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
kiruha [24]
3 years ago
7

How to get a radical out of the denominator?

Mathematics
1 answer:
REY [17]3 years ago
5 0
You can get the radical out of the denominator by multiplying the radical on the top AND the bottom so it's like x/x=1 so you're not changing the equation. By multiplying the same radical on the top and bottom you can get the radical on the top only!
You might be interested in
I have 5 numbers in a data set that have:
CaHeK987 [17]

Answer:

2,2,3,4,5

Step-by-step explanation:

Just show how to get the mean, median, mode, and range to justify the answer

Also hey Brailen

3 0
3 years ago
What's the numerator for the following rational<br> expression?<br> X/y + 3/y= ?/y
Fittoniya [83]

Answer:

x + 3

Step-by-step explanation:

Since we have a common denominator, we can just simply combine the numerator which is just x+3.

7 0
3 years ago
If molly walks 4 miles in 70 minutes, then molly will walk how far in 100 minutes if she walks at the same speed the whole time?
barxatty [35]
Find out how far Molly walks in 1 minute.

4/70 = 0.057 miles
In 100 minutes,
0.057x100 = 5.714 miles

Rounded to the nearest tenth, 5.7 miles.

Hope I helped :)
7 0
3 years ago
What integer on a number line is the same distance from 0 as +4?
mash [69]
-4, because it is four units away from zero.
6 0
3 years ago
Read 2 more answers
Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the me
Alexus [3.1K]

Answer:

a) 18.94% probability that the sample mean amount purchased is at least 12 gallons

b) 81.06% probability that the total amount of gasoline purchased is at most 600 gallons.

c) The approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers is 621.5 gallons.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

For sums, we can apply the theorem, with mean \mu and standard deviation s = \sqrt{n}*\sigma

In this problem, we have that:

\mu = 11.5, \sigma = 4

a. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at least 12 gallons?

Here we have n = 50, s = \frac{4}{\sqrt{50}} = 0.5657

This probability is 1 subtracted by the pvalue of Z when X = 12.

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

By the Central Limit theorem

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

Z = \frac{12 - 11.5}{0.5657}

Z = 0.88

Z = 0.88 has a pvalue of 0.8106.

1 - 0.8106 = 0.1894

18.94% probability that the sample mean amount purchased is at least 12 gallons

b. In a sample of 50 randomly selected customers, what is the approximate probability that the total amount of gasoline purchased is at most 600 gallons.

For sums, so mu = 50*11.5 = 575, s = \sqrt{50}*4 = 28.28

This probability is the pvalue of Z when X = 600. So

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

Z = \frac{600 - 575}{28.28}

Z = 0.88

Z = 0.88 has a pvalue of 0.8106.

81.06% probability that the total amount of gasoline purchased is at most 600 gallons.

c. What is the approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers.

This is X when Z has a pvalue of 0.95. So it is X when Z = 1.645.

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

1.645 = \frac{X- 575}{28.28}

X - 575 = 28.28*1.645

X = 621.5

The approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers is 621.5 gallons.

5 0
3 years ago
Other questions:
  • Please answer this question now
    5·2 answers
  • Does choosing a blue marble represent the complement event of choosing a red marble
    8·2 answers
  • Find the equivalent expression using the same bases. (21 x15)9
    6·1 answer
  • How to solve it the the composite area
    9·1 answer
  • Can an isosceles triangle be a right angle
    13·1 answer
  • The sum of 15 and the product of five and V
    6·1 answer
  • Write this expression using exponents
    12·1 answer
  • Hurry!!!plz free point<br><br> 26+28=
    5·2 answers
  • 16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will
    5·1 answer
  • 6. Rachael is married with 2 dependents. Her salary as a dental hygienist is $47,650 paid
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!