1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldenfox [79]
2 years ago
5

Race Times

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

B) The median will increase.

Step-by-step explanation:

he original median was 35 and the new median is 36. The median will increase.

You might be interested in
I need help solving parallel and perpendicular lines.
larisa [96]
Parell lines are that do not intersect and perpendicular are that make a 90% angle

7 0
2 years ago
Evaluate the expression using x = -6 and y= 3
FinnZ [79.3K]

Answer:

-45

Step-by-step explanation:

put x = -6 and y=3 in this expression : y(2x - y)

3(2(-6)-3) = 3(-12 -3)= 3(-15) = -45

6 0
3 years ago
Read 2 more answers
Concerns about the climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g. from r
natta225 [31]

Answer:

a) 99% of the sample means will fall between 0.933 and 0.941.

b) By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

(a) If the true mean is 0.9370 with a standard deviation of 0.0090 within what interval will 99% of the sample means fail?

Samples of 34 means that n = 34

We have that \mu = 0.937, \sigma = 0.009

By the Central Limit Theorem, s = \frac{0.009}{\sqrt{34}} = 0.0015

Within what interval will 99% of the sample means fail?

Between the (100-99)/2 = 0.5th percentile and the (100+99)/2 = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2.575 = \frac{X - 0.937}{0.0015}

X - 0.937 = -2.575*0.0015

X = 0.933

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

Z = \frac{X - \mu}{s}

2.575 = \frac{X - 0.937}{0.0015}

X - 0.937 = 2.575*0.0015

X = 0.941

99% of the sample means will fall between 0.933 and 0.941.

(b) If the true mean 0.9370 with a standard deviation of 0.0090, what is the sampling distribution of ¯X?

By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

6 0
3 years ago
30 yards = how many feet?
mrs_skeptik [129]

30 yards = 90 ft

3.5 pounds = 56 oz

3.5 cm = 18.8976 in

12ft and 10 inches (12.833333333333334 = 154 im

8 0
3 years ago
Read 2 more answers
If a container is being filled at 5 pints per minute, how many gallons per second is this?
Kruka [31]
.010416666666. Use conversion factors to solve. 

6 0
3 years ago
Other questions:
  • Write an algebraic expression to model the given context.Give your answer in simplest form. (please explain)
    9·2 answers
  • 450 is 75% of what number?
    15·1 answer
  • Tell whether xy is positive or negative. If x is negative and y is positive, the product is
    5·1 answer
  • Alexis buys groceries using her credit card her card has an APR of 19.99% and she must pay at least 5% of the balance at the end
    13·1 answer
  • Deborah hikes due south for 3 miles. She then turns due west and hikes 4 miles. What is the shortest distance between the starti
    11·1 answer
  • Can someone please figure out the first one, I already got the second one. I need help with the first one.
    14·2 answers
  • The HCP prescribes methotrexate 7.5 mg PO weekly, in 3 divides doses for a child with rheumatoid arthritis whose body surface ar
    7·1 answer
  • Ardit left a 18% tip on a $60 restaurant bill. How much money did he leave for the tip?
    7·1 answer
  • If shape 1 is a scaled copy of shape 2, what angle corresponds to angle Y?
    11·2 answers
  • On Friday, 0.325 of the students in
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!