what is the probablility of flipping a coin tails all three times and all three time you get tails?

Answers

Answer 1

Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.


Related Questions

A tractor trailer averages 6 miles per gallon fuel consumption. If the truck can hold 150 gallons of fuel, how many miles could it go before needing to refuel?

Answers

Answer:

The answer to your question is 900 miles

Step-by-step explanation:

Data

Consumption = 6 mi/gallon

total fuel = 150 gallons

number of miles = ?

Process

1.- To solve this problem use proportions and cross multiplication

                         6 miles ------------------ 1 gallon

                          x          ------------------  150 gallons

                                   x = (150 x 6) / 1

-Simplification

                                   x = 900 / 1

-Result

                                   x = 900 miles

900 miles it can go before it needs to fuel

You are looking out your window in a skyscraper, and again your window is at a height of 450 feet above the ground. This time, however, you know that the tomato was dropped (so v_0 = 0), but you did not see it dropped so you do not know when it was dropped. You measure that it takes exactly 2 seconds from the time the tomato passes your window until it hits the ground. From what height did it fall? Give your answer as a decimal approximation with units.

Answers

Answer:

1027.2 m

Step-by-step explanation:

Find the length of the darkened arc. Leave your answer in terms of pi.​

Answers

Answer:

[tex] \frac{15 }{4} \pi \:[/tex]

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

[tex]length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:[/tex]

Final answer:

The length of the darkened arc can be found using the formula s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature.

Explanation:

The length of the darkened arc can be found by using the formula for arc length: s = Δθr, where s is the length of the arc, Δθ is the angle of rotation, and r is the radius of curvature. In this case, the angle of rotation is 2π radians (since it is a complete revolution) and the radius is given. So, substituting these values into the formula, we have s = 2πr.

Fill in the blanks to correctly complete the sentence below.
Suppose a simple random sample of size n is drawn from a large population with mean muμ and standard deviation sigma σ. The sampling distribution of [tex]\bar x[/tex] has mean [tex]\mu_{\bar x}[/tex] =​______ and standard deviation [tex]\sigma_{\bar x}[/tex] =​______.

Answers

Answer:

Mean of the sampling distribution, [tex]\mu_{\bar{x}}=\mu[/tex]

Standard deviation of the sampling distribution [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

Given a simple random sample of size n which is drawn from a large population

If the mean of the simple random sample of size n [tex]=\mu[/tex]                                   The sampling distribution of [tex]\bar{x}[/tex] has the same mean [tex]\mu_{\bar{x}}=\mu[/tex]If the standard deviation of the simple random sample of size n is [tex]\sigma[/tex]               The sampling distribution of  will have a standard deviation of [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

Answers

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

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What is reasonable estimate for the problem

Answers

Answer:

-2

Step-by-step explanation:

this is i ready lol but basically the actual answer is -1.5 but if you round that you get -2

Answer:

-2

Step-by-step explanation:

3 3/4 times -2/5 = -1.5, which is closer to -2.

A town covers a 50.5 square mile area. If they population density of the town is 48.2 people per square mile, what is the population of the town, to the nearest hundred people.

Answers

Answer:

The population of town is approximately 2400 people.

Step-by-step explanation:

We are given the following in the question:

Area of town = 50.5 square miles

Population density of town = 48.2 people per square mile

Population of town =

[tex]P= \text{Area}\times \text{Population density}\\P=50.5\times 48.2\\P=2434.1[/tex]

Now, we have to round off this population to nearest hundred.

After rounding off,

[tex]P=2400\text{ people}[/tex]

Thus, the population of town is approximately 2400 people.

In 24 games, Jaime has 48 scoring attempts. Which unit rate describes Jaime’s scoring attempts?
a. 1/2 a scoring attempt per game
b. 2 scoring attempts per game
c. 24 scoring attempts per game
d. 72 scoring attempts per game

Answers

Answer:

2 Scoring Attempts

Step-by-step explanation:

There are 48 attempts divided by 24 game which equals 2.

