Please help, she never told is how to do this and i cant find any answers

Answer:

D. 42

Step-by-step explanation:

40 people * 3 cakes per person = 120 cakes

35% of 120 = 0.35 * 120 = 42 chocolate cakes

Answer: you answer would be A:14

Step-by-step explanation:

Therefore, the probability that you match on at least five of them is 0.376.

Suppose that you are seated next to a stranger on an airplane and you start discussing various topics such as where you were born (what state or country), what your favorite movie of all time is, your spouse's occupation, and so on. For simplicity, assume that the probability that your details match for any given topic is approximately 0.5. Assume further that you discuss ten topics with the stranger. What is the probability that you match on at least five of them?

Given that we have discussed 10 topics with a stranger, and the probability that our details match for any given topic is approximately 0.5.

So the probability that they don't match is 1-0.5 = 0.5.

Now let X = number of topics out of 10 on which we match the stranger.

The distribution of X is Binomial with n=10 and p=0.5.i.e. X ~ B(10, 0.5)We are interested in P(X ≥ 5)P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Now, using the Binomial probability distribution formula,P(X = k) = (nCk)pk(1−p)n−k where nCk is the number of combinations of n things taken k at a time.

We use the formula as follows:

P(X = 5) = (10C5)(0.5)5(0.5)10−5

P(X = 6) = (10C6)(0.5)6(0.5)10−6

P(X = 7) = (10C7)(0.5)7(0.5)10−7

P(X = 8) = (10C8)(0.5)8(0.5)10−8

P(X = 9) = (10C9)(0.5)9(0.5)10−9

P(X = 10) = (10C10)(0.5)10(0.5)10−10

Now substituting values, P(X ≥ 5) = (10C5)(0.5)5(0.5)10−5 + (10C6)(0.5)6(0.5)10−6 + (10C7)(0.5)7(0.5)10−7 + (10C8)(0.5)8(0.5)10−8 + (10C9)(0.5)9(0.5)10−9 + (10C10)(0.5)10(0.5)10−10= 0.376

Let us write down the steps we have used to solve the problem:

Given that we have discussed 10 topics with a stranger, and the probability that our details match for any given topic is approximately 0.5. So the probability that they don't match is 1-0.5 = 0.5.

Let X = number of topics out of 10 on which we match the stranger. The distribution of X is Binomial with n=10 and p=0.5. i.e. X ~ B(10, 0.5). We are interested in P(X ≥ 5).

Using the Binomial probability distribution formula, P(X = k) = (nCk)pk(1−p)n−k, we calculate the probabilities of matching on 5, 6, 7, 8, 9, and 10 topics. We add these probabilities to get P(X ≥ 5) = 0.376.

Therefore, the probability that you match on at least five of them is 0.376.

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Answer:

\(( - 4.6) + (3. - 7) = 0.6\)

By the distance formula,

\(d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }\)

Here,

\(x_1 = -4\)

\(y_1 = 6\)

\(x_2 = -7\)

\(y_2 = 3\)

Hence,

\(d = \sqrt{( {(-7 )+(- 4))}^{2} + {( 3 + 6)}^{2} } \)

\(d = \sqrt{ {(-11)}^{2} + {9}^{2} } \)

\(d = \sqrt{121+ 81} \)

\(d = \sqrt{202} \)

In a 6-dimensional data cube with no hierarchies associated with any dimension, the total number of cuboids can be calculated as 63, using a formula based on the inclusion-exclusion principle.

For a 6-dimensional data cube, there are 2^6 - 1 = 63 non-empty subsets of dimensions. Each subset represents a cuboid. Therefore, there are 63 cuboids in a 6-dimensional data cube without any hierarchies associated with the dimensions.

This calculation is based on the concept that each subset of dimensions corresponds to a unique cuboid in the data cube. By summing up the cardinalities of all possible subsets, excluding the empty set, we arrive at the total count of 63 cuboids in the given scenario.

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Answer:

Step-by-step explanation:

=600000/144000

Answer:

m<1=115°(Alternative interior Angles)

Answer:

\(at \: y = 20 \\ x = 20\)

Answer:

\(f(x)=4x-2\\f(4)=4(4)-2\\f(4)=16-2\\f(4)=14\)

Step-by-step explanation:

it is a right triangle lengths 6 8 and 10.

