Caris has a carton of 12 eggs, two of which have brown shells while the rest have white shells. Caris randomly chooses a brown egg from the carton. Which of the following statements is true? If she rejects this egg, returns it to the carton, and randomly picks again, these will be dependent events. If she uses this egg in a recipe and picks another one from the carton, these will be dependent events. Whether or not these are dependent or independent events depends on what color egg Caris chooses next. If she uses this egg in a recipe and picks another one from the carton, these will be independent events.

Step-by-step explanation:

Plot the four zeroes as points on the x-axis (y = 0) then draw a positive quartic curve.

Answer:

78

Step-by-step explanation:

42+36=78

Answer:

78

Step-by-step explanation:

42 + 36 = 78

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The human understanding of the cosmos beyond Earth has grown after inventing specialized equipment such as x-ray telescopes.

X-ray telescope, a device made to find and focus X-rays from sources beyond the atmosphere of Earth.

Some key features regarding the x-ray telescope are-

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Answer:

Butane Gas

Step-by-step explanation:

When you add butane gas to soapy water, it reacts with a lighter/fire and will burst into flames. An example video should show up if you search for burning hand fire experiment online.

Answer: 3.75

Step-by-step explanation:

Ten dimes make a dollar.One dime can be written 10¢ or $0.10.

he has $2.75+1.00=375

Answer:

10.2 +16.6 = 26.8 x 4.5 = 120.6 divided by 2 = 60.3

Answer:

60.3 cm

Step-by-step explanation:

Be sure to mark me Brainliest!!! I am 10000% this is correct!

Answer:

26.17%

Step-by-step explanation:

P(Grey) = 1/4

P(Grey at least 2 times in 4) = 1 - P(no Grey in 4) - P(1 Grey in 4)

P(no Grey in 4) = 4C0 * 3/4 * 3/4 * 3/4 * 3/4 = 81/256

P(1 Grey in 4) = 4C1 * 1/4 * 3/4 * 3/4 * 3/4 = 27/64

P(Grey at least 2 times in 4) = 1 -  81/256 -  27/64 = (256-81-108)/256=67/256=26.17%

Answer:   y intercept = 4

The y intercept always occurs when x = 0. This is the location where the graph crosses the y axis. From the list of points, we see that (0,4) is the location of the y intercept. We can say the y intercept is 4.

Step-by-step explanation:

1,239 + 8,568= 9,807 ≈ 10000

Answer:

2/3

Step-by-step explanation:

There are 4 numbers and 6 possible values the spinner can land on

P(even) = 4/6 = 2/3

The combination formula helps to determine the number of non-negative solutions of equation

x₁ + x₂ + x₃ + x₄ + x₅ = 21 in different cases.

a) Total number of solutions for equation in case of x₁ ≥ 1, is equals to the 10626.

b) Total number of solutions for equation in case of xᵢ ≥ 2 for i = 1, 2, 3, 4, 5, is equals to the 1365.

c) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 10 is equals to the 11649.

d) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 3, 1 ≤ x₂ < 4, and x₃ ≥ 15, is equals to the 76.

We have an equation x₁ + x₂ + x₃ + x₄ + x₅ = 21, where xᵢ , i = 1, 2, 3, 4, 5 and we have to determine the number of solution of equation.

a) Solution of equation when x₁ ≥ 1

Let there are 5 boxes namely, x₁,x₂,x₃,x₄,x₅ in which 21 balls are placed distinguished. First ball is placed in box x₁. So, remained 20 balls are placed into 5 boxes with repititions. So, number of ways are C(n+r−1, r-1) = (n + r − 1)!/(r-1)!n! , where n = 20 , r = 5

C(n + r −1, r- 1) = C(20 + 5− 1 ,4)

= C(24,4) = 10626

b) Solution of equation for xᵢ ≥ 2 for i = 1,2,3,4,5.

Now, xᵢ ≥ 2 for i = 1,2,3,4,5, means first drop two balls into every box. Then, only 11 balls, remaining

n =11, r = 5

C(n+r−1, r-1) = (n+r−1)!/(r-1)!n!

= C(11 + 5−1, 4) = C(15, 4)

= 1365

c) Solution of equation for 0 ≤ x1 ≤ 10

when 21 balls dropped into five boxes x₁, x₂, x₃, x₄,x₅ then C(n+r−1, r-1) = (n+r−1)!/(r-1)!n! ; n= 21, r = 5

C(n + r −1, r - 1) = C(21+ 5− 1 ,4)

C(25, 4) = 12650

xi ≥ 11 , n=11, r = 5 then

C(n + r−1, r- 1 ) = C(11+4−1,4)

