Thomas is going to flip an unfair coin 2 times. Each coin flip is independent, and the probability that the coin flips
heads is 20% each time.

Please tell me the possible outcomes, thank you.

The distance from the point (0, 0, 12) to the line x = 41, y = -21, z = 21 is 21 units.

The given question asks for the distance between a point and a line in each exercise. In this particular exercise (Exercise 33), the point is (0, 0, 12), and the line is represented by the equations x = 41, y = -21, z = 21.

To find the distance between a point and a line, we can use the formula derived from the concept of vector projection. The formula states that the distance between a point P and a line L is equal to the magnitude of the vector projection of the vector from a point on the line to the point P onto the direction vector of the line.

In this case, the direction vector of the line is (1, -1, 0). We can choose any point on the line to calculate the distance, so let's consider the point (41, -21, 21) on the line. The vector from this point to the given point P is (-41, 21, -9).

Next, we calculate the dot product of this vector and the direction vector of the line:

(-41, 21, -9) · (1, -1, 0) = (-41) + (-21) + (0) = -62.

The magnitude of the direction vector is √(1^2 + (-1)^2 + 0^2) = √2.

Finally, we can find the distance by dividing the absolute value of the dot product by the magnitude of the direction vector:

Distance = |(-62)| / √2 = 62 / √2 = 21√2 ≈ 29.7 units.

Therefore, the distance from the point (0, 0, 12) to the line x = 41, y = -21, z = 21 is approximately 29.7 units.

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Answer:

$672

Step-by-step explanation:

First find the area so:

5*4=20ft

2^2*3.14=12.56ft

20+12.56=32.56ft

Second find the price for the area:

32.56*12=$672

Hopefully it's correct!

Answer:

19/20

Step-by-step explanation:

A "simplified fraction" in this case is the ratio of two integers.

0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:

95/100 = 19/20

Answer:

Usually, the solution to an equation is a number or a few numbers. Sometimes, the solution to an equation is all real numbers. In an inequality, the solution is usually all numbers greater than a certain number or less than a certain number.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3 divided by 1/2 = 6

2 hambugers = 1 pound

Answer:

the price will be the same for either amusement park

Step-by-step explanation:

10+1(x)=?

5+2(x)=?

ex; x=5

10+1(5)=                                   5+2(5)=

10+5=                                      5+10=

15                                            15

Answer:

5 rides, cost of $15

Step-by-step explanation:

With the information given we have two expressions:

10 + 1x and 5 + 2x

Using these expressions we can create this equation:

10 + 1x = 5 + 2x

Knowing some information we can can simply analyze some information:

The closest number each of these equations could equal is 15,

1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15

15 = 15 this is a true statement, so we know this is answer

Hope this helps! Have a good day!

Answer:

Starting with Algebra going down is 73%, 70%, 72%

Geometry going down is 27%, 30%, 28%

Totals going down 100%, 100%, 100%

(LOL)

Hope that was helpful.Thank you!!!

Step-by-step explanation:

To find the rate at which the diameter of the circle is changing, we'll first need to determine the relationship between the area of the circular ripple and its radius.

The area of a circle is given by the formula A = πr². In this problem, the area is increasing at a constant rate of 5 m²/second (dA/dt = 5).

Now, we'll use implicit differentiation with respect to time (t) to find the rate of change of the radius:

dA/dt = d(πr²)/dt

5 = 2πr(dr/dt)

Since we're interested in the rate of change of the diameter (D) when the radius (r) is 4 m, and D = 2r, we'll differentiate D with respect to time:

dD/dt = 2(dr/dt)

Now, we can solve for (dr/dt) when r = 4:

5 = 2π(4)(dr/dt)

5/(8π) = dr/dt

Finally, we find dD/dt:

dD/dt = 2(5/(8π))

dD/dt = 5/(4π)

So, when the radius of the circular ripple in the pond is 4 m, the diameter is changing at a rate of 5/(4π) meters per second.

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Answer:

134

Step-by-step explanation:

164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.

Answer:

if your asking how much she has in all it would be 134

Step-by-step explanation:

Because

164

30-

____

134

The people who are interviewed constitute a convenience sample.

If the survey company is interviewing anyone who is available in the shopping mall without using any systematic method for selecting the participants, it would be considered a convenience sample.

In a convenience sample, the sample is selected based on ease of access to the participants, and it may not be representative of the entire population. This type of sampling can lead to bias in the sample, as the views of people who happen to be available in the mall at the time may not be representative of the views of the entire population.

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The researcher tested the null hypothesis that there is no difference in average sprinting times between athletes who stretched before an event and those who did not stretch.

To determine if stretching helps sprinters run faster, the researcher formulated a null hypothesis. The null hypothesis states that there is no significant difference in average sprinting times between athletes who stretched before an event and those who did not stretch.

To test this hypothesis, the researcher would conduct an experiment where they divide the sprinters into two groups: one group that stretches before the event and another group that does not stretch. The sprinters in both groups would then compete in the sprinting event, and their times would be recorded.

After collecting the data, the researcher would compare the average sprinting times of the two groups using statistical analysis. If the analysis shows that the difference in average times between the groups is not statistically significant, meaning that it could have occurred by chance, then the null hypothesis would be supported. This would suggest that stretching before a sprinting event does not have a significant impact on sprinting times.

However, if the analysis reveals a statistically significant difference in average times between the groups, it would reject the null hypothesis. This would provide evidence that stretching does affect sprinting performance, and the researcher could conclude that stretching helps sprinters run faster based on the observed data.

