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3 years ago

6

Please help the test is due today !!

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

The first one is x axis

the second one is the axis

third one doesn't seem to be a reflection

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Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting

dimulka [17.4K]

Answer:

a) $P(X>20 |X>15) =\frac{P(X>20)}{P(X>15)} =\frac{0.305}{0.742}=0.411$

b) $P(X>25 |X>18) =\frac{P(X>25)}{P(X>18)} =\frac{0.048}{0.481}=0.0997$

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".

Let X the random variable that represent the interpupillary distance (the distance between the pupils of the left and right eyes) of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.8,4.3)$

Where $\mu=17.8$ and $\sigma=4.3$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(72,\frac{6}{\sqrt{27}})$

Part a

(a) What is the probability that the waiting time will exceed 20 minutes, given that it has exceeded 15 minutes?

$P(X>20 |X>15) =\frac{P(X>20 and X>15)}{P(X>15)}=\frac{P(X>20)}{P(X>15)}=\frac{1-P(X$

We can find the inidivual probabilities like this:

$P(X>15)=1-P(X$

$P(X>20)=1-P(X$

And then we can replace

$P(X>20 |X>15) =\frac{P(X>20)}{P(X>15)} =\frac{0.305}{0.742}=0.411$

Part b

(b) What is the probability that the waiting time will exceed 25 minutes, given that it has exceeded 18 minutes?

$P(X>25 |X>18) =\frac{P(X>25 and X>18)}{P(X>18)}=\frac{P(X>25)}{P(X>18)}=\frac{1-P(X$

We can find the inidivual probabilities like this:

$P(X>18)=1-P(X$

$P(X>25)=1-P(X$

And then we can replace

$P(X>25 |X>18) =\frac{P(X>25)}{P(X>18)} =\frac{0.048}{0.481}=0.0997$

7 0

3 years ago

Solve the equation<br> 5x-(3x+2)=13

bagirrra123 [75]

5x-3x-2=13
2x-2=13
2x=15
x=7.5

8 0

3 years ago

Read 2 more answers

Hurry plz! Will vote Brainly or whatever and will reward all point I can.

trapecia [35]

Answer:

IT would be a because the x and y represents the humans

Step-by-step explanation:

4 0

3 years ago

A box of cereal states that there are 72 calories in a 3/4-cup serving. What is the unit rate for calories per cup? How many cal

kari74 [83]

Answer:

400 calories in 4 cups of cereal.

Step-by-step explanation:

The unit rate is how many calories are in 1 cup of cereal.

Set up a proportion:

Cross multiply and solve:

There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.

There are 400 calories in 4 cups of cereal.

3 0

3 years ago

The vertex of the parabola is at (-3, -2). Which of the following could be its equation?

AysviL [449]

Answer:

The answer to your question is the last choice

Step-by-step explanation:

Data

Vertex = (-3 , -2)

From the picture, we know that it is a vertical parabola that opens downwards.

Formula for this parabola

-(x - h)² = 4p(y - k)

- if p = 1/4, then 4p = 4(1/4) = 1 and the equation is

- (x - h)² = y - k

The equation is negative because it opens downwards.

- Substitution

-(x + 3)² = y + 2

- Solve for y

y = -(x + 3)² - 2

8 0

3 years ago