-component of R is given as 2, so we have R_x = 2.

The y-component of R is given as 3, so we have R_y = 3.

S = A + 2B

The x-component of S is given as 1, so we have S_x = 1.

The y-component of S is the same as the x-component of S, so we have S_y = S_x = 1.

D = B - A

The x-component of D is given as 2, so we have D_x = 2.

The y-component of D is the negative of the x-component of D, so we have D_y = -D_x = -2.

The x-component of vector R is 2, and the y-component of vector R is 3.

The x-component of vector S is 1, and the y-component of vector S is also 1.

The x-component of vector D is 2, and the y-component of vector D is -2.

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The required probabilities for the events in question are:

Based on the parameters given :

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Total number of slots = 18+18+2 = 38

A.)

Probability of green slots 2 or more times :

(2/38)² × (36/38)²³ = 0.00080

B.)

Probability of ball not entering the green slots

1 - P(green slots)

P(not entering green slot ) = 1 - 0.0008 = 0.9992

C.)

probability that ball falls into black slot 15 or more times :

(18/38)¹⁵ * (20/38)¹⁰ = \(2.21\times10^{-8}\)

D.)

Probability that ball falls into red slot 10 or less times :

(10/38)¹⁰ * (28/38)¹⁵ = \(1.63\times10^{-8}\)

Therefore, the required probabilities are :

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The area of circle calculated form the circumference of circle is 6.25π cm².

The circumference of circle is represented by the formula -

Circumference = 2πr, where r is the radius of the circle.

Keep the value of circumference to find the radius of circle.

5π = 2πr

Cancelling π on each side of the equation

2r = 5

r = 5/2 cm

Now, we know the area of circle is given by the formula -

Area = πr²

Keep the values of radius in the formula -

Area = π× (5/2)²

Taking square on Right Hand Side of the equation

Area = 25π/4

Performing division on Right Hand Side of the equation

Area = 6.25π cm²

Thus, the area is 6.25π cm².

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The product(s) of an acid-base mechanism depend on the specific reactants involved. Without knowing the reactants, it is not possible to provide a definitive answer.

However, in general, acid-base reactions involve the transfer of a proton (H+) from an acid to a base, resulting in the formation of a conjugate acid and a conjugate base. The conjugate acid is formed by the acceptance of the proton, while the conjugate base is formed by the donation of the proton.

It is important to note that without specific reactants, it is impossible to determine the exact products of an acid-base mechanism. The nature of the reactants and their acid-base properties determine the specific products formed in a given reaction.

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