Please answer fast !!

What's the rule? 1/16,1/8,3/16,1/4,5/16,3/8

dsp73

The rule is that you add 1/16 each time. You can see this if you find the common denominator (16):

1/16, 2/16, 3/16, 4/16, 5/16, 6/16

8 0

3 years ago

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distribut

labwork [276]

Answer:

a) $P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)$

And we can find this probability using the complement rule and the standard normal table or excel:

$P(Z>1)=1-P(Z$

b) $P(X$

And we can find this probability using the standard normal table or excel:

$P(Z$

c) For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

$N = 868*0.159= 138.012 \approx 138$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the amount of soft frink of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.6,0.4)$

Where $\mu=7.6$ and $\sigma=0.4$

We are interested on this probability

$P(X>8)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)$

And we can find this probability using the complement rule and the standard normal table or excel:

$P(Z>1)=1-P(Z$

Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the standard normal table or excel:

$P(Z$

Part c

For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

$N = 868*0.159= 138.012 \approx 138$

6 0

4 years ago

(The choices for the first one is 90 or 180)

creativ13 [48]

1. 180
2. 1&4
3. 1
the answer to the question

7 0

3 years ago

Round 591.48 to the nearest tenth.???? need help dunno

Naddik [55]

Answer:

591.5

Step-by-step explanation:

You're rounding so yeah this was simple

5 0

3 years ago

Read 2 more answers

Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centaur

Deffense [45]

Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

<u><em>The complete question in English is</em></u>

You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

$9.3*10^7\ miles$