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
sdas [7]
3 years ago
5

. If y varies directly with x when y = -4 and x = 10, determine y when x = 2. Write and equation for the direct variation and de

termine the value.
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

y = - 0.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = - 4, x = 10, then

- 4 = 10k ( divide both sides by 10 )

- 0.4 = k

y = - 0.4x ← equation of variation

When x = 2 , then

y = - 0.4 × 2 = - 0.8

You might be interested in
What is the solution to the equation –13+x = –4?<br> a. –17<br> b. 9<br> c. –9<br> d. 17
Debora [2.8K]
-13+9=-4
When you add a positive number to a negative number the answer will get closer to 0 and then progress up in positive numbers. In this case we are finding which of the numbers equals -4 when added to -13. Remember, if you add a negative to a negative you will get a negative.
-13+-17=-30 This is the wrong answer.
-13+-9=-21 This is the wrong answer.
-13+17=4 This is the wrong answer. (This is positive 4 we are trying to find -4)
-13+9=-4 This is the right answer
Therefore X=9
6 0
3 years ago
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300.
Fynjy0 [20]

Answer:

0.02% probability that the average amount billed on the sample bills is greater than $500.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples 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.

In this problem, we have that:

\mu = 465, \sigma = 300, n = 900, s = \frac{300}{\sqrt{900}} = 10.

What is the probability that the average amount billed on the sample bills is greater than $500?

This probability is 1 subtracted by the pvalue of Z when X = 500. So

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

Z = \frac{500 - 465}{10}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998.

So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.

8 0
2 years ago
Helpppppppp plizzzzzzzzzzzzz
Margarita [4]
Take the equation: y = 520 + 14x and put each value from the table in for x and y.  

100 = 520 + 14 * -30
100 = 520 + -420
100 = 100   When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.

So, you would work through each line in the table.  If they are all like the one above, the answer is Yes.  If not, it is no.
7 0
3 years ago
A gas pump measures volume of gas to the nearest 0.01 gallon. Which measurement shows an appropriate level of precision for the
PSYCHO15rus [73]

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

5 0
2 years ago
PLEASE HELP ASAP!!!!!!!!!!!<br> APPRECIATED
Juli2301 [7.4K]

Answer:

6

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • A laptop that originally cost $2000 is on sale for 55% off. What is the sale price of the laptop? What was the amount of the dis
    9·1 answer
  • Please so this question, IF IT ENDS UP BEING CORRECT U GET BRAINLEST
    7·2 answers
  • Path A and B are walking paths used for horses. Path A is 118 feet long. Path B is 180 feet long. Carlos walks his horse down ra
    5·1 answer
  • Write an essay explaining the importance of getting to know people before forming an opinion about them.
    10·1 answer
  • What is 8a = 5a + 21 please and thank you
    14·2 answers
  • At the beginning of the year, Mr. and Mrs. Smith's portfolio is made up of $200 cash, stocks, with value of $236,000, and bonds
    14·1 answer
  • 3 (x-5)+2 (3x+1)=45​
    15·1 answer
  • 74.88 rounded to three significant figures?
    10·2 answers
  • In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study
    12·1 answer
  • Rearrange<br> x= v+5<br> to make v the subject.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!