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Leni [432]
3 years ago
6

A pool has dimensions of 40m by 20m. We'd like to add a tile path surrounding the pool with a width of 1m all the way around the

pool. What's the area of the path?
Mathematics
1 answer:
taurus [48]3 years ago
6 0
The area of the path would me 407 m
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John flips 10 coins and lays them out in a straight line.
belka [17]

For every coin, two options are possible. The formula for calculting all possibilities is p^{t} where p is possibilities per time and t is times.

Therefore, there are 2^{10} which is 1024 combinations.

The formula for calculating probability is \frac{w}{t} where w is the ways to achieve the desired outcome, and t is the total outcomes possible.

Therefore, there is a \frac{1}{1024} chance of flipping ten tails.

3 0
4 years ago
The product 1/6 x 3/2 will be less than or greater than 1/6
garik1379 [7]

Answer:

The product of 1/6 × 3/2 will be greater than 1/6.

Step-by-step explanation:

Let's start by converting the fraction 3/2.

\frac{3}{2}  = 1\frac{1}{2} = 1.5

We are given a number greater than 1. Since you are multiplying 1/6 by a number greater than 1, the answer is an increased value compared to the original number.

We can also prove this the mathematical way:

\frac{1}{6}  \times  \frac{3}{2}  =  \frac{1 \times 3}{6 \times 2}  =  \frac{3}{12}  =  \frac{1}{4}

1/4 > 1/6, or 0.25 > 0.1(6)

5 0
3 years ago
3. The table shows the number of hours that a grouped of students spent studying for the SAT during their first week of preparat
laiz [17]
The answer is the mean, mode, and median increases by 4, the range of times is the same.

Week 1:                                              Week 2:
Student - Hours                                 Student - Hours<span>
Bob          19                                       </span>Bob          23<span>
James      10                                      </span>James       14<span>
Karen       15                                       </span>Karen       19<span>
Rosario    17                                        </span>Rosario    21<span>
Antoine    10                                       </span>Antoine    14<span>
Julio         16                                       </span>Julio         20<span>
Maria        13                                       </span>Maria        17<span>

The mean is the sum of all values divided by the number of values:
Week 1: (19 + 10 + 15 + 17 + 10 + 16 + 13)/7 = 100/7 = 14.28
Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
The difference in means between Week 2 and Week 1 is 4 (18.28 - 14.28 = 4)

The median is the middle value. To calculate, first rearrange values from the lowest to the highest and then find the middle value:
Week 1: 10, 10, 13, 15, 16, 17, 19            - The median is 15.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 19.
The difference in medians between Week 2 and Week 1 is 4 (19 - 15 = 4)

The mode is the value that occurs most frequently.
</span>Week 1: 10, 10, 13, 15, 16, 17, 19            - The mode is 10.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The mode is 14.
The difference in modes between Week 2 and Week 1 is 4 (14 - 10 = 4)

The range of times is the difference between the highest and the lowest value.
Week 1: 10, 10, 13, 15, 16, 17, 19            - The range of times is 9 (19 - 10 = 9).
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 9 (23 - 14 = 9).
The difference in the ranges of times between Week 2 and Week 1 is 0 (9 - 9 = 0)
7 0
3 years ago
Read 2 more answers
How do you know whether two quantities x and y are proportional?
Triss [41]

Answer:

The correct answer is:

1. Every ratio yx for related pairs of x and y is equivalent.

Step-by-step explanation:

Proportion is defined as the relationship between two quantities. When one quantity changes the other is also changes.

For two quantities y and x when we say that both are proportional then t can be written as:

y∝x

Removing the proportionality symbol introduces a constant which is the ratio of y and x.

\frac{y}{x} = k

This ratio of y and x, i.e. k is equivalent for all related pairs of x and y.

Hence,

The correct answer is:

1. Every ratio yx for related pairs of x and y is equivalent.

7 0
3 years ago
Your friend just recovered from a painful bacterial ear infection. Her first day back at school, she says, "Scientists should ju
Goryan [66]

Answer:

Earth dies

Step-by-step explanation:

If there were no bacteria on earth everything that lives and breaths will cease to exist, No water, no trees, no birds, no air, no humans. everything will be gone the earth would just be lifeless

6 0
3 years ago
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