A fair coin is tossed 6 times. Compute the probability of tossing 6 tails in a row.

gulaghasi [49]

Answer:

x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2 = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

3 0

3 years ago

Read 2 more answers

What is the surface area of the prism

V125BC [204]

Answer:

14 squared

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

12

weeeeeb [17]

Answer:

2x + y = -4

Step-by-step explanation:

standard form of equation of straight line is

ax+by = c

that is terms containing x and y should be on LHS and constant term should be on RHS

______________________________________________

Given equation

y + 1 = - 2x - 3

lets bring -2x on LHS ,

add 2x on lHS and RHS

y + 1 + 2x = - 2x - 3 + 2x

=> y + 1 + 2x = -3

on lHS, 1 is there which constant term lets bring it on RHS

subtract 1 from both sides

y + 1 + 2x - 1= -3 -1

y + 2x = -4

rearranging it

2x + y = -4 (Answer)

8 0

4 years ago

A population of 130,000 grows 4% per year for 16 years.

alexgriva [62]

Let's consider the scenario after each year:

After the zeroth year, the population is: 120 000(1 + 0.04)⁰

After the first year, the population is: 120 000(1 + 0.04)¹

After the second year, the population is: 120 000(1 + 0.04)²

...

Thus, we can find the general rule:

After the nth year, the population is: 120 000(1 + 0.04)ⁿ

And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)

6 0

3 years ago

The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat

vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is given that the

N (μ , σ).

Here μ is 2 hours then

μ = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

5 0

2 years ago