bag contains n white discs and 5 black discs.
A disc is taken out at random.
What is the probability that the disc is blac

Answer:

\(a.) y=\frac{1}{4} x+3\)

Step-by-step explanation:

Any two points along the line are (4,4) and (0,3),

\(Gradient= \frac{4-3}{4-0}=\frac{1}{4}\)

we know the y intercept is 3

Therefore equation of the line is : \(y=\frac{1}{4} x+3\)

Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

The current value of Joy's portfolio is $21,771. She purchased the stocks using a broker, and we need to find the broker fee 'f'.

The total cost of the transaction, including the broker fee, would be the current value of the portfolio. Therefore, we can set up the equation:

s + f = 21,771

Since we are solving for 'f', we rearrange the equation:

f = 21,771 - s

The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55

Answer:

6,881.9755

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 5000(1 + \(\frac{.04}{12}\))^12(8)

   = 5000(1.00333)⁹⁶

   = 5000(1.37639)

    = 6,881.9755

The Two unit vectors orthogonal to both = (1, 2, 4) and = (0, 3, 4) are {(1, 1, -4/3), (-1/3, -5/3, 2/3)}.

We are to find two unit vectors orthogonal to both = (1, 2, 4) and = (0, 3, 4).

Here are the steps to follow: We will first find a vector that is orthogonal to both vectors,  = (1, 2, 4) and  = (0, 3, 4) by taking the cross product of the two vectors.

To find the cross product, we find the determinant of the matrix below:| i  j  k || 1  2  4 || 0  3  4 |i = det{{{"{"}}} {(2,4), (3,4)}{{{"}"}}} = 8 - 12 = -4j = -det{{{"{"}}} {(1,4), (0,4)}{{{"}"}}} = 4k = det{{{"{"}}} {(1,2), (0,3)}{{{"}"}}} = 3

So the cross product is (-4, 4, 3).Let vector v be the cross product. We will now find two unit vectors that are orthogonal to v.Let's first find a unit vector that is orthogonal to v.

We can choose any coordinate except for the coordinate that is the largest in magnitude.

So let's say we choose x = 1. Then the system of equations becomes -4(1) + 4y + 3z = 0. One solution is (1, 1, -4/3), which is a direction vector for a line that is perpendicular to v.

Now, we will find a unit vector that is also orthogonal to v, and this can be found using the projection formula

v - proj_v( ) = w.

Using the formula, we get:proj_v( ) = [(  ) . v/ ||v||^2] v = (1/21)(-4, 4, 3)w = v - proj_v( ) = (-1/3, -5/3, 2/3)

So we have two orthogonal unit vectors to v which are, {(1, 1, -4/3), (-1/3, -5/3, 2/3)}.

So, two unit vectors orthogonal to both = (1, 2, 4) and = (0, 3, 4) are {(1, 1, -4/3), (-1/3, -5/3, 2/3)}.

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Answer:

X=21/4

Step-by-step explanation:

Answer: 5.25 or 21/4

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

5x - 11 = 10 + x

4x - 11 = 10

4x = 21

x = 21/4

Answer:

1) Given

2) Defintion of Right Angle

3) Transitive Property of Equality

4) Definiton of Congruent Angles

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

\(4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7 (5/7)\)

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

Answer:

a) x=1/2

Step-by-step explanation:

Plug In

-3 (1/2) + 1 + 10 (1/2) = 1/2 + 4

:)

Answer:

By using the formulas of circle and geometry, we find that ∠CED = 65°.

Step-by-step explanation:

We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite, so

∠CED = 0.5 × (arc AB + arc CD)

See the attached figure with letters to better understand the problem

arc AB = 82° (by central angle)

arc CD = 48° (by central angle)

Substitute the values in the formula above

∠CED = 0.5 × (82° + 48°)

∠CED = 0.5 × 130°

∠CED = 65°

Therefore the answer is ∠CED = 65°

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Answer: 750 cm^2

Step-by-step explanation:

Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good

Step-by-step explanation:

7(x-1)=3x+2

Distribute through the parentheses

7x-7=3x+2

Move the variable to the left-hand side and change its sign

7x-7-3x=2

or Move the constant to the right-hand side and change its sign

7x-7-3x=2

Collect like terms

4x=2+7

And then Add the numbers

4x=9

Divide both sides of the equation by 4

x=9/4

Mixed number is 2 1/4

Because the interval does not contain 0, we can conclude that there is a significant association between the variables.

If a 95% confidence interval includes the null value, then there is no statistically meaningful or statistically significant difference between the groups.

But here the case is different, CI doesn't include 0.

Dependent and independent variables are variables in mathematical modeling, statistical modeling, and experimental science. Dependent variables are given this name because they are examined in experiments under the assumption or requirement that their values ​​depend on the values ​​of other variables by some law or rule.

