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storchak [24]
3 years ago
6

If a coin is flipped three times in a row, what is the probability of getting tails on all three flips?

Mathematics
1 answer:
telo118 [61]3 years ago
4 0
Probability of getting tails on first flip = 1/2

Probability of getting tails on second flip = 1/2

Probability of getting tails on third flip = 1/2

Probability of getting all 3 tails =  1/2 * 1/2 * 1/2 = 1/8
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When completing an online shopping transaction, a typical shopper takes 9 seconds to select each product and another 8 seconds t
katrin [286]

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

Here, time taken to select 1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Here, time taken to shop = 26 seconds

Now as check out process takes 8 seconds , so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                   = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

3 0
3 years ago
Please answer this questions
qaws [65]
The distance is 21km because it says each square is 1km and if you count along the squares there are 21

Hope this helps—xoxo
7 0
3 years ago
Four spheres of a radius 6cm just fit inside a cylinder
aksik [14]

Answer:

The space left inside the cyclinder =36π(h - 24)

step-by-step explanation:

Radius of sphere = 6cm

Diameter of cylinder = 12cm

Radius of cylinder = d / 2 = 12 /2 = 6cm

Formula for volume of a sphere = 4/3 πr³

Formula for volume of volume of a cylinder = πr²h

r = radius

h = height

The volume of one sphere = 4/3πr³

Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³

But radius of the sphere = 6cm

Volume of the sphere = 4 * π * 6³

Volume of the sphere = 864π

Let the space left in the cylinder = x

The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres

x = πr²h - 4πr³

Note : both radius = 6cm and we can just substitue it

x = πr² (h - 4r)

x = π*6² (h - 4*6)

x = 36π (h - 24)

The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.

6 0
3 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
Solve.<br> 9x + 6y = -3<br> y = -8
klio [65]

Answer:

5

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

6 0
3 years ago
Read 2 more answers
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