The box plot represents the scores on quizzes in a history class.

A box plot uses a number line from 69 to 87 with tick marks every one-half unit. The box extends from 75 to 82 on the number line. A line in the box is at 79. The lines outside the box end at 70 and 84. The graph is titled History Quizzes, and the line is labeled Scores on Quizzes.

What value does 75% of the data lie below? Find the value.

The probability of getting at least one correct match when randomly mixing the cards and envelopes is 5/8 (option c).

There are a total of 4! = 24 possible ways to match the cards and envelopes. Out of these, only one way is the correct matching where all the cards are paired correctly with their corresponding envelopes.

The probability of not getting any correct match is the number of permutations with no correct match divided by the total number of permutations. To calculate this, we can use the principle of derangements. The number of derangements of 4 objects is given by D(4) = 4! (1/0! - 1/1! + 1/2! - 1/3! + 1/4!) = 9.

Therefore, the probability of not getting any correct match is 9/24 = 3/8.

Finally, the probability of getting at least one correct match is the complement of the probability of not getting any correct match. Thus, the probability of getting at least one correct match is 1 - 3/8 = 5/8.

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Cyrstal earned more per hour. She earned 0.50 cents more that Xavier each hour.

The difference between the face value ($4,000) and the calculated value ($3,094.59) of the bond is due to the difference in the current yield to maturity and the coupon rate.

To find the value of the bond, we can use the formula for the present value of a bond:

Bond Value = (Coupon Payment / \((1 + Yield/2)^(2n))\) + (Face Value / (1 + \(Yield/2)^(2n))\)

Where:

Coupon Payment = (8.1% / 2) * Face Value

Yield = 14.62% (expressed as a decimal)

n = number of coupon periods remaining = (26 - 6) * 2

Plugging in the values, we get:

Coupon Payment = (8.1% / 2) * $4,000 = $162

n = (26 - 6) * 2 = 40

Using a financial calculator or spreadsheet, we can calculate the present value of the bond to be $3,094.59.

The difference between the face value ($4,000) and the calculated value ($3,094.59) of the bond is due to the difference in the current yield to maturity and the coupon rate.

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Given the function `y = (x-6) / (x^2 + 5x + 6)`, let's identify the vertical asymptotes and holes: Factoring the denominator, we get`(x^2 + 5x + 6) = (x+2)(x+3)`So, `y = (x-6) / (x+2)(x+3)`

The vertical asymptotes of the function are the roots of the denominator. Thus, the vertical asymptotes of the function are `x = -2` and `x = -3`.Now, we'll look for the holes in the function. A hole is a point where the function is undefined but can be simplified by canceling common factors.

In the given function, we notice that the numerator `(x-6)` and the denominator `(x+2)(x+3)` have a common factor of `(x-6)`. Thus, there is a hole at `x = 6`.We can cancel `(x-6)` from both numerator and denominator to obtain the simplified function `y = 1 / (x+3)`.Therefore, the vertical asymptotes are `x = -2` and `x = -3`, and there is a hole at `x = 6`.

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The correct answer is "the model of arrivals." A Poisson process is a statistical model used to describe the arrival times of events that occur randomly over time. These events are assumed to occur independently of each other and with a constant rate or intensity. The process is named after French mathematician Siméon Denis Poisson.

The model of departure times, on the other hand, describes the times at which objects or individuals leave a certain location or system. It is not necessarily a Poisson process and can depend on various factors such as the size of the system or the behavior of the individuals.

Dependent events are those that are influenced by previous events or conditions. They are not typically modeled using a Poisson process, as this assumes independence between events. However, there are other statistical models that can be used to describe dependent events.

Overall, it is important to understand the characteristics and assumptions of different statistical models in order to choose the appropriate one for a given situation.

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Answer:

c i believe

Step-by-step explanation:

brainliest?

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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answer: 0.001

I got the answer from the quiz 4.1.3 continuous random variables

Answer:

0.01

Step-by-step explanation:

Answer:

X = 4

Step-by-step explanation:

First you subtract X from both sides of the equation and then simplify, then divide both sides of the equation by the same term then Simplify one more time.

