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
DaniilM [7]
4 years ago
12

How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?

Mathematics
2 answers:
FromTheMoon [43]4 years ago
8 0

Answer:

7 integers

Step-by-step explanation:

The inequality to solve is  3n^2-4

We can do algebra and solve this:

3n^2-4

If we solve 3n^2-48=0, we will get the intercepts. So:

3n^2-48=0\\3(n^2-16)=0\\n^2-16=0\\n^2=16\\n=4,-4

<em>Since, the inequality is less than, the solution set is all numbers between -4 and 4. So</em>

<em>-4 < n < 4</em>

<em />

<em>*note: -4 and 4 is NOT included, so the integers in the range are:</em>

<em>-3, -2, -1, 0, 1 , 2, 3</em>

<em>Which is </em><em>7 integers.</em>

Softa [21]4 years ago
8 0

Answer:

7

Step-by-step explanation:

You might be interested in
156
Sveta_85 [38]

Answer:

Third option: 80 people.

Step-by-step explanation:

Let be "x" the number of people that were surveyed.

You know that 48 people chose winter as their favorite season and these amount of people are the 60% of those questioned.

Knowing this,  you can calculate  the number of people that were surveyed with this procedure:

x=\frac{(48\ people)(100\%)}{60\%}\\\\x=(48\ people)(\frac{5}{3})\\\\x=80\ people

Therefore, 80 people were surveyed. This matches with the third option.

6 0
3 years ago
Suppose a claim is that the average pulse rates of women is μ = 73 and we wish to test this against an alternative hypothesis th
Pachacha [2.7K]

Answer:

P = 0.018

Step-by-step explanation:

In this problem, the null and alterantive hypothesis are:

H_0: \mu=73\\H_1: \mu \ne 73

If the sample has a size of n = 40, the degrees of freedom are 40-1 = 39.

If the value of the test statistic is t = 2.463, we can look up in a t-table to find the p-value. In this test, because the mean can be bigger than 73 or smaller than 73, we have to do a two-tailed test.

For a two-tailed test for t = 2.463 and df = 39, the P-value is P = 0.018.

8 0
4 years ago
mandy finished editing 38% of a book in 5 days. if the book is 300 hundred pages long how many pages did mandy edit so far
Roman55 [17]

Answer:

380 pages

Step-by-step explanation:

because if 30% equals 300 means 38% equals 380

6 0
3 years ago
Read 2 more answers
When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your eq
Andrej [43]

The loan's effective rate and interest compound every two months then the value of n would be 6.

Given that,

When calculating a loan's effective rate, the interest compounds every two months.

We have to determine,

What value of n do you plug into your equation?

According to the question,

The calculation of compounded interest would be derived with the following formula:

\rm P = \left (1+\dfrac{r}{n}\right)^{nt}\\\\

In a year there are 12 months and when the interest rate is said to be compounded every two months then it implies that the number of months would be 6 months.

Then,

The value of n is,

\rm 2n = 12\\\\n = \dfrac{12}{6}\\\\n = 6

Hence, The loan's effective rate and interest compounds every two months then the value of n would be 6.

For more details, about Interest Rate refers to the link given below.

brainly.com/question/7967946

8 0
2 years ago
Help pls<br> Points C, A, and B are collinear. Which of the following are opposite rays?
user100 [1]

Answer:

<h3>A and D </h3>

Step-by-step explanation:

Hope this helps

if its wrong i´m sorry i got my answer from math.way

7 0
3 years ago
Other questions:
  • ,<br><br> Solve each equation. Check your solutions.<br> 5+ x/2=16
    6·2 answers
  • This graph is _____. a) continuous b) discontinuous
    14·2 answers
  • Ten more than number is 62.
    6·1 answer
  • What is the value of x in the equation 3x-4y=65, when y=4?
    7·1 answer
  • Answer the question below on the paper plz :)
    13·1 answer
  • Please can someone help/
    9·1 answer
  • −3x+15x+7−8 plz help me
    15·1 answer
  • What is mortgage of a 400000.00 loan at 6% 30 year fixed
    14·1 answer
  • A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend
    11·1 answer
  • PLEASE HELP!!<br> i’m not understanding!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!