כ שדורש Cוטו LTULIUועי<br> .<br> f(x) = 9(7)*

(1) Which of the following is the factored form of:<br> x2 + 10x +9

Degger [83]

Answer:

( + 1 ) ( + 9 )

Step-by-step explanation:

4 0

2 years ago

A tortoise moves at a speed of 34 inches in 11 seconds. What is its average speed in feet per hour?

Elan Coil [88]

Answer:

927.3 feet per hour

Step-by-step explanation:

first determine how many seconds are in one hour

there are 60 seconds in one minute and 60 minutes in one hour

so there are 60x60, or 3600 seconds in one hour

now you can create a proportion of inches/seconds = inches/seconds

let 'x' = inches per hour

34/11 = x/3600

cross-multiply to get:

11x = 3600x34

11x = 122,400

x = 122,400/11

x = 11,127.3 inches per hour

to determine how many feet per hour you must divide 11,127.3 inches by 12

this equals 927.3 feet per hour

3 0

2 years ago

How much is 25 pens for $19.75.

Scilla [17]

Answer:

$493.75

Step-by-step explanation:

25 × 19.75 = $493.75

I hope this helps!

6 0

3 years ago

Read 2 more answers

How many numbers are there between 1 and 4?

Alisiya [41]

Answer:

there are 2 numbers between 1 and 4

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

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 mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

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

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

2 years ago

כ שדורש Cוטו LTULIUועי . f(x) = 9(7)*