There are 5 quarts left in the fridge. How many liters are in the fridge? (1 quart = 0.946 liters).

nlexa [21]

The answer is C, 25% increase. To find the increase, subtract starting value (780) from the final value (975). It equals out to be 195. Divide 195 by the starting value which turns out to be 0.25. Then, multiply 0.25 by 100 which equals out to be 25.

5 0

3 years ago

Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?

snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = $10^{3} =1000$ outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have $x+y+z=1000$

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

$2x+z=1000$

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3= $\frac{10!}{3!7!}$ = 120 ways

So, $2x=2\times120=240$

Thus $z=1000-240=760$

So, the probability is = $\frac{760}{1000} = 0.76$

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0

3 years ago

Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the c

MrMuchimi

Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

<h3>What is the Poisson distribution?</h3>

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

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

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

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

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

$\mu = 2 \times 10 = 20$ .

The probability is P(X = 20), hence:

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

$P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888$

Item b:

1 hour, hence the mean is given by:

$\mu = 2$

The probability is P(X = 0), hence:

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

$P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354$

Item c:

The probability is:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646$

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

5 0

2 years ago

SportsBounceCo makes only boxes that have sides that are measured in whole inches, like the boxes you have been describing so fa

stepan [7]

Answer:

No

Step-by-step explanation:

Look at the surface area of the box formular : S = 2lw + 2lh + 2wh

When l : length. w: with and h: hight

As we often considered strange, you can always multiply a whole number by a whole number and always get a whole number, and there is no decimal number about the 3 dementions like the boxes you have been describing so far. So It is impossible.

6 0

3 years ago

Shannon test drives a car in Germany and drives 95 kilometers per hour. What is her speed in miles per hour?

kompoz [17]

Answer:59.03 miles

Step-by-step explanation:

8 0

3 years ago

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