Answer:

it is b

Step-by-step explanation:

Use these functions to evaluate the following problems: f(x) = x, g(x) = x - 3, h(x) = x^2 - 9, k(x) = 2x

(hk)(x)
(k/f)(x)
(h/g)(x)

Answers

Answer:

(hk)(x) = 2x³-18x

(k/f)(x) = 2

(h/g)(x) = x+3

Step-by-step explanation:

(hk)(x)

(x² - 9)(2x)

2x³ - 18x

(k/f)(x)

2x/x

2

(h/g)(x)

(x² - 9)/(x - 3)

[x² - 3²]/(x - 3)

(x + 3)(x - 3)/(x - 3)

x + 3

Hello everyone! I have some sample work I'm working on and having trouble with, please help!
And please show your work ^^
|
|
|
v

Answers

Answer:

D: 286 [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * 5.5 * 13 = 35.75 (area of one triangle)

35.75 * 8 = 286 (area of entire octagon)

A computer is generating passwords. The computer generates six characters at random, and each is equally likely to be any of the letters or digits. Replications are allowed. What is the probability that the password will contain all letters?

Answers

Answer:

0.1419 ( (if upper and lower cases are interchangeable)

0.348 ( if upper and lower cases are distinct letters)

Step-by-step explanation:

Each digit has 36 possible choices as 26+10

computer generates six characters

there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)

For number of letters-only arrangements = [tex]26^{6}[/tex] = 308915776

For number of alphanumeric arrangements = [tex]36^{6}[/tex]= 2176782336

In order to find the probability of letters-only arrangements : [tex]\frac{308915776}{2176782336}[/tex]

=>0.1419

Now, in different scenario if upper and lower cases are not interchangeable.

We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices

Therefore, probability of letters-only arrangements will be [tex]\frac{52^{6} }{62^{6} }[/tex]

=>0.348

Answer:

The probability of all letters arrangement if the upper cases and the lower cases of the English alphabet are interchangeable = 14.2%

The probability of all letters arrangement if the upper cases and the lower cases are not interchangeable = 34.8%

Step-by-step explanation:

please kindly check the attached files for explanation.

A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 27 to 38 on the number line. A line in the box is at 32. The whiskers end at 20 and 42. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot?

Median = 30; Q1 = 27

Median = 32; Q1 = 27

Median = 30; Q1 = 20

Median = 32; Q1 = 20

Answers

Answer:

b) Median 32; Q1 =27

Step-by-step explanation:

The description to the left directs us how to draw the box and whiskers. Using the markings. 20, 25, 30, 35, 40,45 check on the left side of the graph.The box extends from 27 to 38 on the number line. So, that means Q1=27 and Q3=38The whiskers end at 20 and 42. The minimum and the Maximum value of the Distribution, the "whisker".A line in the box is at 32. The horizontal line the slices the box, in other words the Median.

So here it is, our Box and Whiskers Plot.

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28+45)^2=73^2.Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.

Answers

Answer:  She is incorrect because she should have squared each leg length and then found the sum.

The Pythagorean Theorem is a² + b² = c²  not (a+b)²=c² as written.

Answer:

Answer is c)))

What is another name for Angle 1? Line segments J L and L M combine to form an angle. Line segment L K comes out of the angle to form 2 angles. Angle J L K is 1 and angle K L M is 2. Angle J L K Angle L K J Angle K L M Angle L K M

Answers

Answer: The answer is the first one, angle JLK

Step-by-step explanation:

The another name for Angle 1 is Angle JLK, the correct option is 1.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Given;

Line segments J L and L M combine to form an angle.

Line segment L K comes out of the angle to form 2 angles.

Now,

First the angle was JLM

Line segment LK cuts the angle JLM in 2

So, after  Line segment L K comes out of the angle to form 2 angles

Angle= JLK

Therefore, by new angle formed will be called JLK.

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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.



(a) What is the value of the difference pˆD−pˆE? Show your work.

Answers

Answer:

[tex]p^D-p^E=0.192[/tex]  

Step-by-step explanation:

We are given the following in the question:

Population D:

30% of the turtles have a shell length greater than 2 feet.

Sample size,

[tex]n_D = 40[/tex]

Number of turtles that had shell length greater than 2 feet,

[tex]x_D = 15[/tex]

Sample proportion:

[tex]p^D=\dfrac{x_D}{n_D} =\dfrac{15}{40} = 0.375[/tex]

Population E:

20% of the turtles have a shell length greater than 2 feet.