C(14,4) = 1001

C(25,4) − C(14,4) = 12650 − 1001 = 11649

d) Solution of equation for 0 ≤ x₁≤ 3, 1 ≤ x₂ < 4, and x₃≥ 15. For this condition solution is = { x1≥ 0, x2≥ 0, x3 ≥ 15} - { x₁≥3, x₃≥ 15} - { x₂≥4, x₃≥ 15} - { x₁=0, x₃ ≥ 15}

Now, first 15 balls are dropped into x3 and remaining 6 are droped into remaining boxes, { x₁ ≥ 0, x₂≥ 0, x₃≥ 15}, Then, n = 6, r = 5

C(n + r −1, r - 1) = C(6+ 5− 1 ,4)

C(10, 4) = 210

Also, { x₁ ≥3, x₃ ≥ 15}, represents 3 and 15 balls are dropped into x₁ and x₃ respectively. and remaining 3 balls will dropped into 5 boxes with repititions, n = 3, r = 5

C(n + r −1, r - 1) = C(3+ 5− 1 ,4)

C(7, 4) = 35 ways

{ x₂≥4, x₃≥ 15} , represents 4 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 2 balls will dropped into 5 boxes with repititions, n= 2, r = 5

C(n + r −1, r - 1) = C(5+ 4− 1 ,4)

C(7, 3) = 15 ways

{ x₂ = 0, x₃ ≥ 15}, represents 0 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 6 balls will dropped into 4 boxes with repititions, n= 6, r= 4

C(n + r −1, r - 1) = C(6+ 4− 1 ,3)

C(9, 3) = 84 ways

So, the number of solutions for this case = 210 - 35 - 15 - 84 = 76.

Hence there are 76 non-negative integer solutions.

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Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is \(w\), then the length is \(w+3\).

\(w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4\)

The given statement, "The recitative portion of Dido's Lament is accompanied by only a small portion of the orchestra (a.k.a. basso continuo)," is true (T).

This is because the recitative portion of Dido's Lament, also known as "When I am laid in earth" from the opera Dido and Aeneas by Henry Purcell, is typically accompanied by only a small portion of the orchestra, specifically the basso continuo.

The basso continuo was a standard accompaniment in Baroque music, consisting of a bass line played by a keyboard instrument (such as harpsichord or organ) and a low melodic instrument (such as cello or bassoon).

In Dido's Lament, the basso continuo provides a sparse, yet poignant accompaniment to the sorrowful and introspective lyrics of the aria, allowing the singer's voice to take center stage and fully express the character's emotions.

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Answer:

3.8

Step-by-step explanation:

----------

Answer:

solution,

\(0.18(5x - 4) = 0.5x + 0.8 \\ or \: 0.9x - 0.72 = 0.5x + 0.8 \\ or \: 0 .9x - 0.5x = 0.8 + 0.72 \\ or \: 0.4x = 1.52 \\ or \: x = \frac{1.52}{0.4} \\ x = 3.8\)

hope this helps..

Good luck on your assignment..

Penelope must purchase 30 ride tickets in order to spend $35 in all. The equation that represents this scenario is:0.5x + 20 = 35

Let x be the number of ride tickets that Penelope purchases. Each ride ticket costs $0.50, so the cost of the tickets is 0.5x dollars. In addition, she pays $20 to get into the carnival. Thus, the total cost of her trip to the carnival is:

Total Cost = Cost of Ride Tickets + Cost of Admission
Total Cost = 0.5x + 20

We know that Penelope spends $35 in all, so we can set the total cost equal to $35 and solve for x:

0.5x + 20 = 35

Subtracting 20 from both sides, we get:

0.5x = 15

Dividing both sides by 0.5, we get:

x = 30

Therefore, Penelope must purchase 30 ride tickets in order to spend $35 in all. The equation that represents this scenario is:

0.5x + 20 = 35

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The y coordinate of the point is -3/2

The points are given as:

(-21, 1/2) and (-7,y)

The slope is given as:

m = -1/7

The slope is calculated as:

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

This gives

\(-\frac 17 = \frac{y -1/2}{-7 + 21}\)

Evaluate the difference

\(-\frac 17 = \frac{y -1/2}{14}\)

Multiply through by 14

\(-2 = y -1/2\)

Add 1/2 to both sides

y = -3/2

Hence, the y coordinate of the point is -3/2

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Given:

Suzy ran 1/2 of a lap in 2/3 minutes.

The unit rate in minutes per lap is,

Answer: 4/3 minute per lap.

The dimensions of the painting are 24 feet by 32 feet. Given the perimeter of the painting is 112 feet. Let the width be x feet. The length is 8 feet more than its width, therefore, the length = x + 8 feet. Perimeter of a rectangle = 2 (l + w).

Substitute x + 8 for l and x for w in the above equation : 2 (l + w)

= 2 (x + 8 + x)

= 4x + 16 feet

But given the perimeter of the painting is 112 feet4x + 16

= 112 feet

Subtract 16 from both sides of the above equation

4x = 112 - 16

= 96

Divide both sides by 4x = 24

The width of the painting is 24 feet

The length of the painting = x + 8

= 24 + 8

= 32 feet

Therefore, the dimensions of the painting are 24 feet by 32 feet.

