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
vlabodo [156]
3 years ago
10

What is the solution for the equation?-5/2=3/4+n

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

-3 1/4 =n

Step-by-step explanation:

First you want to make it so that all of the fractions have the same demominator.

-10/4=3/4+n

Then you solve.

-10/4=3/4+n              Subtract 3/4 from both sides

-13/4=n                      Simplify

-3 1/4=n                     Your answer is -3 1/4=n

qaws [65]3 years ago
4 0

Short answer (Assuming you are trying to find the value of <em>n):</em>

Equation solution: -2.5

Value of <em>n</em>: -3.25

I assume you wanna find the value of <em>n</em>

First step is to do the first equation

remember that that / sign is division

-5 divided by 2 = -2.5

Now start the equation with <em>n</em>

3 divided by 4 = 0.75

so <em>n </em>must be a negative because that is the only way the number will go into the negatives when your adding

Since subtracting a positive is the same as adding a negative, we can just find the number that when subtracted from 0.75 gives us -2.5 and flip the sign.

0.75 - 3.25 = -2.5

Your answer is -3.25

You might be interested in
On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd
Alexandra [31]

Answer:

A\simeq3250.83

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

r = 7\% = \frac{7\%}{100\%}=0.07

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83

8 0
2 years ago
What is the Distribution property of multiply addends of number,the add the products
KonstantinChe [14]
The address the products
5 0
3 years ago
Lori is running in a marathon, which is 28.4 miles she ran 0.1 of it already. How far has Lori run?
hoa [83]
So she ran the 0.1 of the 28.4
That is she ran 1% of 28.4 miles
0.1 * 28.4 is 2.84

Hope this helps :)
7 0
3 years ago
2. The time between engine failures for a 2-1/2-ton truck used by the military is
OLEGan [10]

Answer:

A truck "<em>will be able to travel a total distance of over 5000 miles without an engine failure</em>" with a probability of 0.89435 or about 89.435%.

For a sample of 12 trucks, its average time-between-failures of 5000 miles or more is 0.9999925 or practically 1.

Step-by-step explanation:

We have here a <em>random variable</em> <em>normally distributed</em> (the time between engine failures). According to this, most values are around the mean of the distribution and less are far from it considering both extremes of the distribution.

The <em>normal distribution</em> is defined by two parameters: the population mean and the population standard deviation, and we have each of them:

\\ \mu = 6000 miles.

\\ \sigma = 800 miles.

To find the probabilities asked in the question, we need to follow the next concepts and steps:

  1. We will use the concept of the <em>standard normal distribution</em>, which has a mean = 0, and a standard deviation = 1. Why? With this distribution, we can easily find the probabilities of any normally distributed data, after obtaining the corresponding <em>z-score</em>.
  2. A z-score is a kind of <em>standardized value</em> which tells us the <em>distance of a raw score from the mean in standard deviation units</em>. The formula for it is: \\ z = \frac{x - \mu}{\sigma}. Where <em>x</em> is the value for the raw score (in this case x = 5000 miles).
  3. The values for probabilities for the standard normal distribution are tabulated in the <em>standard normal table</em> (available in Statistics books and on the Internet). We will use the <em>cumulative standard normal table</em> (see below).

With this information, we can solve the first part of the question.

The chance that a truck will be able to travel a total distance of over 5000 miles without an engine failure

We can "translate" the former mathematically as:

\\ P(x>5000) miles.

The z-score for x = 5000 miles is:

\\ z = \frac{5000 - 6000}{800}

\\ z = \frac{-1000}{800}

\\ z = -1.25

This value of z is negative, and it tells us that the raw score is 1.25 standard deviations <em>below</em> the population mean. Most standard normal tables are made using positive values for z. However, since the normal distribution is symmetrical, we can use the following formula to overcome this:

\\ P(z

So

\\ P(z

Consulting a standard normal table available on the Internet, we have

\\ P(z

Then

\\ P(z1.25)

\\ P(z1.25)

However, this value is for P(z<-1.25), and we need to find the probability P(z>-1.25) = P(x>5000) (Remember that we standardized x to z, but the probabilities are the same).

In this way, we have

\\ P(z>-1.25) = 1 - P(z

That is, the complement of P(z<-1.25) is P(z>-1.25) = P(x>5000). Thus:

\\ P(z>-1.25) = 1 - 0.10565

\\ P(z>-1.25) = 0.89435  

In words, a truck "<em>will be able to travel a total distance of over 5000 miles without an engine failure</em>" with a probability of 0.89435 or about 89.435%.

We can see the former probability in the graph below.  

The chance that a fleet of a dozen trucks will have an average time-between-failures of 5000 miles or more

We are asked here for a sample of <em>12 trucks</em>, and this is a problem of <em>the sampling distribution of the means</em>.

In this case, we have samples from a <em>normally distributed data</em>, then, the sample means are also normally distributed. Mathematically:

\\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}})

In words, the samples means are normally distributed with the same mean of the population mean \\ \mu, but with a standard deviation \\ \frac{\sigma}{\sqrt{n}}.

We have also a standardized variable that follows a standard normal distribution (mean = 0, standard deviation = 1), and we use it to find the probability in question. That is

\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

\\ z \sim N(0, 1)

Then

The "average time-between-failures of 5000" is \\ \overline{x} = 5000. In other words, this is the mean of the sample of the 12 trucks.

Thus

\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

\\ z = \frac{5000 - 6000}{\frac{800}{\sqrt{12}}}

\\ z = \frac{-1000}{\frac{800}{\sqrt{12}}}

\\ z = \frac{-1000}{230.940148}

\\ z = -4.330126

This value is so low for z, that it tells us that P(z>-4.33) is almost 1, in other words it is almost certain that for a sample of 12 trucks, its average time-between-failures of 5000 miles or more is almost 1.

\\ P(z

\\ P(z

\\ P(z

The complement of P(z<-4.33) is:

\\ P(z>-4.33) = 1 - P(z or practically 1.

In conclusion, for a sample of 12 trucks, its average time-between-failures of 5000 miles or more is 0.9999925 or practically 1.

7 0
3 years ago
Can anyone help me plz
mario62 [17]

Answer:

4

Step-by-step explanation:

The answer is four because 10% of the whole tray (40) is 4

Equation:  

.1 * 40 = 4

4 0
3 years ago
Other questions:
  • 10th term: a1 = 320,r=0.5
    7·1 answer
  • Which are the solutions of x2 = 19x + 1?
    8·2 answers
  • Which shows the expressions rewritten with the least common denominator? 5x+3/3x and 7x/2x^2
    7·1 answer
  • Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou
    12·2 answers
  • Which of the following equations has a graph with a y-intercept of -8?
    6·1 answer
  • The number of hours (H) that it takes to paint a fence increases when the length of the fence (L) increases. Write the correct e
    9·1 answer
  • If the endpoints of the diameter of a circle are (−8, 0) and (−12, 2), what is the standard form equation of the circle? A) (x −
    10·1 answer
  • Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?
    7·1 answer
  • The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr
    13·1 answer
  • Find two solutions for f(x) = x2 + x - 6​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!