Cost of a pair of shoes is Rs. 400 if 10% sales tax is charged then bill amount is .....?

Please Mom wants to keep track of Jeffrey's account balance for lunch at school equation be equals 50 - 10w represents the balan

Vesnalui [34]

50-10(3)
50-30= 20
The answer is 20

8 0

3 years ago

The article modeling sediment and water column interactions for hydrophobic pollutants suggests the uniform distribution on the

lilavasa [31]

Answer:

1) $\mu=\frac{1}{2}(7.5+20) =13.75$

$\sigma^2 = \frac{1}{12}(20-7.5)^2 =13.02$

2) $F(x)=\big\{0, x$

$F(x) =\big\{ \frac{x-a}{b-a}=\frac{x-7.5}{20-7.5}, a\leq x$

$F(x)=\big\{1, x\geq b$

3) $P(X$

$P(10\leq X \leq 15)=F(15)-F(10)=\frac{15-7.5}{20-7.5} -\frac{10-7.5}{20-7.5}=0.6-0.2=0.4$

4) $P(10.142\leq X \leq 17.358)=F(17.358)-F(10.142)=\frac{17.358-7.5}{20-7.5} -\frac{10.142-7.5}{20-7.5}=0.789-0.211=0.578$

$P(6.534\leqX\leq 20.966)=P(6.534\leq X$

Step-by-step explanation:

A uniform distribution, sometimes also known as a rectangular distribution, is a distribution that has constant probability.

Part 1

If X is a random variable that follows an uniform distribution $x\sim U(a,b)$ . The mean for an uniform distribution is given by : $\mu=\frac{1}{2}(a+b)$

On this case a=7.5 and b=20 so if we replace we got:

$\mu=\frac{1}{2}(7.5+20) =13.75$

The variance for the uniform distribution is given by this formula:

$\sigma^2 = \frac{1}{12}(b-a)^2$

And replacing we have:

$\sigma^2 = \frac{1}{12}(20-7.5)^2 =13.02$

Part 2

The cumulative distribution function is given by:

$F(x)=\big\{0, x$

$F(x) =\big\{ \frac{x-a}{b-a}=\frac{x-7.5}{20-7.5}, a\leq x$

$F(x)=\big\{1, x\geq b$

Part 3

What is the probability that observed depth is at most 10?

We are interested on this probability:

$P(X$

What is the probability that observed depth is between 10 and 15?

On this case we want this probability:

$P(10\leq X \leq 15)=F(15)-F(10)=\frac{15-7.5}{20-7.5} -\frac{10-7.5}{20-7.5}=0.6-0.2=0.4$

Part 4

What is the probability that the observed depth is within one standard deviation of the mean value? within 2 standard deviations?

First we find the limits within one deviation from the mean:

$\mu-\sigma= 13.75-3.608=10.142$

$\mu-\sigma= 13.75+3.608=17.358$

And we want this probability:

$P(10.142\leq X \leq 17.358)=F(17.358)-F(10.142)=\frac{17.358-7.5}{20-7.5} -\frac{10.142-7.5}{20-7.5}=0.789-0.211=0.578$

Now we find the limits within two deviation's from the mean:

$\mu-2*\sigma= 13.75-2*3.608=6.534$

$\mu-2*\sigma= 13.75+2*3.608=20.966$

But since the random variable is defined just between (7.5 and 20) so we can find just the probability on these limits.

$P(6.534\leqX\leq 20.966)=P(6.534\leq X$

7 0

3 years ago

What is 15 out of 100 in simplest form

arsen [322]

Use 5 as the lowest common factor and you gt 3/20

4 0

3 years ago

A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than n

Stolb23 [73]

It is C. 1/3 because an odd number less than 9 is 7, 5, 3, and 1. There are 4 odd numbers less than 9 out of 12. So it’s 4/12. But you can simplify it and it will give you 1/3

8 0

3 years ago

I need an answer! NO LINKS PLS! il give brainlist

Maru [420]

I think the answer is A because,

It is very unlikely that the gamers spend 606$ with a 21% deviation in the store

And it is most likely a lie that they spent that much .

3 0

3 years ago

Cost of a pair of shoes is Rs. 400 if 10% sales tax is charged then bill amountis .....? ​

Cost of a pair of shoes is Rs. 400 if 10% sales tax is charged then bill amountis .....?