Sample size,

[tex]n_E = 60[/tex]

Number of turtles that had shell length greater than 2 feet,

[tex]x_E = 11[/tex]

Sample proportion:

[tex]p^E=\dfrac{x_E}{n_E} =\dfrac{11}{60} = 0.183[/tex]

We have to find the difference between the sample proportion.

Difference in sample proportion =

[tex]=p^D-p^E\\=0.375-0.183\\=0.192[/tex]

steve herr is an architect in minneapolis, minnesota. his latest project is designing a park. on the blueprint, the park is determined by a plane which contains the points at (1,0,3).(2,5,0), and (3,1,4). one of the features of the park is a monument that must be perpendicular to the ground. find the nonzero vector, representing the monument, perpendicular to the plane defined by the given points.

Answers

Answer:

a. (8,-7,-9)

Step-by-step explanation:

just took the quiz and this is the answer

Answer:

The person over there is correct. The answer is A.

Step-by-step explanation:

I take the quiz and it is correct. Edge 2021.

6. A farmer needs to enclose a section of land in the shape of a parallelogram by using
one side of a barn for one side. The barn and the side adjacent to the barn form a 65°
angle. What is the measure of the angle opposite from this angle? (Circle the correct
answer.)
A. 35°
B. 65°
c. 115°
D. 25°

Answers

The answer would be C

Answer:

C. 115 degrees

Step-by-step explanation:

Knowing one side of a circle is 180 degrees, we should subtract 180-65.

- 180-65=115 degrees

7. Give all transformations that occur to the function y = x ^ 3 that produce the function y = 1/3 * x ^ 3 + 5 Give both the transformations and the order in which they occur.

Answers

Answer:

See explanantion

Step-by-step explanation:

Solution:-

- We will start of with the given function y = x^3, and plot a small sketch.

First transformation:-

- We multiply the y = x^3, with a constant a = 1/3. Where,

                                   y1 = a*y

Where,                 a : real constant

- The cases for a:

         a > 1 ----> makes the function steeper

         0 < a < 1  ----> Flattens the graph/less steep

         a < - 1  ------ > Reflection about x-axis and makes the function steeper.

       0 < a < -1  ----> Flattens the graph/less steep and reflection about x-axis

- For a = 1/3, the graph flattens or in other words with increasing value of "x" the value of "y" increases at a decreased rate.

Second Transformation:-

- We add the b = 5 to the resulting graph y = 1/3*x^3.

                                y2 = 1/3*x^3 + b

Where,                     b : Real constant

- The cases for b:

           b > 0  --------> Vertical upward shift of the graph by b units

           b < 0 ---------> Vertical downward shift of the graph by b units

- For b = 5 > 0, The graph 5 units up or in other words the y-intercept shifts from y = 0 to y = 5.

- The required function y = 1/3*x^3 + 5 undergoes two transformation. a = 1/3 flatten out the starting function y = x^3 and b = 5 shifts the resulting graph vertically upwards.

Final answer:

To produce the function y = (1/3)*x³ + 5 from y = x³, two transformations occur: a vertical scaling by 1/3 followed by a vertical translation up 5 units.

Explanation:

The function y = x³ has undergone two transformations to become y = (1/3) * x³ + 5. First, a vertical scaling by a factor of 1/3 has occurred, shrinking the graph vertically by a third of its original size. The second transformation is a vertical translation of 5 units upwards, which takes every point on the graph and moves it 5 units higher on the y-axis. These transformations would occur in the following order:

Vertical scaling by a factor of 1/3: y = x³ becomes y = (1/3)*x³.Vertical translation up by 5 units: y = (1/3)*x³ becomes y = (1/3)*x³ + 5.

In ΔVWX, the measure of ∠X=90°, VX = 35, XW = 12, and WV = 37. What is the value of the cosine of ∠W to the nearest hundredth?

Answers

Answer:

Cosine W = 0.32

Step-by-step explanation:

Adj/Hypo = 12/37 = 0.3243 = 0.32

Final answer:

The cosine of ∠W in triangle ΔVWX is found by dividing the length of the side adjacent to ∠W (XW) by the length of the hypotenuse (WV), resulting in cos(∠W) ≈ 0.32 to the nearest hundredth.