The linear function that defines C is given as follows:

C(x) = 400 + 100x.

The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the image given at the end of the answer, the values of these parameters are given as follows:

m = 100, b = 400.

The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:

y = 100x + 400.

The graph is given by the image shown at the end of the answer.

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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The value of z is 242.4.

Two triangles are considered to be similar if their corresponding angles and sides are identical and their corresponding sides are proportionate, or if their corresponding side length ratios are comparable.

Similar triangles are triangles with similar shapes but different sizes. Related items include all equilateral triangles and squares with any side length.

In identical triangles, the ratios of matching sides were equal.

Consider the triangles below:

DFE and CFB

x/45 = 36/48

=> x= (36*45)/48 = 33.75

consider the similar triangles:

ADE and ABC.

z/(z+60) = 45/x

=> z= [45(z+60) ]/33.75

=> z=(45z+2700)/33.75

=>  z= 1.33z + 80

=> z- 1.33z = 80

=> z(1-1.33) = 80

=> -0.33z =80

=> z =80/-0.33 = -242.4

consider positive value for side length

z = 242.4

The value of z is 242.4

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The likelihood, according to the experiment, that the next individual to sit down has red hair is therefore 2/34 = 1/17, or roughly 0.059 or 5.9%.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. The likelihood of an occurrence P(E) = (Num of successful results) is how it is stated (Sample space).

The amount of times an event occurs in relation to all possible trials or observations is known as the empirical probability of that occurrence.

In this instance, the trial or observation is the entirety of the individuals whose blonde hair was recorded, and the occurrence is the next individual with red hair.

The following number of people had their hair color recorded:

20 + 2 + 4 + 4 + 4 = 34

There are 2 individuals with red hair.

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Answer:

1/17

Step-by-step explanation:

Answer: 5659.2

Step-by-step explanation:

multiply separately first

4.9 *1024 =5017.6

6041.6+5017.6=5659.2

Let v be a vector space and f ⊆ v be a finite set. To show that f ∪{u} is a linearly independent set, we need to prove that the only linear combination of its elements that equals the zero vector is the trivial one (i.e., all coefficients are zero).

Suppose that there exist scalars a1, a2, ..., an, b such that:

b*u + a1*v1 + a2*v2 + ... + an*vn = 0
where v1, v2, ..., vn are elements of f.

We want to show that all coefficients are zero.

Since u /∈span f, we know that u cannot be written as a linear combination of elements of f. Therefore, b ≠ 0.

We can rearrange the equation to get:
b*u = -(a1*v1 + a2*v2 + ... + an*vn)

Since f is linearly independent, we know that the only linear combination of its elements that equals the zero vector is the trivial one. Therefore, a1 = a2 = ... = an = 0.

Substituting this into the equation, we get
b*u = 0

Since b ≠ 0, we know that u = 0, which contradicts the fact that u is not in the span of f.

Therefore, our assumption that there exist nontrivial coefficients that satisfy the equation is false, and f ∪{u} is indeed a linearly independent set.

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Answer:

No, the answer would be 51755.3 (repeating), so no.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Make me brainliest please :)

Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

pls rate as brainliest

just to clarify some part of the notation

\(a_n=-\cfrac{3}{4}a_{n-1}\)  this is simply saying that whatever "nth" term you wish to get, is -3/4 times whatever is before it, so another wording for that will be, the next term is the current term times -3/4, so in short -3/4 is the common ratio.

\(\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ a_1=64\\ n=4\\ r=-\frac{3}{4} \end{cases}\)

\(S_4=64\left( \cfrac{1-\left( -\frac{3}{4} \right)^4}{1-\left( -\frac{3}{4} \right)} \right)\implies S_4=64\left( \cfrac{~~ \frac{ 175 }{ 256 } ~~}{\frac{7}{4}} \right) \\\\\\ S_4=64\left( \cfrac{25}{64} \right)\implies S_4=25\)

To find the derivative of a given function, differentiate both sides with respect to x, apply the product rule, simplify the equation, combine like terms, and solve for y'. The derivative of the given function 3x + 5y = (3x + 1)(4x + 3) is y' = (24x + 13) / 5.

