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1 month ago

Shannon rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 13.

1 answer:

4 0

The probability is 0. Fair dice have six sides, and each side has an equal chance of being rolled. The maximum possible outcome with two dice is 6 + 6 = 12, rendering a total of 13 unattainable. Hence, the probability of achieving a total of 13 is 0.

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Emily invests $5,000 in an

lawyer [12517]

Answer:

50 years

Detailed breakdown:

Applying the simple interest formula:

PRT/100

Where P is the principal amount ($5000)

R represents the interest rate (4)

T signifies the time (x- unknown)

The total amount after time T is double the initial investment = 5000 * 2 = 10000

(5000 * 4 * x) / 100 = 10000

20000x / 100 = 10000

20000x = 100 * 10000

20000x = 1,000,000

x = 1,000,000 / 20,000

x = 50

It will require 50 years

7 0

2 months ago

Read 2 more answers

A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a

Svet_ta [12734]

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

$= 2 \times (length + breadth)$

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

$= 2 \times (2.02 + 1.22)$

$= 2 \times 3.24$

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

3 0

2 months ago

Suppose your statistics professor reports test grades as z-scores, and you got a score of 1.57 on an exam. a) Write a sentence

tester [12383]

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

$z =\frac{x -\mu}{\sigma}$

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b) $P(Z$

Using the normal standard distribution or Excel, we computed:

$P(Z$

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

$z =\frac{x -\mu}{\sigma}$

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

$P(Z$

Using the normal standard distribution or Excel, we discovered:

$P(Z$

This represents 2.275% of the data.

6 0

3 months ago

You are painting a room. After 18 minutes, 64% of the room still needs painted. How long does it take to paint the entire room?

lawyer [12517]

Answer:

A) The total duration needed to paint the room is 50 minutes.

B) To paint 64% of the room takes 32 minutes.

Step-by-step explanation:

Given as:

After 18 minutes, 64% of the room still requires painting.

Therefore, within 18 minutes, (100% - 64% = 36%) of the room has been painted

Let T minutes be the total time required to paint the entire room.

Now, according to the question

A ) Using the unitary method

∵ In total, 36% of the room is covered in 18 minutes

Thus, in total time of $\dfrac{18}{36}$ minutes, 1% of the complete room is painted.Consequently, 100% of the room would be painted in $\dfrac{18}{36}$ × 100 minutes

i.e T = $\dfrac{18\times 100}{36}$

Thus, T = 50 min

Therefore, the duration needed to paint the entire room = T = 50 minutes

Thus, the time required to finish painting the entire room is 50 minutes. Answer

B) Again

Time taken to paint 64% of the room = x minutes

∵ 36% of the room has been painted in a total of 18 minutes

Thus, 1% of the entire room gets painted in $\dfrac{18}{36}$ minutes

Consequently, painting 64% of the room will take $\dfrac{18}{36}$ × 64 minutes

i.e x = $\dfrac{18\times 64}{36}$

Thus, x = 32 min

Therefore, the required time for painting 64% of the entire room = x = 32 minutes

Thus, the time required to paint 64% of the room amounts to 32 minutes. Answer

5 0

1 month ago