Explanation:

In triangle ΔVWX, where ∠X=90°, VX = 35, XW = 12, and WV = 37, we are asked to find the value of the cosine of ∠W to the nearest hundredth. Since ∠X is a right angle, this triangle is a right triangle, and we can use trigonometric ratios to find the cosine of ∠W. The cosine of an angle in a right triangle is equal to the adjacent side over the hypotenuse.

To find the cosine of ∠W, we look at the sides adjacent to ∠W, which are XW and WV. The length of XW is 12, and WV, being the hypotenuse, is 37. Therefore, to find cos(∠W), we calculate 12/37. Doing this calculation, we get cos(∠W) ≈ 0.32 to the nearest hundredth.

The cosine is a trigonometric function that relates the lengths of sides in a right triangle to the angles, and it is specifically the ratio of the length of the adjacent side to the length of the hypotenuse.

Jalen is computing the slope of a line on the graph below. Which statement describes Jalens error?

Jalen computed the raitio in e to change in y
Jalen use the ordered pairs in the wrong order
Jalen made a computational error
Jalen used an ordered pair that is not on the line​

Answers

Answer:

A

Step-by-step explanation:

Have a nice day everyone

The slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.

What is the point slope form of a line ?

Point slope form is used to represent a straight line using its slope and a point on the line.

It is given that Jalen is computing the slope of a line.

We know that the equation of a line in point slope form is given by :

(y - y1) = m (x - x1).

As per the computation done by Jalen ordered pairs are (-4, 0) and (2, 3).

For the line : (x , y) = (4 , 0)  and (x1 , y1) = (2 , 3).

So ,

Slope will be equal to :

m = (y - y1) / (x - x1)

m = (0 - 3) / (4 - 2)

m = -3 / 2

So , the slope calculated by Jalen is not correct as he has used the ordered pairs in the wrong order.

Therefore , the slope value calculated by Jalen is not correct. Jalen has used the ordered pairs in the wrong order.

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Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a month penny?

Answers

The probability that Mildred will select a dime first and then a month penny is 1/24.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total possibilities = 16

So, Probability of a dime of the first draw = 10/16 = 5/8

and, Probability of a penny on the second draw = 1/15

Thus, Probability of both = 5/8 x 1/15

                                         = 1/24

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The probability that Mildred will select a dime first and then a penny is 1/24.

To calculate the probability that Mildred will select a dime first and then a penny from her bag of coins, we need to consider the following steps:

1. Probability of selecting a dime first:
- Mildred has a total of 10 dimes, 5 nickels, and 1 penny in the bag.
- The probability of selecting a dime on the first draw is the number of dimes divided by the total number of coins, which is 10 dimes out of 16 total coins.

2. Probability of selecting a penny next:
- After selecting a dime on the first draw, Mildred will have 9 dimes, 5 nickels, and 1 penny remaining in the bag.
- The probability of selecting a penny on the second draw is the number of pennies divided by the total number of remaining coins, which is 1 penny out of 15 remaining coins.

3. To find the overall probability, we multiply the individual probabilities:
- Probability = (Number of dimes / Total coins) * (Number of pennies / Remaining coins)
- Substituting the numbers, we get (10/16) * (1/15) = 1/24.

Therefore, the probability that Mildred will select a dime first and then a penny is 1/24.

CONGRATS! Your parents bought you a car for graduation. They paid $9000 for it. The bad news is that it depreciates at 12% per year. Write a function to represent the value of the car versus time

Answers

Answer:

If the price before depretiation be P and price after depreciation be Pt..

The eqn would be,

Pt=P(1-12/100)^t

Hope it helps!!

Final answer:

The function to represent the value of a car over time, with an initial value of $9000 and depreciating at 12% per year, is V = 9000(1 - 0.12)^t. This exponential decay function calculates the car's value at any time t years after purchase.

Explanation:

The question asks for a function to represent the value of a car over time, given that the car was purchased for $9000 and depreciates at a rate of 12% per year. To model this, we can use an exponential decay function. The general form of an exponential decay function is V = P(1 - r)^t, where V represents the value of the car at time t, P is the initial purchase price, r is the rate of depreciation, and t is the time in years.