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Answer:

Step-by-step explanation:

53 seconds

To round to the nearest seconds, we round the next number after the decimal point

Answer:

The minimum is -4

Step-by-step explanation:

The minimum is the lowest point on the parabola

It is at (-3,-4)

The y value is the minimum of the function

The minimum is -4

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Answer:

6.

Step-by-step explanation:

Source: Desmos.

When the points are plotted, the shape is a polygon. The polygon has 6 sides.

Picture represents the polygon shape, and its sides

Answer:

7040

Step-by-step explanation:

first find how many are in 1 mile by doing 5280/3 to get 1760.

second multiply 1760x4 to get 7040

If 1 yard = 3 feet and 1 mile = 5,280 feet, then there are 7,040 yards in 4 miles.

To convert miles to yards, we can use the given conversion factors:

1 mile = 5,280 feet

1 yard = 3 feet

We need to find how many yards are there in 4 miles.

Convert 4 miles to feet using the conversion factor:

4 miles × 5,280 feet/mile

= 21,120 feet

Now, Convert the 21,120 feet to yards using the yard-to-feet conversion factor:

21,120 feet / 3 feet/yard

= 7,040 yards

Therefore, there are 7,040 yards in 4 miles.

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Answer:

Its true

Step-by-step explanation:

Just did it on edge

Step-by-step explanation:

80 x 50 = 4000

and 4000 x 70 = 2,80,000

Answer:

280000

Step-by-step explanation:

First you take the zeros off the end of each number.

80 = 8

50 = 5

70 = 7

Then you times the three numbers together.

8 × 5 = 40

40 × 7 = 280

Now you add back the three zeros, and you get the answer!

Answer:formele solide sun obiectele care sunt tari dexemple piatra telefonul cubul ele sunt solide

Step-by-step explanaton:

DEFINITION-;

three dimensional figure have Length breadth and height and which have a fixed shape and accupies shapes are called solids

the line segment which to focus in solid meet is called its when three or more faces of a solid meet at one point with point is known as vertex

TYPES

CUBOID

a solid bounded by six rectangular play spaces is called a cuboid

ELEMENT OF CUBOID

2 CUBE

a solid cube whose all three dimension Length breadth and height are equal called cube

element of cube

it has 6 faces 8 vertex and 12

3 PRISM

a Prism is a solid whose side faces are rectangle and in the identical polygon in parallel planes

4 PYRAMID

a pyramid is a solid whose base is a flat plane rectilinear figure which may be triangular square rectangular or polygonal the side face of a pyramid are Triangles having a common vertex

5 CONE

it is a solid with a circular base and all is other purpose meet it common point known as vertex

6 CYLINDER

it is a solid with two circular base also if the cross section of prism is circle then is known as cylinder

Answer:

5 hours

Step-by-step explanation:

Given that :

Juan:

Rate = 12mi/hr

$9.75/mi

Carlos :

Rate = 10mi/hr

$11.50/mi

To raise atleast $1000 altogether :

Let number of hours = h

Distance = rate * time

[(12*h) * 9.75] + [(10*h) * 11.50] ≥ 1000

[117h + 105h] ≥ 1000

222h ≥ 1000

h ≥ 1000/222

h ≥ 4.504

To earn atleast $1000 altogether, they must work for atleast 5 hours (nearest whole number).

Answer:

No its 2/3 > 5/8

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as:

2/3 = 0.667

5/8 = 0.625

Then, we compare the two decimal numbers to get the answer.

0.667 is greater than 0.625. So 2/3 > 5/8

Answer:

No, 2/3 is bigger than 5/8

Step-by-step explanation:

If you convert 2/3 into a deciamal it is 0.666

and if you convert 5/8 into a decimal it is 0.625

therefore 2/3 is the bigger fraction and the statement is not correct.

Hope this helps!!!!

Answer:

B?

COREEC IF WRONG

Answer:

y=-2/3x-3

Step-by-step explanation:

let the slope of the given line =m1

let the slope of the perpendicular line,=m2

m2=-1/m1

m2=-1/3/2

m2=-2/3

Now the equation of the perpendicular line

y--5=-2/3(x-3)

y+5=-2/3(x-3)

3y+15=-2x+6

3y=-2x+6-15

3y=-2x-9

y=-2/3x-3

Step 1:

Percent is part of 100.

Step 2

First part:

60 units split into 80% and 20%

Second part

12 units = 40 %

Third part

30 % = 18 units

Fourth part

75 % = 42 units

Final answer

14 + 42 = 56 units

The length of the bottom diagram = 56 units

To solve this problem, let's define the variables:
Let x be the number of hours Tyree worked washing cars last week.
Let y be the number of hours Tyree worked walking dogs last week.

Now let's set up the system of equations based on the given information:

Equation 1: Tyree earned $10 per hour washing cars, so the total amount earned from washing cars is 10x.
Equation 2: Tyree earned $6 per hour walking dogs, and he worked twice as many hours walking dogs as washing cars. So the total amount earned from walking dogs is 6y.

Since the total amount earned last week is $88, we can set up the third equation:
Equation 3: 10x + 6y = 88

Therefore, the system of equations is:
10x + 6y = 88 (Equation 3)
x = ? (Unknown, to be determined)
y = ? (Unknown, to be determined)

To find the values of x and y, we can solve this system of equations.

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Answer:

The car is worth about 5212.66$ 10 years after her purchase.

Step-by-step explanation:

12000(1-0.08)^10=5212.661451

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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