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
alexgriva [62]
3 years ago
6

What is the solution to the compound inequality 5+x>=3 or 6x+1<-29

Mathematics
2 answers:
Leviafan [203]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

suter [353]3 years ago
4 0
5+x\geq3 \vee 6x+1
You might be interested in
Find the solution to the following system of equations by using Substitution. To receive full credit, substitution must be used
Sever21 [200]

Answer:

see the attached picture.

3 0
3 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
Viktor [21]

Answer:

p_v =P(t_{(63)}>2.5)=0.0075  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=45 represent the mean height for the sample  

s=16 represent the sample standard deviation for the sample  

n=64 sample size  

\mu_o =40 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean age is higher than 40 years, the system of hypothesis would be:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{45-40}{\frac{16}{\sqrt{64}}}=2.5    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=64-1=63  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(63)}>2.5)=0.0075  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

6 0
3 years ago
Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.
Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0 (1)

Where r_{1}, r_{2} and r_{3} are the roots of the polynomial.

If we know that r_{1} = -1, r_{2} = 0 and r_{3} = 6, then the polynomial function in factorized form is:

p(x) = (x+1)\cdot x \cdot (x-6) (2)

And by Algebra we get the standard form of the function:

p(x) = x\cdot (x+1)\cdot (x-6)

p(x) = x\cdot (x^{2}-5\cdot x -6)

p(x) = x^{3}-5\cdot x^{2}-6\cdot x (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

6 0
3 years ago
After a 5% discount, a telephone bill is $79.50. How much was the bill originally?
ICE Princess25 [194]
The original bill is $ 83.475
7 0
3 years ago
A rectangle is a four sided flat shape where every interior is a right angle. Therefore, opposite sides are parallel and consecu
atroni [7]

The coordinates for point R will be (-1, -6). This is because a rectangle has opposite sides and as you plot your rectangle with these defines points along with that of R, you will be able to successfully achieve a perfect rectangle.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement best describes the faces that make up the total surface area of this composite solid?
    14·2 answers
  • Paige was counting her change. she counted six pennies and two times as many dimes as pennies. she also counted three nickels an
    8·1 answer
  • What is 0.3 of 14? The 0.3 might be a percent
    12·1 answer
  • Suppose you receive an allowance of $107 and your friend receives an allowance of $83 at the beginning of the month. If you spen
    13·1 answer
  • If you wanted to make a game where you pay $5 if you can't guess a random dogs weight within 16lbs what payout should you offer
    10·1 answer
  • If one factor of 6x^2+5x-6 is 3x-2, whats the other factor
    13·1 answer
  • Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent
    9·1 answer
  • You just started working for a company, where should you first look to find a confidentiality policy concerning the information
    8·1 answer
  • Is every even number greater than 2 the sum of 2 primes?
    10·1 answer
  • A die is rolled 200 times with the following results.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!