Substituting the given values into the formula, we get V = 9000(1 - 0.12)^t. This function can be used to calculate the value of the car at any given time t years after the purchase. The rate of depreciation (12%) and the initial purchase price ($9000) are the critical factors that determine the car's value over time.

Which table of ordered pairs represents a proportinal relationship

Answers

Answer:

where are the tables lol

Jake has decided to give a bonus to the employee who has worked the greatest total number of hours over the past six months. Four candidates are currently up for consideration. The following graph shows how many hours each one has worked over the past six months.
A graph titled Hours Worked has name on the x-axis and Hours on the y-axis. For October: Vince, 130; Claire, 129; Joey, 134; Katharine, 122. For November: Vince, 135; Claire, 130; Joey, 121; Katherine, 131. For December: Vince, 131; Claire, 125; Joey, 119; Katherine, 134. For January: Vince, 133; Claire, 126; Joey, 127; Katharine, 133. For February: Vince, 134; Claire, 121; Joey, 132; Katharine, 115. For March: Vince, 118; Claire, 133; Joey, 134; Katharine, 140.
To which employee will Jake give the bonus?
a.
Vince
b.
Claire
c.
Joey
d.
Katharine



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

The answer is A) Vince.

Step-by-step explanation:

Vince had 781 total hours. Claire had 764 total hours. Joey had 767 total hours. Katharine had 775 total hours. Therefore the person with the most hours, Vince, gets the bonus.

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To determine who will receive the bonus, we need to calculate the total number of hours worked by each employee over the past six months.

For Vince:

130 + 135 + 131 + 133 + 134 + 118 = 781

For Claire:

129 + 130 + 125 + 126 + 121 + 133 = 764

For Joey:

134 + 121 + 119 + 127 + 132 + 134 = 767

For Katharine:

122 + 131 + 134 + 133 + 115 + 140 = 775

Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

Hence, Jake will give the bonus to Vince, as she has worked the greatest total number of hours over the past six months.

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x + 8y = 2; (10, -1)​

Answers

The answer to this question I think is 2
The answer is 2 hope this helped

Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?

Answers

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

[tex]d=-0.25t^2+1.7t+3.5[/tex]

[tex]0\leq t\leq 7[/tex]

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

[tex]6=-0.25t^2+1.7t+3.5\\\Rightarrow +0.25t^2-1.7t+2.5 = 0\\\text{Using quadratic formula}\\\\\Rightarrow t = \dfrac{1.7\pm \sqrt{(-1.7)^2-4(0.25)(2.5)}}{2(0.25)}\\\\t\approx 4.65, 2.15[/tex]

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.

Answers

Answer:

if you can write a comment so that makes sense, i might be able to help you

Step-by-step explanation:

sorry

Answer:

The answer is 64pi

Step-by-step explanation:

Gabriella has the following winter accessories:

1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white

Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.

Answers

Answer:

1/20

Step-by-step explanation:

There are 20 possible probabilites/combinatins of what to wear, and wearing a coat, with a purple hat, black boots, and purple mittens is only 1 of those 20 probabilities so the answer is 1/20

If a fair die is rolled 4 times, what is the probability, to the
nearest thousandth, of getting exactly o threes?

Answers

Final answer:

The probability of not getting a '3' when a fair die is rolled four times, rounded to the nearest thousandth, is approximately 0.482.

Explanation:

In a fair die, the probability of getting any one number, such as a 3, is 1/6 because a die has 6 possible outcomes (1 through 6). So, the probability of not getting a 3 is 5/6. If the die is rolled four times, the probability of not getting a 3 on each roll is (5/6)^4. To find this, multiply 5/6 by itself 4 times. The result is approximately 0.482, or rounded to the nearest thousandth, 0.482. So, "the probability of not getting a 3 on four rolls of a die to the nearest thousandth is 0.482."

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If you punch a wall with a force of 30 N, what force will you feel in your fist??

Answers

Answer:

30N

Step-by-step explanation:

Normal reaction

The force feel by fist is 30N.

What is Force?

A Force is a push or pull upon an object resulting from the object's interaction with another object.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.

Since you punch a wall with a force of 30N, the fist will feel the same force in the opposite direction as per the Newton's Third Law of Motion.

Hence The force feel by fist is 30N.

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