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prisoha [69]
2 years ago
10

What is the total purchase price of a $13.65 shirt if the sales tax rate is 6.2%?

Mathematics
1 answer:
posledela2 years ago
8 0

Answer:

14.49

Step-by-step explanation:

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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X deno
Roman55 [17]

Answer:

a) P(X>np+3\sqrt{np(1-p)}=0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,

The standard deviation SD(X)= \sqrt{0.198} ≈ 0.445

a) P(X>np+3\sqrt{np(1-p)}=P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)

Probability function is given by:

\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - \frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}-\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}

P(X≥2)=1-0.165-0.818=0.017

b) p=0.04

P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 - \frac{20!}{0!(20-1)!} *(0.04)^{1}*(1-0.04)^{(20-1)} - \frac{20!}{0!(20-0)!} *(0.04)^{0}*(1-0.04)^{(20-0)}

P(x>1)= 1 - 0.368 - 0.442=0.190

c) In this case we consider p=0.19 (Probability that X exceeds 1)

In this experiment Y is the number of hours and n= 5 hours.

Then, we check the probability in each hour:

P(Y>1)=1- P(Y=0)

P(Y=0)=\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}=0.349

P(Y>1)=1-0.349=0.651

3 0
3 years ago
I don't know the answer can eney one help??
zlopas [31]

Answer:

Please see attached picture for full solution.

4 0
3 years ago
I really need help pls?
Gnesinka [82]

Answer:

See Below

Step-by-step explanation:

Ok, this is just like the systems of equations.

x-7 = 5x-31

Solve

x-7 = 5x-31

-x     -x

-7 = 4x -31

+31       +31

24 = 4x

24/ 4   = 4x/ 4

x=6

Hope this helps!=)

8 0
3 years ago
If Koran and Mai start a bike trip at the same time, how far are they after 24 minutes?
Dafna1 [17]
(12, 32) i think this is the right answer
5 0
2 years ago
An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are s
melomori [17]
Add the equations to eliminate x
6 0
3 years ago
Read 2 more answers
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