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Answer:

98

Step-by-step explanation:

97 is prime, so its only factors are 1 and 97, which add to 98.

Answer:

1.4 is the slope

Step-by-step explanation:

comment if you want me to explain

\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)

Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

\(3(3)-5=4\\4(3)-9=3\)

The third term of a sequence is 14. Term to term rule is square, then subtract 11. The first term of the sequence is 6.

The given information is about the third term of a sequence which is 14, and the term to term rule is square, then subtract 11.

We have to find the first term of the sequence. The sequence can be calculated using the following formula:

An = A1 + (n-1)d

Where, An is the nth term of the sequence A1 is the first term of the sequence d is the common difference between the terms of the sequence. Let's solve the problem by finding the value of the common difference between the terms of the sequence.

Using the given information, we can write: A3 = 14=> A1 + (3 - 1)d = 14=> A1 + 2d = 14 ----- (i)

Also, the term to term rule is square, then subtract 11.So, we can write, A2 = A1 + d = (A1)² - 11 ---- (ii)

Substituting the value of d from equation (ii) in equation (i),

we get: A1 + 2 [(A1)² - 11] = 14 Simplifying this equation, we get: A1² - 2A1 - 12 = 0 On solving this quadratic equation

we get: A1 = -2 or A1 = 6 Ignoring the negative value of A1, we get the first term of the sequence to be 6.

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Thus, the expected number of tosses to get the HTH  (heads, tails, heads) sequence in a fair coin toss is 8.

The expected number of tosses to obtain the HTH sequence in a fair coin toss can be calculated using the concept of conditional probability and Markov chains.

In this case, we have three states:

State 0 (No Progress), State 1 (One Match - H), and State 2 (Two Matches - HT). The goal is to reach State 3 (HTH).

Let E(i) represent the expected number of tosses to reach HTH from state i. For State 0, we have two possibilities: either we toss a head (H) and move to State 1, or we toss a tail (T) and stay in State 0.

Each of these events occurs with a 1/2 probability.

Therefore, E(0) = 1/2 * (1 + E(1)) + 1/2 * (1 + E(0)).

From State 1, we can either toss a tail (T) and move to State 2 or toss a head (H) and remain in State 1.

Thus, E(1) = 1/2 * (1 + E(1)) + 1/2 * (1 + E(2)).

From State 2, we can either toss a head (H) and achieve our goal (HTH) or toss a tail (T) and return to State 0.

Hence, E(2) = 1/2 * (1 + E(0)) + 1/2 * 1.

By solving these equations, we get E(0) = 8. It means that the expected number of tosses to get the HTH sequence in a fair coin toss is 8.

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Answer: 100 Kilometers = 62.1371192 Miles

Step-by-step explanation: Each kilometer is about 2 miles

The value of 100 kilometers in miles is 62.1 miles.

What is Kilometer ?

Kilometer is a quantity which is used to measure the distance by the given information.

Given

To find , 100 kilometers is equal to how many miles.

So we know that,

1 kilo meter = 0.621

So,

for 100 kilo meters we have to multiply with 0.621 approx

so we get,

100 kilo meters = 100*0.621

= 62.1 miles

SO, 100 kilo meters = 62.1 miles

Therefore, The value of 100 kilometers in miles is 62.1 miles.

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Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

all the details can be found in the attachment.

Answer:

A 72$

and a good day

Answer:

72

explanation:

Just took the test

The cosecant function of expression cscâ¹(â2) is undefined. The value of cosâ¹(1/â2) = 2π/3 radians.

The expression cscâ¹(â2), since the cosecant function is only defined for angles between -π/2 and π/2, we cannot find an angle with a cosecant of -2. Therefore, the expression is undefined.

The expression cosâ¹(1/â2) is asking "what angle has a cosine of 1/(-2) = -1/2?" Since the cosine function is negative for angles between π/2 and 3π/2, we know that the angle we are looking for is in the second or third quadrant.

To find the angle, we can use the inverse cosine function, which gives us the angle whose cosine is equal to the given value. Therefore, we have

cosθ = -1/2

Taking the inverse cosine of both sides, we get

θ = cos⁻¹(-1/2)

Using the unit circle or trigonometric identities, we can find that cos⁻¹(-1/2) = 2π/3 or 4π/3. Since the cosine function is negative in the second quadrant and also in the third quadrant, we choose the solution in the second quadrant, which is θ = 2π/3.

Therefore, cosâ¹(1/â2) = 2π/3 radians.

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Answer:

x = 7ft

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7 times 4 is 28 minus 3 is 25.

7 times 2 is 14 plus 21 is 35. 25 plus 35 equal 60. DG equals 60.