In this issue:

Then:

\(& 6^2+8^2=10^2 \\\)

\(& 36+64=100 \\\)

\(& 100=100\)

Identity, so it is a right triangle.

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For t = 5π/4, sin(t) = -√2/2, cos(t) = -√2/2, tan(t) = 1

At t = 5π/4, it falls in the third quadrant, where the sine function is negative. The reference angle for 5π/4 is π/4.

sin(t) = -sin(π/4) = -√2/2

sin(t) = -√2/2

At t = 5π/4, it falls in the second quadrant, where the cosine function is negative. The reference angle for 5π/4 is π/4.

cos(t) = -cos(π/4) = -√2/2

cos(t)= -√2/2

The tangent function can be calculated by dividing the sine by the cosine.

tan(t) = sin(t)/cos(t) = (-√2/2)/(-√2/2) = 1

tan(t) = 1

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The output value of h( 2 ) in the function h( x ) = 4x + 4 is 12.

A function is a relationship that maps one input to one output, for a relation to qualify as a function, each of its x-value can only have one y-value.

Given the data in the question;

To solve for the output value of h( 2 ), replace all the occurrence of x with 2 in the function and simplify.

h( x ) = 4x + 4

h( 2 ) = 4( 2 ) + 4

Multiply 4 and 2

h( 2 ) = 8 + 4

Add 8 and 4

h( 2 ) = 12

Therefore, the output value is 12, this forms an ordered pair of (2,12) on the graph.

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f(x) is one-one function and the inverse function \(f^-1(x) = (x - a)/(1 + a)\)and its domain is (-∞, a) ∪ (a, ∞).

Given:

A function f(x) = 2 + (ax/1+x) and

domain D= R{-1}=(-∞,-1)∪(-1,∞)

To prove: Function f is one-one.

Also, find the inverse function f^-1 and its domain.

Method of proving f is one-one:

We need to show that

if f(x1) = f(x2) for some x1, x2 ∈ D, then x1 = x2.

Let

\(f(x1) = f(x2)f(x1) \\= f(x2)2 + (ax1/1 + x1) \\= 2 + (ax2/1 + x2)\)

This implies

\(ax1/(1 + x1) = ax2/(1 + x2)\)

Cross multiplying, we get

\(ax1 (1 + x2) = ax2 (1 + x1)ax1 + ax1x2 \\= ax2 + ax2x1ax1 - ax2\\= ax2x1 - ax1x2a (x1 - x2)\\ = (ax1x2 - ax2x1)a (x1 - x2) \\= a (x1x2 - x2x1)a (x1 - x2) \\= 0\)

Since a is not equal to zero, x1 = x2.

Method to find inverse function:

Let\(y = f(x)2 + (ax/1 + x)\\ = y2 + ax/1 + x \\= y2 + ax = y (1 + x)x - y\\ = ax + yx(1 + a) \\= y - a\)

Therefore,

\(x = (y - a)/(1 + a)\)

Le\(t f^-1(y) = (y - a)/(1 + a)\)

Domain of\(f^-1(x)\)

The function f^-1(x) exists if y - a is not equal to zero for any y ∈ D.

Therefore, the domain of

\(f^-1(x)\) is D = (-∞, a) ∪ (a, ∞).

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9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The equation is written in the form ...

  y = kx . . . . . k is the constant of proportionality

where k = 7.6.

The constant of proportionality is 7.6.

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

What is the unit rate?

A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The number of teaspoons:

                                      \(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)

Amount of pasta:

                              \(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)

Now the unit rate = number of teaspoons/ amount of pasta

                             \(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)

Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

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Answer:

Step-by-step explanation:

1/2

Answer:

1 + 3/5x + 2

the first expression = eighteen and 1 + 3/5x + 2 is the only other expression that = eighteen. Hope this helps and good luck!!

