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
Salsk061 [2.6K]
3 years ago
7

What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2?

Mathematics
1 answer:
astraxan [27]3 years ago
7 0

(x + 7)/2 - (x + 4)/2 = (x + 7 - (x + 4)/2 = (x + 7 - x - 4)/2 = 3/2

You might be interested in
A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a
zaharov [31]

Answer:

a) P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

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

b) P(X

And we can find this probability uing the normal standard table:

P(z

c) P(3.5

And we can find this probability with this difference:

P(-1.25

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.25

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(5,1.2)  

Where \mu=5 and \sigma=1.2

We are interested on this probability

P(X>3.5)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

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

Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability uing the normal standard table:

P(z

Part c

P(3.5

And we can find this probability with this difference:

P(-1.25

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.25

3 0
3 years ago
8.4y−3.6y=48.96 i need help​
Marta_Voda [28]

Answer:i got 10.2

Step-by-step explanation:

7 0
2 years ago
How can i put the number 103,727,495 in expanded form
tia_tia [17]
How can i put the number 103,727,495 in expanded form
You can put the number 103, 727,495 in expanded form by:
<span><span>1.       </span>100, 000, 000 + 3,000, 000 + 700,000 + 20, 000 + 7, 000 + 400 + 90 + 5</span>

Which in words is.

<span><span>1.       </span>One hundred three million seven hundred twenty seven thousand four hundred ninety-five </span>



7 0
2 years ago
2^3 x 2^6 x 2^? = 2^12
kow [346]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which conversions from scientific notation to standard notation are true? Select the four correct answers.
Mashutka [201]

Answer:

b,e,g,h

Step-by-step explanation:

trust me

3 0
3 years ago
Other questions:
  • A rectangular piece of paper is 6 inches wide and 8 inches long. A square with a side of 3/4 inch is cut out from each of the fo
    8·1 answer
  • What is one thing that statistics can help you do?​
    8·1 answer
  • Which of the following expressions has a value of 4?​
    14·1 answer
  • Please help mee get the answer today
    14·1 answer
  • 1/5 of the mangoes in a bag is green ,0.75 are ripe and the remaining 12 mangoes are rotten . How many mangoes are there in the
    5·2 answers
  • Find the volume and thank for answer
    6·2 answers
  • Can you do this please need it done by midnight<br><br>​
    5·1 answer
  • 10 points for answer
    9·2 answers
  • Sam completed the square for the quadratic equation y=12x2−2x+3 in order to determine the minimum value of the equation, as show
    9·1 answer
  • -2 1/4 divided by (-1 1/2) =
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!