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3 years ago

WILL GIVE BRAINLIST FOR CORRECT ANSWER (NO LINKS)

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

30 in.

Step-by-step explanation:

You have to add the current length of the board with the length that was cut off.

18 + 12 = 30

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Write 8 in the form 4n

kow [346]

N equals to 2 so 4 plus 2 is 6 and that is the answer!!

Glad I could help. Have A Good day

3 0

3 years ago

Who has scratch on here ?

ra1l [238]

Answer:

no sry

Step-by-step explanation:

3 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.4493)^{10}.(0.5507)^{0} = 0.0003$

0.03% probability that none of the 10 cars has any surface flaws

(c) If 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws?

At least 9 cars without surface flaws. So

$P(X \geq 9) = P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.4493)^{9}.(0.5507)^{1} = 0.0041$

$P(X = 10) = C_{10,10}.(0.4493)^{10}.(0.5507)^{0} = 0.0003$

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0041 + 0.0003 = 0.0044$

0.44% probability that at most 1 car has any surface flaws

5 0

3 years ago

40 PONITS

Alex787 [66]

Hence, second option is the true option. {Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

Step-by-step explanation:

It is given that:

A spinner with 3 equal sectors is shown in the figure. The colors Green, Yellow, and Purple are marked on it.

Two cards are shown on the right side. Their colors are Purple and Green.

The table that identifies the sample space of spinning the spinner and then selecting a card is:

{Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

( Since in rest of the options the red color in the sample space but there is no card or no such color in the spin which is red)

6 0

3 years ago

Read 2 more answers

Line AB contains points A(3,-2) and B(1,8). the slope of line AB is?

ipn [44]

The slope of a line is $\frac{y_2 - y_1}{x_2 - x_1}$ . We have the points (3, -2) and (1, 8). Let's substitute those into the formula.
$\frac{8 - (-2)}{1-3}$
subtracting a negative is the same as adding, so that makes our equation
$\frac{8+2}{1-3}$
$\frac{10}{-2}$
slope = -5

4 0

3 years ago