Whats is the relationship between the 5's in 125,543

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

thousand's, and hundreds.

Step-by-step explanation:

the first 5 is in the thousands place, and the second 5 is in the hundreds place.

hope this helped :)

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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago

10x - 10y = 1 x = y - 3 solve the system of equations by substitution. a. (-29/20, 31/20) b. (1/2, 2/5) c. no solution d. coinci

Gekata [30.6K]

First you'd substitute x= y-3 in the first equation.

10(y-3) -10y= 1

10y - 30 -10y= 1

The y's cancel each other out, so you're left with -30= 1. That means there's no solution :)

8 0

3 years ago

Please help me idk this

Sergio [31]

First take the fractions and find their common denominator:
$\frac{1}{2}$ x 4 = $\frac{4}{8}$

Now you can add the fractions:
$\frac{4}{8} + \frac{1}{8} = \frac{5}{8}$

Now add your whole numbers and the fraction:
1+1= 2 >> 2+ $\frac{5}{8}$ = 2 $\frac{5}{8}$ yards

Now subract 2 $\frac{5}{8}$ from 5:
5-2 $\frac{5}{8}$ =2 $\frac{3}{8}$ yards