Step-by-step explanation:

Answer:

\(w=\frac92\)

Step-by-step explanation:

Let's remember that the slope of a line measures the ratio of the variation in y over the variation in x. Let's plug the numbers we have and see what we get

\(m= \frac {\Delta y}{\Delta x}; \frac18 = \frac{w-4}{-6-(-10)}\rightarrow\\\frac18 = \frac{w-4}{4}\rightarrow 2w-8=1 \rightarrow w=\frac92\)

Answer:

C. \(\frac{9}{2}\)

Step-by-step explanation:

Hi there!

We are given the points (-6, w) and (-10,4), and that the slope that passes between these two lines is 1/8

We want to find the value of w

We can do that by plugging in our given values into the equation \(\frac{y_2-y_1}{x_2-x_1}=m\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points, and m is the slope

We have everything we need to solve the equation, let's just label their values to avoid any confusion.

\(x_1=-6\\y_1=w\\x_2=-10\\y_2=4\\m=\frac{1}{8}\)

Now plug all of these values into the formula (remember: we have NEGATIVE values, and the formula contains SUBTRACTION)

\(\frac{y_2-y_1}{x_2-x_1}=m\)

\(\frac{4-w}{-10--6}=\frac{1}{8}\)

Simplify:

\(\frac{4-w}{-10+6}=\frac{1}{8}\)

Add the values together

\(\frac{4-w}{-4}=\frac{1}{8}\)

Now we can cross multiply; multiply -4 by 1 and (4-w) by 8

-4=32-8w

Subtract 32 from both sides

-36=-8w

Divide both sides by 8

w=\(\frac{9}{2}\)

The answer is C

Hope this helps!

Answer:

A number that is less than zero

Step-by-step explanation:

-13, -56

The function f can be defined as f(n) = 2n-1. For all integers n, the function f is a one-to-one and onto function from Z to O. This means that there is the same number of odd integers as there are integers.

Considering the set of integers Z={…,−3,−2,−1,0,1,2,3,…} and the set of odd integers O={…−3,−1,1,3,…}. It is erroneous to think that there are half as many odd integers as there are integers. However, this thinking is misguided.

The function f(n) = 2n - 1 maps every integer n to an odd integer 2n - 1.

This function is one-to-one and onto because it has an inverse function, f-1(m) = (m+1)/2. Since each integer maps to a unique odd integer and vice versa, there are the same number of integers as there are odd integers.

As every integer n maps to a unique odd integer 2n - 1, there are the same number of integers as there are odd integers.

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Answer:

I think the answer is c. Hope this helps. Please tell me if I am right or wrong.

Step-by-step explanation:

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

It is an rational

Step-by-step explanation:

Answer:

c. 17

Step-by-step explanation:

168/8=21

21-4=17

hope it helps

Answer:

C) 17

Step-by-step explanation:

\(\dfrac{a}{8}-b=\dfrac{168}{8}-4\\\\=21-4\\\\=17\)

The percent of games lost by the baseball team is 20%

From the question, we have the following parameters that can be used in our computation:

Games won = 24

Games lost = 6

The percent of games lost by the baseball team is then calculated as

Percentage lost = Games lost/(Games lost + Games won) * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage lost = 6/(6 + 24) * 100%

Evaluate

Percentage lost = 20%

Hence, the percentage lost is 20%

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The appropriate frame size for the given task set is 140.

The frame size is the length of a time interval in which all the tasks in the system are scheduled to be executed. The frame size must be a multiple of the period of each task in the system.

In this case, the periods of the tasks are 5, 7, 12, and 45. The smallest common multiple of these periods is 140. Therefore, the appropriate frame size for the given task set is 140.

Here is a more detailed explanation of the calculation of the frame size:

The first step is to find the least common multiple of the periods of the tasks. The least common multiple of 5, 7, 12, and 45 is 140.

The second step is to check if the least common multiple is also a multiple of the execution time of each task. The execution time of each task is equal to its period in this case. Therefore, the least common multiple is also a multiple of the execution time of each task.

Therefore, the appropriate frame size for the given task set is 140.

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Answer:D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:1

Step-by-step explanation: edementum  verified

Answer:

600

Step-by-step explanation:

Volume of cuboid = l x w x h

length = 12

width = 10

height = 5

12 x 10 x 5 = 600 yd^3

answered by g a u t h m a t h

Answer:

2.  43 degrees

3.  35 degrees

Step-by-step explanation:

Srr the attached worksheet.