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The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.

When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" .  The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.

calculation

Let's take a look at the values in the supplied statement to discover the missing term.

the population's standard deviation is where

m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.

As a result, the recommended minimum sample size for a particular degree of confidence is

⇒ (Z×σ)²/m²

The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.

Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."

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Answer: D

Step-by-step explanation:

The first data set, D1, has values ranging from 2.1 to 5.5, while the second data set, D2, has values ranging from 3.5 to 9.4. Since there is no overlap between the ranges of values in D1 and D2, these data sets show no overlap. In contrast, data sets A, B, and C all have overlapping ranges of values.

Answer:

-------------------------------------

Using triangle inequality theorem, we get two options:

1) x is the longest side, then:

2) x is the shortest side, then:

Combine the two options to get, x is between 2 and 22, or:

This is the first choice.

Answer:

\(\begin{array}{|c|c|c|c|c|c|} \cline{1-6} & \text{Music} & \text{Gov} & \text{Theater} & \text{Sports} & \text{Total}\\\cline{1-6}\text{7th grade} & 42 & 12 & 20 & 58 & 132\\\cline{1-6}\text{8th grade} & 38 & 9 & 45 & 30 & 122\\\cline{1-6}\text{Total} & 80 & 21 & 65 & 88 & 254\\\cline{1-6}\end{array}\)

"Gov" refers to "Student  Government".

==================================================

Explanation:

The rows are labeled "7th grade", "8th grade" and "Total".

The columns are labeled "Music", "Student  Government", "Theater", "Sports", and "Total".

I'll abbreviate "Student  Government" to "Gov" so that the table doesn't get too wide.

There are 254 students total. This value goes in the bottom right corner of the table. This is the grand total.

----------

We have 80 students in music. This value goes at the bottom of the "music" column since we're in a "total" row. Basically it's the total of all the music students regardless of grade.

Of those 80 students in music, 42 are in seventh grade. Write 42 in the first row of this column and 38 just underneath it (because 80-42 = 38). The two values 42 and 38 should add to the 80 mentioned.

----------

There are 21 students in student government. This value goes at the bottom of the "student government" column.

9 of these students are in eighth grade, so the remaining 21-9 = 12 must be in seventh grade.

----------

There are 65 students in theater. This value goes at the bottom of the "theater" column.

There are 20 such students in 7th grade and 45 in 8th grade (because 65-20 = 45).

----------

There are 88 students in sports.

30 are in 8th grade, so 88-30 = 58 must be in 7th.

----------

At this point, you should have these values along the bottom row:

80, 21, 65, 88, 254

The first four values (80, 21, 65, 88) should add to the grand total 254.

Along each row, add up the values to get the row total.

7th grade: 42 + 12 + 20 + 58 = 132

8th grade:  38 + 9 + 45 + 30 = 122

There are 132 seventh graders and 122 eighth graders.

Those subtotals add to 132+122 = 254 total students, which helps confirm we did things correctly.

Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches  

Answer:

Step-by-step explanation:

Let Colin - x, Dan - y, David - z.

We have:

Substitute and solve for z:

Now find x and y:

Answer:

£12

Step-by-step explanation:

Let the David's money be x

If David gets = x

Dan will get = 3x

Colin gets = 3x x 2

= 6x

So, the total money can be write as

\(x + 3x + 6x = 10x\)

So, now let's find the amount of money which David have

\(10x = 20 \\ \frac{10x}{10} = \frac{20}{10} \\ x = 2\)

So, David will get £2

And now let's find the amount of money which Colin will get

\(6x = 6 \times 2 \\ = 12\)

He will get £12

Hope this helps you.

Let me know if you have any other questions :-):-)

Yes, it is possible for three vectors of different magnitudes to add up to zero.

For three vectors to add up to zero, their magnitudes and directions must be carefully chosen. The vectors can have different magnitudes but must be arranged such that their sum cancels out.

To illustrate this, let's consider three vectors A, B, and C. Each vector has a different magnitude but when combined, their sum results in zero.

Let's say vector A has a magnitude of 3 units, vector B has a magnitude of 2 units, and vector C has a magnitude of 1 unit. To achieve a zero resultant vector, we can arrange these vectors in the following way:

Vector A is directed to the right with a magnitude of 3 units.

Vector B is directed to the left with a magnitude of 2 units.

Vector C is directed upwards with a magnitude of 1 unit.

By carefully choosing the directions and magnitudes, the sum of these vectors will be zero. Vector A cancels out the leftward component of vector B, and vector C cancels out the downward component of the resultant vector formed by A and B.

Therefore, it is possible for three vectors of different magnitudes to add up to zero if their directions and magnitudes are appropriately chosen to cancel each other out.

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