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3 years ago

a fair die is tossed four times. Find the probability of obtaining each of the following. 5 on all four tosses

Mathematics

1 answer:

Anastaziya [24]3 years ago

5 0

Answer:

$\dfrac{1}{1296}$

Step-by-step explanation:

When a fair die is tossed once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.

The probability of rolling 5 is $\dfrac{1}{6}.$

When a fair die is tossed four times, the probability of rolling 5 all four times is

$\dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}=\dfrac{1}{6^4}= \dfrac{1}{1296}$

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3x – y = -1 x – 2y = -12

Leviafan [203]

The solution to the system of equation is (2, 7)

<h3>System of equation</h3>

Given the system of equation expressed as:

3x – y = -1 * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

Learn more on system of equation here: brainly.com/question/25976025

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1 year ago

A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(

blagie [28]

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

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2 years ago

MATH

ale4655 [162]

Answer:

the answer is 3

Step-by-step explanation:

in the number 66 there are "2" circles in them and so the answer we get 2

in the number 99 there are "2" circles and so the answer there is 2

in the number 888 there are "6" circles so the answer is 6

in the number 00 there are "2" circles that's the answer

in the number 7777 there are no circles so the answer is 0

we keep on going like that......

in the number 2876 there are 3 circles 2 in the number 8 and 1 in the number 6

hope this helped :D

7 0

3 years ago

Giving 30 POINTS TO ANSWER

harkovskaia [24]

Answer: the chiled is 3 years old

Step-by-step explanation:

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2 years ago

A gardener has a circular flower bed with a radius of 17 feet. If she wants to make a square flower bed with the same area as th

mylen [45]

We know that

• The radius is 17 feet.

First, we find the circular area

$\begin{gathered} A=\pi(r)^2 \\ A=3.14(14)^2\approx3.14\cdot196\approx615.44ft^2 \end{gathered}$

This means the square flower bed will have an area of 615.44 square feet. So, we find its sides with the formula for squared areas

$\begin{gathered} A=l^2 \\ 615.44=l^2 \\ l=\sqrt{615.44}\approx24.808 \end{gathered}$ <h2>Therefore, the bed should have sides of 24.808 feet, approximately.</h2>

8 0

1 year ago