The swimming pool in a leisure centre is shown below.
The length of the
swimming pool is 25m and the width is 12m
The depth of the shallow end is 1m and the depth of the deep end is 2.4m.
Given Im - 1000 litres
Work out how much water, in litres, the swimming pool holds.
25m
12​

Answer:

The dependent variable is c and the independent variable is s

Step-by-step explanation:

S does not rely on anything. C relies on the answer to the equation.

Answer:

hshshshshshegeheysheue

ejurehehehejendnendjd

Answer:

C

Step-by-step explanation:

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Step-by-step explanation:

in right angled triangle ;

hypotenuse² =( side 1)² +(side 2)²

(65)²=(25)² +(x)²

4225 = 625 + (x)²

4225 - 625 = x²

3580 = x²

59.83 = x

180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

Given a point let's say A(-2,7)

If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.

A(-2,7) ← Second quadrent

A'(2,-7) → Fourth quadrant

Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".

For more about coordinates,

brainly.com/question/7869125

#SPJ5

Answer:

[tex] 34 \frac{13}{20} \: {ft}^{3} [/tex]

Step-by-step explanation:

Water required to fill the aquarium

= Volume of the aquarium

[tex] = lbh \\ \\ = 4 \frac{2}{5} \times 3 \frac{1}{2} \times 2 \frac{1}{4} \\ \\ = \frac{22}{5} \times \frac{7}{2} \times \frac{9}{4} \\ \\ = \frac{11}{5} \times \frac{7}{2} \times \frac{9}{2} \\ \\ = \frac{693}{20} \\ \\ = 34 \frac{13}{20} \: {ft}^{3} [/tex]

Answer:

-6 x -2 = 12

-6 x -10x = 60x

12 - 60x

60x - 7x = 53x

12 - 53x

He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

Answer:

n = 30....................

Answer:

30

Step-by-step explanation:

n+75=105

We move all terms to the left:

n+75-(105)=0

We add all the numbers together, and all the variables

n-30=0

We move all terms containing n to the left, all other terms to the right

n=30

Answer:

Step-by-step explanation:

Step-by-step explanation:

( x-2y=12)5

5x-10y=60

- 5x+3y=-44

____________

13y=-104

y=-104/13

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

Answer:

your final price is 19.02

your ta rate is 5.75

Step-by-step explanation:

your

Answer:

a) 25.46% of tablets will contain less than 104 mg of the active chemical.

b) 0.52% of samples will have a sample mean of less than 104 mg of the active chemical.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normal distribution with mean 105 mg and standard deviation 1.513 mg.

This means that [tex]\mu = 105, \sigma = 1.513[/tex]

A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.

The proportion is the pvalue of Z when X = 104. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{104 - 105}{1.513}[/tex]

[tex]Z = -0.66[/tex]

[tex]Z = -0.66[/tex] has a pvalue of 0.2546

0.2545*100 = 25.46

25.46% of tablets will contain less than 104 mg of the active chemical.

B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.

Sample means from samples of 15. So, by the Central Limit Theorem:

[tex]n = 15, s = \frac{1.513}{\sqrt{15}} = 0.39[/tex]

The proportion is the pvalue of Z when X = 104. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{104 - 105}{0.39}[/tex]

[tex]Z = -2.56[/tex]

[tex]Z = -2.56[/tex] has a pvalue of 0.0052

0.0052*100 = 0.52

0.52% of samples will have a sample mean of less than 104 mg of the active chemical.

Answer:

6

Step-by-step explanation:

Answer:

5 in.

Step-by-step explanation:

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

the answer is 25 .

Step-by-step explanation:

Answer:140.1

Step-by-step explanation:

Answer:

140.1

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

side GF is shared.

angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles

Answer:

No

Step-by-step explanation:

The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.

Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.

Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.

However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

Explanation is in the file

tinyurl.com/wtjfavyw

Answer:

A

Step-by-step explanation:

Bc I said

Answer:

It's 5

Step-by-step explanation:

Thank you very much for the points :DD

Have a nice day!

Answer:

attached below

Step-by-step explanation:

loops have permutations , steps to  show that the given set of permutations is a stationary distribution is attached below