Is line / parallel to line m? Explain.
Note: Not drawn to scale

Answers

Answer 1

Answer:

Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.

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At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650?

Answers

Answer:

$P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)$

And we can use the complement rule and we got:

$P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344$

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".

Solution to the problem

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

$X \sim N(1637.52,623.16)$

Where $\mu=1637.52$ and $\sigma=623.16$

Since the distribution of X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, (\sigma)/(√(n)))$

And we can use the z score formula given by:

$z = (\bar X -\mu)/((\sigma)/(√(n)))$

And using this formula we got:

$P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)$

And we can use the complement rule and we got:

$P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344$

Answer: the probability is 0.49

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52

σ = $623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

Write a statistical question that might have been asked to gather the data. Then explain why it is statistical.

Answers

The statistical question could be How much time do people spend in the water park.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Hours Spent at Water Park

Hours Tally

4 4

5 5

6 3

7 4

These data could be the results of a survey whose target was to determine how many hours people spent at a water park.

The size of the sample should be the number of tally, which is 4 + 5 + 3 + 4 = 16.

And the question most likely was made at the exit of a water park, when the people were leaving the park.

Thus, the statistical question could be How much time do people spend in the water park?

It is a statistical because the survey is made to a sample of the people who went to the water park instead to all the people.

Hence, the statistical question could be How much time do people spend in the water park?

To learn more on Statistics click:

brainly.com/question/30218856

#SPJ3

Answer:

sample responce: How many hours did you spend at the water park today?” It is statistical because the responses will vary among individuals and the responses will be numeric

Step-by-step explanation:

Write the products

6 tens =
9 tens =
12 tens=
10 elevens=

Answers

Answer:

see below

Step-by-step explanation:

6 tens = 6 * 10 = 60

9 tens =9* 10 = 90

12 tens=12 * 10 = 120

10 elevens=10 * 11 = 110

Solve for x. Note: Figure not drawn to scale.AA
B
8
X
24.6°
C
D

Answers

Answer:

x = 65.4°

Step-by-step explanation:

the 2 angles x and 24.6° form ∠ ABD , that is

∠ ABC + ∠ CBD = ∠ ABD ( substitute values )

x + 24.6° = 90° ( subtract 24.6° from both sides )

x = 65.4°

Simplify the following (-4)-2/7

Answers

Answer:

(-4)-2/7=-30/7

Step-by-step explanation:

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _____mph Direction:______ ° If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____ miles