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
Gnoma [55]
3 years ago
13

Two​ trains, Train A and Train​ B, weigh a total of 198 tons. Train A is heavier than Train B. The difference of their weights i

s 30 tons. What is the weight of each​ train?
Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

A: 114, B: 84

Step-by-step explanation:

Let A be weight of Train A, B be weight of Train B. Since A is heavier than B by 30 tons, A = B + 30. Since A + B = 198, you can substitute for A to get (B+30) + B = 198. Then simplify so 2B = 168 and B = 84.

Then plug B into A = B+30 to get A = 114.

You might be interested in
If the radius of mars is about 13.7% of neptune's radius, what is the radius of neptune?
Sergeu [11.5K]
If your figure is correct, then Neptune's radius would be 7.3 times the size of Mars'. Tell us either one and we'll have both of them.
6 0
3 years ago
Read 2 more answers
What is the volume of the following rectangular prism??
LekaFEV [45]

0ne and one fifth or 1 and 1/5

5 0
3 years ago
Read 2 more answers
What is the resulting ordered pair if the value of the independent variable is 5?
eduard
F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
6 0
3 years ago
I need help on questions two lol pls help me
aksik [14]
1. (8/9)/4

8/9 * 1/4 = 8/36= 2/9 paint for each birdhouse

2. ron 1 mile every 20 minutes so 3 mph

1 mile every 24 minutes so ron is the faster walker
5 0
2 years ago
According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume
Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that \mu = 22

Standard deviation is 4:

This means that \sigma = 4

Sample of 36:

This means that n = 36, s = \frac{4}{sqrt{36}}

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

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

By the Central Limit Theorem

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

Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}

Z = 0

Z = 0 has a p-value of 0.5.

X = 21

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

Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0
2 years ago
Other questions:
  • Guys HALP meh with this one
    5·1 answer
  • An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate
    6·1 answer
  • A drawer contains 4 red socks, 8 white socks, and 6 blue socks. Without looking, you draw out a sock, return it, and draw out a
    6·2 answers
  • which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 7​
    5·2 answers
  • X ²-12x+36=0 <br> x= ? <br> please help fast im doing a test <br> i will give brainleist
    8·2 answers
  • Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
    9·1 answer
  • Match each organ or function with its body system <br><br> Excretory and digestive are the options
    7·1 answer
  • A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the
    7·1 answer
  • Help i need i the answer asp pls​
    7·1 answer
  • a family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads. each m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!