To find the derivative of the given function, we'll first differentiate both sides of the equation with respect to x, and then solve for y'. Here's the process:

Given function: 3x + 5y = (3x + 1)(4x + 3)

Step 1: Differentiate both sides with respect to x.
d/dx(3x + 5y) = d/dx[(3x + 1)(4x + 3)]

Step 2: Apply the product rule to the right side and differentiate each term.
3 + 5(dy/dx) = (3x + 1)(4) + (4x + 3)(3)

Step 3: Simplify the equation.
5(dy/dx) = 12x + 4 + 12x + 9

Step 4: Combine like terms.
5(dy/dx) = 24x + 13

Step 5: Solve for dy/dx, or y'.
y' = (24x + 13) / 5

So, the derivative of the given function is y' = (24x + 13) / 5.

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The measure of the angle that it is complementary which is represented by 90-x is always true. Option A

An acute angle is simply defined as an angle that measures from 90° and 0°. This means that it is smaller than a right angle.

It is formed in the space between two intersecting lines or planes, or from the intersection of two shapes.

A complementary angle can be defined as a pair of angles whose sum is equal or equivalent to 90 degrees.

From the information given, we have that;

x is the acute angle

The complementary angle is 90 - x

We can see that the angle x must be complementary to be subtracted from 90 degrees.

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The complete question:

If the measure of an acute angle is represented by x, then the measure of its complement is represented by 90 – X.

always true

sometimes true

never true

Answer:

22.3 x 1.8 = 40.14

Step-by-step explanation:

22.3

x  1.8  

________

1784

2230

________

40.14

Answer:

40.14

Step-by-step explanation:

22.3

× 1.8  ← Forget about the decimal places and multiply by the one's place.

1 7 8 4

2 2 3 0 ← Put a 0 to hold the one's place and multiply 223 by ten's place.

4 0 . 1 4 ← Add those 2 numbers and keep 2 decimal places.

Answer:

x=1.234654

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

(log to the base 3) of 27^x can be re-written as

x*(log to the base 3) of 27, which is equivalent to:

x*(log to the base 3 of 3^3)  =  x

So the answer is simply " x "

Answer:

x = 25

Step-by-step explanation:

The measure of angle A is 108°

An angle is formed when two straight lines or rays meet at a common endpoint.

Supplementary angles are those angles that sum up to 180 degrees.

Given that angle A and angle B are supplementary angle

∠A=(7x+10)°

∠B=(7x−26)°

(7x+10)° + (7x−26)° =180°

14x - 16° =180°

14x =196°

x= 14°

∠A=(7x+10)°

∠A=(7(14) +10)°

∠A= 108°

Thus the measure of angle A is 108°

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no

Hope this helps

:T

:B

:D

From what we have, x can equal 12

4x > 20

20/4 = 5

x > 5

12 > 5

Answer:

3 acute angles.

Step-by-step explanation:

Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.

An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.

Answer:

X=24

please mark brainliest ♡♡

Step-by-step explanation:

x/3-x/4=2

4x/12-3x/12=

x/12=2

x=24

The number of street lamps is 5 by the remaining five people.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that suppose that 20 of the 25 townspeople decide that they will not help pay for street lamps, and will instead enjoy (for free) the street lamps built by the other five people.

The number of street lamps is,

Lamps = 25 - 20

Lamps = 5

Therefore, the number of street lamps is 5 for the remaining five people.

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Answer:

The maximum number of street lamps that will be built by the remaining five people will be 0

I think this is right

Answer:

8 forks

Step-by-step explanation:

12:2

This ratio means there are 12 spoons and 2 forks,

12x4=48 and 2x4=8

48+8=56

Therefore there are 8 forks.